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BradyHammond/Topic_Modeler | visualization.py | 1 | 5384 | """=================================================="""
""" VISUALIZATION """
"""=================================================="""
""" AUTHOR: Brady Hammond """
""" CREATED: 09/26/17 """
""" EDITED BY: ----- """
""" EDITED: --/--/-- """
"""=================================================="""
""" FILE SETUP """
"""=================================================="""
import logging
import matplotlib.pyplot as pyplot
from wordcloud import WordCloud
import word_cloud_color
"""=================================================="""
""" CLASS DEFINITIONS """
"""=================================================="""
class visualizerObject(object):
def __init__(self, top_point_one_percent, top_point_two_five_percent, top_point_five_percent, mallet,
word_clouds_directory, distributions, documents, scatter_plot_directory):
self.top_point_one_percent = top_point_one_percent
self.top_point_two_five_percent = top_point_two_five_percent
self.top_point_five_percent = top_point_five_percent
self.mallet = mallet
self.word_clouds_directory = word_clouds_directory
self.distributions = distributions
self.documents = documents
self.scatter_plot_directory = scatter_plot_directory
# ==================================================
def setScatterPlotDirectory(self, scatter_plot_directory):
self.scatter_plot_directory = scatter_plot_directory
# ==================================================
def setWordCloudDirectory(self, word_clouds_directory):
self.word_clouds_directory = word_clouds_directory
# ==================================================
def generateWordClouds(self, number, model):
word_cloud = WordCloud(
background_color="white",
max_words=100,
width=1024,
height=1024,
)
color_to_words = {
"#2bf72d": self.top_point_one_percent,
"#9e40ed": self.top_point_two_five_percent,
"#103ffb": self.top_point_five_percent
}
default_color = "black"
grouped_color_function = word_cloud_color.GroupedColorFunc(color_to_words, default_color)
if self.mallet == True:
tuples = model.show_topic(number, num_words=100)
frequency_dictionary = dict([(entry[1], entry[0]) for entry in tuples])
for key in frequency_dictionary.keys():
if frequency_dictionary[key] == 0.0:
frequency_dictionary[key] = 0.00001
else:
tuples = model.show_topic(number, topn=100)
frequency_dictionary = dict(tuples)
for key in frequency_dictionary.keys():
if frequency_dictionary[key] == 0.0:
frequency_dictionary[key] = 0.00001
try:
word_cloud.generate_from_frequencies(frequency_dictionary)
word_cloud.recolor(color_func=grouped_color_function)
word_cloud.to_file(self.word_clouds_directory + "/word_cloud_" + str(number + 1) + ".png")
except Exception as exception:
logging.info(exception)
# ==================================================
def generateScatterPlots(self, number):
document_saturations = []
for distribution in self.distributions:
document_saturations.append(distribution[number][1])
x = range(0, len(self.documents))
figure = pyplot.figure(figsize=(10, 5), dpi=100)
figure.suptitle("Topic " + str(number + 1) + " Distribution", fontsize=14)
figure.add_subplot(1, 1, 1)
''' *** Add Document Titles to Scatter Plots ***
if self.chunk_size_input.text().lower() == "document":
pyplot.xticks(x, self.documents, rotation="vertical")
else:
ticks = []
for i in range(len(self.documents) - 1):
if i == (len(self.documents) - 1):
ticks.append(re.sub("_\d*$", "", self.documents[i]))
elif re.sub("_\d*$", "", self.documents[i]) == re.sub("_\d*$", "", self.documents[i+1]):
ticks.append(self.documents[i])
else:
ticks.append(re.sub("_\d*$", "", self.documents[i]))
pyplot.xticks(x, ticks, rotation="vertical")
axes = pyplot.axes()
for label in axes.xaxis.get_ticklabels():
if re.search("_\d*$", label.get_text()):
label.set_visible(False)
axes.xaxis.set_ticks_position("none")
'''
for label in pyplot.axes().xaxis.get_ticklabels():
label.set_visible(False)
pyplot.axes().xaxis.set_ticks_position("none")
pyplot.scatter(x, document_saturations, alpha=0.8, color="#3097d1")
pyplot.savefig(self.scatter_plot_directory + "/scatter_plot_" + str(number + 1) + ".png")
pyplot.clf()
pyplot.close()
"""=================================================="""
""" EOF """
"""=================================================="""
| gpl-3.0 |
openfisca/openfisca-qt | openfisca_qt/scripts/validation/check_consistency_tests.py | 1 | 4125 | # -*- coding:utf-8 -*-
# Created on 17 févr. 2013
# This file is part of OpenFisca.
# OpenFisca is a socio-fiscal microsimulation software
# Copyright © #2013 Clément Schaff, Mahdi Ben Jelloul
# Licensed under the terms of the GVPLv3 or later license
# (see openfisca/__init__.py for details)
from openfisca_core import model
from openfisca_core.columns import EnumCol
from openfisca_core.simulations import SurveySimulation
from pandas import concat
def check_entities(simulation):
is_ok = True
message = None
survey = simulation.survey
for entity in model.ENTITIES_INDEX:
id = survey.table['id' + entity]
head = survey.table['qui' + entity]
df = concat([id, head],axis=1)
grouped_by_id = df.groupby(id)
def is_there_head(group):
dummy = (group == 0).sum()
return dummy
headcount = grouped_by_id["qui"+entity].aggregate({entity + " heads" : is_there_head})
result = headcount[headcount[entity + " heads"] != 1]
if len(result) != 0:
is_ok = False
return is_ok, message
def check_inputs_enumcols(simulation):
"""
Check that the enumcols are consistent
with data in the survey dataframe
Parameters
----------
simulation : SurveySimulation
The simulation to check
Returns
-------
is_ok : bool
True or False according to tests
message : string
"""
# TODO: eventually should be a method of SurveySimulation specific for france
is_ok = True
message = None
survey = simulation.input_table
for var, varcol in survey.column_by_name.iteritems():
if isinstance(varcol, EnumCol):
try:
x = sorted(varcol.enum._nums.values())
if set(survey.table[var].unique()) > set(varcol.enum._nums.values()):
print "Wrong nums for %s" %var
print varcol.enum._nums
print sorted(survey.table[var].unique())
is_ok = False
except:
is_ok = False
print var
print "Wrong nums"
print varcol.enum
print sorted(survey.table[var].unique())
print "\n"
try:
x = varcol.enum._vars
except:
is_ok = False
print var
print "wrong vars"
print varcol.enum
print sorted(survey.table[var].unique())
print "\n"
return is_ok, message
def check_weights(simulation):
"""
Check weights positiveness
Parameters
----------
simulation : SurveySimulation
The simulation to check
Returns
-------
is_ok : boolean
True or False according to tests
message : string, None if is_ok is True
error message
"""
is_ok = True
message = None
survey = simulation.survey
WEIGHT = model.WEIGHT
weight = survey.get_value(WEIGHT)
nb = sum(weight<=0)
if nb != 0:
is_ok = False
message = "%i weights are less than or equal to zero" % nb
return is_ok, message
def toto(simulation):
survey = simulation.survey
# verifying the age of childrens
quifam = survey.get_value('quifam')
age = survey.get_value('age')
if sum((quifam >= 2) & (age >= 21)) != 0:
print "they are kids that are of age >= 21"
# Problemes
# enfants de plus de 21 ans et parents à charge dans les familles avec quifam=0
# idmen = survey.get_value('idmen')
# from numpy import max as max_
# print max_(idmen)
if __name__ == '__main__':
year = 2006
simulation = SurveySimulation()
simulation.set_config(year = year)
simulation.set_param()
simulation.set_survey()
ok, message = check_inputs_enumcols(simulation)
if not ok:
print message
ok, message = check_entities(simulation)
if not ok:
print message
ok, message = check_weights(simulation)
if not ok:
print message
| agpl-3.0 |
xguse/bokeh | bokeh/charts/_data_adapter.py | 43 | 8802 | """This is the Bokeh charts interface. It gives you a high level API to build
complex plot is a simple way.
This is the ChartObject class, a minimal prototype class to build more chart
types on top of it. It provides the mechanisms to support the shared chained
methods.
"""
#-----------------------------------------------------------------------------
# Copyright (c) 2012 - 2014, Continuum Analytics, Inc. All rights reserved.
#
# Powered by the Bokeh Development Team.
#
# The full license is in the file LICENSE.txt, distributed with this software.
#-----------------------------------------------------------------------------
#-----------------------------------------------------------------------------
# Imports
#-----------------------------------------------------------------------------
from __future__ import absolute_import
from six import string_types
from collections import OrderedDict
from ..properties import bokeh_integer_types, Datetime
try:
import numpy as np
except ImportError:
np = None
try:
import pandas as pd
except ImportError:
pd = None
try:
import blaze
except ImportError:
blaze=None
#-----------------------------------------------------------------------------
# Classes and functions
#-----------------------------------------------------------------------------
DEFAULT_INDEX_ALIASES = list('abcdefghijklmnopqrstuvz1234567890')
DEFAULT_INDEX_ALIASES += list(zip(DEFAULT_INDEX_ALIASES, DEFAULT_INDEX_ALIASES))
class DataAdapter(object):
"""
Adapter object used to normalize Charts inputs to a common interface.
Supported inputs are dict, list, tuple, np.ndarray and pd.DataFrame.
"""
def __init__(self, data, index=None, columns=None, force_alias=True):
self.__values = data
self._values = self.validate_values(data)
self.convert_index_to_int = False
self._columns_map = {}
self.convert_items_to_dict = False
if columns is None and force_alias:
# no column 'labels' defined for data... in this case we use
# default names
keys = getattr(self._values, 'keys', None)
if callable(keys):
columns = list(keys())
elif keys is None:
columns = list(map(str, range(len(data))))
else:
columns = list(keys)
if columns:
self._columns = columns
# define a mapping between the real keys to access data and the aliases
# we have defined using 'columns'
self._columns_map = dict(zip(columns, self.keys()))
if index is not None:
self._index = index
self.convert_items_to_dict = True
elif force_alias:
_index = getattr(self._values, 'index', None)
# check because if it is a callable self._values is not a
# dataframe (probably a list)
if _index is None:
indexes = self.index
if isinstance(indexes[0], int):
self._index = DEFAULT_INDEX_ALIASES[:][:len(self.values()[0])]
self.convert_items_to_dict = True
elif not callable(_index):
self._index = list(_index)
self.convert_items_to_dict = True
else:
self._index = DEFAULT_INDEX_ALIASES[:][:len(self.values()[0])]
self.convert_items_to_dict = True
@staticmethod
def is_number(value):
numbers = (float, ) + bokeh_integer_types
return isinstance(value, numbers)
@staticmethod
def is_datetime(value):
try:
dt = Datetime(value)
dt # shut up pyflakes
return True
except ValueError:
return False
@staticmethod
def validate_values(values):
if np and isinstance(values, np.ndarray):
if len(values.shape) == 1:
return np.array([values])
else:
return values
elif pd and isinstance(values, pd.DataFrame):
return values
elif isinstance(values, (dict, OrderedDict)):
if all(DataAdapter.is_number(x) for x in values.values()):
return values
return values
elif isinstance(values, (list, tuple)):
if all(DataAdapter.is_number(x) for x in values):
return [values]
return values
elif hasattr(values, '__array__'):
values = pd.DataFrame(np.asarray(values))
return values
# TODO: Improve this error message..
raise TypeError("Input type not supported! %s" % values)
def index_converter(self, x):
key = self._columns_map.get(x, x)
if self.convert_index_to_int:
key = int(key)
return key
def keys(self):
# assuming it's a dict or dataframe
keys = getattr(self._values, "keys", None)
if callable(keys):
return list(keys())
elif keys is None:
self.convert_index_to_int = True
indexes = range(len(self._values))
return list(map(str, indexes))
else:
return list(keys)
def __len__(self):
return len(self.values())
def __iter__(self):
for k in self.keys():
yield k
def __getitem__(self, key):
val = self._values[self.index_converter(key)]
# if we have "index aliases" we need to remap the values...
if self.convert_items_to_dict:
val = dict(zip(self._index, val))
return val
def values(self):
return self.normalize_values(self._values)
@staticmethod
def normalize_values(values):
_values = getattr(values, "values", None)
if callable(_values):
return list(_values())
elif _values is None:
return values
else:
# assuming it's a dataframe, in that case it returns transposed
# values compared to it's dict equivalent..
return list(_values.T)
def items(self):
return [(key, self[key]) for key in self]
def iterkeys(self):
return iter(self)
def itervalues(self):
for k in self:
yield self[k]
def iteritems(self):
for k in self:
yield (k, self[k])
@property
def columns(self):
try:
return self._columns
except AttributeError:
return list(self.keys())
@property
def index(self):
try:
return self._index
except AttributeError:
index = getattr(self._values, "index", None)
if not callable(index) and index is not None:
# guess it's a pandas dataframe..
return index
# no, it's not. So it's probably a list so let's get the
# values and check
values = self.values()
if isinstance(values, dict):
return list(values.keys())
else:
first_el = self.values()[0]
if isinstance(first_el, dict):
indexes = list(first_el.keys())
else:
indexes = range(0, len(self.values()[0]))
self._index = indexes
return indexes
#-----------------------------------------------------------------------------
# Convenience methods
#-----------------------------------------------------------------------------
@staticmethod
def get_index_and_data(values, index=None):
"""Parse values (that must be one of the DataAdapter supported
input types) and create an separate/create index and data
depending on values type and index.
Args:
values (iterable): container that holds data to be plotted using
on the Chart classes
Returns:
A tuple of (index, values), where: ``index`` is an iterable that
represents the data index and ``values`` is an iterable containing
the values to be plotted.
"""
_values = DataAdapter(values, force_alias=False)
if hasattr(values, 'keys'):
if index is not None:
if isinstance(index, string_types):
xs = _values[index]
else:
xs = index
else:
try:
xs = _values.index
except AttributeError:
xs = values.index
else:
if index is None:
xs = _values.index
elif isinstance(index, string_types):
xs = _values[index]
else:
xs = index
return xs, _values
| bsd-3-clause |
shikhardb/scikit-learn | doc/tutorial/text_analytics/skeletons/exercise_01_language_train_model.py | 254 | 2005 | """Build a language detector model
The goal of this exercise is to train a linear classifier on text features
that represent sequences of up to 3 consecutive characters so as to be
recognize natural languages by using the frequencies of short character
sequences as 'fingerprints'.
"""
# Author: Olivier Grisel <[email protected]>
# License: Simplified BSD
import sys
from sklearn.feature_extraction.text import TfidfVectorizer
from sklearn.linear_model import Perceptron
from sklearn.pipeline import Pipeline
from sklearn.datasets import load_files
from sklearn.cross_validation import train_test_split
from sklearn import metrics
# The training data folder must be passed as first argument
languages_data_folder = sys.argv[1]
dataset = load_files(languages_data_folder)
# Split the dataset in training and test set:
docs_train, docs_test, y_train, y_test = train_test_split(
dataset.data, dataset.target, test_size=0.5)
# TASK: Build a an vectorizer that splits strings into sequence of 1 to 3
# characters instead of word tokens
# TASK: Build a vectorizer / classifier pipeline using the previous analyzer
# the pipeline instance should stored in a variable named clf
# TASK: Fit the pipeline on the training set
# TASK: Predict the outcome on the testing set in a variable named y_predicted
# Print the classification report
print(metrics.classification_report(y_test, y_predicted,
target_names=dataset.target_names))
# Plot the confusion matrix
cm = metrics.confusion_matrix(y_test, y_predicted)
print(cm)
#import pylab as pl
#pl.matshow(cm, cmap=pl.cm.jet)
#pl.show()
# Predict the result on some short new sentences:
sentences = [
u'This is a language detection test.',
u'Ceci est un test de d\xe9tection de la langue.',
u'Dies ist ein Test, um die Sprache zu erkennen.',
]
predicted = clf.predict(sentences)
for s, p in zip(sentences, predicted):
print(u'The language of "%s" is "%s"' % (s, dataset.target_names[p]))
| bsd-3-clause |
BhallaLab/moose | moose-core/python/moose/recording.py | 4 | 4690 | # -*- coding: utf-8 -*-
from __future__ import print_function
try:
from future_builtins import zip
except ImportError:
pass
from . import moose as _moose
_tick = 8
_base = '/_utils'
_path = _base + '/y{0}'
_counter = 0
_plots = []
_moose.Neutral( _base )
_defaultFields = {
_moose.Compartment : 'Vm',
_moose.ZombieCompartment : 'Vm',
_moose.HHChannel: 'Gk',
_moose.ZombieHHChannel: 'Gk',
_moose.HHChannel2D: 'Gk',
_moose.SynChan: 'Gk',
_moose.CaConc: 'Ca',
_moose.ZombieCaConc: 'Ca',
_moose.Pool: 'conc',
_moose.ZombiePool: 'conc',
_moose.ZPool: 'conc',
_moose.BufPool: 'conc',
_moose.ZombieBufPool: 'conc',
_moose.ZBufPool: 'conc',
_moose.FuncPool: 'conc',
_moose.ZombieFuncPool: 'conc',
_moose.ZFuncPool: 'conc',
}
def _defaultField( obj ):
return _defaultFields[ type( obj ) ]
def setDt( dt ):
'''-----------
Description
-----------
Sets time-step for recording values.
---------
Arguments
---------
dt: Time-step for recording values.
-------
Returns
-------
Nothing.'''
_moose.setClock( _tick, dt )
class SetupError( Exception ):
pass
def _time( npoints = None ):
import numpy
if npoints is None:
try:
npoints = len( _plots[ 0 ].vec )
except IndexError:
raise SetupError(
'List of time-points cannot be constructed because '
'no plots have been set up yet.'
)
begin = 0.0
end = _moose.Clock( '/clock' ).currentTime
return numpy.linspace( begin, end, npoints )
class _Plot( _moose.Table ):
def __init__( self, path, obj, field, label ):
_moose.Table.__init__( self, path )
self._table = _moose.Table( path )
self.obj = obj
self.field = field
self.label = label
@property
def values( self ):
return self._table.vec
@property
def size( self ):
return len( self.values )
@property
def time( self ):
return _time( self.size )
def __iter__( self ):
return iter( self.values )
def record( obj, field = None, label = None ):
'''
'''
global _counter
# Checking if object is an iterable like list or a tuple, but not a string.
if hasattr( obj, '__iter__' ):
return [ record( o, field, label ) for o in obj ]
if isinstance( obj, str ):
obj = _moose.element( obj )
if field is None:
field = _defaultField( obj )
path = _path.format( _counter )
_counter += 1
p = _Plot( path, obj, field, label )
_plots.append( p )
_moose.connect( p, "requestData", obj, 'get_' + field )
_moose.useClock( _tick, path, "process" )
return p
def _label( plot, labelFormat = '{path}.{field}' ):
# Over-ride label format if label has been given explicitly.
if plot.label:
labelFormat = plot.label
return labelFormat.format(
path = plot.obj.path,
name = plot.obj.name,
field = plot.field
)
def _selectedPlots( selected ):
if selected is None:
# Returning a copy of this list, instead of reference. The returned
# list will be manipulated later.
return _plots[ : ]
elif isinstance( selected, _Plot ):
return [ selected ]
else:
return selected
def saveCSV(
fileName,
selected = None,
delimiter = '\t',
header = True,
headerCommentCharacter = '#',
labelFormat = '{path}.{field}',
timeCol = True,
timeHeader = 'Time',
fileMode = 'w' ):
'''
'''
import csv
plots = _selectedPlots( selected )
if header:
header = []
if timeCol:
header.append( timeHeader )
for plot in plots:
header.append( _label( plot, labelFormat ) )
header[ 0 ] = headerCommentCharacter + header[ 0 ]
if timeCol:
plots.insert( 0, _time() )
with open( fileName, fileMode ) as fout:
writer = csv.writer( fout, delimiter = delimiter )
if header:
writer.writerow( header )
writer.writerows( list(zip( *plots )) )
def saveXPLOT(
fileName,
selected = None,
labelFormat = '{path}.{field}',
fileMode = 'w' ):
'''
'''
plots = _selectedPlots( selected )
with open( fileName, fileMode ) as fout:
write = lambda line: fout.write( line + '\n' )
for ( i, plot ) in enumerate( plots ):
label = '/plotname ' + _label( plot, labelFormat )
if i > 0:
write( '' )
write( '/newplot' )
write( label )
for value in plot:
write( str( value ) )
def show(
selected = None,
combine = True,
labelFormat = '{path}.{field}',
xLabel = 'Time (s)',
yLabel = '{field}' ):
'''
'''
try:
from matplotlib import pyplot as plt
except ImportError:
print("Warning: recording.show(): Cannot find 'matplotlib'. Not showing plots.")
return
plots = _selectedPlots( selected )
if combine:
plt.figure()
for plot in plots:
if not combine:
plt.figure()
print(_label(plot))
plt.plot( plot.time, plot.values, label = _label( plot ) )
plt.legend()
plt.show()
def HDF5():
pass
| gpl-3.0 |
ckinzthompson/biasd | biasd/gui/posterior.py | 1 | 3373 | # -*- coding: utf-8 -*-®
'''
GUI written in QT5 to perform ...
'''
from PyQt5.QtWidgets import QApplication, QWidget, QVBoxLayout, QHBoxLayout, QPushButton, QComboBox, QLabel, QLineEdit, QMessageBox, QMainWindow, QShortcut, QSpinBox, QGroupBox, QSizePolicy, QFileDialog
from PyQt5.QtGui import QStandardItemModel, QStandardItem
from PyQt5.QtCore import Qt
# Make sure that we are using QT5
import matplotlib
matplotlib.use('Qt5Agg')
from matplotlib.backends.backend_qt5agg import FigureCanvas
import sys
import biasd as b
import numpy as np
from smd_loader import ui_loader
class posterior(QWidget):
def __init__(self,parent):
super(QWidget,self).__init__(parent=parent)
self.initialize()
def initialize(self):
self.vbox = QVBoxLayout()
hbox = QHBoxLayout()
bcorner = QPushButton("&Choose Posterior")
bcorner.clicked.connect(self.load_posterior)
bsave = QPushButton("&Save Figure")
bsave.clicked.connect(self.savefig)
hbox.addWidget(bcorner)
hbox.addWidget(bsave)
hbox.addStretch(1)
self.vbox.addLayout(hbox)
self.vbox.addStretch(1)
self.setLayout(self.vbox)
self.setMinimumSize(800,800)
self.setGeometry(200,0,800,800)
self.setWindowTitle('View Posteriors')
self.show()
def savefig(self):
oname = QFileDialog.getSaveFileName(self,"Save Figure",'./','jpg (*.jpg);;png (*.png);;pdf (*.pdf);;eps (*.eps)')
self.setFocus()
try:
self.fig.print_figure(oname[0]) # B/c it's a canvas not a figure....
except:
QMessageBox.critical(None,"Could Not Save","Could not save file: %s\n."%(oname[0]))
def get_smd_filename(self):
return self.parent().parent().get_smd_filename()
def load_posterior(self):
try:
self.loader.close()
except:
pass
self.loader = ui_loader(self,select=True)
self.loader.show()
def select_callback(self,location):
self.loader.close()
self.ploc = location
self.plot_corner()
def plot_corner(self):
fn = self.get_smd_filename()
f = b.smd.load(fn)
g = f[self.ploc]
if g.attrs.keys().count('description') > 0:
if g.attrs['description'] == "BIASD MCMC result":
r = b.smd.read.mcmc(g)
f.close()
s = r.chain
maxauto = np.max((1,int(r.acor.max())))
s = s[:,::maxauto]
s = s.reshape((s.shape[0]*s.shape[1],5))
self.new_corner(s)
return
elif g.attrs['description'] == 'BIASD Laplace posterior':
r = b.smd.read.laplace_posterior(g)
s = np.random.multivariate_normal(r.mu,r.covar,size=10000)
self.new_corner(s)
return
print 'This is not a posterior...'
def new_corner(self,s):
try:
self.fig.close()
except:
pass
self.fig = FigureCanvas(b.mcmc.plot_corner(s))
self.fig.setSizePolicy(QSizePolicy.Expanding,QSizePolicy.Expanding)
self.vbox.addWidget(self.fig)
def keyPressEvent(self,event):
if event.key() == Qt.Key_Escape:
self.parent().close()
elif event.key() == Qt.Key_C:
self.load_posterior()
elif event.key() == Qt.Key_S:
self.savefig()
class ui_posterior(QMainWindow):
def __init__(self,parent=None):
super(QMainWindow,self).__init__(parent)
self.ui = posterior(self)
self.setCentralWidget(self.ui)
self.show()
def closeEvent(self,event):
self.parent().activateWindow()
self.parent().raise_()
self.parent().setFocus()
if __name__ == '__main__':
import sys
app = QApplication(sys.argv)
w = ui_posterior()
sys.exit(app.exec_())
| mit |
kernc/scikit-learn | sklearn/manifold/isomap.py | 50 | 7515 | """Isomap for manifold learning"""
# Author: Jake Vanderplas -- <[email protected]>
# License: BSD 3 clause (C) 2011
import numpy as np
from ..base import BaseEstimator, TransformerMixin
from ..neighbors import NearestNeighbors, kneighbors_graph
from ..utils import check_array
from ..utils.graph import graph_shortest_path
from ..decomposition import KernelPCA
from ..preprocessing import KernelCenterer
class Isomap(BaseEstimator, TransformerMixin):
"""Isomap Embedding
Non-linear dimensionality reduction through Isometric Mapping
Read more in the :ref:`User Guide <isomap>`.
Parameters
----------
n_neighbors : integer
number of neighbors to consider for each point.
n_components : integer
number of coordinates for the manifold
eigen_solver : ['auto'|'arpack'|'dense']
'auto' : Attempt to choose the most efficient solver
for the given problem.
'arpack' : Use Arnoldi decomposition to find the eigenvalues
and eigenvectors.
'dense' : Use a direct solver (i.e. LAPACK)
for the eigenvalue decomposition.
tol : float
Convergence tolerance passed to arpack or lobpcg.
not used if eigen_solver == 'dense'.
max_iter : integer
Maximum number of iterations for the arpack solver.
not used if eigen_solver == 'dense'.
path_method : string ['auto'|'FW'|'D']
Method to use in finding shortest path.
'auto' : attempt to choose the best algorithm automatically.
'FW' : Floyd-Warshall algorithm.
'D' : Dijkstra's algorithm.
neighbors_algorithm : string ['auto'|'brute'|'kd_tree'|'ball_tree']
Algorithm to use for nearest neighbors search,
passed to neighbors.NearestNeighbors instance.
n_jobs : int, optional (default = 1)
The number of parallel jobs to run.
If ``-1``, then the number of jobs is set to the number of CPU cores.
Attributes
----------
embedding_ : array-like, shape (n_samples, n_components)
Stores the embedding vectors.
kernel_pca_ : object
`KernelPCA` object used to implement the embedding.
training_data_ : array-like, shape (n_samples, n_features)
Stores the training data.
nbrs_ : sklearn.neighbors.NearestNeighbors instance
Stores nearest neighbors instance, including BallTree or KDtree
if applicable.
dist_matrix_ : array-like, shape (n_samples, n_samples)
Stores the geodesic distance matrix of training data.
References
----------
.. [1] Tenenbaum, J.B.; De Silva, V.; & Langford, J.C. A global geometric
framework for nonlinear dimensionality reduction. Science 290 (5500)
"""
def __init__(self, n_neighbors=5, n_components=2, eigen_solver='auto',
tol=0, max_iter=None, path_method='auto',
neighbors_algorithm='auto', n_jobs=1):
self.n_neighbors = n_neighbors
self.n_components = n_components
self.eigen_solver = eigen_solver
self.tol = tol
self.max_iter = max_iter
self.path_method = path_method
self.neighbors_algorithm = neighbors_algorithm
self.n_jobs = n_jobs
def _fit_transform(self, X):
X = check_array(X)
self.nbrs_ = NearestNeighbors(n_neighbors=self.n_neighbors,
algorithm=self.neighbors_algorithm,
n_jobs=self.n_jobs)
self.nbrs_.fit(X)
self.training_data_ = self.nbrs_._fit_X
self.kernel_pca_ = KernelPCA(n_components=self.n_components,
kernel="precomputed",
eigen_solver=self.eigen_solver,
tol=self.tol, max_iter=self.max_iter,
n_jobs=self.n_jobs)
kng = kneighbors_graph(self.nbrs_, self.n_neighbors,
mode='distance', n_jobs=self.n_jobs)
self.dist_matrix_ = graph_shortest_path(kng,
method=self.path_method,
directed=False)
G = self.dist_matrix_ ** 2
G *= -0.5
self.embedding_ = self.kernel_pca_.fit_transform(G)
def reconstruction_error(self):
"""Compute the reconstruction error for the embedding.
Returns
-------
reconstruction_error : float
Notes
-------
The cost function of an isomap embedding is
``E = frobenius_norm[K(D) - K(D_fit)] / n_samples``
Where D is the matrix of distances for the input data X,
D_fit is the matrix of distances for the output embedding X_fit,
and K is the isomap kernel:
``K(D) = -0.5 * (I - 1/n_samples) * D^2 * (I - 1/n_samples)``
"""
G = -0.5 * self.dist_matrix_ ** 2
G_center = KernelCenterer().fit_transform(G)
evals = self.kernel_pca_.lambdas_
return np.sqrt(np.sum(G_center ** 2) - np.sum(evals ** 2)) / G.shape[0]
def fit(self, X, y=None):
"""Compute the embedding vectors for data X
Parameters
----------
X : {array-like, sparse matrix, BallTree, KDTree, NearestNeighbors}
Sample data, shape = (n_samples, n_features), in the form of a
numpy array, precomputed tree, or NearestNeighbors
object.
Returns
-------
self : returns an instance of self.
"""
self._fit_transform(X)
return self
def fit_transform(self, X, y=None):
"""Fit the model from data in X and transform X.
Parameters
----------
X: {array-like, sparse matrix, BallTree, KDTree}
Training vector, where n_samples in the number of samples
and n_features is the number of features.
Returns
-------
X_new: array-like, shape (n_samples, n_components)
"""
self._fit_transform(X)
return self.embedding_
def transform(self, X):
"""Transform X.
This is implemented by linking the points X into the graph of geodesic
distances of the training data. First the `n_neighbors` nearest
neighbors of X are found in the training data, and from these the
shortest geodesic distances from each point in X to each point in
the training data are computed in order to construct the kernel.
The embedding of X is the projection of this kernel onto the
embedding vectors of the training set.
Parameters
----------
X: array-like, shape (n_samples, n_features)
Returns
-------
X_new: array-like, shape (n_samples, n_components)
"""
X = check_array(X)
distances, indices = self.nbrs_.kneighbors(X, return_distance=True)
# Create the graph of shortest distances from X to self.training_data_
# via the nearest neighbors of X.
# This can be done as a single array operation, but it potentially
# takes a lot of memory. To avoid that, use a loop:
G_X = np.zeros((X.shape[0], self.training_data_.shape[0]))
for i in range(X.shape[0]):
G_X[i] = np.min(self.dist_matrix_[indices[i]] +
distances[i][:, None], 0)
G_X **= 2
G_X *= -0.5
return self.kernel_pca_.transform(G_X)
| bsd-3-clause |
peter-kiechle/tactile-sensors | python/step_detection/step_detection_tactile_sensor.py | 1 | 5264 | # -*- coding: utf-8 -*-
import os, sys
print("CWD: " + os.getcwd() )
config_path = os.path.abspath('../matplotlib/')
sys.path.append(config_path)
lib_path = os.path.abspath('../../lib')
sys.path.append(lib_path)
# Load configuration file (before pyplot)
import configuration as config
import numpy as np
import scipy.ndimage as ndi
import cv2
import matplotlib.pyplot as plt
import framemanager_python
# Force reloading of external library (convenient during active development)
reload(framemanager_python)
# Taken from http://stackoverflow.com/questions/4494404/find-large-number-of-consecutive-values-fulfilling-condition-in-a-numpy-array
# Author: Joe Kington
def contiguous_regions(condition):
"""Finds contiguous True regions of the boolean array "condition". Returns
a 2D array where the first column is the start index of the region and the
second column is the end index."""
# Find the indicies of changes in "condition"
d = np.diff(condition)
idx, = d.nonzero()
# We need to start things after the change in "condition". Therefore,
# we'll shift the index by 1 to the right.
idx += 1
if condition[0]:
# If the start of condition is True prepend a 0
idx = np.r_[0, idx]
if condition[-1]:
# If the end of condition is True, append the length of the array
idx = np.r_[idx, condition.size] # Edit
# Reshape the result into two columns
idx.shape = (-1,2)
return idx
profileName = os.path.abspath("some_steps.dsa")
frameManager = framemanager_python.FrameManagerWrapper()
frameManager.load_profile(profileName);
numTSFrames = frameManager.get_tsframe_count();
starttime = frameManager.get_tsframe_timestamp(0)
stoptime = frameManager.get_tsframe_timestamp(numTSFrames)
max_matrix_1 = frameManager.get_max_matrix_list(1)
max_matrix_5 = frameManager.get_max_matrix_list(5)
# Time stamps
timestamps = frameManager.get_tsframe_timestamp_list()
timestamps = (timestamps-timestamps[0]) / 1000.0 # Relative timestamps in seconds
# Simple smoothing
#filtered_matrix_5 = ndi.filters.median_filter(max_matrix_5, size=5, mode='reflect')
#filtered_matrix_5 = ndi.uniform_filter1d(max_matrix_5, size=10, mode='reflect')
# Edge detection
sobel = ndi.sobel(max_matrix_5, mode='reflect')
#laplace = ndi.laplace(max_matrix_5, mode='reflect') # Too sensitive to noise
#gaussian_laplace = ndi.filters.gaussian_laplace(max_matrix_5, sigma=1.0, mode='reflect')
#gaussian_gradient_magnitude = ndi.filters.gaussian_gradient_magnitude(max_matrix_5, sigma=1.0, mode='reflect')
max_matrix_5_cv = (max_matrix_5/(4096.0/255.0)).astype(np.uint8) # Scale [0..255], convert to CV_8U
canny = cv2.Canny(max_matrix_5_cv, 10, 20) # Hysteresis Thresholding:
canny = canny.astype(np.float64) * (sobel.max()/255.0) # Scale to comparable scale
#---------------------------------
# Simple step detection algorithm
#---------------------------------
# Find all non-zero sequences
# Throw small sequencs away. Actual grasps are remaining
# For more elaborated methods: http://en.wikipedia.org/wiki/Step_detection
thresh_sequence = 10 # Minimum length of a sequence to be considered a "grasp"
grasp_begin = []
grasp_end = []
for start, stop in contiguous_regions(max_matrix_5 != 0):
if (stop-start) > thresh_sequence:
grasp_begin.append([start, max_matrix_5[start]])
grasp_end.append([stop-1, max_matrix_5[stop-1]])
############
# Plotting
############
text_width = 6.30045 # LaTeX text width in inches
golden_ratio = (1 + np.sqrt(5) ) / 2.0
size_factor = 1.0
figure_width = size_factor*text_width
#figure_height = (figure_width / golden_ratio)
figure_height = 1.3 * figure_width
figure_size = [figure_width, figure_height]
config.load_config_large()
fig = plt.figure(figsize=figure_size)
# Axis 1
ax1 = fig.add_subplot(2,1,1)
ax1.plot(max_matrix_5, "-", label="Max Matrix 5")
#ax1.plot(filtered_matrix_5, "-", marker="x", markersize=4, label="Median Matrix 5")
ax1.plot([p[0] for p in grasp_begin], [p[1] for p in grasp_begin], "o", markersize=8, color="green", label="Grasp begin")
ax1.plot([p[0] for p in grasp_end], [p[1] for p in grasp_end], "o", markersize=8, color="red", label="Grasp end")
#ax1.set_xlim([xmin,xmax])
ax1.set_ylim([0, 1.2*np.max(max_matrix_5)])
ax1.set_xlabel("# Frames")
ax1.set_ylabel("Raw Sensor Value", rotation=90)
ax1.set_title("Step detection by finding long non-zero sequences in tactile sensor readings", y=1.10)
# Second axis for time
ax1_time = ax1.twiny()
dummy = ax1_time.plot(timestamps, np.ones([timestamps.size]))
dummy.pop(0).remove()
ax1_time.set_xlabel("Time [s]")
ax1.legend(loc = 'upper left')
# Axis 2
ax2 = fig.add_subplot(2,1,2, sharex=ax1)
ax2.plot(sobel, label="Sobel")
#ax2.plot(laplace, label="Laplace")
#ax2.plot(gaussian_laplace, label="Gaussian laplace")
#ax2.plot(gaussian_gradient_magnitude, label="Gaussian gradient magnitude")
ax2.plot(canny, label="Canny")
ax2.set_xlabel("# Frames")
ax2.set_ylabel("Filtered", rotation=90)
ax2.legend(loc = 'lower left')
fig.tight_layout()
#plt.show()
plotname = "step_detection_tactile_sensors"
fig.savefig(plotname+".pdf", pad_inches=0, dpi=fig.dpi) # pdf
#fig.savefig(plotname+".pgf", pad_inches=0, dpi=fig.dpi) # pgf
plt.close()
| gpl-3.0 |
shaunstanislaus/pandashells | pandashells/test/plot_lib_tests.py | 7 | 10281 | #! /usr/bin/env python
import os
import tempfile
import shutil
from unittest import TestCase
from pandashells.lib import plot_lib, arg_lib
import argparse
from mock import patch, MagicMock
import matplotlib as mpl
import pylab as pl
import pandas as pd
from dateutil.parser import parse
class PlotLibTests(TestCase):
def setUp(self):
pl.plot(range(10))
self.dir_name = tempfile.mkdtemp()
def tearDown(self):
shutil.rmtree(self.dir_name)
pl.clf()
@patch('pandashells.lib.plot_lib.pl.show')
def test_show_calls_pylab_show(self, show_mock):
"""show() call pylab.show()
"""
args = MagicMock(savefig=[])
plot_lib.show(args)
self.assertTrue(show_mock.called)
def test_show_creates_png_file(self):
"""show() saves a png file
"""
file_name = os.path.join(self.dir_name, 'plot.png')
args = MagicMock(savefig=[file_name])
plot_lib.show(args)
self.assertTrue(os.path.isfile(file_name))
def test_show_creates_html_file(self):
"""show() saves a png file
"""
file_name = os.path.join(self.dir_name, 'plot.html')
args = MagicMock(savefig=[file_name])
xlabel = 'my_xlabel_string'
pl.xlabel(xlabel)
plot_lib.show(args)
with open(file_name) as f:
self.assertTrue(xlabel in f.read())
def test_set_plot_styling(self):
"""set_plot_styling() alters mpl.rcParams
"""
args = MagicMock(
plot_context=['talk'],
plot_theme=['darkgrid'],
plot_palette=['muted'],
)
mpl.rcParams['axes.color_cycle'] = ['m', 'c']
mpl.rcParams['axes.labelsize'] = 1
mpl.rcParams['axes.titlesize'] = 1
rc_pre = dict(mpl.rcParams)
plot_lib.set_plot_styling(args)
rc_post = dict(mpl.rcParams)
self.assertNotEqual(
rc_pre['axes.color_cycle'], rc_post['axes.color_cycle'])
self.assertNotEqual(
rc_pre['axes.labelsize'], rc_post['axes.labelsize'])
self.assertNotEqual(
rc_pre['axes.titlesize'], rc_post['axes.titlesize'])
def test_set_plot_limits_no_args(self):
"""set_limits() properly does nothing when nothing specified
"""
args = MagicMock(savefig='', xlim=[], ylim=[])
plot_lib.set_limits(args)
self.assertEqual(pl.gca().get_xlim(), (0.0, 9.0))
self.assertEqual(pl.gca().get_ylim(), (0.0, 9.0))
def test_set_plot_limits(self):
"""set_limits() properly sets limits
"""
args = MagicMock(savefig='', xlim=[-2, 2], ylim=[-3, 3])
plot_lib.set_limits(args)
self.assertEqual(pl.gca().get_xlim(), (-2.0, 2.0))
self.assertEqual(pl.gca().get_ylim(), (-3.0, 3.0))
def test_set_log_scale(self):
args = MagicMock(savefig='', xlog=True, ylog=True)
plot_lib.set_scale(args)
self.assertEqual(pl.gca().get_xscale(), 'log')
self.assertEqual(pl.gca().get_yscale(), 'log')
def test_keep_lin_scale(self):
args = MagicMock(savefig='', xlog=False, ylog=False)
plot_lib.set_scale(args)
self.assertEqual(pl.gca().get_xscale(), 'linear')
self.assertEqual(pl.gca().get_yscale(), 'linear')
def test_set_labels_titles_no_args(self):
"""set_labels_title() properly does nothing when nothing specified
"""
args = MagicMock(savefig='', title=[], xlabel=[], ylabel=[])
plot_lib.set_labels_title(args)
self.assertEqual(pl.gca().get_title(), '')
self.assertEqual(pl.gca().get_xlabel(), '')
self.assertEqual(pl.gca().get_ylabel(), '')
def test_set_labels_titles(self):
"""set_labels_title() properly sets labels and titles
"""
args = MagicMock(savefig='', title=['t'], xlabel=['x'], ylabel=['y'])
plot_lib.set_labels_title(args)
self.assertEqual(pl.gca().get_title(), 't')
self.assertEqual(pl.gca().get_xlabel(), 'x')
self.assertEqual(pl.gca().get_ylabel(), 'y')
@patch('pandashells.lib.plot_lib.pl.legend')
def test_set_legend_no_args(self, legend_mock):
"""set_legend() properly does nothing when nothing specified
"""
args = MagicMock(savefig='', legend=[])
plot_lib.set_legend(args)
self.assertFalse(legend_mock.called)
@patch('pandashells.lib.plot_lib.pl.legend')
def test_set_legend_best(self, legend_mock):
"""set_legend() properly calls legend when specified
"""
args = MagicMock(savefig='', legend=['best'])
plot_lib.set_legend(args)
legend_mock.assert_called_with(loc='best')
@patch('pandashells.lib.plot_lib.pl.legend')
def test_set_legend_int(self, legend_mock):
"""set_legend() properly calls legend when specified
"""
args = MagicMock(savefig='', legend=['3'])
plot_lib.set_legend(args)
legend_mock.assert_called_with(loc=3)
def test_set_grid_no_grid(self):
"""set_grid() properly does nothing when no_grid set
"""
args = MagicMock(savefig='', no_grid=True)
plot_lib.set_grid(args)
self.assertFalse(pl.gca().xaxis._gridOnMajor)
def test_set_grid_with_grid(self):
"""set_grid() properly sets grid when specified
"""
args = MagicMock(savefig='', no_grid=False)
plot_lib.set_grid(args)
self.assertTrue(pl.gca().xaxis._gridOnMajor)
@patch('pandashells.lib.plot_lib.sys.stderr')
@patch('pandashells.lib.plot_lib.sys.exit')
def test_ensure_xy_args_bad(self, exit_mock, stderr_mock):
"""ensure_xy_args() exits when args are bad
"""
stderr_mock.write = MagicMock()
args = MagicMock(x=None, y=True)
plot_lib.ensure_xy_args(args)
self.assertTrue(exit_mock.called)
@patch('pandashells.lib.plot_lib.sys.stderr')
@patch('pandashells.lib.plot_lib.sys.exit')
def test_ensure_xy_args_good(self, exit_mock, stderr_mock):
"""ensure_xy_args() doesn't exit when args okay
"""
stderr_mock.write = MagicMock()
args = MagicMock(x=None, y=None)
plot_lib.ensure_xy_args(args)
self.assertFalse(exit_mock.called)
@patch('pandashells.lib.plot_lib.sys.stderr')
@patch('pandashells.lib.plot_lib.sys.exit')
def test_ensure_xy_omission_state_bad(self, exit_mock, stderr_mock):
"""ensure_xy_omission_state() identifies bad inputs
"""
stderr_mock.write = MagicMock()
args = MagicMock(x=None, y=None)
df = MagicMock(columns=[1, 2, 3])
plot_lib.ensure_xy_omission_state(args, df)
self.assertTrue(exit_mock.called)
@patch('pandashells.lib.plot_lib.sys.stderr')
@patch('pandashells.lib.plot_lib.sys.exit')
def test_ensure_xy_omission_state_good(self, exit_mock, stderr_mock):
"""ensure_xy_omission_state() identifies bad inputs
"""
stderr_mock.write = MagicMock()
args = MagicMock(x=None, y=None)
df = MagicMock(columns=[1, 2])
plot_lib.ensure_xy_omission_state(args, df)
self.assertFalse(exit_mock.called)
def test_autofill_plot_fields_and_labels_do_nothing(self):
"""autofill_plot_fields_and_labels does no filling
"""
args = MagicMock(x=None, xlabel='xpre', ylabel='ypre')
df = MagicMock(columns=[1])
plot_lib.autofill_plot_fields_and_labels(args, df)
self.assertEqual(args.xlabel, 'xpre')
self.assertEqual(args.ylabel, 'ypre')
def test_autofill_plot_fields_and_labels_2_cols(self):
"""autofill_plot_labels() appropriately handles 2 column frame
"""
args = MagicMock(x=None, xlabel=None, ylabel=None)
df = MagicMock(columns=['x', 'y'])
plot_lib.autofill_plot_fields_and_labels(args, df)
self.assertEqual(args.x, ['x'])
self.assertEqual(args.y, ['y'])
self.assertEqual(args.xlabel, ['x'])
self.assertEqual(args.ylabel, ['y'])
def test_str_to_date_float(self):
x = pd.Series([1., 2., 3.])
self.assertEqual(list(x), list(plot_lib.str_to_date(x)))
def test_str_to_date_str(self):
x = pd.Series(['1/1/2014', '1/2/2014', '1/3/2014'])
expected = [parse(e) for e in x]
self.assertEqual(expected, list(plot_lib.str_to_date(x)))
@patch('pandashells.lib.plot_lib.pl.plot')
def test_draw_traces(self, plot_mock):
args = MagicMock(savefig='', x='x', y='y')
df = pd.DataFrame([[1, 1], [2, 2]], columns=['x', 'y'])
plot_lib.draw_traces(args, df)
self.assertTrue(plot_mock.called)
def test_draw_xy_plot(self):
"""draw_xy_plot() properly produces an output html file
"""
out_file = os.path.join(self.dir_name, 'test.html')
argv = (
'p.plot -x x -y btrace ctrace -s o- --xlabel myxlabel '
'--ylabel myylabel --title mytitle --theme darkgrid '
'--context talk --palette muted -a .5 --nogrid '
'--legend best --xlim 0 10 --ylim -10 10 '
'--savefig {}'.format(out_file)
).split()
with patch('pandashells.lib.plot_lib.sys.argv', argv):
pl.clf()
df = pd.DataFrame(
{
'x': range(10),
'btrace': [-x for x in range(10)],
'ctrace': [x for x in range(10)]
})
parser = argparse.ArgumentParser()
arg_lib.add_args(
parser, 'io_in', 'xy_plotting', 'decorating', 'example')
parser.add_argument(
"-a", "--alpha", help="Set opacity", nargs=1, default=[1.],
type=float)
args = parser.parse_args()
plot_lib.draw_xy_plot(args, df)
with open(out_file) as f:
html = f.read()
self.assertTrue('myxlabel' in html)
self.assertTrue('myylabel' in html)
self.assertTrue('mytitle' in html)
self.assertTrue('btrace' in html)
self.assertTrue('ctrace' in html)
self.assertTrue('1' in html)
self.assertTrue('10' in html)
| bsd-2-clause |
astocko/statsmodels | statsmodels/tsa/statespace/tests/test_tools.py | 19 | 4268 | """
Tests for tools
Author: Chad Fulton
License: Simplified-BSD
"""
from __future__ import division, absolute_import, print_function
import numpy as np
import pandas as pd
from statsmodels.tsa.statespace import tools
# from .results import results_sarimax
from numpy.testing import (
assert_equal, assert_array_equal, assert_almost_equal, assert_raises
)
class TestCompanionMatrix(object):
cases = [
(2, np.array([[0,1],[0,0]])),
([1,-1,-2], np.array([[1,1],[2,0]])),
([1,-1,-2,-3], np.array([[1,1,0],[2,0,1],[3,0,0]]))
]
def test_cases(self):
for polynomial, result in self.cases:
assert_equal(tools.companion_matrix(polynomial), result)
class TestDiff(object):
x = np.arange(10)
cases = [
# diff = 1
([1,2,3], 1, None, 1, [1, 1]),
# diff = 2
(x, 2, None, 1, [0]*8),
# diff = 1, seasonal_diff=1, k_seasons=4
(x, 1, 1, 4, [0]*5),
(x**2, 1, 1, 4, [8]*5),
(x**3, 1, 1, 4, [60, 84, 108, 132, 156]),
# diff = 1, seasonal_diff=2, k_seasons=2
(x, 1, 2, 2, [0]*5),
(x**2, 1, 2, 2, [0]*5),
(x**3, 1, 2, 2, [24]*5),
(x**4, 1, 2, 2, [240, 336, 432, 528, 624]),
]
def test_cases(self):
# Basic cases
for series, diff, seasonal_diff, k_seasons, result in self.cases:
# Test numpy array
x = tools.diff(series, diff, seasonal_diff, k_seasons)
assert_almost_equal(x, result)
# Test as Pandas Series
series = pd.Series(series)
# Rewrite to test as n-dimensional array
series = np.c_[series, series]
result = np.c_[result, result]
# Test Numpy array
x = tools.diff(series, diff, seasonal_diff, k_seasons)
assert_almost_equal(x, result)
# Test as Pandas Dataframe
series = pd.DataFrame(series)
x = tools.diff(series, diff, seasonal_diff, k_seasons)
assert_almost_equal(x, result)
class TestIsInvertible(object):
cases = [
([1, -0.5], True),
([1, 1-1e-9], True),
([1, 1], False),
([1, 0.9,0.1], True),
(np.array([1,0.9,0.1]), True),
(pd.Series([1,0.9,0.1]), True)
]
def test_cases(self):
for polynomial, invertible in self.cases:
assert_equal(tools.is_invertible(polynomial), invertible)
class TestConstrainStationaryUnivariate(object):
cases = [
(np.array([2.]), -2./((1+2.**2)**0.5))
]
def test_cases(self):
for unconstrained, constrained in self.cases:
result = tools.constrain_stationary_univariate(unconstrained)
assert_equal(result, constrained)
class TestValidateMatrixShape(object):
# name, shape, nrows, ncols, nobs
valid = [
('TEST', (5,2), 5, 2, None),
('TEST', (5,2), 5, 2, 10),
('TEST', (5,2,10), 5, 2, 10),
]
invalid = [
('TEST', (5,), 5, None, None),
('TEST', (5,1,1,1), 5, 1, None),
('TEST', (5,2), 10, 2, None),
('TEST', (5,2), 5, 1, None),
('TEST', (5,2,10), 5, 2, None),
('TEST', (5,2,10), 5, 2, 5),
]
def test_valid_cases(self):
for args in self.valid:
# Just testing that no exception is raised
tools.validate_matrix_shape(*args)
def test_invalid_cases(self):
for args in self.invalid:
assert_raises(
ValueError, tools.validate_matrix_shape, *args
)
class TestValidateVectorShape(object):
# name, shape, nrows, ncols, nobs
valid = [
('TEST', (5,), 5, None),
('TEST', (5,), 5, 10),
('TEST', (5,10), 5, 10),
]
invalid = [
('TEST', (5,2,10), 5, 10),
('TEST', (5,), 10, None),
('TEST', (5,10), 5, None),
('TEST', (5,10), 5, 5),
]
def test_valid_cases(self):
for args in self.valid:
# Just testing that no exception is raised
tools.validate_vector_shape(*args)
def test_invalid_cases(self):
for args in self.invalid:
assert_raises(
ValueError, tools.validate_vector_shape, *args
)
| bsd-3-clause |
Parallel-in-Time/pySDC | pySDC/playgrounds/deprecated/fwsw/plot_stab_vs_m.py | 1 | 3424 | import matplotlib.pyplot as plt
import numpy as np
from matplotlib.ticker import ScalarFormatter
from pySDC.implementations.problem_classes.FastWaveSlowWave_Scalar import swfw_scalar
from pylab import rcParams
from pySDC.core import CollocationClasses as collclass
from pySDC.core import Hooks as hookclass
from pySDC.core import Level as lvl
from pySDC.core import Step as stepclass
from pySDC.implementations.datatype_classes import mesh, rhs_imex_mesh
from pySDC.implementations.sweeper_classes.imex_1st_order import imex_1st_order as imex
if __name__ == "__main__":
mvals = np.arange(2,10)
kvals = [3, 5, 7]
lambda_fast = 10j
lambda_slow = 3j
stabval = np.zeros((np.size(kvals), np.size(mvals)))
for i in range(0,np.size(mvals)):
pparams = {}
# the following are not used in the computation
pparams['lambda_s'] = np.array([0.0])
pparams['lambda_f'] = np.array([0.0])
pparams['u0'] = 1.0
swparams = {}
# swparams['collocation_class'] = collclass.CollGaussLobatto
# swparams['collocation_class'] = collclass.CollGaussLegendre
swparams['collocation_class'] = collclass.CollGaussRadau_Right
swparams['num_nodes'] = mvals[i]
do_coll_update = True
#
# ...this is functionality copied from test_imexsweeper. Ideally, it should be available in one place.
#
step = stepclass.step(params={})
L = lvl.level(problem_class=swfw_scalar, problem_params=pparams, dtype_u=mesh, dtype_f=rhs_imex_mesh, sweeper_class=imex, sweeper_params=swparams, level_params={}, hook_class=hookclass.hooks, id="stability")
step.register_level(L)
step.status.dt = 1.0 # Needs to be 1.0, change dt through lambdas
step.status.time = 0.0
u0 = step.levels[0].prob.u_exact(step.status.time)
step.init_step(u0)
nnodes = step.levels[0].sweep.coll.num_nodes
level = step.levels[0]
problem = level.prob
QE = level.sweep.QE[1:,1:]
QI = level.sweep.QI[1:,1:]
Q = level.sweep.coll.Qmat[1:,1:]
LHS, RHS = level.sweep.get_scalar_problems_sweeper_mats( lambdas = [ lambda_fast, lambda_slow ] )
for k in range(0,np.size(kvals)):
Kmax = kvals[k]
Mat_sweep = level.sweep.get_scalar_problems_manysweep_mat( nsweeps = Kmax, lambdas = [ lambda_fast, lambda_slow ] )
if do_coll_update:
stab_fh = 1.0 + (lambda_fast + lambda_slow)*level.sweep.coll.weights.dot(Mat_sweep.dot(np.ones(nnodes)))
else:
q = np.zeros(nnodes)
q[nnodes-1] = 1.0
stab_fh = q.dot(Mat_sweep.dot(np.ones(nnodes)))
stabval[k,i] = np.absolute(stab_fh)
rcParams['figure.figsize'] = 2.5, 2.5
fig = plt.figure()
fs = 8
plt.plot(mvals, stabval[0,:], 'o-', color='b', label=(r"K=%1i" % kvals[0]))
plt.plot(mvals, stabval[1,:], 's-', color='r', label=(r"K=%1i" % kvals[1]))
plt.plot(mvals, stabval[2,:], 'd-', color='g', label=(r"K=%1i" % kvals[2]))
plt.plot(mvals, 1.0+0.0*mvals, '--', color='k')
plt.xlabel('Number of nodes M', fontsize=fs)
plt.ylabel(r'Modulus of stability function $\left| R \right|$', fontsize=fs)
plt.ylim([0.0, 1.8])
plt.legend(loc='lower right', fontsize=fs, prop={'size':fs})
plt.gca().get_xaxis().get_major_formatter().labelOnlyBase = False
plt.gca().get_xaxis().set_major_formatter(ScalarFormatter())
plt.show()
# filename = 'stablimit-M'+str(mvals[0])+'.pdf'
# fig.savefig(filename, bbox_inches='tight')
# call(["pdfcrop", filename, filename])
| bsd-2-clause |
huobaowangxi/scikit-learn | examples/linear_model/plot_sgd_weighted_samples.py | 344 | 1458 | """
=====================
SGD: Weighted samples
=====================
Plot decision function of a weighted dataset, where the size of points
is proportional to its weight.
"""
print(__doc__)
import numpy as np
import matplotlib.pyplot as plt
from sklearn import linear_model
# we create 20 points
np.random.seed(0)
X = np.r_[np.random.randn(10, 2) + [1, 1], np.random.randn(10, 2)]
y = [1] * 10 + [-1] * 10
sample_weight = 100 * np.abs(np.random.randn(20))
# and assign a bigger weight to the last 10 samples
sample_weight[:10] *= 10
# plot the weighted data points
xx, yy = np.meshgrid(np.linspace(-4, 5, 500), np.linspace(-4, 5, 500))
plt.figure()
plt.scatter(X[:, 0], X[:, 1], c=y, s=sample_weight, alpha=0.9,
cmap=plt.cm.bone)
## fit the unweighted model
clf = linear_model.SGDClassifier(alpha=0.01, n_iter=100)
clf.fit(X, y)
Z = clf.decision_function(np.c_[xx.ravel(), yy.ravel()])
Z = Z.reshape(xx.shape)
no_weights = plt.contour(xx, yy, Z, levels=[0], linestyles=['solid'])
## fit the weighted model
clf = linear_model.SGDClassifier(alpha=0.01, n_iter=100)
clf.fit(X, y, sample_weight=sample_weight)
Z = clf.decision_function(np.c_[xx.ravel(), yy.ravel()])
Z = Z.reshape(xx.shape)
samples_weights = plt.contour(xx, yy, Z, levels=[0], linestyles=['dashed'])
plt.legend([no_weights.collections[0], samples_weights.collections[0]],
["no weights", "with weights"], loc="lower left")
plt.xticks(())
plt.yticks(())
plt.show()
| bsd-3-clause |
ChristianKniep/QNIB | serverfiles/usr/local/lib/networkx-1.6/examples/algorithms/blockmodel.py | 32 | 3009 | #!/usr/bin/env python
# encoding: utf-8
"""
Example of creating a block model using the blockmodel function in NX. Data used is the Hartford, CT drug users network:
@article{,
title = {Social Networks of Drug Users in {High-Risk} Sites: Finding the Connections},
volume = {6},
shorttitle = {Social Networks of Drug Users in {High-Risk} Sites},
url = {http://dx.doi.org/10.1023/A:1015457400897},
doi = {10.1023/A:1015457400897},
number = {2},
journal = {{AIDS} and Behavior},
author = {Margaret R. Weeks and Scott Clair and Stephen P. Borgatti and Kim Radda and Jean J. Schensul},
month = jun,
year = {2002},
pages = {193--206}
}
"""
__author__ = """\n""".join(['Drew Conway <[email protected]>',
'Aric Hagberg <[email protected]>'])
from collections import defaultdict
import networkx as nx
import numpy
from scipy.cluster import hierarchy
from scipy.spatial import distance
import matplotlib.pyplot as plt
def create_hc(G):
"""Creates hierarchical cluster of graph G from distance matrix"""
path_length=nx.all_pairs_shortest_path_length(G)
distances=numpy.zeros((len(G),len(G)))
for u,p in path_length.items():
for v,d in p.items():
distances[u][v]=d
# Create hierarchical cluster
Y=distance.squareform(distances)
Z=hierarchy.complete(Y) # Creates HC using farthest point linkage
# This partition selection is arbitrary, for illustrive purposes
membership=list(hierarchy.fcluster(Z,t=1.15))
# Create collection of lists for blockmodel
partition=defaultdict(list)
for n,p in zip(list(range(len(G))),membership):
partition[p].append(n)
return list(partition.values())
if __name__ == '__main__':
G=nx.read_edgelist("hartford_drug.edgelist")
# Extract largest connected component into graph H
H=nx.connected_component_subgraphs(G)[0]
# Makes life easier to have consecutively labeled integer nodes
H=nx.convert_node_labels_to_integers(H)
# Create parititions with hierarchical clustering
partitions=create_hc(H)
# Build blockmodel graph
BM=nx.blockmodel(H,partitions)
# Draw original graph
pos=nx.spring_layout(H,iterations=100)
fig=plt.figure(1,figsize=(6,10))
ax=fig.add_subplot(211)
nx.draw(H,pos,with_labels=False,node_size=10)
plt.xlim(0,1)
plt.ylim(0,1)
# Draw block model with weighted edges and nodes sized by number of internal nodes
node_size=[BM.node[x]['nnodes']*10 for x in BM.nodes()]
edge_width=[(2*d['weight']) for (u,v,d) in BM.edges(data=True)]
# Set positions to mean of positions of internal nodes from original graph
posBM={}
for n in BM:
xy=numpy.array([pos[u] for u in BM.node[n]['graph']])
posBM[n]=xy.mean(axis=0)
ax=fig.add_subplot(212)
nx.draw(BM,posBM,node_size=node_size,width=edge_width,with_labels=False)
plt.xlim(0,1)
plt.ylim(0,1)
plt.axis('off')
plt.savefig('hartford_drug_block_model.png')
| gpl-2.0 |
rrohan/scikit-learn | examples/linear_model/plot_logistic_l1_l2_sparsity.py | 384 | 2601 | """
==============================================
L1 Penalty and Sparsity in Logistic Regression
==============================================
Comparison of the sparsity (percentage of zero coefficients) of solutions when
L1 and L2 penalty are used for different values of C. We can see that large
values of C give more freedom to the model. Conversely, smaller values of C
constrain the model more. In the L1 penalty case, this leads to sparser
solutions.
We classify 8x8 images of digits into two classes: 0-4 against 5-9.
The visualization shows coefficients of the models for varying C.
"""
print(__doc__)
# Authors: Alexandre Gramfort <[email protected]>
# Mathieu Blondel <[email protected]>
# Andreas Mueller <[email protected]>
# License: BSD 3 clause
import numpy as np
import matplotlib.pyplot as plt
from sklearn.linear_model import LogisticRegression
from sklearn import datasets
from sklearn.preprocessing import StandardScaler
digits = datasets.load_digits()
X, y = digits.data, digits.target
X = StandardScaler().fit_transform(X)
# classify small against large digits
y = (y > 4).astype(np.int)
# Set regularization parameter
for i, C in enumerate((100, 1, 0.01)):
# turn down tolerance for short training time
clf_l1_LR = LogisticRegression(C=C, penalty='l1', tol=0.01)
clf_l2_LR = LogisticRegression(C=C, penalty='l2', tol=0.01)
clf_l1_LR.fit(X, y)
clf_l2_LR.fit(X, y)
coef_l1_LR = clf_l1_LR.coef_.ravel()
coef_l2_LR = clf_l2_LR.coef_.ravel()
# coef_l1_LR contains zeros due to the
# L1 sparsity inducing norm
sparsity_l1_LR = np.mean(coef_l1_LR == 0) * 100
sparsity_l2_LR = np.mean(coef_l2_LR == 0) * 100
print("C=%.2f" % C)
print("Sparsity with L1 penalty: %.2f%%" % sparsity_l1_LR)
print("score with L1 penalty: %.4f" % clf_l1_LR.score(X, y))
print("Sparsity with L2 penalty: %.2f%%" % sparsity_l2_LR)
print("score with L2 penalty: %.4f" % clf_l2_LR.score(X, y))
l1_plot = plt.subplot(3, 2, 2 * i + 1)
l2_plot = plt.subplot(3, 2, 2 * (i + 1))
if i == 0:
l1_plot.set_title("L1 penalty")
l2_plot.set_title("L2 penalty")
l1_plot.imshow(np.abs(coef_l1_LR.reshape(8, 8)), interpolation='nearest',
cmap='binary', vmax=1, vmin=0)
l2_plot.imshow(np.abs(coef_l2_LR.reshape(8, 8)), interpolation='nearest',
cmap='binary', vmax=1, vmin=0)
plt.text(-8, 3, "C = %.2f" % C)
l1_plot.set_xticks(())
l1_plot.set_yticks(())
l2_plot.set_xticks(())
l2_plot.set_yticks(())
plt.show()
| bsd-3-clause |
zrhans/pythonanywhere | .virtualenvs/django19/lib/python3.4/site-packages/matplotlib/tests/test_backend_svg.py | 7 | 3551 | from __future__ import (absolute_import, division, print_function,
unicode_literals)
from matplotlib.externals import six
import numpy as np
from io import BytesIO
import xml.parsers.expat
import matplotlib.pyplot as plt
from matplotlib.testing.decorators import cleanup
from matplotlib.testing.decorators import image_comparison
@cleanup
def test_visibility():
fig = plt.figure()
ax = fig.add_subplot(111)
x = np.linspace(0, 4 * np.pi, 50)
y = np.sin(x)
yerr = np.ones_like(y)
a, b, c = ax.errorbar(x, y, yerr=yerr, fmt='ko')
for artist in b:
artist.set_visible(False)
fd = BytesIO()
fig.savefig(fd, format='svg')
fd.seek(0)
buf = fd.read()
fd.close()
parser = xml.parsers.expat.ParserCreate()
parser.Parse(buf) # this will raise ExpatError if the svg is invalid
@image_comparison(baseline_images=['fill_black_with_alpha'], remove_text=True,
extensions=['svg'])
def test_fill_black_with_alpha():
fig = plt.figure()
ax = fig.add_subplot(1, 1, 1)
ax.scatter(x=[0, 0.1, 1], y=[0, 0, 0], c='k', alpha=0.1, s=10000)
@image_comparison(baseline_images=['noscale'], remove_text=True)
def test_noscale():
X, Y = np.meshgrid(np.arange(-5, 5, 1), np.arange(-5, 5, 1))
Z = np.sin(Y ** 2)
fig = plt.figure()
ax = fig.add_subplot(1, 1, 1)
ax.imshow(Z, cmap='gray')
plt.rcParams['svg.image_noscale'] = True
@cleanup
def test_composite_images():
#Test that figures can be saved with and without combining multiple images
#(on a single set of axes) into a single composite image.
X, Y = np.meshgrid(np.arange(-5, 5, 1), np.arange(-5, 5, 1))
Z = np.sin(Y ** 2)
fig = plt.figure()
ax = fig.add_subplot(1, 1, 1)
ax.set_xlim(0, 3)
ax.imshow(Z, extent=[0, 1, 0, 1])
ax.imshow(Z[::-1], extent=[2, 3, 0, 1])
plt.rcParams['image.composite_image'] = True
with BytesIO() as svg:
fig.savefig(svg, format="svg")
svg.seek(0)
buff = svg.read()
assert buff.count(six.b('<image ')) == 1
plt.rcParams['image.composite_image'] = False
with BytesIO() as svg:
fig.savefig(svg, format="svg")
svg.seek(0)
buff = svg.read()
assert buff.count(six.b('<image ')) == 2
@cleanup
def test_text_urls():
fig = plt.figure()
test_url = "http://test_text_urls.matplotlib.org"
fig.suptitle("test_text_urls", url=test_url)
fd = BytesIO()
fig.savefig(fd, format='svg')
fd.seek(0)
buf = fd.read().decode()
fd.close()
expected = '<a xlink:href="{0}">'.format(test_url)
assert expected in buf
@image_comparison(baseline_images=['bold_font_output'], extensions=['svg'])
def test_bold_font_output():
fig = plt.figure()
ax = fig.add_subplot(1, 1, 1)
ax.plot(np.arange(10), np.arange(10))
ax.set_xlabel('nonbold-xlabel')
ax.set_ylabel('bold-ylabel', fontweight='bold')
ax.set_title('bold-title', fontweight='bold')
@image_comparison(baseline_images=['bold_font_output_with_none_fonttype'],
extensions=['svg'])
def test_bold_font_output_with_none_fonttype():
plt.rcParams['svg.fonttype'] = 'none'
fig = plt.figure()
ax = fig.add_subplot(1, 1, 1)
ax.plot(np.arange(10), np.arange(10))
ax.set_xlabel('nonbold-xlabel')
ax.set_ylabel('bold-ylabel', fontweight='bold')
ax.set_title('bold-title', fontweight='bold')
if __name__ == '__main__':
import nose
nose.runmodule(argv=['-s', '--with-doctest'], exit=False)
| apache-2.0 |
Sklearn-HMM/scikit-learn-HMM | sklean-hmm/metrics/scorer.py | 2 | 10497 | """
The :mod:`sklearn.metrics.scorer` submodule implements a flexible
interface for model selection and evaluation using
arbitrary score functions.
A scorer object is a callable that can be passed to
:class:`sklearn.grid_search.GridSearchCV` or
:func:`sklearn.cross_validation.cross_val_score` as the ``scoring`` parameter,
to specify how a model should be evaluated.
The signature of the call is ``(estimator, X, y)`` where ``estimator``
is the model to be evaluated, ``X`` is the test data and ``y`` is the
ground truth labeling (or ``None`` in the case of unsupervised models).
"""
# Authors: Andreas Mueller <[email protected]>
# Lars Buitinck <[email protected]>
# Arnaud Joly <[email protected]>
# License: Simplified BSD
from abc import ABCMeta, abstractmethod
from warnings import warn
import numpy as np
from . import (r2_score, mean_squared_error, accuracy_score, f1_score,
roc_auc_score, average_precision_score, precision_score,
recall_score, log_loss)
from .cluster import adjusted_rand_score
from ..utils.multiclass import type_of_target
from ..externals import six
class _BaseScorer(six.with_metaclass(ABCMeta, object)):
def __init__(self, score_func, sign, kwargs):
self._kwargs = kwargs
self._score_func = score_func
self._sign = sign
@abstractmethod
def __call__(self, estimator, X, y):
pass
def __repr__(self):
kwargs_string = "".join([", %s=%s" % (str(k), str(v))
for k, v in self._kwargs.items()])
return ("make_scorer(%s%s%s%s)"
% (self._score_func.__name__,
"" if self._sign > 0 else ", greater_is_better=False",
self._factory_args(), kwargs_string))
def _factory_args(self):
"""Return non-default make_scorer arguments for repr."""
return ""
class _PredictScorer(_BaseScorer):
def __call__(self, estimator, X, y_true):
"""Evaluate predicted target values for X relative to y_true.
Parameters
----------
estimator : object
Trained estimator to use for scoring. Must have a predict_proba
method; the output of that is used to compute the score.
X : array-like or sparse matrix
Test data that will be fed to estimator.predict.
y_true : array-like
Gold standard target values for X.
Returns
-------
score : float
Score function applied to prediction of estimator on X.
"""
y_pred = estimator.predict(X)
return self._sign * self._score_func(y_true, y_pred, **self._kwargs)
class _ProbaScorer(_BaseScorer):
def __call__(self, clf, X, y):
"""Evaluate predicted probabilities for X relative to y_true.
Parameters
----------
clf : object
Trained classifier to use for scoring. Must have a predict_proba
method; the output of that is used to compute the score.
X : array-like or sparse matrix
Test data that will be fed to clf.predict_proba.
y : array-like
Gold standard target values for X. These must be class labels,
not probabilities.
Returns
-------
score : float
Score function applied to prediction of estimator on X.
"""
y_pred = clf.predict_proba(X)
return self._sign * self._score_func(y, y_pred, **self._kwargs)
def _factory_args(self):
return ", needs_proba=True"
class _ThresholdScorer(_BaseScorer):
def __call__(self, clf, X, y):
"""Evaluate decision function output for X relative to y_true.
Parameters
----------
clf : object
Trained classifier to use for scoring. Must have either a
decision_function method or a predict_proba method; the output of
that is used to compute the score.
X : array-like or sparse matrix
Test data that will be fed to clf.decision_function or
clf.predict_proba.
y : array-like
Gold standard target values for X. These must be class labels,
not decision function values.
Returns
-------
score : float
Score function applied to prediction of estimator on X.
"""
y_type = type_of_target(y)
if y_type not in ("binary", "multilabel-indicator"):
raise ValueError("{0} format is not supported".format(y_type))
try:
y_pred = clf.decision_function(X)
# For multi-output multi-class estimator
if isinstance(y_pred, list):
y_pred = np.vstack(p for p in y_pred).T
except (NotImplementedError, AttributeError):
y_pred = clf.predict_proba(X)
if y_type == "binary":
y_pred = y_pred[:, 1]
elif isinstance(y_pred, list):
y_pred = np.vstack([p[:, -1] for p in y_pred]).T
return self._sign * self._score_func(y, y_pred, **self._kwargs)
def _factory_args(self):
return ", needs_threshold=True"
def _deprecate_loss_and_score_funcs(
loss_func=None, score_func=None, scoring=None,
score_overrides_loss=False):
scorer = None
if loss_func is not None or score_func is not None:
if loss_func is not None:
warn("Passing a loss function is "
"deprecated and will be removed in 0.15. "
"Either use strings or score objects. "
"The relevant new parameter is called ''scoring''. ",
category=DeprecationWarning, stacklevel=2)
scorer = make_scorer(loss_func, greater_is_better=False)
if score_func is not None:
warn("Passing function as ``score_func`` is "
"deprecated and will be removed in 0.15. "
"Either use strings or score objects. "
"The relevant new parameter is called ''scoring''.",
category=DeprecationWarning, stacklevel=2)
if loss_func is None or score_overrides_loss:
scorer = make_scorer(score_func)
else:
scorer = get_scorer(scoring)
return scorer
def get_scorer(scoring):
if isinstance(scoring, six.string_types):
try:
scorer = SCORERS[scoring]
except KeyError:
raise ValueError('%r is not a valid scoring value. '
'Valid options are %s' % (scoring,
sorted(SCORERS.keys())))
else:
scorer = scoring
return scorer
def make_scorer(score_func, greater_is_better=True, needs_proba=False,
needs_threshold=False, **kwargs):
"""Make a scorer from a performance metric or loss function.
This factory function wraps scoring functions for use in GridSearchCV
and cross_val_score. It takes a score function, such as ``accuracy_score``,
``mean_squared_error``, ``adjusted_rand_index`` or ``average_precision``
and returns a callable that scores an estimator's output.
Parameters
----------
score_func : callable,
Score function (or loss function) with signature
``score_func(y, y_pred, **kwargs)``.
greater_is_better : boolean, default=True
Whether score_func is a score function (default), meaning high is good,
or a loss function, meaning low is good. In the latter case, the
scorer object will sign-flip the outcome of the score_func.
needs_proba : boolean, default=False
Whether score_func requires predict_proba to get probability estimates
out of a classifier.
needs_threshold : boolean, default=False
Whether score_func takes a continuous decision certainty.
This only works for binary classification using estimators that
have either a decision_function or predict_proba method.
For example ``average_precision`` or the area under the roc curve
can not be computed using discrete predictions alone.
**kwargs : additional arguments
Additional parameters to be passed to score_func.
Returns
-------
scorer : callable
Callable object that returns a scalar score; greater is better.
Examples
--------
>>> from sklearn.metrics import fbeta_score, make_scorer
>>> ftwo_scorer = make_scorer(fbeta_score, beta=2)
>>> ftwo_scorer
make_scorer(fbeta_score, beta=2)
>>> from sklearn.grid_search import GridSearchCV
>>> from sklearn.svm import LinearSVC
>>> grid = GridSearchCV(LinearSVC(), param_grid={'C': [1, 10]},
... scoring=ftwo_scorer)
"""
sign = 1 if greater_is_better else -1
if needs_proba and needs_threshold:
raise ValueError("Set either needs_proba or needs_threshold to True,"
" but not both.")
if needs_proba:
cls = _ProbaScorer
elif needs_threshold:
cls = _ThresholdScorer
else:
cls = _PredictScorer
return cls(score_func, sign, kwargs)
# Standard regression scores
r2_scorer = make_scorer(r2_score)
mean_squared_error_scorer = make_scorer(mean_squared_error,
greater_is_better=False)
# Standard Classification Scores
accuracy_scorer = make_scorer(accuracy_score)
f1_scorer = make_scorer(f1_score)
# Score functions that need decision values
roc_auc_scorer = make_scorer(roc_auc_score, greater_is_better=True,
needs_threshold=True)
average_precision_scorer = make_scorer(average_precision_score,
needs_threshold=True)
precision_scorer = make_scorer(precision_score)
recall_scorer = make_scorer(recall_score)
# Score function for probabilistic classification
log_loss_scorer = make_scorer(log_loss, greater_is_better=False,
needs_proba=True)
# Clustering scores
adjusted_rand_scorer = make_scorer(adjusted_rand_score)
SCORERS = dict(r2=r2_scorer,
mean_squared_error=mean_squared_error_scorer,
accuracy=accuracy_scorer, f1=f1_scorer, roc_auc=roc_auc_scorer,
average_precision=average_precision_scorer,
precision=precision_scorer, recall=recall_scorer,
log_loss=log_loss_scorer,
adjusted_rand_score=adjusted_rand_scorer)
| bsd-3-clause |
danialjahed/IDS-KDDcup | UnderstandingData/look at Datasets.py | 1 | 1143 | import pandas as pd
import matplotlib.pyplot as plt
import seaborn
#Load train dataset
Train_Data = pd.read_csv("../DataSets/kddcup.data_10_percent_corrected.csv",header=None)
print("train :",Train_Data.shape)
#visulize data variety
labels = Train_Data.iloc[:][41]
labels_count = labels.value_counts()
plt.bar(range(len(labels_count.index)),labels_count.values)
plt.xticks(range(len(labels_count.index)),labels_count.index,fontsize=12,rotation=90)
plt.savefig("labels_variety(for Training Dataset).png")
#checking missing values of Traindata
print(Train_Data.isnull().values.any())
# print(Train_Data.isnull().sum())
#Load test dataset
Test_Data = pd.read_csv("../DataSets/corrected.csv",header=None)
print("test :", Test_Data.shape)
#checking missing values of Testdata
print(Test_Data.isnull().values.any())
# print(Test_Data.isnull().sum())
#visulize data variety
labels = Test_Data.iloc[:][41]
labels_count = labels.value_counts()
plt.bar(range(len(labels_count.index)),labels_count.values)
plt.xticks(range(len(labels_count.index)),labels_count.index,fontsize=8,rotation=90)
plt.savefig("labels_variety(for Testing Dataset).png") | gpl-3.0 |
victorbergelin/scikit-learn | sklearn/metrics/tests/test_classification.py | 28 | 53546 | from __future__ import division, print_function
import numpy as np
from scipy import linalg
from functools import partial
from itertools import product
import warnings
from sklearn import datasets
from sklearn import svm
from sklearn.datasets import make_multilabel_classification
from sklearn.preprocessing import LabelBinarizer, MultiLabelBinarizer
from sklearn.preprocessing import label_binarize
from sklearn.utils.fixes import np_version
from sklearn.utils.validation import check_random_state
from sklearn.utils.testing import assert_raises, clean_warning_registry
from sklearn.utils.testing import assert_raise_message
from sklearn.utils.testing import assert_equal
from sklearn.utils.testing import assert_almost_equal
from sklearn.utils.testing import assert_array_equal
from sklearn.utils.testing import assert_array_almost_equal
from sklearn.utils.testing import assert_warns
from sklearn.utils.testing import assert_no_warnings
from sklearn.utils.testing import assert_warns_message
from sklearn.utils.testing import assert_not_equal
from sklearn.utils.testing import ignore_warnings
from sklearn.metrics import accuracy_score
from sklearn.metrics import average_precision_score
from sklearn.metrics import classification_report
from sklearn.metrics import cohen_kappa_score
from sklearn.metrics import confusion_matrix
from sklearn.metrics import f1_score
from sklearn.metrics import fbeta_score
from sklearn.metrics import hamming_loss
from sklearn.metrics import hinge_loss
from sklearn.metrics import jaccard_similarity_score
from sklearn.metrics import log_loss
from sklearn.metrics import matthews_corrcoef
from sklearn.metrics import precision_recall_fscore_support
from sklearn.metrics import precision_score
from sklearn.metrics import recall_score
from sklearn.metrics import zero_one_loss
from sklearn.metrics import brier_score_loss
from sklearn.metrics.classification import _check_targets
from sklearn.metrics.base import UndefinedMetricWarning
###############################################################################
# Utilities for testing
def make_prediction(dataset=None, binary=False):
"""Make some classification predictions on a toy dataset using a SVC
If binary is True restrict to a binary classification problem instead of a
multiclass classification problem
"""
if dataset is None:
# import some data to play with
dataset = datasets.load_iris()
X = dataset.data
y = dataset.target
if binary:
# restrict to a binary classification task
X, y = X[y < 2], y[y < 2]
n_samples, n_features = X.shape
p = np.arange(n_samples)
rng = check_random_state(37)
rng.shuffle(p)
X, y = X[p], y[p]
half = int(n_samples / 2)
# add noisy features to make the problem harder and avoid perfect results
rng = np.random.RandomState(0)
X = np.c_[X, rng.randn(n_samples, 200 * n_features)]
# run classifier, get class probabilities and label predictions
clf = svm.SVC(kernel='linear', probability=True, random_state=0)
probas_pred = clf.fit(X[:half], y[:half]).predict_proba(X[half:])
if binary:
# only interested in probabilities of the positive case
# XXX: do we really want a special API for the binary case?
probas_pred = probas_pred[:, 1]
y_pred = clf.predict(X[half:])
y_true = y[half:]
return y_true, y_pred, probas_pred
###############################################################################
# Tests
def test_multilabel_accuracy_score_subset_accuracy():
# Dense label indicator matrix format
y1 = np.array([[0, 1, 1], [1, 0, 1]])
y2 = np.array([[0, 0, 1], [1, 0, 1]])
assert_equal(accuracy_score(y1, y2), 0.5)
assert_equal(accuracy_score(y1, y1), 1)
assert_equal(accuracy_score(y2, y2), 1)
assert_equal(accuracy_score(y2, np.logical_not(y2)), 0)
assert_equal(accuracy_score(y1, np.logical_not(y1)), 0)
assert_equal(accuracy_score(y1, np.zeros(y1.shape)), 0)
assert_equal(accuracy_score(y2, np.zeros(y1.shape)), 0)
with ignore_warnings(): # sequence of sequences is deprecated
# List of tuple of label
y1 = [(1, 2,), (0, 2,)]
y2 = [(2,), (0, 2,)]
assert_equal(accuracy_score(y1, y2), 0.5)
assert_equal(accuracy_score(y1, y1), 1)
assert_equal(accuracy_score(y2, y2), 1)
assert_equal(accuracy_score(y2, [(), ()]), 0)
assert_equal(accuracy_score(y1, y2, normalize=False), 1)
assert_equal(accuracy_score(y1, y1, normalize=False), 2)
assert_equal(accuracy_score(y2, y2, normalize=False), 2)
assert_equal(accuracy_score(y2, [(), ()], normalize=False), 0)
def test_precision_recall_f1_score_binary():
# Test Precision Recall and F1 Score for binary classification task
y_true, y_pred, _ = make_prediction(binary=True)
# detailed measures for each class
p, r, f, s = precision_recall_fscore_support(y_true, y_pred, average=None)
assert_array_almost_equal(p, [0.73, 0.85], 2)
assert_array_almost_equal(r, [0.88, 0.68], 2)
assert_array_almost_equal(f, [0.80, 0.76], 2)
assert_array_equal(s, [25, 25])
# individual scoring function that can be used for grid search: in the
# binary class case the score is the value of the measure for the positive
# class (e.g. label == 1). This is deprecated for average != 'binary'.
assert_dep_warning = partial(assert_warns, DeprecationWarning)
for kwargs, my_assert in [({}, assert_no_warnings),
({'average': 'binary'}, assert_no_warnings),
({'average': 'micro'}, assert_dep_warning)]:
ps = my_assert(precision_score, y_true, y_pred, **kwargs)
assert_array_almost_equal(ps, 0.85, 2)
rs = my_assert(recall_score, y_true, y_pred, **kwargs)
assert_array_almost_equal(rs, 0.68, 2)
fs = my_assert(f1_score, y_true, y_pred, **kwargs)
assert_array_almost_equal(fs, 0.76, 2)
assert_almost_equal(my_assert(fbeta_score, y_true, y_pred, beta=2,
**kwargs),
(1 + 2 ** 2) * ps * rs / (2 ** 2 * ps + rs), 2)
@ignore_warnings
def test_precision_recall_f_binary_single_class():
# Test precision, recall and F1 score behave with a single positive or
# negative class
# Such a case may occur with non-stratified cross-validation
assert_equal(1., precision_score([1, 1], [1, 1]))
assert_equal(1., recall_score([1, 1], [1, 1]))
assert_equal(1., f1_score([1, 1], [1, 1]))
assert_equal(0., precision_score([-1, -1], [-1, -1]))
assert_equal(0., recall_score([-1, -1], [-1, -1]))
assert_equal(0., f1_score([-1, -1], [-1, -1]))
@ignore_warnings
def test_precision_recall_f_extra_labels():
"""Test handling of explicit additional (not in input) labels to PRF
"""
y_true = [1, 3, 3, 2]
y_pred = [1, 1, 3, 2]
y_true_bin = label_binarize(y_true, classes=np.arange(5))
y_pred_bin = label_binarize(y_pred, classes=np.arange(5))
data = [(y_true, y_pred),
(y_true_bin, y_pred_bin)]
for i, (y_true, y_pred) in enumerate(data):
# No average: zeros in array
actual = recall_score(y_true, y_pred, labels=[0, 1, 2, 3, 4],
average=None)
assert_array_almost_equal([0., 1., 1., .5, 0.], actual)
# Macro average is changed
actual = recall_score(y_true, y_pred, labels=[0, 1, 2, 3, 4],
average='macro')
assert_array_almost_equal(np.mean([0., 1., 1., .5, 0.]), actual)
# No effect otheriwse
for average in ['micro', 'weighted', 'samples']:
if average == 'samples' and i == 0:
continue
assert_almost_equal(recall_score(y_true, y_pred,
labels=[0, 1, 2, 3, 4],
average=average),
recall_score(y_true, y_pred, labels=None,
average=average))
# Error when introducing invalid label in multilabel case
# (although it would only affect performance if average='macro'/None)
for average in [None, 'macro', 'micro', 'samples']:
assert_raises(ValueError, recall_score, y_true_bin, y_pred_bin,
labels=np.arange(6), average=average)
assert_raises(ValueError, recall_score, y_true_bin, y_pred_bin,
labels=np.arange(-1, 4), average=average)
@ignore_warnings
def test_precision_recall_f_ignored_labels():
"""Test a subset of labels may be requested for PRF"""
y_true = [1, 1, 2, 3]
y_pred = [1, 3, 3, 3]
y_true_bin = label_binarize(y_true, classes=np.arange(5))
y_pred_bin = label_binarize(y_pred, classes=np.arange(5))
data = [(y_true, y_pred),
(y_true_bin, y_pred_bin)]
for i, (y_true, y_pred) in enumerate(data):
recall_13 = partial(recall_score, y_true, y_pred, labels=[1, 3])
recall_all = partial(recall_score, y_true, y_pred, labels=None)
assert_array_almost_equal([.5, 1.], recall_13(average=None))
assert_almost_equal((.5 + 1.) / 2, recall_13(average='macro'))
assert_almost_equal((.5 * 2 + 1. * 1) / 3,
recall_13(average='weighted'))
assert_almost_equal(2. / 3, recall_13(average='micro'))
# ensure the above were meaningful tests:
for average in ['macro', 'weighted', 'micro']:
assert_not_equal(recall_13(average=average),
recall_all(average=average))
def test_average_precision_score_score_non_binary_class():
# Test that average_precision_score function returns an error when trying
# to compute average_precision_score for multiclass task.
rng = check_random_state(404)
y_pred = rng.rand(10)
# y_true contains three different class values
y_true = rng.randint(0, 3, size=10)
assert_raise_message(ValueError, "multiclass format is not supported",
average_precision_score, y_true, y_pred)
def test_average_precision_score_duplicate_values():
# Duplicate values with precision-recall require a different
# processing than when computing the AUC of a ROC, because the
# precision-recall curve is a decreasing curve
# The following situtation corresponds to a perfect
# test statistic, the average_precision_score should be 1
y_true = [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1]
y_score = [0, .1, .1, .4, .5, .6, .6, .9, .9, 1, 1]
assert_equal(average_precision_score(y_true, y_score), 1)
def test_average_precision_score_tied_values():
# Here if we go from left to right in y_true, the 0 values are
# are separated from the 1 values, so it appears that we've
# Correctly sorted our classifications. But in fact the first two
# values have the same score (0.5) and so the first two values
# could be swapped around, creating an imperfect sorting. This
# imperfection should come through in the end score, making it less
# than one.
y_true = [0, 1, 1]
y_score = [.5, .5, .6]
assert_not_equal(average_precision_score(y_true, y_score), 1.)
@ignore_warnings
def test_precision_recall_fscore_support_errors():
y_true, y_pred, _ = make_prediction(binary=True)
# Bad beta
assert_raises(ValueError, precision_recall_fscore_support,
y_true, y_pred, beta=0.0)
# Bad pos_label
assert_raises(ValueError, precision_recall_fscore_support,
y_true, y_pred, pos_label=2, average='macro')
# Bad average option
assert_raises(ValueError, precision_recall_fscore_support,
[0, 1, 2], [1, 2, 0], average='mega')
def test_confusion_matrix_binary():
# Test confusion matrix - binary classification case
y_true, y_pred, _ = make_prediction(binary=True)
def test(y_true, y_pred):
cm = confusion_matrix(y_true, y_pred)
assert_array_equal(cm, [[22, 3], [8, 17]])
tp, fp, fn, tn = cm.flatten()
num = (tp * tn - fp * fn)
den = np.sqrt((tp + fp) * (tp + fn) * (tn + fp) * (tn + fn))
true_mcc = 0 if den == 0 else num / den
mcc = matthews_corrcoef(y_true, y_pred)
assert_array_almost_equal(mcc, true_mcc, decimal=2)
assert_array_almost_equal(mcc, 0.57, decimal=2)
test(y_true, y_pred)
test([str(y) for y in y_true],
[str(y) for y in y_pred])
def test_cohen_kappa():
# These label vectors reproduce the contingency matrix from Artstein and
# Poesio (2008), Table 1: np.array([[20, 20], [10, 50]]).
y1 = np.array([0] * 40 + [1] * 60)
y2 = np.array([0] * 20 + [1] * 20 + [0] * 10 + [1] * 50)
kappa = cohen_kappa_score(y1, y2)
assert_almost_equal(kappa, .348, decimal=3)
assert_equal(kappa, cohen_kappa_score(y2, y1))
# Add spurious labels and ignore them.
y1 = np.append(y1, [2] * 4)
y2 = np.append(y2, [2] * 4)
assert_equal(cohen_kappa_score(y1, y2, labels=[0, 1]), kappa)
assert_almost_equal(cohen_kappa_score(y1, y1), 1.)
# Multiclass example: Artstein and Poesio, Table 4.
y1 = np.array([0] * 46 + [1] * 44 + [2] * 10)
y2 = np.array([0] * 52 + [1] * 32 + [2] * 16)
assert_almost_equal(cohen_kappa_score(y1, y2), .8013, decimal=4)
@ignore_warnings
def test_matthews_corrcoef_nan():
assert_equal(matthews_corrcoef([0], [1]), 0.0)
assert_equal(matthews_corrcoef([0, 0], [0, 1]), 0.0)
def test_precision_recall_f1_score_multiclass():
# Test Precision Recall and F1 Score for multiclass classification task
y_true, y_pred, _ = make_prediction(binary=False)
# compute scores with default labels introspection
p, r, f, s = precision_recall_fscore_support(y_true, y_pred, average=None)
assert_array_almost_equal(p, [0.83, 0.33, 0.42], 2)
assert_array_almost_equal(r, [0.79, 0.09, 0.90], 2)
assert_array_almost_equal(f, [0.81, 0.15, 0.57], 2)
assert_array_equal(s, [24, 31, 20])
# averaging tests
ps = precision_score(y_true, y_pred, pos_label=1, average='micro')
assert_array_almost_equal(ps, 0.53, 2)
rs = recall_score(y_true, y_pred, average='micro')
assert_array_almost_equal(rs, 0.53, 2)
fs = f1_score(y_true, y_pred, average='micro')
assert_array_almost_equal(fs, 0.53, 2)
ps = precision_score(y_true, y_pred, average='macro')
assert_array_almost_equal(ps, 0.53, 2)
rs = recall_score(y_true, y_pred, average='macro')
assert_array_almost_equal(rs, 0.60, 2)
fs = f1_score(y_true, y_pred, average='macro')
assert_array_almost_equal(fs, 0.51, 2)
ps = precision_score(y_true, y_pred, average='weighted')
assert_array_almost_equal(ps, 0.51, 2)
rs = recall_score(y_true, y_pred, average='weighted')
assert_array_almost_equal(rs, 0.53, 2)
fs = f1_score(y_true, y_pred, average='weighted')
assert_array_almost_equal(fs, 0.47, 2)
assert_raises(ValueError, precision_score, y_true, y_pred,
average="samples")
assert_raises(ValueError, recall_score, y_true, y_pred, average="samples")
assert_raises(ValueError, f1_score, y_true, y_pred, average="samples")
assert_raises(ValueError, fbeta_score, y_true, y_pred, average="samples",
beta=0.5)
# same prediction but with and explicit label ordering
p, r, f, s = precision_recall_fscore_support(
y_true, y_pred, labels=[0, 2, 1], average=None)
assert_array_almost_equal(p, [0.83, 0.41, 0.33], 2)
assert_array_almost_equal(r, [0.79, 0.90, 0.10], 2)
assert_array_almost_equal(f, [0.81, 0.57, 0.15], 2)
assert_array_equal(s, [24, 20, 31])
def test_precision_refcall_f1_score_multilabel_unordered_labels():
# test that labels need not be sorted in the multilabel case
y_true = np.array([[1, 1, 0, 0]])
y_pred = np.array([[0, 0, 1, 1]])
for average in ['samples', 'micro', 'macro', 'weighted', None]:
p, r, f, s = precision_recall_fscore_support(
y_true, y_pred, labels=[3, 0, 1, 2], warn_for=[], average=average)
assert_array_equal(p, 0)
assert_array_equal(r, 0)
assert_array_equal(f, 0)
if average is None:
assert_array_equal(s, [0, 1, 1, 0])
def test_precision_recall_f1_score_multiclass_pos_label_none():
# Test Precision Recall and F1 Score for multiclass classification task
# GH Issue #1296
# initialize data
y_true = np.array([0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1])
y_pred = np.array([1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1])
# compute scores with default labels introspection
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
pos_label=None,
average='weighted')
def test_zero_precision_recall():
# Check that pathological cases do not bring NaNs
old_error_settings = np.seterr(all='raise')
try:
y_true = np.array([0, 1, 2, 0, 1, 2])
y_pred = np.array([2, 0, 1, 1, 2, 0])
assert_almost_equal(precision_score(y_true, y_pred,
average='weighted'), 0.0, 2)
assert_almost_equal(recall_score(y_true, y_pred, average='weighted'),
0.0, 2)
assert_almost_equal(f1_score(y_true, y_pred, average='weighted'),
0.0, 2)
finally:
np.seterr(**old_error_settings)
def test_confusion_matrix_multiclass():
# Test confusion matrix - multi-class case
y_true, y_pred, _ = make_prediction(binary=False)
def test(y_true, y_pred, string_type=False):
# compute confusion matrix with default labels introspection
cm = confusion_matrix(y_true, y_pred)
assert_array_equal(cm, [[19, 4, 1],
[4, 3, 24],
[0, 2, 18]])
# compute confusion matrix with explicit label ordering
labels = ['0', '2', '1'] if string_type else [0, 2, 1]
cm = confusion_matrix(y_true,
y_pred,
labels=labels)
assert_array_equal(cm, [[19, 1, 4],
[0, 18, 2],
[4, 24, 3]])
test(y_true, y_pred)
test(list(str(y) for y in y_true),
list(str(y) for y in y_pred),
string_type=True)
def test_confusion_matrix_multiclass_subset_labels():
# Test confusion matrix - multi-class case with subset of labels
y_true, y_pred, _ = make_prediction(binary=False)
# compute confusion matrix with only first two labels considered
cm = confusion_matrix(y_true, y_pred, labels=[0, 1])
assert_array_equal(cm, [[19, 4],
[4, 3]])
# compute confusion matrix with explicit label ordering for only subset
# of labels
cm = confusion_matrix(y_true, y_pred, labels=[2, 1])
assert_array_equal(cm, [[18, 2],
[24, 3]])
def test_classification_report_multiclass():
# Test performance report
iris = datasets.load_iris()
y_true, y_pred, _ = make_prediction(dataset=iris, binary=False)
# print classification report with class names
expected_report = """\
precision recall f1-score support
setosa 0.83 0.79 0.81 24
versicolor 0.33 0.10 0.15 31
virginica 0.42 0.90 0.57 20
avg / total 0.51 0.53 0.47 75
"""
report = classification_report(
y_true, y_pred, labels=np.arange(len(iris.target_names)),
target_names=iris.target_names)
assert_equal(report, expected_report)
# print classification report with label detection
expected_report = """\
precision recall f1-score support
0 0.83 0.79 0.81 24
1 0.33 0.10 0.15 31
2 0.42 0.90 0.57 20
avg / total 0.51 0.53 0.47 75
"""
report = classification_report(y_true, y_pred)
assert_equal(report, expected_report)
def test_classification_report_multiclass_with_digits():
# Test performance report with added digits in floating point values
iris = datasets.load_iris()
y_true, y_pred, _ = make_prediction(dataset=iris, binary=False)
# print classification report with class names
expected_report = """\
precision recall f1-score support
setosa 0.82609 0.79167 0.80851 24
versicolor 0.33333 0.09677 0.15000 31
virginica 0.41860 0.90000 0.57143 20
avg / total 0.51375 0.53333 0.47310 75
"""
report = classification_report(
y_true, y_pred, labels=np.arange(len(iris.target_names)),
target_names=iris.target_names, digits=5)
assert_equal(report, expected_report)
# print classification report with label detection
expected_report = """\
precision recall f1-score support
0 0.83 0.79 0.81 24
1 0.33 0.10 0.15 31
2 0.42 0.90 0.57 20
avg / total 0.51 0.53 0.47 75
"""
report = classification_report(y_true, y_pred)
assert_equal(report, expected_report)
def test_classification_report_multiclass_with_string_label():
y_true, y_pred, _ = make_prediction(binary=False)
y_true = np.array(["blue", "green", "red"])[y_true]
y_pred = np.array(["blue", "green", "red"])[y_pred]
expected_report = """\
precision recall f1-score support
blue 0.83 0.79 0.81 24
green 0.33 0.10 0.15 31
red 0.42 0.90 0.57 20
avg / total 0.51 0.53 0.47 75
"""
report = classification_report(y_true, y_pred)
assert_equal(report, expected_report)
expected_report = """\
precision recall f1-score support
a 0.83 0.79 0.81 24
b 0.33 0.10 0.15 31
c 0.42 0.90 0.57 20
avg / total 0.51 0.53 0.47 75
"""
report = classification_report(y_true, y_pred,
target_names=["a", "b", "c"])
assert_equal(report, expected_report)
def test_classification_report_multiclass_with_unicode_label():
y_true, y_pred, _ = make_prediction(binary=False)
labels = np.array([u"blue\xa2", u"green\xa2", u"red\xa2"])
y_true = labels[y_true]
y_pred = labels[y_pred]
expected_report = u"""\
precision recall f1-score support
blue\xa2 0.83 0.79 0.81 24
green\xa2 0.33 0.10 0.15 31
red\xa2 0.42 0.90 0.57 20
avg / total 0.51 0.53 0.47 75
"""
if np_version[:3] < (1, 7, 0):
expected_message = ("NumPy < 1.7.0 does not implement"
" searchsorted on unicode data correctly.")
assert_raise_message(RuntimeError, expected_message,
classification_report, y_true, y_pred)
else:
report = classification_report(y_true, y_pred)
assert_equal(report, expected_report)
@ignore_warnings # sequence of sequences is deprecated
def test_multilabel_classification_report():
n_classes = 4
n_samples = 50
make_ml = make_multilabel_classification
_, y_true_ll = make_ml(n_features=1, n_classes=n_classes, random_state=0,
n_samples=n_samples)
_, y_pred_ll = make_ml(n_features=1, n_classes=n_classes, random_state=1,
n_samples=n_samples)
expected_report = """\
precision recall f1-score support
0 0.50 0.67 0.57 24
1 0.51 0.74 0.61 27
2 0.29 0.08 0.12 26
3 0.52 0.56 0.54 27
avg / total 0.45 0.51 0.46 104
"""
lb = MultiLabelBinarizer()
lb.fit([range(4)])
y_true_bi = lb.transform(y_true_ll)
y_pred_bi = lb.transform(y_pred_ll)
for y_true, y_pred in [(y_true_ll, y_pred_ll), (y_true_bi, y_pred_bi)]:
report = classification_report(y_true, y_pred)
assert_equal(report, expected_report)
def test_multilabel_zero_one_loss_subset():
# Dense label indicator matrix format
y1 = np.array([[0, 1, 1], [1, 0, 1]])
y2 = np.array([[0, 0, 1], [1, 0, 1]])
assert_equal(zero_one_loss(y1, y2), 0.5)
assert_equal(zero_one_loss(y1, y1), 0)
assert_equal(zero_one_loss(y2, y2), 0)
assert_equal(zero_one_loss(y2, np.logical_not(y2)), 1)
assert_equal(zero_one_loss(y1, np.logical_not(y1)), 1)
assert_equal(zero_one_loss(y1, np.zeros(y1.shape)), 1)
assert_equal(zero_one_loss(y2, np.zeros(y1.shape)), 1)
with ignore_warnings(): # sequence of sequences is deprecated
# List of tuple of label
y1 = [(1, 2,), (0, 2,)]
y2 = [(2,), (0, 2,)]
assert_equal(zero_one_loss(y1, y2), 0.5)
assert_equal(zero_one_loss(y1, y1), 0)
assert_equal(zero_one_loss(y2, y2), 0)
assert_equal(zero_one_loss(y2, [(), ()]), 1)
assert_equal(zero_one_loss(y2, [tuple(), (10, )]), 1)
def test_multilabel_hamming_loss():
# Dense label indicator matrix format
y1 = np.array([[0, 1, 1], [1, 0, 1]])
y2 = np.array([[0, 0, 1], [1, 0, 1]])
assert_equal(hamming_loss(y1, y2), 1 / 6)
assert_equal(hamming_loss(y1, y1), 0)
assert_equal(hamming_loss(y2, y2), 0)
assert_equal(hamming_loss(y2, np.logical_not(y2)), 1)
assert_equal(hamming_loss(y1, np.logical_not(y1)), 1)
assert_equal(hamming_loss(y1, np.zeros(y1.shape)), 4 / 6)
assert_equal(hamming_loss(y2, np.zeros(y1.shape)), 0.5)
with ignore_warnings(): # sequence of sequences is deprecated
# List of tuple of label
y1 = [(1, 2,), (0, 2,)]
y2 = [(2,), (0, 2,)]
assert_equal(hamming_loss(y1, y2), 1 / 6)
assert_equal(hamming_loss(y1, y1), 0)
assert_equal(hamming_loss(y2, y2), 0)
assert_equal(hamming_loss(y2, [(), ()]), 0.75)
assert_equal(hamming_loss(y1, [tuple(), (10, )]), 0.625)
assert_almost_equal(hamming_loss(y2, [tuple(), (10, )],
classes=np.arange(11)), 0.1818, 2)
def test_multilabel_jaccard_similarity_score():
# Dense label indicator matrix format
y1 = np.array([[0, 1, 1], [1, 0, 1]])
y2 = np.array([[0, 0, 1], [1, 0, 1]])
# size(y1 \inter y2) = [1, 2]
# size(y1 \union y2) = [2, 2]
assert_equal(jaccard_similarity_score(y1, y2), 0.75)
assert_equal(jaccard_similarity_score(y1, y1), 1)
assert_equal(jaccard_similarity_score(y2, y2), 1)
assert_equal(jaccard_similarity_score(y2, np.logical_not(y2)), 0)
assert_equal(jaccard_similarity_score(y1, np.logical_not(y1)), 0)
assert_equal(jaccard_similarity_score(y1, np.zeros(y1.shape)), 0)
assert_equal(jaccard_similarity_score(y2, np.zeros(y1.shape)), 0)
with ignore_warnings(): # sequence of sequences is deprecated
# List of tuple of label
y1 = [(1, 2,), (0, 2,)]
y2 = [(2,), (0, 2,)]
assert_equal(jaccard_similarity_score(y1, y2), 0.75)
assert_equal(jaccard_similarity_score(y1, y1), 1)
assert_equal(jaccard_similarity_score(y2, y2), 1)
assert_equal(jaccard_similarity_score(y2, [(), ()]), 0)
# |y3 inter y4 | = [0, 1, 1]
# |y3 union y4 | = [2, 1, 3]
y3 = [(0,), (1,), (3,)]
y4 = [(4,), (4,), (5, 6)]
assert_almost_equal(jaccard_similarity_score(y3, y4), 0)
# |y5 inter y6 | = [0, 1, 1]
# |y5 union y6 | = [2, 1, 3]
y5 = [(0,), (1,), (2, 3)]
y6 = [(1,), (1,), (2, 0)]
assert_almost_equal(jaccard_similarity_score(y5, y6), (1 + 1 / 3) / 3)
@ignore_warnings
def test_precision_recall_f1_score_multilabel_1():
# Test precision_recall_f1_score on a crafted multilabel example
# First crafted example
y_true_ll = [(0,), (1,), (2, 3)]
y_pred_ll = [(1,), (1,), (2, 0)]
lb = LabelBinarizer()
lb.fit([range(4)])
y_true_bi = lb.transform(y_true_ll)
y_pred_bi = lb.transform(y_pred_ll)
for y_true, y_pred in [(y_true_ll, y_pred_ll), (y_true_bi, y_pred_bi)]:
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average=None)
#tp = [0, 1, 1, 0]
#fn = [1, 0, 0, 1]
#fp = [1, 1, 0, 0]
# Check per class
assert_array_almost_equal(p, [0.0, 0.5, 1.0, 0.0], 2)
assert_array_almost_equal(r, [0.0, 1.0, 1.0, 0.0], 2)
assert_array_almost_equal(f, [0.0, 1 / 1.5, 1, 0.0], 2)
assert_array_almost_equal(s, [1, 1, 1, 1], 2)
f2 = fbeta_score(y_true, y_pred, beta=2, average=None)
support = s
assert_array_almost_equal(f2, [0, 0.83, 1, 0], 2)
# Check macro
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average="macro")
assert_almost_equal(p, 1.5 / 4)
assert_almost_equal(r, 0.5)
assert_almost_equal(f, 2.5 / 1.5 * 0.25)
assert_equal(s, None)
assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
average="macro"),
np.mean(f2))
# Check micro
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average="micro")
assert_almost_equal(p, 0.5)
assert_almost_equal(r, 0.5)
assert_almost_equal(f, 0.5)
assert_equal(s, None)
assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
average="micro"),
(1 + 4) * p * r / (4 * p + r))
# Check weigted
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average="weighted")
assert_almost_equal(p, 1.5 / 4)
assert_almost_equal(r, 0.5)
assert_almost_equal(f, 2.5 / 1.5 * 0.25)
assert_equal(s, None)
assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
average="weighted"),
np.average(f2, weights=support))
# Check weigted
# |h(x_i) inter y_i | = [0, 1, 1]
# |y_i| = [1, 1, 2]
# |h(x_i)| = [1, 1, 2]
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average="samples")
assert_almost_equal(p, 0.5)
assert_almost_equal(r, 0.5)
assert_almost_equal(f, 0.5)
assert_equal(s, None)
assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
average="samples"),
0.5)
@ignore_warnings
def test_precision_recall_f1_score_multilabel_2():
# Test precision_recall_f1_score on a crafted multilabel example 2
# Second crafted example
y_true_ll = [(1,), (2,), (2, 3)]
y_pred_ll = [(4,), (4,), (2, 1)]
lb = LabelBinarizer()
lb.fit([range(1, 5)])
y_true_bi = lb.transform(y_true_ll)
y_pred_bi = lb.transform(y_pred_ll)
for y_true, y_pred in [(y_true_ll, y_pred_ll), (y_true_bi, y_pred_bi)]:
# tp = [ 0. 1. 0. 0.]
# fp = [ 1. 0. 0. 2.]
# fn = [ 1. 1. 1. 0.]
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average=None)
assert_array_almost_equal(p, [0.0, 1.0, 0.0, 0.0], 2)
assert_array_almost_equal(r, [0.0, 0.5, 0.0, 0.0], 2)
assert_array_almost_equal(f, [0.0, 0.66, 0.0, 0.0], 2)
assert_array_almost_equal(s, [1, 2, 1, 0], 2)
f2 = fbeta_score(y_true, y_pred, beta=2, average=None)
support = s
assert_array_almost_equal(f2, [0, 0.55, 0, 0], 2)
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average="micro")
assert_almost_equal(p, 0.25)
assert_almost_equal(r, 0.25)
assert_almost_equal(f, 2 * 0.25 * 0.25 / 0.5)
assert_equal(s, None)
assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
average="micro"),
(1 + 4) * p * r / (4 * p + r))
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average="macro")
assert_almost_equal(p, 0.25)
assert_almost_equal(r, 0.125)
assert_almost_equal(f, 2 / 12)
assert_equal(s, None)
assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
average="macro"),
np.mean(f2))
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average="weighted")
assert_almost_equal(p, 2 / 4)
assert_almost_equal(r, 1 / 4)
assert_almost_equal(f, 2 / 3 * 2 / 4)
assert_equal(s, None)
assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
average="weighted"),
np.average(f2, weights=support))
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average="samples")
# Check weigted
# |h(x_i) inter y_i | = [0, 0, 1]
# |y_i| = [1, 1, 2]
# |h(x_i)| = [1, 1, 2]
assert_almost_equal(p, 1 / 6)
assert_almost_equal(r, 1 / 6)
assert_almost_equal(f, 2 / 4 * 1 / 3)
assert_equal(s, None)
assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
average="samples"),
0.1666, 2)
@ignore_warnings
def test_precision_recall_f1_score_with_an_empty_prediction():
y_true_ll = [(1,), (0,), (2, 1,)]
y_pred_ll = [tuple(), (3,), (2, 1)]
lb = LabelBinarizer()
lb.fit([range(4)])
y_true_bi = lb.transform(y_true_ll)
y_pred_bi = lb.transform(y_pred_ll)
for y_true, y_pred in [(y_true_ll, y_pred_ll), (y_true_bi, y_pred_bi)]:
# true_pos = [ 0. 1. 1. 0.]
# false_pos = [ 0. 0. 0. 1.]
# false_neg = [ 1. 1. 0. 0.]
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average=None)
assert_array_almost_equal(p, [0.0, 1.0, 1.0, 0.0], 2)
assert_array_almost_equal(r, [0.0, 0.5, 1.0, 0.0], 2)
assert_array_almost_equal(f, [0.0, 1 / 1.5, 1, 0.0], 2)
assert_array_almost_equal(s, [1, 2, 1, 0], 2)
f2 = fbeta_score(y_true, y_pred, beta=2, average=None)
support = s
assert_array_almost_equal(f2, [0, 0.55, 1, 0], 2)
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average="macro")
assert_almost_equal(p, 0.5)
assert_almost_equal(r, 1.5 / 4)
assert_almost_equal(f, 2.5 / (4 * 1.5))
assert_equal(s, None)
assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
average="macro"),
np.mean(f2))
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average="micro")
assert_almost_equal(p, 2 / 3)
assert_almost_equal(r, 0.5)
assert_almost_equal(f, 2 / 3 / (2 / 3 + 0.5))
assert_equal(s, None)
assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
average="micro"),
(1 + 4) * p * r / (4 * p + r))
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average="weighted")
assert_almost_equal(p, 3 / 4)
assert_almost_equal(r, 0.5)
assert_almost_equal(f, (2 / 1.5 + 1) / 4)
assert_equal(s, None)
assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
average="weighted"),
np.average(f2, weights=support))
p, r, f, s = precision_recall_fscore_support(y_true, y_pred,
average="samples")
# |h(x_i) inter y_i | = [0, 0, 2]
# |y_i| = [1, 1, 2]
# |h(x_i)| = [0, 1, 2]
assert_almost_equal(p, 1 / 3)
assert_almost_equal(r, 1 / 3)
assert_almost_equal(f, 1 / 3)
assert_equal(s, None)
assert_almost_equal(fbeta_score(y_true, y_pred, beta=2,
average="samples"),
0.333, 2)
def test_precision_recall_f1_no_labels():
y_true = np.zeros((20, 3))
y_pred = np.zeros_like(y_true)
# tp = [0, 0, 0]
# fn = [0, 0, 0]
# fp = [0, 0, 0]
# support = [0, 0, 0]
# |y_hat_i inter y_i | = [0, 0, 0]
# |y_i| = [0, 0, 0]
# |y_hat_i| = [0, 0, 0]
for beta in [1]:
p, r, f, s = assert_warns(UndefinedMetricWarning,
precision_recall_fscore_support,
y_true, y_pred, average=None, beta=beta)
assert_array_almost_equal(p, [0, 0, 0], 2)
assert_array_almost_equal(r, [0, 0, 0], 2)
assert_array_almost_equal(f, [0, 0, 0], 2)
assert_array_almost_equal(s, [0, 0, 0], 2)
fbeta = assert_warns(UndefinedMetricWarning, fbeta_score,
y_true, y_pred, beta=beta, average=None)
assert_array_almost_equal(fbeta, [0, 0, 0], 2)
for average in ["macro", "micro", "weighted", "samples"]:
p, r, f, s = assert_warns(UndefinedMetricWarning,
precision_recall_fscore_support,
y_true, y_pred, average=average,
beta=beta)
assert_almost_equal(p, 0)
assert_almost_equal(r, 0)
assert_almost_equal(f, 0)
assert_equal(s, None)
fbeta = assert_warns(UndefinedMetricWarning, fbeta_score,
y_true, y_pred,
beta=beta, average=average)
assert_almost_equal(fbeta, 0)
def test_prf_warnings():
# average of per-label scores
f, w = precision_recall_fscore_support, UndefinedMetricWarning
my_assert = assert_warns_message
for average in [None, 'weighted', 'macro']:
msg = ('Precision and F-score are ill-defined and '
'being set to 0.0 in labels with no predicted samples.')
my_assert(w, msg, f, [0, 1, 2], [1, 1, 2], average=average)
msg = ('Recall and F-score are ill-defined and '
'being set to 0.0 in labels with no true samples.')
my_assert(w, msg, f, [1, 1, 2], [0, 1, 2], average=average)
# average of per-sample scores
msg = ('Precision and F-score are ill-defined and '
'being set to 0.0 in samples with no predicted labels.')
my_assert(w, msg, f, np.array([[1, 0], [1, 0]]),
np.array([[1, 0], [0, 0]]), average='samples')
msg = ('Recall and F-score are ill-defined and '
'being set to 0.0 in samples with no true labels.')
my_assert(w, msg, f, np.array([[1, 0], [0, 0]]),
np.array([[1, 0], [1, 0]]),
average='samples')
# single score: micro-average
msg = ('Precision and F-score are ill-defined and '
'being set to 0.0 due to no predicted samples.')
my_assert(w, msg, f, np.array([[1, 1], [1, 1]]),
np.array([[0, 0], [0, 0]]), average='micro')
msg = ('Recall and F-score are ill-defined and '
'being set to 0.0 due to no true samples.')
my_assert(w, msg, f, np.array([[0, 0], [0, 0]]),
np.array([[1, 1], [1, 1]]), average='micro')
# single postive label
msg = ('Precision and F-score are ill-defined and '
'being set to 0.0 due to no predicted samples.')
my_assert(w, msg, f, [1, 1], [-1, -1], average='macro')
msg = ('Recall and F-score are ill-defined and '
'being set to 0.0 due to no true samples.')
my_assert(w, msg, f, [-1, -1], [1, 1], average='macro')
def test_recall_warnings():
assert_no_warnings(recall_score,
np.array([[1, 1], [1, 1]]),
np.array([[0, 0], [0, 0]]),
average='micro')
clean_warning_registry()
with warnings.catch_warnings(record=True) as record:
warnings.simplefilter('always')
recall_score(np.array([[0, 0], [0, 0]]),
np.array([[1, 1], [1, 1]]),
average='micro')
assert_equal(str(record.pop().message),
'Recall is ill-defined and '
'being set to 0.0 due to no true samples.')
def test_precision_warnings():
clean_warning_registry()
with warnings.catch_warnings(record=True) as record:
warnings.simplefilter('always')
precision_score(np.array([[1, 1], [1, 1]]),
np.array([[0, 0], [0, 0]]),
average='micro')
assert_equal(str(record.pop().message),
'Precision is ill-defined and '
'being set to 0.0 due to no predicted samples.')
assert_no_warnings(precision_score,
np.array([[0, 0], [0, 0]]),
np.array([[1, 1], [1, 1]]),
average='micro')
def test_fscore_warnings():
clean_warning_registry()
with warnings.catch_warnings(record=True) as record:
warnings.simplefilter('always')
for score in [f1_score, partial(fbeta_score, beta=2)]:
score(np.array([[1, 1], [1, 1]]),
np.array([[0, 0], [0, 0]]),
average='micro')
assert_equal(str(record.pop().message),
'F-score is ill-defined and '
'being set to 0.0 due to no predicted samples.')
score(np.array([[0, 0], [0, 0]]),
np.array([[1, 1], [1, 1]]),
average='micro')
assert_equal(str(record.pop().message),
'F-score is ill-defined and '
'being set to 0.0 due to no true samples.')
def test_prf_average_compat():
# Ensure warning if f1_score et al.'s average is implicit for multiclass
y_true = [1, 2, 3, 3]
y_pred = [1, 2, 3, 1]
y_true_bin = [0, 1, 1]
y_pred_bin = [0, 1, 0]
for metric in [precision_score, recall_score, f1_score,
partial(fbeta_score, beta=2)]:
score = assert_warns(DeprecationWarning, metric, y_true, y_pred)
score_weighted = assert_no_warnings(metric, y_true, y_pred,
average='weighted')
assert_equal(score, score_weighted,
'average does not act like "weighted" by default')
# check binary passes without warning
assert_no_warnings(metric, y_true_bin, y_pred_bin)
# but binary with pos_label=None should behave like multiclass
score = assert_warns(DeprecationWarning, metric,
y_true_bin, y_pred_bin, pos_label=None)
score_weighted = assert_no_warnings(metric, y_true_bin, y_pred_bin,
pos_label=None, average='weighted')
assert_equal(score, score_weighted,
'average does not act like "weighted" by default with '
'binary data and pos_label=None')
@ignore_warnings # sequence of sequences is deprecated
def test__check_targets():
# Check that _check_targets correctly merges target types, squeezes
# output and fails if input lengths differ.
IND = 'multilabel-indicator'
SEQ = 'multilabel-sequences'
MC = 'multiclass'
BIN = 'binary'
CNT = 'continuous'
MMC = 'multiclass-multioutput'
MCN = 'continuous-multioutput'
# all of length 3
EXAMPLES = [
(IND, np.array([[0, 1, 1], [1, 0, 0], [0, 0, 1]])),
# must not be considered binary
(IND, np.array([[0, 1], [1, 0], [1, 1]])),
(SEQ, [[2, 3], [1], [3]]),
(MC, [2, 3, 1]),
(BIN, [0, 1, 1]),
(CNT, [0., 1.5, 1.]),
(MC, np.array([[2], [3], [1]])),
(BIN, np.array([[0], [1], [1]])),
(CNT, np.array([[0.], [1.5], [1.]])),
(MMC, np.array([[0, 2], [1, 3], [2, 3]])),
(MCN, np.array([[0.5, 2.], [1.1, 3.], [2., 3.]])),
]
# expected type given input types, or None for error
# (types will be tried in either order)
EXPECTED = {
(IND, IND): IND,
(SEQ, SEQ): IND,
(MC, MC): MC,
(BIN, BIN): BIN,
(IND, SEQ): None,
(MC, SEQ): None,
(BIN, SEQ): None,
(MC, IND): None,
(BIN, IND): None,
(BIN, MC): MC,
# Disallowed types
(CNT, CNT): None,
(MMC, MMC): None,
(MCN, MCN): None,
(IND, CNT): None,
(SEQ, CNT): None,
(MC, CNT): None,
(BIN, CNT): None,
(MMC, CNT): None,
(MCN, CNT): None,
(IND, MMC): None,
(SEQ, MMC): None,
(MC, MMC): None,
(BIN, MMC): None,
(MCN, MMC): None,
(IND, MCN): None,
(SEQ, MCN): None,
(MC, MCN): None,
(BIN, MCN): None,
}
for (type1, y1), (type2, y2) in product(EXAMPLES, repeat=2):
try:
expected = EXPECTED[type1, type2]
except KeyError:
expected = EXPECTED[type2, type1]
if expected is None:
assert_raises(ValueError, _check_targets, y1, y2)
if type1 != type2:
assert_raise_message(
ValueError,
"Can't handle mix of {0} and {1}".format(type1, type2),
_check_targets, y1, y2)
else:
if type1 not in (BIN, MC, SEQ, IND):
assert_raise_message(ValueError,
"{0} is not supported".format(type1),
_check_targets, y1, y2)
else:
merged_type, y1out, y2out = _check_targets(y1, y2)
assert_equal(merged_type, expected)
if merged_type.startswith('multilabel'):
assert_equal(y1out.format, 'csr')
assert_equal(y2out.format, 'csr')
else:
assert_array_equal(y1out, np.squeeze(y1))
assert_array_equal(y2out, np.squeeze(y2))
assert_raises(ValueError, _check_targets, y1[:-1], y2)
def test_hinge_loss_binary():
y_true = np.array([-1, 1, 1, -1])
pred_decision = np.array([-8.5, 0.5, 1.5, -0.3])
assert_equal(hinge_loss(y_true, pred_decision), 1.2 / 4)
y_true = np.array([0, 2, 2, 0])
pred_decision = np.array([-8.5, 0.5, 1.5, -0.3])
assert_equal(hinge_loss(y_true, pred_decision), 1.2 / 4)
def test_hinge_loss_multiclass():
pred_decision = np.array([
[0.36, -0.17, -0.58, -0.99],
[-0.54, -0.37, -0.48, -0.58],
[-1.45, -0.58, -0.38, -0.17],
[-0.54, -0.38, -0.48, -0.58],
[-2.36, -0.79, -0.27, 0.24],
[-1.45, -0.58, -0.38, -0.17]
])
y_true = np.array([0, 1, 2, 1, 3, 2])
dummy_losses = np.array([
1 - pred_decision[0][0] + pred_decision[0][1],
1 - pred_decision[1][1] + pred_decision[1][2],
1 - pred_decision[2][2] + pred_decision[2][3],
1 - pred_decision[3][1] + pred_decision[3][2],
1 - pred_decision[4][3] + pred_decision[4][2],
1 - pred_decision[5][2] + pred_decision[5][3]
])
dummy_losses[dummy_losses <= 0] = 0
dummy_hinge_loss = np.mean(dummy_losses)
assert_equal(hinge_loss(y_true, pred_decision),
dummy_hinge_loss)
def test_hinge_loss_multiclass_missing_labels_with_labels_none():
y_true = np.array([0, 1, 2, 2])
pred_decision = np.array([
[1.27, 0.034, -0.68, -1.40],
[-1.45, -0.58, -0.38, -0.17],
[-2.36, -0.79, -0.27, 0.24],
[-2.36, -0.79, -0.27, 0.24]
])
error_message = ("Please include all labels in y_true "
"or pass labels as third argument")
assert_raise_message(ValueError,
error_message,
hinge_loss, y_true, pred_decision)
def test_hinge_loss_multiclass_with_missing_labels():
pred_decision = np.array([
[0.36, -0.17, -0.58, -0.99],
[-0.55, -0.38, -0.48, -0.58],
[-1.45, -0.58, -0.38, -0.17],
[-0.55, -0.38, -0.48, -0.58],
[-1.45, -0.58, -0.38, -0.17]
])
y_true = np.array([0, 1, 2, 1, 2])
labels = np.array([0, 1, 2, 3])
dummy_losses = np.array([
1 - pred_decision[0][0] + pred_decision[0][1],
1 - pred_decision[1][1] + pred_decision[1][2],
1 - pred_decision[2][2] + pred_decision[2][3],
1 - pred_decision[3][1] + pred_decision[3][2],
1 - pred_decision[4][2] + pred_decision[4][3]
])
dummy_losses[dummy_losses <= 0] = 0
dummy_hinge_loss = np.mean(dummy_losses)
assert_equal(hinge_loss(y_true, pred_decision, labels=labels),
dummy_hinge_loss)
def test_hinge_loss_multiclass_invariance_lists():
# Currently, invariance of string and integer labels cannot be tested
# in common invariance tests because invariance tests for multiclass
# decision functions is not implemented yet.
y_true = ['blue', 'green', 'red',
'green', 'white', 'red']
pred_decision = [
[0.36, -0.17, -0.58, -0.99],
[-0.55, -0.38, -0.48, -0.58],
[-1.45, -0.58, -0.38, -0.17],
[-0.55, -0.38, -0.48, -0.58],
[-2.36, -0.79, -0.27, 0.24],
[-1.45, -0.58, -0.38, -0.17]]
dummy_losses = np.array([
1 - pred_decision[0][0] + pred_decision[0][1],
1 - pred_decision[1][1] + pred_decision[1][2],
1 - pred_decision[2][2] + pred_decision[2][3],
1 - pred_decision[3][1] + pred_decision[3][2],
1 - pred_decision[4][3] + pred_decision[4][2],
1 - pred_decision[5][2] + pred_decision[5][3]
])
dummy_losses[dummy_losses <= 0] = 0
dummy_hinge_loss = np.mean(dummy_losses)
assert_equal(hinge_loss(y_true, pred_decision),
dummy_hinge_loss)
def test_log_loss():
# binary case with symbolic labels ("no" < "yes")
y_true = ["no", "no", "no", "yes", "yes", "yes"]
y_pred = np.array([[0.5, 0.5], [0.1, 0.9], [0.01, 0.99],
[0.9, 0.1], [0.75, 0.25], [0.001, 0.999]])
loss = log_loss(y_true, y_pred)
assert_almost_equal(loss, 1.8817971)
# multiclass case; adapted from http://bit.ly/RJJHWA
y_true = [1, 0, 2]
y_pred = [[0.2, 0.7, 0.1], [0.6, 0.2, 0.2], [0.6, 0.1, 0.3]]
loss = log_loss(y_true, y_pred, normalize=True)
assert_almost_equal(loss, 0.6904911)
# check that we got all the shapes and axes right
# by doubling the length of y_true and y_pred
y_true *= 2
y_pred *= 2
loss = log_loss(y_true, y_pred, normalize=False)
assert_almost_equal(loss, 0.6904911 * 6, decimal=6)
# check eps and handling of absolute zero and one probabilities
y_pred = np.asarray(y_pred) > .5
loss = log_loss(y_true, y_pred, normalize=True, eps=.1)
assert_almost_equal(loss, log_loss(y_true, np.clip(y_pred, .1, .9)))
# raise error if number of classes are not equal.
y_true = [1, 0, 2]
y_pred = [[0.2, 0.7], [0.6, 0.5], [0.4, 0.1]]
assert_raises(ValueError, log_loss, y_true, y_pred)
# case when y_true is a string array object
y_true = ["ham", "spam", "spam", "ham"]
y_pred = [[0.2, 0.7], [0.6, 0.5], [0.4, 0.1], [0.7, 0.2]]
loss = log_loss(y_true, y_pred)
assert_almost_equal(loss, 1.0383217, decimal=6)
def test_brier_score_loss():
# Check brier_score_loss function
y_true = np.array([0, 1, 1, 0, 1, 1])
y_pred = np.array([0.1, 0.8, 0.9, 0.3, 1., 0.95])
true_score = linalg.norm(y_true - y_pred) ** 2 / len(y_true)
assert_almost_equal(brier_score_loss(y_true, y_true), 0.0)
assert_almost_equal(brier_score_loss(y_true, y_pred), true_score)
assert_almost_equal(brier_score_loss(1. + y_true, y_pred),
true_score)
assert_almost_equal(brier_score_loss(2 * y_true - 1, y_pred),
true_score)
assert_raises(ValueError, brier_score_loss, y_true, y_pred[1:])
assert_raises(ValueError, brier_score_loss, y_true, y_pred + 1.)
assert_raises(ValueError, brier_score_loss, y_true, y_pred - 1.)
| bsd-3-clause |
lmzintgraf/MultiMAuS | experiments/result_handling.py | 1 | 4477 | from os.path import isdir, join, dirname, exists
from os import mkdir
import pickle
import numpy as np
import datetime
from simulator import parameters
import pandas as pd
FOLDER_RESULTS = join(dirname(__file__), 'results')
FILE_RESULTS_IDX = join(FOLDER_RESULTS, 'curr_idx.txt')
def get_result_idx():
for line in open(FILE_RESULTS_IDX):
if line.strip(): # line contains eol character(s)
return int(line)
def update_result_idx(old_result_idx):
# increase result counter by one
f = open(FILE_RESULTS_IDX, 'w+')
f.write(str(old_result_idx + 1))
f.close()
def get_params_path(result_idx):
return join(FOLDER_RESULTS, '{}_parameters.pkl'.format(result_idx))
def get_transaction_log_path(result_idx):
return join(FOLDER_RESULTS, '{}_transaction_log.csv'.format(result_idx))
def get_satisfaction_log_path(result_idx):
return join(FOLDER_RESULTS, '{}_satisfaction_log.csv'.format(result_idx))
def save_results(model):
# create a folder to save results in
if not isdir(FOLDER_RESULTS):
mkdir(FOLDER_RESULTS)
if not exists(FILE_RESULTS_IDX):
f = open(FILE_RESULTS_IDX, 'w+')
f.write(str(0))
f.close()
result_idx = get_result_idx()
# retrieve parameters for current experiment
parameters = model.parameters
# add the name of the authenticator to the parameters
parameters['authenticator'] = model.authenticator.__class__.__name__
# save the parameters
pickle.dump(parameters, open(get_params_path(result_idx), 'wb'), pickle.HIGHEST_PROTOCOL)
# save the transaction logs
agent_vars = model.log_collector.get_agent_vars_dataframe()
agent_vars.index = agent_vars.index.droplevel(1)
path_transaction_log = get_transaction_log_path(result_idx)
agent_vars.to_csv(path_transaction_log, index_label=False)
# save the satisfaction per timestep
model_vars = model.log_collector.get_model_vars_dataframe()
path_satisfaction_log = get_satisfaction_log_path(result_idx)
model_vars.to_csv(path_satisfaction_log, index_label=False)
# save some customer properties
FOLDER_CUST_PROPS = join(FOLDER_RESULTS, '{}_cust_props'.format(result_idx))
mkdir(FOLDER_CUST_PROPS)
for i in range(5):
# for customers
np.save(join(FOLDER_CUST_PROPS, 'cust{}_trans_prob_monthday'.format(i)), model.customers[i].trans_prob_monthday)
np.save(join(FOLDER_CUST_PROPS, 'cust{}_trans_prob_month'.format(i)), model.customers[i].trans_prob_month)
np.save(join(FOLDER_CUST_PROPS, 'cust{}_trans_prob_hour'.format(i)), model.customers[i].trans_prob_hour)
np.save(join(FOLDER_CUST_PROPS, 'cust{}_trans_prob_weekday'.format(i)), model.customers[i].trans_prob_weekday)
# for fraudsters
np.save(join(FOLDER_CUST_PROPS, 'fraud{}_trans_prob_monthday'.format(i)), model.fraudsters[i].trans_prob_monthday)
np.save(join(FOLDER_CUST_PROPS, 'fraud{}_trans_prob_month'.format(i)), model.fraudsters[i].trans_prob_month)
np.save(join(FOLDER_CUST_PROPS, 'fraud{}_trans_prob_hour'.format(i)), model.fraudsters[i].trans_prob_hour)
np.save(join(FOLDER_CUST_PROPS, 'fraud{}_trans_prob_weekday'.format(i)), model.fraudsters[i].trans_prob_weekday)
print("saved results under result index {}".format(result_idx))
update_result_idx(result_idx)
def get_parameters(result_idx):
return pickle.load(open(get_params_path(result_idx), 'rb'))
def check_parameter_consistency(params1):
params2 = parameters.get_default_parameters()
# make sure we didn't accidentally change the input parameters
for key in params1.keys():
try:
if isinstance(params1[key], np.ndarray):
assert np.sum(params1[key] - params2[key]) == 0
elif isinstance(params1[key], float) or isinstance(params1[key], int):
assert params1[key] - params2[key] == 0
elif isinstance(params1[key], datetime.date):
pass
elif isinstance(params1[key], pd.DataFrame):
assert np.sum(params1[key].values - params2[key].values) == 0
elif isinstance(params1[key], list):
for i in range(len(params1[key])):
assert np.sum(params1[key][i].values - params2[key][i].values) == 0
else:
print("unknown type", key, type(params1[key]))
except AssertionError:
print("!! params changed:", key)
| mit |
Kongsea/tensorflow | tensorflow/contrib/learn/python/learn/estimators/estimator_test.py | 9 | 53510 | # Copyright 2016 The TensorFlow Authors. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
# ==============================================================================
"""Tests for Estimator."""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import functools
import itertools
import json
import os
import tempfile
import numpy as np
import six
from six.moves import xrange # pylint: disable=redefined-builtin
from google.protobuf import text_format
from tensorflow.contrib import learn
from tensorflow.contrib import lookup
from tensorflow.python.training import training_util
from tensorflow.contrib.layers.python.layers import feature_column as feature_column_lib
from tensorflow.contrib.layers.python.layers import optimizers
from tensorflow.contrib.learn.python.learn import experiment
from tensorflow.contrib.learn.python.learn import models
from tensorflow.contrib.learn.python.learn import monitors as monitors_lib
from tensorflow.contrib.learn.python.learn.datasets import base
from tensorflow.contrib.learn.python.learn.estimators import _sklearn
from tensorflow.contrib.learn.python.learn.estimators import constants
from tensorflow.contrib.learn.python.learn.estimators import estimator
from tensorflow.contrib.learn.python.learn.estimators import linear
from tensorflow.contrib.learn.python.learn.estimators import model_fn
from tensorflow.contrib.learn.python.learn.estimators import run_config
from tensorflow.contrib.learn.python.learn.utils import input_fn_utils
from tensorflow.contrib.metrics.python.ops import metric_ops
from tensorflow.contrib.testing.python.framework import util_test
from tensorflow.python.client import session as session_lib
from tensorflow.python.framework import constant_op
from tensorflow.python.framework import dtypes
from tensorflow.python.framework import ops
from tensorflow.python.lib.io import file_io
from tensorflow.python.ops import array_ops
from tensorflow.python.ops import check_ops
from tensorflow.python.ops import control_flow_ops
from tensorflow.python.ops import math_ops
from tensorflow.python.ops import parsing_ops
from tensorflow.python.ops import variables as variables_lib
from tensorflow.python.platform import gfile
from tensorflow.python.platform import test
from tensorflow.python.saved_model import loader
from tensorflow.python.saved_model import tag_constants
from tensorflow.python.summary import summary
from tensorflow.python.training import basic_session_run_hooks
from tensorflow.python.training import checkpoint_state_pb2
from tensorflow.python.training import input as input_lib
from tensorflow.python.training import monitored_session
from tensorflow.python.training import saver as saver_lib
from tensorflow.python.training import session_run_hook
from tensorflow.python.util import compat
_BOSTON_INPUT_DIM = 13
_IRIS_INPUT_DIM = 4
def boston_input_fn(num_epochs=None):
boston = base.load_boston()
features = input_lib.limit_epochs(
array_ops.reshape(
constant_op.constant(boston.data), [-1, _BOSTON_INPUT_DIM]),
num_epochs=num_epochs)
labels = array_ops.reshape(constant_op.constant(boston.target), [-1, 1])
return features, labels
def iris_input_fn():
iris = base.load_iris()
features = array_ops.reshape(
constant_op.constant(iris.data), [-1, _IRIS_INPUT_DIM])
labels = array_ops.reshape(constant_op.constant(iris.target), [-1])
return features, labels
def iris_input_fn_labels_dict():
iris = base.load_iris()
features = array_ops.reshape(
constant_op.constant(iris.data), [-1, _IRIS_INPUT_DIM])
labels = {
'labels': array_ops.reshape(constant_op.constant(iris.target), [-1])
}
return features, labels
def boston_eval_fn():
boston = base.load_boston()
n_examples = len(boston.target)
features = array_ops.reshape(
constant_op.constant(boston.data), [n_examples, _BOSTON_INPUT_DIM])
labels = array_ops.reshape(
constant_op.constant(boston.target), [n_examples, 1])
return array_ops.concat([features, features], 0), array_ops.concat(
[labels, labels], 0)
def extract(data, key):
if isinstance(data, dict):
assert key in data
return data[key]
else:
return data
def linear_model_params_fn(features, labels, mode, params):
features = extract(features, 'input')
labels = extract(labels, 'labels')
assert mode in (model_fn.ModeKeys.TRAIN, model_fn.ModeKeys.EVAL,
model_fn.ModeKeys.INFER)
prediction, loss = (models.linear_regression_zero_init(features, labels))
train_op = optimizers.optimize_loss(
loss,
training_util.get_global_step(),
optimizer='Adagrad',
learning_rate=params['learning_rate'])
return prediction, loss, train_op
def linear_model_fn(features, labels, mode):
features = extract(features, 'input')
labels = extract(labels, 'labels')
assert mode in (model_fn.ModeKeys.TRAIN, model_fn.ModeKeys.EVAL,
model_fn.ModeKeys.INFER)
if isinstance(features, dict):
(_, features), = features.items()
prediction, loss = (models.linear_regression_zero_init(features, labels))
train_op = optimizers.optimize_loss(
loss, training_util.get_global_step(), optimizer='Adagrad', learning_rate=0.1)
return prediction, loss, train_op
def linear_model_fn_with_model_fn_ops(features, labels, mode):
"""Same as linear_model_fn, but returns `ModelFnOps`."""
assert mode in (model_fn.ModeKeys.TRAIN, model_fn.ModeKeys.EVAL,
model_fn.ModeKeys.INFER)
prediction, loss = (models.linear_regression_zero_init(features, labels))
train_op = optimizers.optimize_loss(
loss, training_util.get_global_step(), optimizer='Adagrad', learning_rate=0.1)
return model_fn.ModelFnOps(
mode=mode, predictions=prediction, loss=loss, train_op=train_op)
def logistic_model_no_mode_fn(features, labels):
features = extract(features, 'input')
labels = extract(labels, 'labels')
labels = array_ops.one_hot(labels, 3, 1, 0)
prediction, loss = (models.logistic_regression_zero_init(features, labels))
train_op = optimizers.optimize_loss(
loss, training_util.get_global_step(), optimizer='Adagrad', learning_rate=0.1)
return {
'class': math_ops.argmax(prediction, 1),
'prob': prediction
}, loss, train_op
VOCAB_FILE_CONTENT = 'emerson\nlake\npalmer\n'
EXTRA_FILE_CONTENT = 'kermit\npiggy\nralph\n'
def _build_estimator_for_export_tests(tmpdir):
def _input_fn():
iris = base.load_iris()
return {
'feature': constant_op.constant(
iris.data, dtype=dtypes.float32)
}, constant_op.constant(
iris.target, shape=[150], dtype=dtypes.int32)
feature_columns = [
feature_column_lib.real_valued_column(
'feature', dimension=4)
]
est = linear.LinearRegressor(feature_columns)
est.fit(input_fn=_input_fn, steps=20)
feature_spec = feature_column_lib.create_feature_spec_for_parsing(
feature_columns)
serving_input_fn = input_fn_utils.build_parsing_serving_input_fn(feature_spec)
# hack in an op that uses an asset, in order to test asset export.
# this is not actually valid, of course.
def serving_input_fn_with_asset():
features, labels, inputs = serving_input_fn()
vocab_file_name = os.path.join(tmpdir, 'my_vocab_file')
vocab_file = gfile.GFile(vocab_file_name, mode='w')
vocab_file.write(VOCAB_FILE_CONTENT)
vocab_file.close()
hashtable = lookup.HashTable(
lookup.TextFileStringTableInitializer(vocab_file_name), 'x')
features['bogus_lookup'] = hashtable.lookup(
math_ops.to_int64(features['feature']))
return input_fn_utils.InputFnOps(features, labels, inputs)
return est, serving_input_fn_with_asset
def _build_estimator_for_resource_export_test():
def _input_fn():
iris = base.load_iris()
return {
'feature': constant_op.constant(iris.data, dtype=dtypes.float32)
}, constant_op.constant(
iris.target, shape=[150], dtype=dtypes.int32)
feature_columns = [
feature_column_lib.real_valued_column('feature', dimension=4)
]
def resource_constant_model_fn(unused_features, unused_labels, mode):
"""A model_fn that loads a constant from a resource and serves it."""
assert mode in (model_fn.ModeKeys.TRAIN, model_fn.ModeKeys.EVAL,
model_fn.ModeKeys.INFER)
const = constant_op.constant(-1, dtype=dtypes.int64)
table = lookup.MutableHashTable(
dtypes.string, dtypes.int64, const, name='LookupTableModel')
update_global_step = training_util.get_global_step().assign_add(1)
if mode in (model_fn.ModeKeys.TRAIN, model_fn.ModeKeys.EVAL):
key = constant_op.constant(['key'])
value = constant_op.constant([42], dtype=dtypes.int64)
train_op_1 = table.insert(key, value)
training_state = lookup.MutableHashTable(
dtypes.string, dtypes.int64, const, name='LookupTableTrainingState')
training_op_2 = training_state.insert(key, value)
return (const, const,
control_flow_ops.group(train_op_1, training_op_2,
update_global_step))
if mode == model_fn.ModeKeys.INFER:
key = constant_op.constant(['key'])
prediction = table.lookup(key)
return prediction, const, update_global_step
est = estimator.Estimator(model_fn=resource_constant_model_fn)
est.fit(input_fn=_input_fn, steps=1)
feature_spec = feature_column_lib.create_feature_spec_for_parsing(
feature_columns)
serving_input_fn = input_fn_utils.build_parsing_serving_input_fn(feature_spec)
return est, serving_input_fn
class CheckCallsMonitor(monitors_lib.BaseMonitor):
def __init__(self, expect_calls):
super(CheckCallsMonitor, self).__init__()
self.begin_calls = None
self.end_calls = None
self.expect_calls = expect_calls
def begin(self, max_steps):
self.begin_calls = 0
self.end_calls = 0
def step_begin(self, step):
self.begin_calls += 1
return {}
def step_end(self, step, outputs):
self.end_calls += 1
return False
def end(self):
assert (self.end_calls == self.expect_calls and
self.begin_calls == self.expect_calls)
def _model_fn_ops(
expected_features, expected_labels, actual_features, actual_labels, mode):
assert_ops = tuple([
check_ops.assert_equal(
expected_features[k], actual_features[k], name='assert_%s' % k)
for k in expected_features
] + [
check_ops.assert_equal(
expected_labels, actual_labels, name='assert_labels')
])
with ops.control_dependencies(assert_ops):
return model_fn.ModelFnOps(
mode=mode,
predictions=constant_op.constant(0.),
loss=constant_op.constant(0.),
train_op=training_util.get_global_step().assign_add(1))
def _make_input_fn(features, labels):
def _input_fn():
return {
k: constant_op.constant(v)
for k, v in six.iteritems(features)
}, constant_op.constant(labels)
return _input_fn
class EstimatorModelFnTest(test.TestCase):
def testModelFnArgs(self):
features = {'x': 42., 'y': 43.}
labels = 44.
expected_params = {'some_param': 'some_value'}
expected_config = run_config.RunConfig()
expected_config.i_am_test = True
# TODO(ptucker): We have to roll our own mock since Estimator._get_arguments
# doesn't work with mock fns.
model_fn_call_count = [0]
# `features` and `labels` are passed by position, `arg0` and `arg1` here.
def _model_fn(arg0, arg1, mode, params, config):
model_fn_call_count[0] += 1
self.assertItemsEqual(features.keys(), arg0.keys())
self.assertEqual(model_fn.ModeKeys.TRAIN, mode)
self.assertEqual(expected_params, params)
self.assertTrue(config.i_am_test)
return _model_fn_ops(features, labels, arg0, arg1, mode)
est = estimator.Estimator(
model_fn=_model_fn, params=expected_params, config=expected_config)
self.assertEqual(0, model_fn_call_count[0])
est.fit(input_fn=_make_input_fn(features, labels), steps=1)
self.assertEqual(1, model_fn_call_count[0])
def testPartialModelFnArgs(self):
features = {'x': 42., 'y': 43.}
labels = 44.
expected_params = {'some_param': 'some_value'}
expected_config = run_config.RunConfig()
expected_config.i_am_test = True
expected_foo = 45.
expected_bar = 46.
# TODO(ptucker): We have to roll our own mock since Estimator._get_arguments
# doesn't work with mock fns.
model_fn_call_count = [0]
# `features` and `labels` are passed by position, `arg0` and `arg1` here.
def _model_fn(arg0, arg1, foo, mode, params, config, bar):
model_fn_call_count[0] += 1
self.assertEqual(expected_foo, foo)
self.assertEqual(expected_bar, bar)
self.assertItemsEqual(features.keys(), arg0.keys())
self.assertEqual(model_fn.ModeKeys.TRAIN, mode)
self.assertEqual(expected_params, params)
self.assertTrue(config.i_am_test)
return _model_fn_ops(features, labels, arg0, arg1, mode)
partial_model_fn = functools.partial(
_model_fn, foo=expected_foo, bar=expected_bar)
est = estimator.Estimator(
model_fn=partial_model_fn, params=expected_params,
config=expected_config)
self.assertEqual(0, model_fn_call_count[0])
est.fit(input_fn=_make_input_fn(features, labels), steps=1)
self.assertEqual(1, model_fn_call_count[0])
def testModelFnWithModelDir(self):
expected_param = {'some_param': 'some_value'}
expected_model_dir = tempfile.mkdtemp()
def _argument_checker(features, labels, mode, params, config=None,
model_dir=None):
_, _, _ = features, labels, config
self.assertEqual(model_fn.ModeKeys.TRAIN, mode)
self.assertEqual(expected_param, params)
self.assertEqual(model_dir, expected_model_dir)
return (constant_op.constant(0.), constant_op.constant(0.),
training_util.get_global_step().assign_add(1))
est = estimator.Estimator(model_fn=_argument_checker,
params=expected_param,
model_dir=expected_model_dir)
est.fit(input_fn=boston_input_fn, steps=1)
def testInvalidModelFn_no_train_op(self):
def _invalid_model_fn(features, labels):
# pylint: disable=unused-argument
w = variables_lib.Variable(42.0, 'weight')
update_global_step = training_util.get_global_step().assign_add(1)
with ops.control_dependencies([update_global_step]):
loss = 100.0 - w
return None, loss, None
est = estimator.Estimator(model_fn=_invalid_model_fn)
with self.assertRaisesRegexp(ValueError, 'Missing train_op'):
est.fit(input_fn=boston_input_fn, steps=1)
def testInvalidModelFn_no_loss(self):
def _invalid_model_fn(features, labels, mode):
# pylint: disable=unused-argument
w = variables_lib.Variable(42.0, 'weight')
loss = 100.0 - w
update_global_step = training_util.get_global_step().assign_add(1)
with ops.control_dependencies([update_global_step]):
train_op = w.assign_add(loss / 100.0)
predictions = loss
if mode == model_fn.ModeKeys.EVAL:
loss = None
return predictions, loss, train_op
est = estimator.Estimator(model_fn=_invalid_model_fn)
est.fit(input_fn=boston_input_fn, steps=1)
with self.assertRaisesRegexp(ValueError, 'Missing loss'):
est.evaluate(input_fn=boston_eval_fn, steps=1)
def testInvalidModelFn_no_prediction(self):
def _invalid_model_fn(features, labels):
# pylint: disable=unused-argument
w = variables_lib.Variable(42.0, 'weight')
loss = 100.0 - w
update_global_step = training_util.get_global_step().assign_add(1)
with ops.control_dependencies([update_global_step]):
train_op = w.assign_add(loss / 100.0)
return None, loss, train_op
est = estimator.Estimator(model_fn=_invalid_model_fn)
est.fit(input_fn=boston_input_fn, steps=1)
with self.assertRaisesRegexp(ValueError, 'Missing prediction'):
est.evaluate(input_fn=boston_eval_fn, steps=1)
with self.assertRaisesRegexp(ValueError, 'Missing prediction'):
est.predict(input_fn=boston_input_fn)
with self.assertRaisesRegexp(ValueError, 'Missing prediction'):
est.predict(
input_fn=functools.partial(
boston_input_fn, num_epochs=1),
as_iterable=True)
def testModelFnScaffoldInTraining(self):
self.is_init_fn_called = False
def _init_fn(scaffold, session):
_, _ = scaffold, session
self.is_init_fn_called = True
def _model_fn_scaffold(features, labels, mode):
_, _ = features, labels
return model_fn.ModelFnOps(
mode=mode,
predictions=constant_op.constant(0.),
loss=constant_op.constant(0.),
train_op=training_util.get_global_step().assign_add(1),
scaffold=monitored_session.Scaffold(init_fn=_init_fn))
est = estimator.Estimator(model_fn=_model_fn_scaffold)
est.fit(input_fn=boston_input_fn, steps=1)
self.assertTrue(self.is_init_fn_called)
def testModelFnScaffoldSaverUsage(self):
def _model_fn_scaffold(features, labels, mode):
_, _ = features, labels
variables_lib.Variable(1., 'weight')
real_saver = saver_lib.Saver()
self.mock_saver = test.mock.Mock(
wraps=real_saver, saver_def=real_saver.saver_def)
return model_fn.ModelFnOps(
mode=mode,
predictions=constant_op.constant([[1.]]),
loss=constant_op.constant(0.),
train_op=training_util.get_global_step().assign_add(1),
scaffold=monitored_session.Scaffold(saver=self.mock_saver))
def input_fn():
return {
'x': constant_op.constant([[1.]]),
}, constant_op.constant([[1.]])
est = estimator.Estimator(model_fn=_model_fn_scaffold)
est.fit(input_fn=input_fn, steps=1)
self.assertTrue(self.mock_saver.save.called)
est.evaluate(input_fn=input_fn, steps=1)
self.assertTrue(self.mock_saver.restore.called)
est.predict(input_fn=input_fn)
self.assertTrue(self.mock_saver.restore.called)
def serving_input_fn():
serialized_tf_example = array_ops.placeholder(dtype=dtypes.string,
shape=[None],
name='input_example_tensor')
features, labels = input_fn()
return input_fn_utils.InputFnOps(
features, labels, {'examples': serialized_tf_example})
est.export_savedmodel(os.path.join(est.model_dir, 'export'), serving_input_fn)
self.assertTrue(self.mock_saver.restore.called)
class EstimatorTest(test.TestCase):
def testExperimentIntegration(self):
exp = experiment.Experiment(
estimator=estimator.Estimator(model_fn=linear_model_fn),
train_input_fn=boston_input_fn,
eval_input_fn=boston_input_fn)
exp.test()
def testCheckpointSaverHookSuppressesTheDefaultOne(self):
saver_hook = test.mock.Mock(
spec=basic_session_run_hooks.CheckpointSaverHook)
saver_hook.before_run.return_value = None
est = estimator.Estimator(model_fn=linear_model_fn)
est.fit(input_fn=boston_input_fn, steps=1, monitors=[saver_hook])
# test nothing is saved, due to suppressing default saver
with self.assertRaises(learn.NotFittedError):
est.evaluate(input_fn=boston_input_fn, steps=1)
def testCustomConfig(self):
test_random_seed = 5783452
class TestInput(object):
def __init__(self):
self.random_seed = 0
def config_test_input_fn(self):
self.random_seed = ops.get_default_graph().seed
return constant_op.constant([[1.]]), constant_op.constant([1.])
config = run_config.RunConfig(tf_random_seed=test_random_seed)
test_input = TestInput()
est = estimator.Estimator(model_fn=linear_model_fn, config=config)
est.fit(input_fn=test_input.config_test_input_fn, steps=1)
# If input_fn ran, it will have given us the random seed set on the graph.
self.assertEquals(test_random_seed, test_input.random_seed)
def testRunConfigModelDir(self):
config = run_config.RunConfig(model_dir='test_dir')
est = estimator.Estimator(model_fn=linear_model_fn,
config=config)
self.assertEqual('test_dir', est.config.model_dir)
self.assertEqual('test_dir', est.model_dir)
def testModelDirAndRunConfigModelDir(self):
config = run_config.RunConfig(model_dir='test_dir')
est = estimator.Estimator(model_fn=linear_model_fn,
config=config,
model_dir='test_dir')
self.assertEqual('test_dir', est.config.model_dir)
with self.assertRaisesRegexp(
ValueError,
'model_dir are set both in constructor and RunConfig, '
'but with different'):
estimator.Estimator(model_fn=linear_model_fn,
config=config,
model_dir='different_dir')
def testModelDirIsCopiedToRunConfig(self):
config = run_config.RunConfig()
self.assertIsNone(config.model_dir)
est = estimator.Estimator(model_fn=linear_model_fn,
model_dir='test_dir',
config=config)
self.assertEqual('test_dir', est.config.model_dir)
self.assertEqual('test_dir', est.model_dir)
def testModelDirAsTempDir(self):
with test.mock.patch.object(tempfile, 'mkdtemp', return_value='temp_dir'):
est = estimator.Estimator(model_fn=linear_model_fn)
self.assertEqual('temp_dir', est.config.model_dir)
self.assertEqual('temp_dir', est.model_dir)
def testCheckInputs(self):
est = estimator.SKCompat(estimator.Estimator(model_fn=linear_model_fn))
# Lambdas so we have to different objects to compare
right_features = lambda: np.ones(shape=[7, 8], dtype=np.float32)
right_labels = lambda: np.ones(shape=[7, 10], dtype=np.int32)
est.fit(right_features(), right_labels(), steps=1)
# TODO(wicke): This does not fail for np.int32 because of data_feeder magic.
wrong_type_features = np.ones(shape=[7, 8], dtype=np.int64)
wrong_size_features = np.ones(shape=[7, 10])
wrong_type_labels = np.ones(shape=[7, 10], dtype=np.float32)
wrong_size_labels = np.ones(shape=[7, 11])
est.fit(x=right_features(), y=right_labels(), steps=1)
with self.assertRaises(ValueError):
est.fit(x=wrong_type_features, y=right_labels(), steps=1)
with self.assertRaises(ValueError):
est.fit(x=wrong_size_features, y=right_labels(), steps=1)
with self.assertRaises(ValueError):
est.fit(x=right_features(), y=wrong_type_labels, steps=1)
with self.assertRaises(ValueError):
est.fit(x=right_features(), y=wrong_size_labels, steps=1)
def testBadInput(self):
est = estimator.Estimator(model_fn=linear_model_fn)
self.assertRaisesRegexp(
ValueError,
'Either x or input_fn must be provided.',
est.fit,
x=None,
input_fn=None,
steps=1)
self.assertRaisesRegexp(
ValueError,
'Can not provide both input_fn and x or y',
est.fit,
x='X',
input_fn=iris_input_fn,
steps=1)
self.assertRaisesRegexp(
ValueError,
'Can not provide both input_fn and x or y',
est.fit,
y='Y',
input_fn=iris_input_fn,
steps=1)
self.assertRaisesRegexp(
ValueError,
'Can not provide both input_fn and batch_size',
est.fit,
input_fn=iris_input_fn,
batch_size=100,
steps=1)
self.assertRaisesRegexp(
ValueError,
'Inputs cannot be tensors. Please provide input_fn.',
est.fit,
x=constant_op.constant(1.),
steps=1)
def testUntrained(self):
boston = base.load_boston()
est = estimator.SKCompat(estimator.Estimator(model_fn=linear_model_fn))
with self.assertRaises(learn.NotFittedError):
_ = est.score(x=boston.data, y=boston.target.astype(np.float64))
with self.assertRaises(learn.NotFittedError):
est.predict(x=boston.data)
def testContinueTraining(self):
boston = base.load_boston()
output_dir = tempfile.mkdtemp()
est = estimator.SKCompat(
estimator.Estimator(
model_fn=linear_model_fn, model_dir=output_dir))
float64_labels = boston.target.astype(np.float64)
est.fit(x=boston.data, y=float64_labels, steps=50)
scores = est.score(
x=boston.data,
y=float64_labels,
metrics={'MSE': metric_ops.streaming_mean_squared_error})
del est
# Create another estimator object with the same output dir.
est2 = estimator.SKCompat(
estimator.Estimator(
model_fn=linear_model_fn, model_dir=output_dir))
# Check we can evaluate and predict.
scores2 = est2.score(
x=boston.data,
y=float64_labels,
metrics={'MSE': metric_ops.streaming_mean_squared_error})
self.assertAllClose(scores['MSE'], scores2['MSE'])
predictions = np.array(list(est2.predict(x=boston.data)))
other_score = _sklearn.mean_squared_error(predictions, float64_labels)
self.assertAllClose(scores['MSE'], other_score)
# Check we can keep training.
est2.fit(x=boston.data, y=float64_labels, steps=100)
scores3 = est2.score(
x=boston.data,
y=float64_labels,
metrics={'MSE': metric_ops.streaming_mean_squared_error})
self.assertLess(scores3['MSE'], scores['MSE'])
def test_checkpoint_contains_relative_paths(self):
tmpdir = tempfile.mkdtemp()
est = estimator.Estimator(
model_dir=tmpdir,
model_fn=linear_model_fn_with_model_fn_ops)
est.fit(input_fn=boston_input_fn, steps=5)
checkpoint_file_content = file_io.read_file_to_string(
os.path.join(tmpdir, 'checkpoint'))
ckpt = checkpoint_state_pb2.CheckpointState()
text_format.Merge(checkpoint_file_content, ckpt)
self.assertEqual(ckpt.model_checkpoint_path, 'model.ckpt-5')
self.assertAllEqual(
['model.ckpt-1', 'model.ckpt-5'], ckpt.all_model_checkpoint_paths)
def test_train_save_copy_reload(self):
tmpdir = tempfile.mkdtemp()
model_dir1 = os.path.join(tmpdir, 'model_dir1')
est1 = estimator.Estimator(
model_dir=model_dir1,
model_fn=linear_model_fn_with_model_fn_ops)
est1.fit(input_fn=boston_input_fn, steps=5)
model_dir2 = os.path.join(tmpdir, 'model_dir2')
os.renames(model_dir1, model_dir2)
est2 = estimator.Estimator(
model_dir=model_dir2,
model_fn=linear_model_fn_with_model_fn_ops)
self.assertEqual(5, est2.get_variable_value('global_step'))
est2.fit(input_fn=boston_input_fn, steps=5)
self.assertEqual(10, est2.get_variable_value('global_step'))
def testEstimatorParams(self):
boston = base.load_boston()
est = estimator.SKCompat(
estimator.Estimator(
model_fn=linear_model_params_fn, params={'learning_rate': 0.01}))
est.fit(x=boston.data, y=boston.target, steps=100)
def testHooksNotChanged(self):
est = estimator.Estimator(model_fn=logistic_model_no_mode_fn)
# We pass empty array and expect it to remain empty after calling
# fit and evaluate. Requires inside to copy this array if any hooks were
# added.
my_array = []
est.fit(input_fn=iris_input_fn, steps=100, monitors=my_array)
_ = est.evaluate(input_fn=iris_input_fn, steps=1, hooks=my_array)
self.assertEqual(my_array, [])
def testIrisIterator(self):
iris = base.load_iris()
est = estimator.Estimator(model_fn=logistic_model_no_mode_fn)
x_iter = itertools.islice(iris.data, 100)
y_iter = itertools.islice(iris.target, 100)
estimator.SKCompat(est).fit(x_iter, y_iter, steps=20)
eval_result = est.evaluate(input_fn=iris_input_fn, steps=1)
x_iter_eval = itertools.islice(iris.data, 100)
y_iter_eval = itertools.islice(iris.target, 100)
score_result = estimator.SKCompat(est).score(x_iter_eval, y_iter_eval)
print(score_result)
self.assertItemsEqual(eval_result.keys(), score_result.keys())
self.assertItemsEqual(['global_step', 'loss'], score_result.keys())
predictions = estimator.SKCompat(est).predict(x=iris.data)['class']
self.assertEqual(len(predictions), iris.target.shape[0])
def testIrisIteratorArray(self):
iris = base.load_iris()
est = estimator.Estimator(model_fn=logistic_model_no_mode_fn)
x_iter = itertools.islice(iris.data, 100)
y_iter = (np.array(x) for x in iris.target)
est.fit(x_iter, y_iter, steps=100)
_ = est.evaluate(input_fn=iris_input_fn, steps=1)
_ = six.next(est.predict(x=iris.data))['class']
def testIrisIteratorPlainInt(self):
iris = base.load_iris()
est = estimator.Estimator(model_fn=logistic_model_no_mode_fn)
x_iter = itertools.islice(iris.data, 100)
y_iter = (v for v in iris.target)
est.fit(x_iter, y_iter, steps=100)
_ = est.evaluate(input_fn=iris_input_fn, steps=1)
_ = six.next(est.predict(x=iris.data))['class']
def testIrisTruncatedIterator(self):
iris = base.load_iris()
est = estimator.Estimator(model_fn=logistic_model_no_mode_fn)
x_iter = itertools.islice(iris.data, 50)
y_iter = ([np.int32(v)] for v in iris.target)
est.fit(x_iter, y_iter, steps=100)
def testTrainStepsIsIncremental(self):
est = estimator.Estimator(model_fn=linear_model_fn)
est.fit(input_fn=boston_input_fn, steps=10)
self.assertEqual(10, est.get_variable_value('global_step'))
est.fit(input_fn=boston_input_fn, steps=15)
self.assertEqual(25, est.get_variable_value('global_step'))
def testTrainMaxStepsIsNotIncremental(self):
est = estimator.Estimator(model_fn=linear_model_fn)
est.fit(input_fn=boston_input_fn, max_steps=10)
self.assertEqual(10, est.get_variable_value('global_step'))
est.fit(input_fn=boston_input_fn, max_steps=15)
self.assertEqual(15, est.get_variable_value('global_step'))
def testPredict(self):
est = estimator.Estimator(model_fn=linear_model_fn)
boston = base.load_boston()
est.fit(input_fn=boston_input_fn, steps=1)
output = list(est.predict(x=boston.data, batch_size=10))
self.assertEqual(len(output), boston.target.shape[0])
def testWithModelFnOps(self):
"""Test for model_fn that returns `ModelFnOps`."""
est = estimator.Estimator(model_fn=linear_model_fn_with_model_fn_ops)
boston = base.load_boston()
est.fit(input_fn=boston_input_fn, steps=1)
input_fn = functools.partial(boston_input_fn, num_epochs=1)
scores = est.evaluate(input_fn=input_fn, steps=1)
self.assertIn('loss', scores.keys())
output = list(est.predict(input_fn=input_fn))
self.assertEqual(len(output), boston.target.shape[0])
def testWrongInput(self):
def other_input_fn():
return {
'other': constant_op.constant([0, 0, 0])
}, constant_op.constant([0, 0, 0])
est = estimator.Estimator(model_fn=linear_model_fn)
est.fit(input_fn=boston_input_fn, steps=1)
with self.assertRaises(ValueError):
est.fit(input_fn=other_input_fn, steps=1)
def testMonitorsForFit(self):
est = estimator.Estimator(model_fn=linear_model_fn)
est.fit(input_fn=boston_input_fn,
steps=21,
monitors=[CheckCallsMonitor(expect_calls=21)])
def testHooksForEvaluate(self):
class CheckCallHook(session_run_hook.SessionRunHook):
def __init__(self):
self.run_count = 0
def after_run(self, run_context, run_values):
self.run_count += 1
est = learn.Estimator(model_fn=linear_model_fn)
est.fit(input_fn=boston_input_fn, steps=1)
hook = CheckCallHook()
est.evaluate(input_fn=boston_eval_fn, steps=3, hooks=[hook])
self.assertEqual(3, hook.run_count)
def testSummaryWriting(self):
est = estimator.Estimator(model_fn=linear_model_fn)
est.fit(input_fn=boston_input_fn, steps=200)
est.evaluate(input_fn=boston_input_fn, steps=200)
loss_summary = util_test.simple_values_from_events(
util_test.latest_events(est.model_dir), ['OptimizeLoss/loss'])
self.assertEqual(1, len(loss_summary))
def testSummaryWritingWithSummaryProto(self):
def _streaming_mean_squared_error_histogram(predictions,
labels,
weights=None,
metrics_collections=None,
updates_collections=None,
name=None):
metrics, update_ops = metric_ops.streaming_mean_squared_error(
predictions,
labels,
weights=weights,
metrics_collections=metrics_collections,
updates_collections=updates_collections,
name=name)
return summary.histogram('histogram', metrics), update_ops
est = estimator.Estimator(model_fn=linear_model_fn)
est.fit(input_fn=boston_input_fn, steps=200)
est.evaluate(
input_fn=boston_input_fn,
steps=200,
metrics={'MSE': _streaming_mean_squared_error_histogram})
events = util_test.latest_events(est.model_dir + '/eval')
output_values = {}
for e in events:
if e.HasField('summary'):
for v in e.summary.value:
output_values[v.tag] = v
self.assertTrue('MSE' in output_values)
self.assertTrue(output_values['MSE'].HasField('histo'))
def testLossInGraphCollection(self):
class _LossCheckerHook(session_run_hook.SessionRunHook):
def begin(self):
self.loss_collection = ops.get_collection(ops.GraphKeys.LOSSES)
hook = _LossCheckerHook()
est = estimator.Estimator(model_fn=linear_model_fn)
est.fit(input_fn=boston_input_fn, steps=200, monitors=[hook])
self.assertTrue(hook.loss_collection)
def test_export_returns_exported_dirname(self):
expected = '/path/to/some_dir'
with test.mock.patch.object(estimator, 'export') as mock_export_module:
mock_export_module._export_estimator.return_value = expected
est = estimator.Estimator(model_fn=linear_model_fn)
actual = est.export('/path/to')
self.assertEquals(expected, actual)
def test_export_savedmodel(self):
tmpdir = tempfile.mkdtemp()
est, serving_input_fn = _build_estimator_for_export_tests(tmpdir)
extra_file_name = os.path.join(
compat.as_bytes(tmpdir), compat.as_bytes('my_extra_file'))
extra_file = gfile.GFile(extra_file_name, mode='w')
extra_file.write(EXTRA_FILE_CONTENT)
extra_file.close()
assets_extra = {'some/sub/directory/my_extra_file': extra_file_name}
export_dir_base = os.path.join(
compat.as_bytes(tmpdir), compat.as_bytes('export'))
export_dir = est.export_savedmodel(
export_dir_base, serving_input_fn, assets_extra=assets_extra)
self.assertTrue(gfile.Exists(export_dir_base))
self.assertTrue(gfile.Exists(export_dir))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir), compat.as_bytes(
'saved_model.pb'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir), compat.as_bytes('variables'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir),
compat.as_bytes('variables/variables.index'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir),
compat.as_bytes('variables/variables.data-00000-of-00001'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir), compat.as_bytes('assets'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir),
compat.as_bytes('assets/my_vocab_file'))))
self.assertEqual(
compat.as_bytes(VOCAB_FILE_CONTENT),
compat.as_bytes(
gfile.GFile(
os.path.join(
compat.as_bytes(export_dir),
compat.as_bytes('assets/my_vocab_file'))).read()))
expected_extra_path = os.path.join(
compat.as_bytes(export_dir),
compat.as_bytes('assets.extra/some/sub/directory/my_extra_file'))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir), compat.as_bytes('assets.extra'))))
self.assertTrue(gfile.Exists(expected_extra_path))
self.assertEqual(
compat.as_bytes(EXTRA_FILE_CONTENT),
compat.as_bytes(gfile.GFile(expected_extra_path).read()))
expected_vocab_file = os.path.join(
compat.as_bytes(tmpdir), compat.as_bytes('my_vocab_file'))
# Restore, to validate that the export was well-formed.
with ops.Graph().as_default() as graph:
with session_lib.Session(graph=graph) as sess:
loader.load(sess, [tag_constants.SERVING], export_dir)
assets = [
x.eval()
for x in graph.get_collection(ops.GraphKeys.ASSET_FILEPATHS)
]
self.assertItemsEqual([expected_vocab_file], assets)
graph_ops = [x.name for x in graph.get_operations()]
self.assertTrue('input_example_tensor' in graph_ops)
self.assertTrue('ParseExample/ParseExample' in graph_ops)
self.assertTrue('linear/linear/feature/matmul' in graph_ops)
self.assertItemsEqual(
['bogus_lookup', 'feature'],
[compat.as_str_any(x) for x in graph.get_collection(
constants.COLLECTION_DEF_KEY_FOR_INPUT_FEATURE_KEYS)])
# cleanup
gfile.DeleteRecursively(tmpdir)
def test_export_savedmodel_with_resource(self):
tmpdir = tempfile.mkdtemp()
est, serving_input_fn = _build_estimator_for_resource_export_test()
export_dir_base = os.path.join(
compat.as_bytes(tmpdir), compat.as_bytes('export'))
export_dir = est.export_savedmodel(export_dir_base, serving_input_fn)
self.assertTrue(gfile.Exists(export_dir_base))
self.assertTrue(gfile.Exists(export_dir))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir), compat.as_bytes(
'saved_model.pb'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir), compat.as_bytes('variables'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir),
compat.as_bytes('variables/variables.index'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir),
compat.as_bytes('variables/variables.data-00000-of-00001'))))
# Restore, to validate that the export was well-formed.
with ops.Graph().as_default() as graph:
with session_lib.Session(graph=graph) as sess:
loader.load(sess, [tag_constants.SERVING], export_dir)
graph_ops = [x.name for x in graph.get_operations()]
self.assertTrue('input_example_tensor' in graph_ops)
self.assertTrue('ParseExample/ParseExample' in graph_ops)
self.assertTrue('LookupTableModel' in graph_ops)
self.assertFalse('LookupTableTrainingState' in graph_ops)
# cleanup
gfile.DeleteRecursively(tmpdir)
def test_export_savedmodel_with_graph_transforms(self):
tmpdir = tempfile.mkdtemp()
est, serving_input_fn = _build_estimator_for_export_tests(tmpdir)
extra_file_name = os.path.join(
compat.as_bytes(tmpdir), compat.as_bytes('my_extra_file'))
extra_file = gfile.GFile(extra_file_name, mode='w')
extra_file.write(EXTRA_FILE_CONTENT)
extra_file.close()
assets_extra = {'some/sub/directory/my_extra_file': extra_file_name}
export_dir_base = os.path.join(
compat.as_bytes(tmpdir), compat.as_bytes('export'))
export_dir = est.export_savedmodel(
export_dir_base, serving_input_fn, assets_extra=assets_extra,
graph_rewrite_specs=[
estimator.GraphRewriteSpec(['tag_1'], []),
estimator.GraphRewriteSpec(['tag_2', 'tag_3'],
['strip_unused_nodes'])])
self.assertTrue(gfile.Exists(export_dir_base))
self.assertTrue(gfile.Exists(export_dir))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir), compat.as_bytes(
'saved_model.pb'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir), compat.as_bytes('variables'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir),
compat.as_bytes('variables/variables.index'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir),
compat.as_bytes('variables/variables.data-00000-of-00001'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir), compat.as_bytes('assets'))))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir),
compat.as_bytes('assets/my_vocab_file'))))
self.assertEqual(
compat.as_bytes(VOCAB_FILE_CONTENT),
compat.as_bytes(
gfile.GFile(
os.path.join(
compat.as_bytes(export_dir),
compat.as_bytes('assets/my_vocab_file'))).read()))
expected_extra_path = os.path.join(
compat.as_bytes(export_dir),
compat.as_bytes('assets.extra/some/sub/directory/my_extra_file'))
self.assertTrue(
gfile.Exists(
os.path.join(
compat.as_bytes(export_dir), compat.as_bytes('assets.extra'))))
self.assertTrue(gfile.Exists(expected_extra_path))
self.assertEqual(
compat.as_bytes(EXTRA_FILE_CONTENT),
compat.as_bytes(gfile.GFile(expected_extra_path).read()))
expected_vocab_file = os.path.join(
compat.as_bytes(tmpdir), compat.as_bytes('my_vocab_file'))
# Restore, to validate that the export was well-formed.
# tag_1 is untransformed.
tags = ['tag_1']
with ops.Graph().as_default() as graph:
with session_lib.Session(graph=graph) as sess:
loader.load(sess, tags, export_dir)
assets = [
x.eval()
for x in graph.get_collection(ops.GraphKeys.ASSET_FILEPATHS)
]
self.assertItemsEqual([expected_vocab_file], assets)
graph_ops = [x.name for x in graph.get_operations()]
self.assertTrue('input_example_tensor' in graph_ops)
self.assertTrue('ParseExample/ParseExample' in graph_ops)
self.assertTrue('linear/linear/feature/matmul' in graph_ops)
# Since there were no transforms, both save ops are still present.
self.assertTrue('save/SaveV2/tensor_names' in graph_ops)
self.assertTrue('save_1/SaveV2/tensor_names' in graph_ops)
# Since there were no transforms, the hash table lookup is still there.
self.assertTrue('hash_table_Lookup' in graph_ops)
# Restore, to validate that the export was well-formed.
# tag_2, tag_3 was subjected to strip_unused_nodes.
tags = ['tag_2', 'tag_3']
with ops.Graph().as_default() as graph:
with session_lib.Session(graph=graph) as sess:
loader.load(sess, tags, export_dir)
assets = [
x.eval()
for x in graph.get_collection(ops.GraphKeys.ASSET_FILEPATHS)
]
self.assertItemsEqual([expected_vocab_file], assets)
graph_ops = [x.name for x in graph.get_operations()]
self.assertTrue('input_example_tensor' in graph_ops)
self.assertTrue('ParseExample/ParseExample' in graph_ops)
self.assertTrue('linear/linear/feature/matmul' in graph_ops)
# The Saver used to restore the checkpoint into the export Session
# was not added to the SAVERS collection, so strip_unused_nodes removes
# it. The one explicitly created in export_savedmodel is tracked in
# the MetaGraphDef saver_def field, so that one is retained.
# TODO(soergel): Make Savers sane again. I understand this is all a bit
# nuts but for now the test demonstrates what actually happens.
self.assertFalse('save/SaveV2/tensor_names' in graph_ops)
self.assertTrue('save_1/SaveV2/tensor_names' in graph_ops)
# The fake hash table lookup wasn't connected to anything; stripped.
self.assertFalse('hash_table_Lookup' in graph_ops)
# cleanup
gfile.DeleteRecursively(tmpdir)
class InferRealValuedColumnsTest(test.TestCase):
def testInvalidArgs(self):
with self.assertRaisesRegexp(ValueError, 'x or input_fn must be provided'):
estimator.infer_real_valued_columns_from_input(None)
with self.assertRaisesRegexp(ValueError, 'cannot be tensors'):
estimator.infer_real_valued_columns_from_input(constant_op.constant(1.0))
def _assert_single_feature_column(self, expected_shape, expected_dtype,
feature_columns):
self.assertEqual(1, len(feature_columns))
feature_column = feature_columns[0]
self.assertEqual('', feature_column.name)
self.assertEqual(
{
'':
parsing_ops.FixedLenFeature(
shape=expected_shape, dtype=expected_dtype)
},
feature_column.config)
def testInt32Input(self):
feature_columns = estimator.infer_real_valued_columns_from_input(
np.ones(
shape=[7, 8], dtype=np.int32))
self._assert_single_feature_column([8], dtypes.int32, feature_columns)
def testInt32InputFn(self):
feature_columns = estimator.infer_real_valued_columns_from_input_fn(
lambda: (array_ops.ones(shape=[7, 8], dtype=dtypes.int32), None))
self._assert_single_feature_column([8], dtypes.int32, feature_columns)
def testInt64Input(self):
feature_columns = estimator.infer_real_valued_columns_from_input(
np.ones(
shape=[7, 8], dtype=np.int64))
self._assert_single_feature_column([8], dtypes.int64, feature_columns)
def testInt64InputFn(self):
feature_columns = estimator.infer_real_valued_columns_from_input_fn(
lambda: (array_ops.ones(shape=[7, 8], dtype=dtypes.int64), None))
self._assert_single_feature_column([8], dtypes.int64, feature_columns)
def testFloat32Input(self):
feature_columns = estimator.infer_real_valued_columns_from_input(
np.ones(
shape=[7, 8], dtype=np.float32))
self._assert_single_feature_column([8], dtypes.float32, feature_columns)
def testFloat32InputFn(self):
feature_columns = estimator.infer_real_valued_columns_from_input_fn(
lambda: (array_ops.ones(shape=[7, 8], dtype=dtypes.float32), None))
self._assert_single_feature_column([8], dtypes.float32, feature_columns)
def testFloat64Input(self):
feature_columns = estimator.infer_real_valued_columns_from_input(
np.ones(
shape=[7, 8], dtype=np.float64))
self._assert_single_feature_column([8], dtypes.float64, feature_columns)
def testFloat64InputFn(self):
feature_columns = estimator.infer_real_valued_columns_from_input_fn(
lambda: (array_ops.ones(shape=[7, 8], dtype=dtypes.float64), None))
self._assert_single_feature_column([8], dtypes.float64, feature_columns)
def testBoolInput(self):
with self.assertRaisesRegexp(
ValueError, 'on integer or non floating types are not supported'):
estimator.infer_real_valued_columns_from_input(
np.array([[False for _ in xrange(8)] for _ in xrange(7)]))
def testBoolInputFn(self):
with self.assertRaisesRegexp(
ValueError, 'on integer or non floating types are not supported'):
# pylint: disable=g-long-lambda
estimator.infer_real_valued_columns_from_input_fn(
lambda: (constant_op.constant(False, shape=[7, 8], dtype=dtypes.bool),
None))
def testStringInput(self):
with self.assertRaisesRegexp(
ValueError, 'on integer or non floating types are not supported'):
# pylint: disable=g-long-lambda
estimator.infer_real_valued_columns_from_input(
np.array([['%d.0' % i for i in xrange(8)] for _ in xrange(7)]))
def testStringInputFn(self):
with self.assertRaisesRegexp(
ValueError, 'on integer or non floating types are not supported'):
# pylint: disable=g-long-lambda
estimator.infer_real_valued_columns_from_input_fn(
lambda: (
constant_op.constant([['%d.0' % i
for i in xrange(8)]
for _ in xrange(7)]),
None))
def testBostonInputFn(self):
feature_columns = estimator.infer_real_valued_columns_from_input_fn(
boston_input_fn)
self._assert_single_feature_column([_BOSTON_INPUT_DIM], dtypes.float64,
feature_columns)
def testIrisInputFn(self):
feature_columns = estimator.infer_real_valued_columns_from_input_fn(
iris_input_fn)
self._assert_single_feature_column([_IRIS_INPUT_DIM], dtypes.float64,
feature_columns)
class ReplicaDeviceSetterTest(test.TestCase):
def testVariablesAreOnPs(self):
tf_config = {'cluster': {run_config.TaskType.PS: ['fake_ps_0']}}
with test.mock.patch.dict('os.environ',
{'TF_CONFIG': json.dumps(tf_config)}):
config = run_config.RunConfig()
with ops.device(estimator._get_replica_device_setter(config)):
v = variables_lib.Variable([1, 2])
w = variables_lib.Variable([2, 1])
a = v + w
self.assertDeviceEqual('/job:ps/task:0', v.device)
self.assertDeviceEqual('/job:ps/task:0', v.initializer.device)
self.assertDeviceEqual('/job:ps/task:0', w.device)
self.assertDeviceEqual('/job:ps/task:0', w.initializer.device)
self.assertDeviceEqual('/job:worker', a.device)
def testVariablesAreLocal(self):
with ops.device(
estimator._get_replica_device_setter(run_config.RunConfig())):
v = variables_lib.Variable([1, 2])
w = variables_lib.Variable([2, 1])
a = v + w
self.assertDeviceEqual('', v.device)
self.assertDeviceEqual('', v.initializer.device)
self.assertDeviceEqual('', w.device)
self.assertDeviceEqual('', w.initializer.device)
self.assertDeviceEqual('', a.device)
def testMutableHashTableIsOnPs(self):
tf_config = {'cluster': {run_config.TaskType.PS: ['fake_ps_0']}}
with test.mock.patch.dict('os.environ',
{'TF_CONFIG': json.dumps(tf_config)}):
config = run_config.RunConfig()
with ops.device(estimator._get_replica_device_setter(config)):
default_val = constant_op.constant([-1, -1], dtypes.int64)
table = lookup.MutableHashTable(dtypes.string, dtypes.int64,
default_val)
input_string = constant_op.constant(['brain', 'salad', 'tank'])
output = table.lookup(input_string)
self.assertDeviceEqual('/job:ps/task:0', table._table_ref.device)
self.assertDeviceEqual('/job:ps/task:0', output.device)
def testMutableHashTableIsLocal(self):
with ops.device(
estimator._get_replica_device_setter(run_config.RunConfig())):
default_val = constant_op.constant([-1, -1], dtypes.int64)
table = lookup.MutableHashTable(dtypes.string, dtypes.int64,
default_val)
input_string = constant_op.constant(['brain', 'salad', 'tank'])
output = table.lookup(input_string)
self.assertDeviceEqual('', table._table_ref.device)
self.assertDeviceEqual('', output.device)
def testTaskIsSetOnWorkerWhenJobNameIsSet(self):
tf_config = {
'cluster': {
run_config.TaskType.PS: ['fake_ps_0']
},
'task': {
'type': run_config.TaskType.WORKER,
'index': 3
}
}
with test.mock.patch.dict('os.environ',
{'TF_CONFIG': json.dumps(tf_config)}):
config = run_config.RunConfig()
with ops.device(estimator._get_replica_device_setter(config)):
v = variables_lib.Variable([1, 2])
w = variables_lib.Variable([2, 1])
a = v + w
self.assertDeviceEqual('/job:ps/task:0', v.device)
self.assertDeviceEqual('/job:ps/task:0', v.initializer.device)
self.assertDeviceEqual('/job:ps/task:0', w.device)
self.assertDeviceEqual('/job:ps/task:0', w.initializer.device)
self.assertDeviceEqual('/job:worker/task:3', a.device)
if __name__ == '__main__':
test.main()
| apache-2.0 |
kgullikson88/TS23-Scripts | PlotFits.py | 1 | 2665 | import sys
import itertools
import matplotlib.pyplot as plt
import numpy as np
import FitsUtils
if __name__ == "__main__":
fileList = []
tellurics = False
normalize = False
byorder = False # Plots one order at a time
pixelscale = False
oneplot = False
for arg in sys.argv[1:]:
if "tellcorr" in arg:
tellurics = True
elif "-norm" in arg:
normalize = True
elif "-order" in arg:
byorder = True
elif "-pix" in arg:
pixelscale = True
# byorder = True
elif "-one" in arg:
oneplot = True
else:
fileList.append(arg)
# linestyles = ['k-', 'r-', 'b-', 'g-']
linestyles = itertools.cycle(('-', '--', ':', '-.'))
colors = itertools.cycle(('r', 'g', 'b', 'c', 'm', 'y', 'k'))
for fnum, fname in enumerate(fileList):
#ls = linestyles[fnum % len(linestyles)]
col = colors.next()
if fnum % 7 == 0:
style = linestyles.next()
ls = '{}{}'.format(col, style)
orders = FitsUtils.MakeXYpoints(fname, extensions=True, x="wavelength", y="flux", cont="continuum",
errors="error")
print fname, len(orders)
if not oneplot:
plt.figure(fnum)
plt.title(fname)
if tellurics:
model = FitsUtils.MakeXYpoints(fname, extensions=True, x="wavelength", y="model")
for i, order in enumerate(orders):
# order.cont = FindContinuum.Continuum(order.x, order.y, lowreject=3, highreject=3)
if pixelscale:
order.x = np.arange(order.size())
if tellurics:
plt.plot(order.x, order.y / order.cont, 'k-')
plt.plot(order.x, model[i].y, 'r-')
else:
if normalize:
plt.plot(order.x, order.y / order.cont, ls, label=fname)
plt.text(order.x.mean(), 1.1, str(i + 1))
else:
if i == 0:
plt.plot(order.x, order.y, ls, label=fname)
else:
plt.plot(order.x, order.y, ls)
#plt.plot(order.x, order.cont)
plt.xlabel("Wavelength (nm)")
plt.ylabel("Flux")
plt.gca().get_xaxis().get_major_formatter().set_useOffset(False)
if byorder:
plt.title("Order %i" % i)
plt.show()
if not byorder:
if 'oneplot':
leg = plt.legend(loc='best', fancybox=True)
leg.get_frame().set_alpha(0.4)
plt.show()
| gpl-3.0 |
f3r/scikit-learn | examples/cluster/plot_kmeans_digits.py | 230 | 4524 | """
===========================================================
A demo of K-Means clustering on the handwritten digits data
===========================================================
In this example we compare the various initialization strategies for
K-means in terms of runtime and quality of the results.
As the ground truth is known here, we also apply different cluster
quality metrics to judge the goodness of fit of the cluster labels to the
ground truth.
Cluster quality metrics evaluated (see :ref:`clustering_evaluation` for
definitions and discussions of the metrics):
=========== ========================================================
Shorthand full name
=========== ========================================================
homo homogeneity score
compl completeness score
v-meas V measure
ARI adjusted Rand index
AMI adjusted mutual information
silhouette silhouette coefficient
=========== ========================================================
"""
print(__doc__)
from time import time
import numpy as np
import matplotlib.pyplot as plt
from sklearn import metrics
from sklearn.cluster import KMeans
from sklearn.datasets import load_digits
from sklearn.decomposition import PCA
from sklearn.preprocessing import scale
np.random.seed(42)
digits = load_digits()
data = scale(digits.data)
n_samples, n_features = data.shape
n_digits = len(np.unique(digits.target))
labels = digits.target
sample_size = 300
print("n_digits: %d, \t n_samples %d, \t n_features %d"
% (n_digits, n_samples, n_features))
print(79 * '_')
print('% 9s' % 'init'
' time inertia homo compl v-meas ARI AMI silhouette')
def bench_k_means(estimator, name, data):
t0 = time()
estimator.fit(data)
print('% 9s %.2fs %i %.3f %.3f %.3f %.3f %.3f %.3f'
% (name, (time() - t0), estimator.inertia_,
metrics.homogeneity_score(labels, estimator.labels_),
metrics.completeness_score(labels, estimator.labels_),
metrics.v_measure_score(labels, estimator.labels_),
metrics.adjusted_rand_score(labels, estimator.labels_),
metrics.adjusted_mutual_info_score(labels, estimator.labels_),
metrics.silhouette_score(data, estimator.labels_,
metric='euclidean',
sample_size=sample_size)))
bench_k_means(KMeans(init='k-means++', n_clusters=n_digits, n_init=10),
name="k-means++", data=data)
bench_k_means(KMeans(init='random', n_clusters=n_digits, n_init=10),
name="random", data=data)
# in this case the seeding of the centers is deterministic, hence we run the
# kmeans algorithm only once with n_init=1
pca = PCA(n_components=n_digits).fit(data)
bench_k_means(KMeans(init=pca.components_, n_clusters=n_digits, n_init=1),
name="PCA-based",
data=data)
print(79 * '_')
###############################################################################
# Visualize the results on PCA-reduced data
reduced_data = PCA(n_components=2).fit_transform(data)
kmeans = KMeans(init='k-means++', n_clusters=n_digits, n_init=10)
kmeans.fit(reduced_data)
# Step size of the mesh. Decrease to increase the quality of the VQ.
h = .02 # point in the mesh [x_min, m_max]x[y_min, y_max].
# Plot the decision boundary. For that, we will assign a color to each
x_min, x_max = reduced_data[:, 0].min() - 1, reduced_data[:, 0].max() + 1
y_min, y_max = reduced_data[:, 1].min() - 1, reduced_data[:, 1].max() + 1
xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))
# Obtain labels for each point in mesh. Use last trained model.
Z = kmeans.predict(np.c_[xx.ravel(), yy.ravel()])
# Put the result into a color plot
Z = Z.reshape(xx.shape)
plt.figure(1)
plt.clf()
plt.imshow(Z, interpolation='nearest',
extent=(xx.min(), xx.max(), yy.min(), yy.max()),
cmap=plt.cm.Paired,
aspect='auto', origin='lower')
plt.plot(reduced_data[:, 0], reduced_data[:, 1], 'k.', markersize=2)
# Plot the centroids as a white X
centroids = kmeans.cluster_centers_
plt.scatter(centroids[:, 0], centroids[:, 1],
marker='x', s=169, linewidths=3,
color='w', zorder=10)
plt.title('K-means clustering on the digits dataset (PCA-reduced data)\n'
'Centroids are marked with white cross')
plt.xlim(x_min, x_max)
plt.ylim(y_min, y_max)
plt.xticks(())
plt.yticks(())
plt.show()
| bsd-3-clause |
crichardson17/starburst_atlas | Low_resolution_sims/DustFree_LowRes/Geneva_Rot_inst/Geneva_Rot_inst_age6/Rest.py | 33 | 7215 | import csv
import matplotlib.pyplot as plt
from numpy import *
import scipy.interpolate
import math
from pylab import *
from matplotlib.ticker import MultipleLocator, FormatStrFormatter
import matplotlib.patches as patches
from matplotlib.path import Path
import os
# ------------------------------------------------------------------------------------------------------
#inputs
for file in os.listdir('.'):
if file.endswith(".grd"):
inputfile = file
for file in os.listdir('.'):
if file.endswith(".txt"):
inputfile2 = file
# ------------------------------------------------------------------------------------------------------
#Patches data
#for the Kewley and Levesque data
verts = [
(1., 7.97712125471966000000), # left, bottom
(1., 9.57712125471966000000), # left, top
(2., 10.57712125471970000000), # right, top
(2., 8.97712125471966000000), # right, bottom
(0., 0.), # ignored
]
codes = [Path.MOVETO,
Path.LINETO,
Path.LINETO,
Path.LINETO,
Path.CLOSEPOLY,
]
path = Path(verts, codes)
# ------------------------
#for the Kewley 01 data
verts2 = [
(2.4, 9.243038049), # left, bottom
(2.4, 11.0211893), # left, top
(2.6, 11.0211893), # right, top
(2.6, 9.243038049), # right, bottom
(0, 0.), # ignored
]
path = Path(verts, codes)
path2 = Path(verts2, codes)
# -------------------------
#for the Moy et al data
verts3 = [
(1., 6.86712125471966000000), # left, bottom
(1., 10.18712125471970000000), # left, top
(3., 12.18712125471970000000), # right, top
(3., 8.86712125471966000000), # right, bottom
(0., 0.), # ignored
]
path = Path(verts, codes)
path3 = Path(verts3, codes)
# ------------------------------------------------------------------------------------------------------
#the routine to add patches for others peoples' data onto our plots.
def add_patches(ax):
patch3 = patches.PathPatch(path3, facecolor='yellow', lw=0)
patch2 = patches.PathPatch(path2, facecolor='green', lw=0)
patch = patches.PathPatch(path, facecolor='red', lw=0)
ax1.add_patch(patch3)
ax1.add_patch(patch2)
ax1.add_patch(patch)
# ------------------------------------------------------------------------------------------------------
#the subplot routine
def add_sub_plot(sub_num):
numplots = 16
plt.subplot(numplots/4.,4,sub_num)
rbf = scipy.interpolate.Rbf(x, y, z[:,sub_num-1], function='linear')
zi = rbf(xi, yi)
contour = plt.contour(xi,yi,zi, levels, colors='c', linestyles = 'dashed')
contour2 = plt.contour(xi,yi,zi, levels2, colors='k', linewidths=1.5)
plt.scatter(max_values[line[sub_num-1],2], max_values[line[sub_num-1],3], c ='k',marker = '*')
plt.annotate(headers[line[sub_num-1]], xy=(8,11), xytext=(6,8.5), fontsize = 10)
plt.annotate(max_values[line[sub_num-1],0], xy= (max_values[line[sub_num-1],2], max_values[line[sub_num-1],3]), xytext = (0, -10), textcoords = 'offset points', ha = 'right', va = 'bottom', fontsize=10)
if sub_num == numplots / 2.:
print "half the plots are complete"
#axis limits
yt_min = 8
yt_max = 23
xt_min = 0
xt_max = 12
plt.ylim(yt_min,yt_max)
plt.xlim(xt_min,xt_max)
plt.yticks(arange(yt_min+1,yt_max,1),fontsize=10)
plt.xticks(arange(xt_min+1,xt_max,1), fontsize = 10)
if sub_num in [2,3,4,6,7,8,10,11,12,14,15,16]:
plt.tick_params(labelleft = 'off')
else:
plt.tick_params(labelleft = 'on')
plt.ylabel('Log ($ \phi _{\mathrm{H}} $)')
if sub_num in [1,2,3,4,5,6,7,8,9,10,11,12]:
plt.tick_params(labelbottom = 'off')
else:
plt.tick_params(labelbottom = 'on')
plt.xlabel('Log($n _{\mathrm{H}} $)')
if sub_num == 1:
plt.yticks(arange(yt_min+1,yt_max+1,1),fontsize=10)
if sub_num == 13:
plt.yticks(arange(yt_min,yt_max,1),fontsize=10)
plt.xticks(arange(xt_min,xt_max,1), fontsize = 10)
if sub_num == 16 :
plt.xticks(arange(xt_min+1,xt_max+1,1), fontsize = 10)
# ---------------------------------------------------
#this is where the grid information (phi and hdens) is read in and saved to grid.
grid = [];
with open(inputfile, 'rb') as f:
csvReader = csv.reader(f,delimiter='\t')
for row in csvReader:
grid.append(row);
grid = asarray(grid)
#here is where the data for each line is read in and saved to dataEmissionlines
dataEmissionlines = [];
with open(inputfile2, 'rb') as f:
csvReader = csv.reader(f,delimiter='\t')
headers = csvReader.next()
for row in csvReader:
dataEmissionlines.append(row);
dataEmissionlines = asarray(dataEmissionlines)
print "import files complete"
# ---------------------------------------------------
#for grid
phi_values = grid[1:len(dataEmissionlines)+1,6]
hdens_values = grid[1:len(dataEmissionlines)+1,7]
#for lines
headers = headers[1:]
Emissionlines = dataEmissionlines[:, 1:]
concatenated_data = zeros((len(Emissionlines),len(Emissionlines[0])))
max_values = zeros((len(Emissionlines[0]),4))
#select the scaling factor
#for 1215
#incident = Emissionlines[1:,4]
#for 4860
incident = Emissionlines[:,57]
#take the ratio of incident and all the lines and put it all in an array concatenated_data
for i in range(len(Emissionlines)):
for j in range(len(Emissionlines[0])):
if math.log(4860.*(float(Emissionlines[i,j])/float(Emissionlines[i,57])), 10) > 0:
concatenated_data[i,j] = math.log(4860.*(float(Emissionlines[i,j])/float(Emissionlines[i,57])), 10)
else:
concatenated_data[i,j] == 0
# for 1215
#for i in range(len(Emissionlines)):
# for j in range(len(Emissionlines[0])):
# if math.log(1215.*(float(Emissionlines[i,j])/float(Emissionlines[i,4])), 10) > 0:
# concatenated_data[i,j] = math.log(1215.*(float(Emissionlines[i,j])/float(Emissionlines[i,4])), 10)
# else:
# concatenated_data[i,j] == 0
#find the maxima to plot onto the contour plots
for j in range(len(concatenated_data[0])):
max_values[j,0] = max(concatenated_data[:,j])
max_values[j,1] = argmax(concatenated_data[:,j], axis = 0)
max_values[j,2] = hdens_values[max_values[j,1]]
max_values[j,3] = phi_values[max_values[j,1]]
#to round off the maxima
max_values[:,0] = [ '%.1f' % elem for elem in max_values[:,0] ]
print "data arranged"
# ---------------------------------------------------
#Creating the grid to interpolate with for contours.
gridarray = zeros((len(Emissionlines),2))
gridarray[:,0] = hdens_values
gridarray[:,1] = phi_values
x = gridarray[:,0]
y = gridarray[:,1]
#change desired lines here!
line = [3,4,15,22,37,53,54,55,57,62,77,88,89,90,92,93]
#create z array for this plot
z = concatenated_data[:,line[:]]
# ---------------------------------------------------
# Interpolate
print "starting interpolation"
xi, yi = linspace(x.min(), x.max(), 10), linspace(y.min(), y.max(), 10)
xi, yi = meshgrid(xi, yi)
# ---------------------------------------------------
print "interpolatation complete; now plotting"
#plot
plt.subplots_adjust(wspace=0, hspace=0) #remove space between plots
levels = arange(10**-1,10, .2)
levels2 = arange(10**-2,10**2, 1)
plt.suptitle("Rest of the Lines", fontsize=14)
# ---------------------------------------------------
for i in range(16):
add_sub_plot(i)
ax1 = plt.subplot(4,4,1)
add_patches(ax1)
print "complete"
plt.savefig('Rest.pdf')
plt.clf()
| gpl-2.0 |
317070/kaggle-heart | util_scripts/sunny2npy.py | 1 | 5708 | import re
import os
import fnmatch
import shutil
import dicom
import cv2 #opencv2
import numpy as np
import cPickle as pickle
np.random.seed(317070)
import matplotlib.pyplot as plt
SAX_SERIES = {
# challenge training
"SC-HF-I-1": "0004",
"SC-HF-I-2": "0106",
"SC-HF-I-4": "0116",
"SC-HF-I-5": "0156",
"SC-HF-I-6": "0180",
"SC-HF-I-7": "0209",
"SC-HF-I-8": "0226",
"SC-HF-I-9": "0241",
"SC-HF-I-10": "0024",
"SC-HF-I-11": "0043",
"SC-HF-I-12": "0062",
"SC-HF-I-40": "0134",
"SC-HF-NI-3": "0379",
"SC-HF-NI-4": "0501",
"SC-HF-NI-7": "0523",
"SC-HF-NI-11": "0270",
"SC-HF-NI-12": "0286",
"SC-HF-NI-13": "0304",
"SC-HF-NI-14": "0331",
"SC-HF-NI-15": "0359",
"SC-HF-NI-31": "0401",
"SC-HF-NI-33": "0424",
"SC-HF-NI-34": "0446",
"SC-HF-NI-36": "0474",
"SC-HYP-1": "0550",
"SC-HYP-3": "0650",
"SC-HYP-6": "0767",
"SC-HYP-7": "0007",
"SC-HYP-8": "0796",
"SC-HYP-9": "0003",
"SC-HYP-10": "0579",
"SC-HYP-11": "0601",
"SC-HYP-12": "0629",
"SC-HYP-37": "0702",
"SC-HYP-38": "0734",
"SC-HYP-40": "0755",
"SC-N-2": "0898",
"SC-N-3": "0915",
"SC-N-5": "0963",
"SC-N-6": "0984",
"SC-N-7": "1009",
"SC-N-9": "1031",
"SC-N-10": "0851",
"SC-N-11": "0878",
"SC-N-40": "0944",
}
SUNNYBROOK_ROOT_PATH = os.path.expanduser("/mnt/storage/data/dsb15/lv-challenge")
TRAIN_CONTOUR_PATH = os.path.join(SUNNYBROOK_ROOT_PATH,
"Sunnybrook Cardiac MR Database ContoursPart3",
"TrainingDataContours")
VALIDATION_CONTOUR_PATH = os.path.join(SUNNYBROOK_ROOT_PATH,
"Sunnybrook Cardiac MR Database ContoursPart2",
"ValidationDataContours")
ONLINE_CONTOUR_PATH = os.path.join(SUNNYBROOK_ROOT_PATH,
"Sunnybrook Cardiac MR Database ContoursPart1",
"OnlineDataContours")
print TRAIN_CONTOUR_PATH
TRAIN_IMG_PATH = os.path.join(SUNNYBROOK_ROOT_PATH,
"challenge_training")
VALIDATION_IMG_PATH = os.path.join(SUNNYBROOK_ROOT_PATH,
"challenge_validation")
ONLINE_IMG_PATH = os.path.join(SUNNYBROOK_ROOT_PATH,
"challenge_online")
def shrink_case(case):
toks = case.split("-")
def shrink_if_number(x):
try:
cvt = int(x)
return str(cvt)
except ValueError:
return x
return "-".join([shrink_if_number(t) for t in toks])
class Contour(object):
def __init__(self, ctr_path):
self.ctr_path = ctr_path
match = re.search(r"/([^/]*)/contours-manual/IRCCI-expert/IM-0001-(\d{4})-icontour-manual.txt", ctr_path)
self.case = shrink_case(match.group(1))
self.img_no = int(match.group(2))
def __str__(self):
return "<Contour for case %s, image %d>" % (self.case, self.img_no)
__repr__ = __str__
def load_contour(contour, img_path):
filename = "IM-%s-%04d.dcm" % (SAX_SERIES[contour.case], contour.img_no)
full_path = os.path.join(img_path, contour.case, filename)
f = dicom.read_file(full_path)
img = f.pixel_array.astype(np.int)
ctrs = np.loadtxt(contour.ctr_path, delimiter=" ").astype(np.int32)
label = np.zeros_like(img, dtype="uint8")
cv2.fillPoly(label, [ctrs], 1)
return img, label
def get_all_contours(contour_path):
contours = [os.path.join(dirpath, f)
for dirpath, dirnames, files in os.walk(contour_path)
for f in fnmatch.filter(files, 'IM-0001-*-icontour-manual.txt')
]
print("Shuffle data")
np.random.shuffle(contours)
print("Number of examples: {:d}".format(len(contours)))
extracted = map(Contour, contours)
return extracted
images = []
labels = []
def export_all_contours(contours, img_path):
counter_img = 0
counter_label = 0
batchsz = 100
print("Processing {:d} images and labels...".format(len(contours)))
for i, ctr in enumerate(contours):
img, label = load_contour(ctr, img_path)
images.append(img)
labels.append(label)
#print ctr
#if "SC-HYP-12" in ctr.__str__():
#pass
"""
if i>-1:
plt.figure()
mngr = plt.get_current_fig_manager()
# to put it into the upper left corner for example:
mngr.window.setGeometry(50, 100, 640, 545)
plt.suptitle(ctr.__str__() + " #%d" % i)
plt.imshow(img * (1-label) + (np.max(img)-img)*(label) )
#plt.imshow(label)
plt.show()
"""
if __name__== "__main__":
print("Mapping ground truth contours to images...")
ctrs = get_all_contours(TRAIN_CONTOUR_PATH)
print("Done mapping ground truth contours to images")
print("\nBuilding LMDB for train...")
export_all_contours(ctrs, TRAIN_IMG_PATH)
print("Mapping ground truth contours to images...")
ctrs = get_all_contours(VALIDATION_CONTOUR_PATH)
print("Done mapping ground truth contours to images")
print("\nBuilding LMDB for train...")
export_all_contours(ctrs, VALIDATION_IMG_PATH)
print("Mapping ground truth contours to images...")
ctrs = get_all_contours(ONLINE_CONTOUR_PATH)
print("Done mapping ground truth contours to images")
print("\nBuilding LMDB for train...")
export_all_contours(ctrs, ONLINE_IMG_PATH)
pickle.dump({'images': images,
'labels': labels},
open("/mnt/storage/data/dsb15/pkl_annotated/data.pkl", "wb"),
protocol=pickle.HIGHEST_PROTOCOL) | mit |
ph4r05/NATSimTools | nfproc.py | 1 | 6424 | import os
import sys
import fileinput
import re
import random
import math
from operator import itemgetter, attrgetter
import subprocess
from optparse import OptionParser
import copy
import time
import argparse
from dateutil import parser as dparser
import calendar
import pylab as P
import numpy as np
from scipy.stats import binom
from scipy.stats import nbinom
from scipy.stats import norm
from scipy.stats import poisson
from scipy.stats import chisquare
# Multiple plots
from mpl_toolkits.axes_grid1 import host_subplot
import mpl_toolkits.axisartist as AA
import matplotlib.pyplot as plt
#
# Data processing here
#
def graph(plt, x='Sample', y='Port number', loc=1):
if loc!=-1:
plt.legend(loc=loc)
plt.xlabel(x)
plt.ylabel(y) #,rotation='horizontal')
plt.grid(True)
plt.show()
plt.close()
def nfloat(x):
if x=='nan': return 'nan'
return float(x)
if __name__ == "__main__":
parser = argparse.ArgumentParser(description='NAT netflow data processor.', formatter_class=argparse.ArgumentDefaultsHelpFormatter)
parser.add_argument('-o','--output', help='Output file name from finder', required=False, default='graph.txt')
parser.add_argument('-t','--space', help='Time in ms to wait between packet send', required=False, default=10, type=int)
parser.add_argument('-l','--lmbd_start',help='On which lambda to start', required=False, default=-1, type=float)
parser.add_argument('-s','--strategy', help='Strategy to use (poisson, i2j, fibo, their, ij, binom, simple)', required=False, default='poisson')
parser.add_argument('-r','--rounds', help='Simulation rounds', required=False, type=int, default=1000)
parser.add_argument('-e','--errors', help='Maximum steps by algorithm', required=False, type=int, default=1000)
parser.add_argument('-d','--dot', help='Graphviz dot illustration', required=False, type=int, default=0)
parser.add_argument('-a','--ascii', help='Ascii illustration', required=False, type=int, default=0)
parser.add_argument('-n','--nfdump', help='NFdump file', required=False, default=None)
parser.add_argument('-m','--nfdump_sorted',help='NFdump sorted file', required=False, default=None)
parser.add_argument('-f','--filter', help='NFdump filter', required=False, default=None)
parser.add_argument('-g','--hostnet', help='NFdump host address', required=False, default="147.250.")
parser.add_argument('--lmbd', help='Default Poisson lambda for simulations', required=False, type=float, default=0.1)
parser.add_argument('--pval', help='Graph pvalue', required=False, default=False, action='store_true')
parser.add_argument('file', action="store", nargs='+')
args = parser.parse_args()
keys = []
succ = []
mean = []
styles = ['--bx', '-.g2', ':.r', '--|k', ':m+', '--1c']
#for i, fname in enumerate(args.file):
fname=args.file[0]
fh = open(fname)
dat = fh.readlines()
n = 0
last = -1
kk = [] # keys
ex = [] # E[X]
vx = [] # V[X]
ss = [] # ssum
pk = [[] for i in range(0,6)] # p-value, key
pv = [[] for i in range(0,6)] # p-value
ck = [[] for i in range(0,6)] # chi-square, key
cv = [[] for i in range(0,6)] # chi-square
for d in dat:
d = str(d).strip()
if d.startswith('#') or d.startswith('New'): continue
arr = [nfloat(x) for x in filter(None, d.split('|'))]
if len(arr)==0: continue
# Process the file, E[X], V[X], SUM
if arr[0] > n: n=int(arr[0])
if last != arr[0]:
kk.append(arr[0])
ex.append(arr[2])
vx.append(arr[3])
ss.append(arr[4])
idx = int(arr[1])
# Distribution
if arr[5] != 'nan':
pk[idx].append(arr[0])
ck[idx].append(arr[0])
pv[idx].append(arr[5])
cv[idx].append(arr[6])
# last
last = arr[0]
# Process output to nicely looking graph
x = np.array(range(0, n))
# hypothesis tests results
hypo_0 = len(filter(lambda x: x >= 0.05, pv[0]))
hypo_4 = len(filter(lambda x: x >= 0.05, pv[4]))
print "Statistical data"
print "Mean EX %03.4f; Median EX %03.4f; V[Mean] %03.4f; Mean VX %03.4f; Median VX %03.4f;" % (np.mean(ex), np.median(ex), np.var(ex), np.mean(vx), np.median(vx))
print "Hypothesis testing result"
print "Poisson: %01.5f; median p-value: %01.8f; median chi-square: %01.8f" % (hypo_0/float(len(pk[0])), np.median(pv[0]), np.median(cv[0]))
print "NBinom: %01.5f; median p-value: %01.8f; median chi-square: %01.8f" % (hypo_4/float(len(pk[4])), np.median(pv[4]), np.median(cv[4]))
print "%01.3f & %01.3f & %03.4f & %03.4f & %03.4f" % ((1 - hypo_0/float(len(pk[0]))) * 100, (1 - hypo_4/float(len(pk[4]))) * 100, np.mean(ex), np.var(ex), np.mean(vx))
# e,x
ex_np = np.array(ex)
vx_np = np.array(vx)
exvx = np.abs(vx_np / ex_np)
plt.plot(x, ex_np, 'b+', label="E[X]")
#plt.plot(x, vx_np, 'r3', label="V[X]")
graph(plt)
#
# Histogram for E[X]
#
P.grid(True)
P.Figure()
P.hist(ex_np, 20, normed=0, histtype='bar')
P.legend()
graph(plt, x='$E[X]$', y='Count', loc=-1)
#
# Histogram for dispersion
#
#P.grid(True)
#P.Figure()
#P.hist(exvx, 20, normed=1, histtype='bar')
#P.legend()
#graph(plt, x='$E[X] / V[X]$', y='Count', loc=-1)
#
# P-value histogram
#
# p-value with critical region
pk_p = np.array(pk[0]) # poisson, key
pk_n = np.array(pk[4]) # nbin, key
pv_p = np.array(pv[0]) # poisson, value
pv_n = np.array(pv[4]) # nbin, value
# critical region
plt.axvspan(0.0, 0.05, facecolor='r', alpha=0.6)
# Stacked histogram for poisson and negative binomial
P.grid(True)
P.Figure()
P.hist([pv_p, pv_n], 20, normed=0, histtype='bar', color=['green', 'blue'], label=['Po', 'NB'])
P.legend()
graph(plt, x='p-value', y='Count', loc=-1)
#
# P-value scatter plot
#
plt.plot(pk_p, pv_p, 'g+', label="Po")
plt.plot(pk_n, pv_n, 'b3', label="NB")
plt.axhspan(0.0, 0.05, facecolor='r', alpha=0.5) # p-value reqion
graph(plt, y='p-value', loc=-1)
| apache-2.0 |
radhikapc/foundation-homework | homework10/Homework10-Radhika-Reddit.py | 1 | 4414 |
# coding: utf-8
# In[4]:
import requests
from bs4 import BeautifulSoup
headers = {'User-Agent': 'Mozilla/5.0 (Macintosh; Intel Mac OS X 10_10_1) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/39.0.2171.95 Safari/537.36'}
response = requests.get("https://www.reddit.com/", headers=headers)
doc = BeautifulSoup(response.text, 'html.parser')
# In[5]:
import pandas as pd
# In[6]:
#doc
# #### The title of the post
# In[7]:
def title(my_dict):
title = doc.find_all("p", { 'class': 'title'})
for i in title:
return (i.text.strip())
title(doc)
# #### The number of votes it has (the number between the up and down arrows)
# In[8]:
def votes(my_dict):
voted = doc.find_all("div", { 'class': 'score unvoted'})
for i in voted:
#print(i.text)
if i.text == "•":
return 0
else:
return (i.text.strip())
votes(doc)
# In[9]:
#### The number of comments it has
# In[10]:
def comments(my_dict):
comm = doc.find_all("li", { 'class': 'first'})
for i in comm:
if i.text == "comment":
return "no comments"
else:
return (i.text.strip())
comments(doc)
# In[11]:
#comm = doc.find_all("li", { 'class': 'first'})
#for i in comm:
#if i.text == "comment":
#print(0)
#else:
#print(i.text)
# #### What subreddit it is from (e.g. /r/AskReddit, /r/todayilearned)
# In[12]:
#sub = doc.find_all ("p", {'class': 'tagline'})
#for i in sub:
#subred = doc.find_all("a", {'class': 'subreddit hover may-blank'})
#for i in subred:
#print(i.text)
# In[13]:
def subreddit(my_dict):
sub = doc.find_all ("p", {'class': 'tagline'})
for i in sub:
subred = doc.find_all("a", {'class': 'subreddit hover may-blank'})
for i in subred:
return (i.text.strip())
subreddit(doc)
# #### When it was posted (get a TIMESTAMP, e.g. 2016-06-22T12:33:58+00:00, not "4 hours ago")
# In[14]:
def timestamp(my_dict):
sub = doc.find_all ("p", {'class': 'tagline'})
for i in sub:
time_tag = i.find('time')['datetime']
return time_tag
timestamp(doc)
# In[15]:
#sub = doc.find_all ("p", {'class': 'tagline'})
#for i in sub:
# time_tag = i.find('time')['datetime']
#print(time_tag)
# #### The URL to the post itself
# In[16]:
def url(my_dict):
url_all = doc.find_all ("p", {'class': 'title'})
for i in url_all:
url_tag = i.find('a')['href']
return url_tag
url(doc)
# In[17]:
#url = doc.find_all ("p", {'class': 'title'})
#for i in url:
#url_tag = i.find('a')['href']
#print(url_tag)
# #### The URL of the thumbnail image associated with the post
# In[18]:
def image(my_dict):
image = doc.find_all("a", {'class': 'thumbnail may-blank '})
for i in image:
x = i.find('img')['src']
return x
image(doc)
# In[19]:
#image = doc.find_all("a", {'class': 'thumbnail may-blank '})
#for i in image:
#x = i.find('img')['src']
#print(x)
# ### Creating a CSV
# In[22]:
all_redit = []
this_story = {}
# Grab their headlines and bylines
this_story['TITLE']= title(doc)
this_story['Votes'] = votes(doc)
this_story['Comments']= comments(doc)
this_story['Subredit'] = subreddit(doc)
this_story['Timestamp'] = timestamp(doc)
this_story['URL'] = url(doc)
this_story['URL of Thumbnail'] = image(doc)
all_redit.append(this_story)
# In[24]:
#all_redit
# In[ ]:
redit_df = pd.DataFrame(all_redit)
redit_df.head()
# In[ ]:
redit_df.to_csv("redit-data.csv")
# In[ ]:
import time
# In[ ]:
datestring = time.strftime("%Y-%m-%d-%H-%M")
datestring
# In[ ]:
now = time.strftime("%B %d, %Y")
now
# In[ ]:
filename = "redit-data-" + datestring + ".csv"
my_file = redit_df.to_csv(filename, index=False)
# In[ ]:
key = 'key-f5edb244ca7303dc63f079a4cdb97f73'
sandbox = 'sandbox3b984a674a954bcf8c5f2dca397bc3c1.mailgun.org'
recipient = '[email protected]'
# In[27]:
request_url = 'https://api.mailgun.net/v2/{0}/messages'.format(sandbox)
request = requests.post(request_url, auth=('api', key), files=[("attachment", open("my_file"))], data={
'from': '[email protected]',
'to': recipient,
'subject': "Reddit This Morning:" + now,
'text': 'Reddit Updates from My Server',
})
print('Status: {0}'.format(request.status_code))
print('Body: {0}'.format(request.text))
# In[ ]:
| mit |
ContinuumIO/blaze | blaze/server/tests/test_client.py | 3 | 4346 | from __future__ import absolute_import, division, print_function
import pytest
pytest.importorskip('flask')
from pandas import DataFrame
from blaze import compute, by, into, discover
from blaze import data as bz_data
from blaze.expr import Expr, symbol, Field
from blaze.dispatch import dispatch
from blaze.server import Server
from blaze.server.client import Client
from blaze.utils import example
df = DataFrame([['Alice', 100], ['Bob', 200]],
columns=['name', 'amount'])
df2 = DataFrame([['Charlie', 100], ['Dan', 200]],
columns=['name', 'amount'])
tdata = {'accounts': df, 'accounts2': df}
server = Server(tdata)
add_server = Server(tdata, allow_add=True)
test = server.app.test_client()
test_add = add_server.app.test_client()
from blaze.server import client
client.requests = test # OMG monkey patching
def test_client():
c = Client('localhost:6363')
assert str(discover(c)) == str(discover(tdata))
t = symbol('t', discover(c))
expr = t.accounts.amount.sum()
assert compute(expr, c) == 300
assert 'name' in t.accounts.fields
assert isinstance(t.accounts.name, Field)
assert compute(t.accounts.name, c) == ['Alice', 'Bob']
def test_expr_client_interactive():
c = Client('localhost:6363')
t = bz_data(c)
assert compute(t.accounts.name) == ['Alice', 'Bob']
assert (into(set, compute(by(t.accounts.name, min=t.accounts.amount.min(),
max=t.accounts.amount.max())))
== set([('Alice', 100, 100), ('Bob', 200, 200)]))
def test_compute_client_with_multiple_datasets():
c = bz_data('blaze://localhost:6363')
s = symbol('s', discover(c))
assert compute(s.accounts.amount.sum() + s.accounts2.amount.sum(),
{s: c}) == 600
def test_bz_data():
c = bz_data('blaze://localhost:6363')
assert isinstance(c.data, Client)
assert str(discover(c)) == str(discover(tdata))
def test_bz_data_default_port():
ec = bz_data('blaze://localhost')
assert str(discover(ec)) == str(discover(tdata))
def test_bz_data_non_default_port():
ec = bz_data('blaze://localhost:6364')
assert ec.data.url == 'http://localhost:6364'
def test_bz_data_all_in_one():
ec = bz_data('blaze://localhost:6363')
assert str(discover(ec)) == str(discover(tdata))
class CustomExpr(Expr):
__slots__ = '_hash', '_child'
@property
def dshape(self):
return self._child.dshape
@dispatch(CustomExpr, DataFrame)
def compute_up(expr, tdata, **kwargs):
return tdata
def test_custom_expressions():
ec = Client('localhost:6363')
t = symbol('t', discover(ec))
assert list(map(tuple, compute(CustomExpr(t.accounts), ec))) == into(list, df)
def test_client_dataset_fails():
with pytest.raises(ValueError):
bz_data('blaze://localhost::accounts')
with pytest.raises(ValueError):
bz_data('blaze://localhost::accounts')
def test_client_dataset():
d = bz_data('blaze://localhost')
assert list(map(tuple, into(list, d.accounts))) == into(list, df)
def test_client_cant_add_dataset():
ec = Client('localhost:6363')
with pytest.raises(ValueError) as excinfo:
ec.add('iris', example('iris.csv'))
assert "Server does not support" in str(excinfo.value)
def test_client_add_dataset():
client.requests = test_add # OMG more monkey patching
ec = Client('localhost:6363')
ec.add('iris', example('iris.csv'))
assert 'iris' in ec.dshape.measure.dict
iris_data = bz_data(example('iris.csv'))
assert ec.dshape.measure.dict['iris'] == iris_data.dshape
def test_client_add_dataset_failure():
client.requests = test_add # OMG more monkey patching
ec = Client('localhost:6363')
with pytest.raises(ValueError) as exc:
ec.add('iris2', example('iris.csv'), -1, bad_arg='value')
assert '422 UNPROCESSABLE ENTITY' in str(exc.value)
def test_client_add_dataset_with_args():
client.requests = test_add # OMG more monkey patching
ec = Client('localhost:6363')
ec.add('teams', 'sqlite:///' + example('teams.db'), 'teams',
primary_key='teamID')
assert 'teams' in ec.dshape.measure.dict
teams_data = bz_data('sqlite:///' + example('teams.db') + '::teams')
assert ec.dshape.measure.dict['teams'] == teams_data.dshape
| bsd-3-clause |
bchappet/dnfpy | src/test_dnfpy/model/testImageColorSelection.py | 1 | 1031 | import numpy as np
import unittest
from dnfpy.model.imageColorSelection import ImageColorSelection
import matplotlib.pyplot as plt
import cv2
import dnfpy.view.staticViewMatplotlib as view
import os
def show2Img(im1,im2):
view.plotArrays(dict(im1=im1,im2=im2))
plt.show()
class TestImageColorSelection(unittest.TestCase):
def setUp(self):
path = os.path.dirname(os.path.realpath(__file__))
self.testDir =path + "/testFiles/"
self.img = cv2.imread(self.testDir + "exampleFinger.png")
self.uut = ImageColorSelection("uut",size = self.img.shape[0],
image = self.img,dt=0.1,color='red',reverseColors=False,thresh=20,
lowHSV=np.array([150,50,50]),highHSV = np.array([20,255,255]))
def test_red(self):
self.uut.compute()
show2Img(self.img,self.uut.getData())
def test_gray(self):
self.uut.setArg(color='gray')
self.uut.compute()
show2Img(self.img,self.uut.getData())
if __name__ == "__main__":
unittest.main()
| gpl-2.0 |
pablocarderam/genetargeter | gRNAScores/azimuth/predict.py | 1 | 20980 | from copy import deepcopy
from multiprocessing import Pool
from time import time
import numpy as np
from scipy.stats import spearmanr
from sklearn.metrics import roc_curve, auc
from sklearn.model_selection import StratifiedKFold
from sklearn.preprocessing import LabelEncoder
from .metrics import ndcg_at_k_ties
from .models import DNN, GP, baselines, ensembles, regression
from .util import spearmanr_nonan, concatenate_feature_sets
def fill_in_truth_and_predictions(
truth, predictions, fold, y_all, y_pred, learn_options, test
):
truth[fold]["ranks"] = np.hstack(
(
truth[fold]["ranks"],
y_all[learn_options["rank-transformed target name"]].values[test].flatten(),
)
)
truth[fold]["thrs"] = np.hstack(
(
truth[fold]["thrs"],
y_all[learn_options["binary target name"]].values[test].flatten(),
)
)
if "raw_target_name" in learn_options:
truth[fold]["raw"] = np.hstack(
(
truth[fold]["raw"],
y_all[learn_options["raw target name"]].values[test].flatten(),
)
)
predictions[fold] = np.hstack((predictions[fold], y_pred.flatten()))
return truth, predictions
def construct_filename(learn_options, TEST):
if "V" in learn_options:
filename = f"V{learn_options['V']}"
else:
filename = "offV1"
if TEST:
filename = "TEST."
filename += learn_options["method"]
filename += f'.order{learn_options["order"]}'
filename += learn_options["target_name"]
if learn_options["method"] == "linreg" and learn_options["penalty"] is not None:
filename += f".{learn_options['penalty']}"
filename += "." + learn_options["cv"]
if learn_options["training_metric"] == "NDCG":
filename += f".NDGC_{learn_options['NDGC_k']}"
elif learn_options["training_metric"] == "AUC":
filename += ".AUC"
elif learn_options["training_metric"] == "spearmanr":
filename += ".spearman"
print(f"filename = {filename}")
return filename
def extract_fpr_tpr_for_fold(aucs, y_binary, test, y_pred):
if len(np.unique(y_binary)) > 2:
raise AssertionError("if using AUC need binary targets")
fpr, tpr, _ = roc_curve(y_binary[test], y_pred)
roc_auc = auc(fpr, tpr)
aucs.append(roc_auc)
def extract_NDCG_for_fold(metrics, y_ground_truth, test, y_pred, learn_options):
NDCG_fold = ndcg_at_k_ties(
y_ground_truth[test].flatten(), y_pred.flatten(), learn_options["NDGC_k"]
)
metrics.append(NDCG_fold)
def extract_spearman_for_fold(metrics, y_ground_truth, test, y_pred):
spearman = np.nan_to_num(
spearmanr(y_ground_truth[test].flatten(), y_pred.flatten())[0]
)
if np.isnan(spearman):
raise AssertionError("found nan spearman")
metrics.append(spearman)
def get_train_test(test_gene, y_all, train_genes=None):
# this is a bit convoluted because the train_genes+test_genes may not add up to all genes
# for e.g. when we load up V3, but then use only V2, etc.
not_test = y_all.index.get_level_values("Target gene").values != test_gene
if train_genes is not None:
in_train_genes = np.zeros(not_test.shape, dtype=bool)
for t_gene in train_genes:
in_train_genes = np.logical_or(
in_train_genes,
(y_all.index.get_level_values("Target gene").values == t_gene),
)
train = np.logical_and(not_test, in_train_genes)
else:
train = not_test
# y_all['test'] as to do with extra pairs in V2
if test_gene == "dummy":
test = train
else:
test = y_all.index.get_level_values("Target gene").values == test_gene
# convert to indices
test = np.where(test)[0]
train = np.where(train)[0]
return train, test
def cross_validate(y_all, feature_sets, learn_options=None, TEST=False, CV=True):
# feature_sets is a dictionary of "set name" to pandas.DataFrame
# one set might be single-nucleotide, position-independent features of order X, for e.g.
# Method: "GPy" or "linreg"
# Metric: NDCG (learning to rank metric, Normalized Discounted Cumulative Gain); AUC
# Output: cv_score_median, gene_rocs
# When CV=False, it trains on everything (and tests on everything, just to fit the code)
# print(f"range of y_all is [{np.min(y_all[learn_options['target_name']].values)}, "
# f"{np.max(y_all[learn_options['target_name']].values)}]")
allowed_methods = [
"GPy",
"linreg",
"AdaBoostRegressor",
"AdaBoostClassifier",
"DecisionTreeRegressor",
"RandomForestRegressor",
"ARDRegression",
"mean",
"random",
"DNN",
"lasso_ensemble",
"doench",
"logregL1",
"sgrna_from_doench",
"SVC",
"xu_et_al",
]
if learn_options["method"] not in allowed_methods:
raise AssertionError("invalid method: {learn_options['method']}")
if (
learn_options["method"] != "linreg" or learn_options["penalty"] != "L2"
) and learn_options["weighted"] is not None:
raise AssertionError(
f"{learn_options['method']} {learn_options['weighted']} weighted "
f"only works with linreg L2 right now"
)
# construct filename from options
filename = construct_filename(learn_options, TEST)
print("Cross-validating genes...")
t2 = time()
y = np.array(y_all[learn_options["target_name"]].values[:, None], dtype=np.float64)
# concatenate feature sets in to one nparray, and get dimension of each
inputs, _, dimsum, feature_names = concatenate_feature_sets(feature_sets)
if not CV:
if learn_options["cv"] != "gene":
raise AssertionError(
"Must use gene-CV when CV is False (I need to use all of the "
"genes and stratified complicates that)"
)
# set-up for cross-validation
# for outer loop, the one Doench et al use genes for
if learn_options["cv"] == "stratified":
if "extra_pairs" in learn_options or learn_options["extra pairs"]:
raise AssertionError(
"can't use extra pairs with stratified CV need to figure out how to properly "
"account for genes affected by two drugs"
)
label_encoder = LabelEncoder()
label_encoder.fit(y_all["Target gene"].values)
gene_classes = label_encoder.transform(y_all["Target gene"].values)
if "n_folds" in learn_options:
n_splits = learn_options["n_folds"]
elif (
learn_options["train_genes"] is not None
and learn_options["test_genes"] is not None
):
n_splits = len(learn_options["test_genes"])
else:
n_splits = len(learn_options["all_genes"])
skf = StratifiedKFold(n_splits=n_splits, shuffle=True)
cv = skf.split(np.zeros(len(gene_classes), dtype=np.bool), gene_classes)
fold_labels = [f"fold{i:d}" for i in range(1, n_splits + 1)]
if learn_options["num_genes_remove_train"] is not None:
raise NotImplementedError
elif learn_options["cv"] == "gene":
cv = []
if not CV:
train_test_tmp = get_train_test(
"dummy", y_all
) # get train, test split using a dummy gene
# train_tmp, test_tmp = train_test_tmp
# not a typo, using training set to test on as well, just for this case.
# Test set is not used for internal cross-val, etc. anyway.
# train_test_tmp = (train_tmp, train_tmp)
cv.append(train_test_tmp)
fold_labels = ["dummy_for_no_cv"] # learn_options['all_genes']
elif (
learn_options["train_genes"] is not None
and learn_options["test_genes"] is not None
):
if (
learn_options["train_genes"] is None
or learn_options["test_genes"] is None
):
raise AssertionError("use both or neither")
for i, gene in enumerate(learn_options["test_genes"]):
cv.append(get_train_test(gene, y_all, learn_options["train_genes"]))
fold_labels = learn_options["test_genes"]
# if train and test genes are seperate, there should be only one fold
# train_test_disjoint = set.isdisjoint(set(learn_options["train_genes"].tolist()),
# set(learn_options["test_genes"].tolist()))
else:
for i, gene in enumerate(learn_options["all_genes"]):
train_test_tmp = get_train_test(gene, y_all)
cv.append(train_test_tmp)
fold_labels = learn_options["all_genes"]
if learn_options["num_genes_remove_train"] is not None:
for i, (train, test) in enumerate(cv):
unique_genes = np.random.permutation(
np.unique(np.unique(y_all["Target gene"][train]))
)
genes_to_keep = unique_genes[
0 : len(unique_genes) - learn_options["num_genes_remove_train"]
]
filtered_train = []
for j, gene in enumerate(y_all["Target gene"]):
if j in train and gene in genes_to_keep:
filtered_train.append(j)
cv_i_orig = deepcopy(cv[i])
cv[i] = (filtered_train, test)
if learn_options["num_genes_remove_train"] == 0:
if np.any(cv_i_orig[0] != cv[i][0]):
raise AssertionError()
if np.any(cv_i_orig[1] != cv[i][1]):
raise AssertionError()
print(
f"# train/train after/before is {len(cv[i][0])}, {len(cv_i_orig[0])}"
)
print(
f"# test/test after/before is {len(cv[i][1])}, {len(cv_i_orig[1])}"
)
else:
raise Exception(f"invalid cv options given: {learn_options['cv']}")
cv = [c for c in cv] # make list from generator, so can subset for TEST case
if TEST:
ind_to_use = [0] # [0,1]
cv = [cv[i] for i in ind_to_use]
fold_labels = [fold_labels[i] for i in ind_to_use]
truth = dict(
[
(t, dict([(m, np.array([])) for m in ["raw", "ranks", "thrs"]]))
for t in fold_labels
]
)
predictions = dict([(t, np.array([])) for t in fold_labels])
m = {}
metrics = []
# do the cross-validation
num_proc = learn_options["num_proc"]
X = inputs
if num_proc > 1:
num_proc = np.min([num_proc, len(cv)])
print(f"using multiprocessing with {num_proc} procs -- one for each fold")
jobs = []
pool = Pool(processes=num_proc)
for i, fold in enumerate(cv):
train, test = fold
print(
f"working on fold {i+1} of {len(cv)}, with {len(train)} train and {len(test)} test"
)
if learn_options["method"] == "GPy":
job = pool.apply_async(
GP.gp_on_fold,
args=(feature_sets, train, test, y, y_all, learn_options),
)
elif learn_options["method"] == "linreg":
job = pool.apply_async(
regression.linreg_on_fold,
args=(train, test, y, y_all, X, learn_options, fold),
)
elif learn_options["method"] == "logregL1":
job = pool.apply_async(
regression.logreg_on_fold,
args=(train, test, y, y_all, X, learn_options),
)
elif learn_options["method"] == "AdaBoostRegressor":
job = pool.apply_async(
ensembles.adaboost_on_fold,
args=(train, test, y, y_all, X, learn_options, False),
)
elif learn_options["method"] == "AdaBoostClassifier":
job = pool.apply_async(
ensembles.adaboost_on_fold,
args=(train, test, y, y_all, X, learn_options, True),
)
elif learn_options["method"] == "DecisionTreeRegressor":
job = pool.apply_async(
ensembles.decisiontree_on_fold, args=(train, test, y, X)
)
elif learn_options["method"] == "RandomForestRegressor":
job = pool.apply_async(
ensembles.randomforest_on_fold, args=(train, test, y, X)
)
elif learn_options["method"] == "ARDRegression":
job = pool.apply_async(
regression.ARDRegression_on_fold, args=(train, test, y, X)
)
elif learn_options["method"] == "random":
job = pool.apply_async(baselines.random_on_fold, args=(test))
elif learn_options["method"] == "mean":
job = pool.apply_async(baselines.mean_on_fold, args=(train, test, y))
elif learn_options["method"] == "SVC":
job = pool.apply_async(
baselines.SVC_on_fold, args=(train, test, y_all, X, learn_options)
)
elif learn_options["method"] == "DNN":
job = pool.apply_async(
DNN.DNN_on_fold, args=(train, test, y_all, X, learn_options)
)
elif learn_options["method"] == "lasso_ensemble":
job = pool.apply_async(
ensembles.LASSOs_ensemble_on_fold,
args=(feature_sets, train, test, y, y_all, X, learn_options),
)
elif learn_options["method"] == "doench":
job = pool.apply_async(
baselines.doench_on_fold,
args=(train, test, y, y_all, X, learn_options),
)
elif learn_options["method"] == "sgrna_from_doench":
job = pool.apply_async(
baselines.sgrna_from_doench_on_fold, args=(feature_sets, test, X)
)
elif learn_options["method"] == "xu_et_al":
job = pool.apply_async(
baselines.xu_et_al_on_fold, args=(test, X, learn_options)
)
else:
raise Exception(f"did not find method={learn_options['method']}")
jobs.append(job)
pool.close()
pool.join()
print(f"finished fold {i + 1}")
for i, fold in enumerate(cv): # i in range(0,len(jobs)):
y_pred, m[i] = jobs[i].get()
train, test = fold
if learn_options["training_metric"] == "AUC":
extract_fpr_tpr_for_fold(
aucs=metrics,
y_binary=y_all[learn_options["ground_truth_label"]].values,
test=test,
y_pred=y_pred,
)
elif learn_options["training_metric"] == "NDCG":
extract_NDCG_for_fold(
metrics=metrics,
y_ground_truth=y_all[learn_options["ground_truth_label"]].values,
test=test,
y_pred=y_pred,
learn_options=learn_options,
)
elif learn_options["training_metric"] == "spearmanr":
extract_spearman_for_fold(
metrics=metrics,
y_ground_truth=y_all[learn_options["ground_truth_label"]].values,
test=test,
y_pred=y_pred,
)
else:
raise Exception(
f"invalid 'training_metric' in learn_options: {learn_options['training_metric']}"
)
truth, predictions = fill_in_truth_and_predictions(
truth, predictions, fold_labels[i], y_all, y_pred, learn_options, test
)
pool.terminate()
else:
# non parallel version
for i, fold in enumerate(cv):
train, test = fold
if learn_options["method"] == "GPy":
y_pred, m[i] = GP.gp_on_fold(
feature_sets, train, test, y, y_all, learn_options
)
elif learn_options["method"] == "linreg":
y_pred, m[i] = regression.linreg_on_fold(
train, test, y, y_all, X, learn_options
)
elif learn_options["method"] == "logregL1":
y_pred, m[i] = regression.logreg_on_fold(
train, test, y, y_all, X, learn_options
)
elif learn_options["method"] == "AdaBoostRegressor":
y_pred, m[i] = ensembles.adaboost_on_fold(
train, test, y, y_all, X, learn_options, classification=False
)
elif learn_options["method"] == "AdaBoostClassifier":
y_pred, m[i] = ensembles.adaboost_on_fold(
train, test, y, y_all, X, learn_options, classification=True
)
elif learn_options["method"] == "DecisionTreeRegressor":
y_pred, m[i] = ensembles.decisiontree_on_fold(train, test, y, X)
elif learn_options["method"] == "RandomForestRegressor":
y_pred, m[i] = ensembles.randomforest_on_fold(train, test, y, X)
elif learn_options["method"] == "ARDRegression":
y_pred, m[i] = regression.ARDRegression_on_fold(train, test, y, X)
elif learn_options["method"] == "random":
y_pred, m[i] = baselines.random_on_fold(test)
elif learn_options["method"] == "mean":
y_pred, m[i] = baselines.mean_on_fold(train, test, y)
elif learn_options["method"] == "SVC":
y_pred, m[i] = baselines.SVC_on_fold(
train, test, y_all, X, learn_options
)
elif learn_options["method"] == "DNN":
y_pred, m[i] = DNN.DNN_on_fold(train, test, y_all, X, learn_options)
elif learn_options["method"] == "lasso_ensemble":
y_pred, m[i] = ensembles.LASSOs_ensemble_on_fold(
feature_sets, train, test, y, y_all, X, learn_options
)
elif learn_options["method"] == "doench":
y_pred, m[i] = baselines.doench_on_fold(
train, test, y, y_all, X, learn_options
)
elif learn_options["method"] == "sgrna_from_doench":
y_pred, m[i] = baselines.sgrna_from_doench_on_fold(
feature_sets, test, X
)
elif learn_options["method"] == "xu_et_al":
y_pred, m[i] = baselines.xu_et_al_on_fold(test, X, learn_options)
else:
raise Exception(f"invalid method found: {learn_options['method']}")
if learn_options["training_metric"] == "AUC":
# fills in truth and predictions
extract_fpr_tpr_for_fold(
aucs=metrics,
y_binary=y_all[learn_options["ground_truth_label"]].values,
test=test,
y_pred=y_pred,
)
elif learn_options["training_metric"] == "NDCG":
extract_NDCG_for_fold(
metrics=metrics,
y_ground_truth=y_all[learn_options["ground_truth_label"]].values,
test=test,
y_pred=y_pred,
learn_options=learn_options,
)
elif learn_options["training_metric"] == "spearmanr":
extract_spearman_for_fold(
metrics=metrics,
y_ground_truth=y_all[learn_options["ground_truth_label"]].values,
test=test,
y_pred=y_pred,
)
truth, predictions = fill_in_truth_and_predictions(
truth, predictions, fold_labels[i], y_all, y_pred, learn_options, test
)
print(f"\t\tRMSE: {np.sqrt(((y_pred - y[test]) ** 2).mean())}")
print(
f"\t\tSpearman correlation: {np.nan_to_num(spearmanr_nonan(y[test], y_pred)[0])}"
)
print(f"\t\tfinished fold/gene {i + 1} of {len(fold_labels)}")
cv_median_metric = [np.median(metrics)]
gene_pred = [(truth, predictions)]
print(
f"\t\tmedian {learn_options['training_metric']} across gene folds: {cv_median_metric[-1]:.3f}"
)
t3 = time()
print(f"\t\tElapsed time for cv is {(t3 - t2):.{2}} seconds")
return metrics, gene_pred, fold_labels, m, dimsum, filename, feature_names
| mit |
jstoxrocky/statsmodels | statsmodels/graphics/tests/test_factorplots.py | 27 | 1513 | import numpy as np
from nose import SkipTest
from pandas import Series
from statsmodels.graphics.factorplots import interaction_plot
try:
import matplotlib.pyplot as plt
import matplotlib
have_matplotlib = True
except ImportError:
have_matplotlib = False
class TestInteractionPlot(object):
@classmethod
def setupClass(cls):
if not have_matplotlib:
raise SkipTest('matplotlib not available')
np.random.seed(12345)
cls.weight = np.random.randint(1,4,size=60)
cls.duration = np.random.randint(1,3,size=60)
cls.days = np.log(np.random.randint(1,30, size=60))
def test_plot_both(self):
fig = interaction_plot(self.weight, self.duration, self.days,
colors=['red','blue'], markers=['D','^'], ms=10)
plt.close(fig)
def test_plot_rainbow(self):
fig = interaction_plot(self.weight, self.duration, self.days,
markers=['D','^'], ms=10)
plt.close(fig)
def test_plot_pandas(self):
weight = Series(self.weight, name='Weight')
duration = Series(self.duration, name='Duration')
days = Series(self.days, name='Days')
fig = interaction_plot(weight, duration, days,
markers=['D','^'], ms=10)
ax = fig.axes[0]
trace = ax.get_legend().get_title().get_text()
assert trace == 'Duration'
assert ax.get_ylabel() == 'mean of Days'
assert ax.get_xlabel() == 'Weight'
plt.close(fig)
| bsd-3-clause |
RomainBrault/scikit-learn | sklearn/preprocessing/label.py | 28 | 28237 | # Authors: Alexandre Gramfort <[email protected]>
# Mathieu Blondel <[email protected]>
# Olivier Grisel <[email protected]>
# Andreas Mueller <[email protected]>
# Joel Nothman <[email protected]>
# Hamzeh Alsalhi <[email protected]>
# License: BSD 3 clause
from collections import defaultdict
import itertools
import array
import numpy as np
import scipy.sparse as sp
from ..base import BaseEstimator, TransformerMixin
from ..utils.fixes import np_version
from ..utils.fixes import sparse_min_max
from ..utils.fixes import astype
from ..utils.fixes import in1d
from ..utils import column_or_1d
from ..utils.validation import check_array
from ..utils.validation import check_is_fitted
from ..utils.validation import _num_samples
from ..utils.multiclass import unique_labels
from ..utils.multiclass import type_of_target
from ..externals import six
zip = six.moves.zip
map = six.moves.map
__all__ = [
'label_binarize',
'LabelBinarizer',
'LabelEncoder',
'MultiLabelBinarizer',
]
def _check_numpy_unicode_bug(labels):
"""Check that user is not subject to an old numpy bug
Fixed in master before 1.7.0:
https://github.com/numpy/numpy/pull/243
"""
if np_version[:3] < (1, 7, 0) and labels.dtype.kind == 'U':
raise RuntimeError("NumPy < 1.7.0 does not implement searchsorted"
" on unicode data correctly. Please upgrade"
" NumPy to use LabelEncoder with unicode inputs.")
class LabelEncoder(BaseEstimator, TransformerMixin):
"""Encode labels with value between 0 and n_classes-1.
Read more in the :ref:`User Guide <preprocessing_targets>`.
Attributes
----------
classes_ : array of shape (n_class,)
Holds the label for each class.
Examples
--------
`LabelEncoder` can be used to normalize labels.
>>> from sklearn import preprocessing
>>> le = preprocessing.LabelEncoder()
>>> le.fit([1, 2, 2, 6])
LabelEncoder()
>>> le.classes_
array([1, 2, 6])
>>> le.transform([1, 1, 2, 6]) #doctest: +ELLIPSIS
array([0, 0, 1, 2]...)
>>> le.inverse_transform([0, 0, 1, 2])
array([1, 1, 2, 6])
It can also be used to transform non-numerical labels (as long as they are
hashable and comparable) to numerical labels.
>>> le = preprocessing.LabelEncoder()
>>> le.fit(["paris", "paris", "tokyo", "amsterdam"])
LabelEncoder()
>>> list(le.classes_)
['amsterdam', 'paris', 'tokyo']
>>> le.transform(["tokyo", "tokyo", "paris"]) #doctest: +ELLIPSIS
array([2, 2, 1]...)
>>> list(le.inverse_transform([2, 2, 1]))
['tokyo', 'tokyo', 'paris']
See also
--------
sklearn.preprocessing.OneHotEncoder : encode categorical integer features
using a one-hot aka one-of-K scheme.
"""
def fit(self, y):
"""Fit label encoder
Parameters
----------
y : array-like of shape (n_samples,)
Target values.
Returns
-------
self : returns an instance of self.
"""
y = column_or_1d(y, warn=True)
_check_numpy_unicode_bug(y)
self.classes_ = np.unique(y)
return self
def fit_transform(self, y):
"""Fit label encoder and return encoded labels
Parameters
----------
y : array-like of shape [n_samples]
Target values.
Returns
-------
y : array-like of shape [n_samples]
"""
y = column_or_1d(y, warn=True)
_check_numpy_unicode_bug(y)
self.classes_, y = np.unique(y, return_inverse=True)
return y
def transform(self, y):
"""Transform labels to normalized encoding.
Parameters
----------
y : array-like of shape [n_samples]
Target values.
Returns
-------
y : array-like of shape [n_samples]
"""
check_is_fitted(self, 'classes_')
y = column_or_1d(y, warn=True)
classes = np.unique(y)
_check_numpy_unicode_bug(classes)
if len(np.intersect1d(classes, self.classes_)) < len(classes):
diff = np.setdiff1d(classes, self.classes_)
raise ValueError("y contains new labels: %s" % str(diff))
return np.searchsorted(self.classes_, y)
def inverse_transform(self, y):
"""Transform labels back to original encoding.
Parameters
----------
y : numpy array of shape [n_samples]
Target values.
Returns
-------
y : numpy array of shape [n_samples]
"""
check_is_fitted(self, 'classes_')
diff = np.setdiff1d(y, np.arange(len(self.classes_)))
if diff:
raise ValueError("y contains new labels: %s" % str(diff))
y = np.asarray(y)
return self.classes_[y]
class LabelBinarizer(BaseEstimator, TransformerMixin):
"""Binarize labels in a one-vs-all fashion
Several regression and binary classification algorithms are
available in the scikit. A simple way to extend these algorithms
to the multi-class classification case is to use the so-called
one-vs-all scheme.
At learning time, this simply consists in learning one regressor
or binary classifier per class. In doing so, one needs to convert
multi-class labels to binary labels (belong or does not belong
to the class). LabelBinarizer makes this process easy with the
transform method.
At prediction time, one assigns the class for which the corresponding
model gave the greatest confidence. LabelBinarizer makes this easy
with the inverse_transform method.
Read more in the :ref:`User Guide <preprocessing_targets>`.
Parameters
----------
neg_label : int (default: 0)
Value with which negative labels must be encoded.
pos_label : int (default: 1)
Value with which positive labels must be encoded.
sparse_output : boolean (default: False)
True if the returned array from transform is desired to be in sparse
CSR format.
Attributes
----------
classes_ : array of shape [n_class]
Holds the label for each class.
y_type_ : str,
Represents the type of the target data as evaluated by
utils.multiclass.type_of_target. Possible type are 'continuous',
'continuous-multioutput', 'binary', 'multiclass',
'multiclass-multioutput', 'multilabel-indicator', and 'unknown'.
sparse_input_ : boolean,
True if the input data to transform is given as a sparse matrix, False
otherwise.
Examples
--------
>>> from sklearn import preprocessing
>>> lb = preprocessing.LabelBinarizer()
>>> lb.fit([1, 2, 6, 4, 2])
LabelBinarizer(neg_label=0, pos_label=1, sparse_output=False)
>>> lb.classes_
array([1, 2, 4, 6])
>>> lb.transform([1, 6])
array([[1, 0, 0, 0],
[0, 0, 0, 1]])
Binary targets transform to a column vector
>>> lb = preprocessing.LabelBinarizer()
>>> lb.fit_transform(['yes', 'no', 'no', 'yes'])
array([[1],
[0],
[0],
[1]])
Passing a 2D matrix for multilabel classification
>>> import numpy as np
>>> lb.fit(np.array([[0, 1, 1], [1, 0, 0]]))
LabelBinarizer(neg_label=0, pos_label=1, sparse_output=False)
>>> lb.classes_
array([0, 1, 2])
>>> lb.transform([0, 1, 2, 1])
array([[1, 0, 0],
[0, 1, 0],
[0, 0, 1],
[0, 1, 0]])
See also
--------
label_binarize : function to perform the transform operation of
LabelBinarizer with fixed classes.
sklearn.preprocessing.OneHotEncoder : encode categorical integer features
using a one-hot aka one-of-K scheme.
"""
def __init__(self, neg_label=0, pos_label=1, sparse_output=False):
if neg_label >= pos_label:
raise ValueError("neg_label={0} must be strictly less than "
"pos_label={1}.".format(neg_label, pos_label))
if sparse_output and (pos_label == 0 or neg_label != 0):
raise ValueError("Sparse binarization is only supported with non "
"zero pos_label and zero neg_label, got "
"pos_label={0} and neg_label={1}"
"".format(pos_label, neg_label))
self.neg_label = neg_label
self.pos_label = pos_label
self.sparse_output = sparse_output
def fit(self, y):
"""Fit label binarizer
Parameters
----------
y : array of shape [n_samples,] or [n_samples, n_classes]
Target values. The 2-d matrix should only contain 0 and 1,
represents multilabel classification.
Returns
-------
self : returns an instance of self.
"""
self.y_type_ = type_of_target(y)
if 'multioutput' in self.y_type_:
raise ValueError("Multioutput target data is not supported with "
"label binarization")
if _num_samples(y) == 0:
raise ValueError('y has 0 samples: %r' % y)
self.sparse_input_ = sp.issparse(y)
self.classes_ = unique_labels(y)
return self
def fit_transform(self, y):
"""Fit label binarizer and transform multi-class labels to binary
labels.
The output of transform is sometimes referred to as
the 1-of-K coding scheme.
Parameters
----------
y : array or sparse matrix of shape [n_samples,] or \
[n_samples, n_classes]
Target values. The 2-d matrix should only contain 0 and 1,
represents multilabel classification. Sparse matrix can be
CSR, CSC, COO, DOK, or LIL.
Returns
-------
Y : array or CSR matrix of shape [n_samples, n_classes]
Shape will be [n_samples, 1] for binary problems.
"""
return self.fit(y).transform(y)
def transform(self, y):
"""Transform multi-class labels to binary labels
The output of transform is sometimes referred to by some authors as
the 1-of-K coding scheme.
Parameters
----------
y : array or sparse matrix of shape [n_samples,] or \
[n_samples, n_classes]
Target values. The 2-d matrix should only contain 0 and 1,
represents multilabel classification. Sparse matrix can be
CSR, CSC, COO, DOK, or LIL.
Returns
-------
Y : numpy array or CSR matrix of shape [n_samples, n_classes]
Shape will be [n_samples, 1] for binary problems.
"""
check_is_fitted(self, 'classes_')
y_is_multilabel = type_of_target(y).startswith('multilabel')
if y_is_multilabel and not self.y_type_.startswith('multilabel'):
raise ValueError("The object was not fitted with multilabel"
" input.")
return label_binarize(y, self.classes_,
pos_label=self.pos_label,
neg_label=self.neg_label,
sparse_output=self.sparse_output)
def inverse_transform(self, Y, threshold=None):
"""Transform binary labels back to multi-class labels
Parameters
----------
Y : numpy array or sparse matrix with shape [n_samples, n_classes]
Target values. All sparse matrices are converted to CSR before
inverse transformation.
threshold : float or None
Threshold used in the binary and multi-label cases.
Use 0 when:
- Y contains the output of decision_function (classifier)
Use 0.5 when:
- Y contains the output of predict_proba
If None, the threshold is assumed to be half way between
neg_label and pos_label.
Returns
-------
y : numpy array or CSR matrix of shape [n_samples] Target values.
Notes
-----
In the case when the binary labels are fractional
(probabilistic), inverse_transform chooses the class with the
greatest value. Typically, this allows to use the output of a
linear model's decision_function method directly as the input
of inverse_transform.
"""
check_is_fitted(self, 'classes_')
if threshold is None:
threshold = (self.pos_label + self.neg_label) / 2.
if self.y_type_ == "multiclass":
y_inv = _inverse_binarize_multiclass(Y, self.classes_)
else:
y_inv = _inverse_binarize_thresholding(Y, self.y_type_,
self.classes_, threshold)
if self.sparse_input_:
y_inv = sp.csr_matrix(y_inv)
elif sp.issparse(y_inv):
y_inv = y_inv.toarray()
return y_inv
def label_binarize(y, classes, neg_label=0, pos_label=1, sparse_output=False):
"""Binarize labels in a one-vs-all fashion
Several regression and binary classification algorithms are
available in the scikit. A simple way to extend these algorithms
to the multi-class classification case is to use the so-called
one-vs-all scheme.
This function makes it possible to compute this transformation for a
fixed set of class labels known ahead of time.
Parameters
----------
y : array-like
Sequence of integer labels or multilabel data to encode.
classes : array-like of shape [n_classes]
Uniquely holds the label for each class.
neg_label : int (default: 0)
Value with which negative labels must be encoded.
pos_label : int (default: 1)
Value with which positive labels must be encoded.
sparse_output : boolean (default: False),
Set to true if output binary array is desired in CSR sparse format
Returns
-------
Y : numpy array or CSR matrix of shape [n_samples, n_classes]
Shape will be [n_samples, 1] for binary problems.
Examples
--------
>>> from sklearn.preprocessing import label_binarize
>>> label_binarize([1, 6], classes=[1, 2, 4, 6])
array([[1, 0, 0, 0],
[0, 0, 0, 1]])
The class ordering is preserved:
>>> label_binarize([1, 6], classes=[1, 6, 4, 2])
array([[1, 0, 0, 0],
[0, 1, 0, 0]])
Binary targets transform to a column vector
>>> label_binarize(['yes', 'no', 'no', 'yes'], classes=['no', 'yes'])
array([[1],
[0],
[0],
[1]])
See also
--------
LabelBinarizer : class used to wrap the functionality of label_binarize and
allow for fitting to classes independently of the transform operation
"""
if not isinstance(y, list):
# XXX Workaround that will be removed when list of list format is
# dropped
y = check_array(y, accept_sparse='csr', ensure_2d=False, dtype=None)
else:
if _num_samples(y) == 0:
raise ValueError('y has 0 samples: %r' % y)
if neg_label >= pos_label:
raise ValueError("neg_label={0} must be strictly less than "
"pos_label={1}.".format(neg_label, pos_label))
if (sparse_output and (pos_label == 0 or neg_label != 0)):
raise ValueError("Sparse binarization is only supported with non "
"zero pos_label and zero neg_label, got "
"pos_label={0} and neg_label={1}"
"".format(pos_label, neg_label))
# To account for pos_label == 0 in the dense case
pos_switch = pos_label == 0
if pos_switch:
pos_label = -neg_label
y_type = type_of_target(y)
if 'multioutput' in y_type:
raise ValueError("Multioutput target data is not supported with label "
"binarization")
if y_type == 'unknown':
raise ValueError("The type of target data is not known")
n_samples = y.shape[0] if sp.issparse(y) else len(y)
n_classes = len(classes)
classes = np.asarray(classes)
if y_type == "binary":
if n_classes == 1:
if sparse_output:
return sp.csr_matrix((n_samples, 1), dtype=int)
else:
Y = np.zeros((len(y), 1), dtype=np.int)
Y += neg_label
return Y
elif len(classes) >= 3:
y_type = "multiclass"
sorted_class = np.sort(classes)
if (y_type == "multilabel-indicator" and classes.size != y.shape[1]):
raise ValueError("classes {0} missmatch with the labels {1}"
"found in the data".format(classes, unique_labels(y)))
if y_type in ("binary", "multiclass"):
y = column_or_1d(y)
# pick out the known labels from y
y_in_classes = in1d(y, classes)
y_seen = y[y_in_classes]
indices = np.searchsorted(sorted_class, y_seen)
indptr = np.hstack((0, np.cumsum(y_in_classes)))
data = np.empty_like(indices)
data.fill(pos_label)
Y = sp.csr_matrix((data, indices, indptr),
shape=(n_samples, n_classes))
elif y_type == "multilabel-indicator":
Y = sp.csr_matrix(y)
if pos_label != 1:
data = np.empty_like(Y.data)
data.fill(pos_label)
Y.data = data
else:
raise ValueError("%s target data is not supported with label "
"binarization" % y_type)
if not sparse_output:
Y = Y.toarray()
Y = astype(Y, int, copy=False)
if neg_label != 0:
Y[Y == 0] = neg_label
if pos_switch:
Y[Y == pos_label] = 0
else:
Y.data = astype(Y.data, int, copy=False)
# preserve label ordering
if np.any(classes != sorted_class):
indices = np.searchsorted(sorted_class, classes)
Y = Y[:, indices]
if y_type == "binary":
if sparse_output:
Y = Y.getcol(-1)
else:
Y = Y[:, -1].reshape((-1, 1))
return Y
def _inverse_binarize_multiclass(y, classes):
"""Inverse label binarization transformation for multiclass.
Multiclass uses the maximal score instead of a threshold.
"""
classes = np.asarray(classes)
if sp.issparse(y):
# Find the argmax for each row in y where y is a CSR matrix
y = y.tocsr()
n_samples, n_outputs = y.shape
outputs = np.arange(n_outputs)
row_max = sparse_min_max(y, 1)[1]
row_nnz = np.diff(y.indptr)
y_data_repeated_max = np.repeat(row_max, row_nnz)
# picks out all indices obtaining the maximum per row
y_i_all_argmax = np.flatnonzero(y_data_repeated_max == y.data)
# For corner case where last row has a max of 0
if row_max[-1] == 0:
y_i_all_argmax = np.append(y_i_all_argmax, [len(y.data)])
# Gets the index of the first argmax in each row from y_i_all_argmax
index_first_argmax = np.searchsorted(y_i_all_argmax, y.indptr[:-1])
# first argmax of each row
y_ind_ext = np.append(y.indices, [0])
y_i_argmax = y_ind_ext[y_i_all_argmax[index_first_argmax]]
# Handle rows of all 0
y_i_argmax[np.where(row_nnz == 0)[0]] = 0
# Handles rows with max of 0 that contain negative numbers
samples = np.arange(n_samples)[(row_nnz > 0) &
(row_max.ravel() == 0)]
for i in samples:
ind = y.indices[y.indptr[i]:y.indptr[i + 1]]
y_i_argmax[i] = classes[np.setdiff1d(outputs, ind)][0]
return classes[y_i_argmax]
else:
return classes.take(y.argmax(axis=1), mode="clip")
def _inverse_binarize_thresholding(y, output_type, classes, threshold):
"""Inverse label binarization transformation using thresholding."""
if output_type == "binary" and y.ndim == 2 and y.shape[1] > 2:
raise ValueError("output_type='binary', but y.shape = {0}".
format(y.shape))
if output_type != "binary" and y.shape[1] != len(classes):
raise ValueError("The number of class is not equal to the number of "
"dimension of y.")
classes = np.asarray(classes)
# Perform thresholding
if sp.issparse(y):
if threshold > 0:
if y.format not in ('csr', 'csc'):
y = y.tocsr()
y.data = np.array(y.data > threshold, dtype=np.int)
y.eliminate_zeros()
else:
y = np.array(y.toarray() > threshold, dtype=np.int)
else:
y = np.array(y > threshold, dtype=np.int)
# Inverse transform data
if output_type == "binary":
if sp.issparse(y):
y = y.toarray()
if y.ndim == 2 and y.shape[1] == 2:
return classes[y[:, 1]]
else:
if len(classes) == 1:
return np.repeat(classes[0], len(y))
else:
return classes[y.ravel()]
elif output_type == "multilabel-indicator":
return y
else:
raise ValueError("{0} format is not supported".format(output_type))
class MultiLabelBinarizer(BaseEstimator, TransformerMixin):
"""Transform between iterable of iterables and a multilabel format
Although a list of sets or tuples is a very intuitive format for multilabel
data, it is unwieldy to process. This transformer converts between this
intuitive format and the supported multilabel format: a (samples x classes)
binary matrix indicating the presence of a class label.
Parameters
----------
classes : array-like of shape [n_classes] (optional)
Indicates an ordering for the class labels
sparse_output : boolean (default: False),
Set to true if output binary array is desired in CSR sparse format
Attributes
----------
classes_ : array of labels
A copy of the `classes` parameter where provided,
or otherwise, the sorted set of classes found when fitting.
Examples
--------
>>> from sklearn.preprocessing import MultiLabelBinarizer
>>> mlb = MultiLabelBinarizer()
>>> mlb.fit_transform([(1, 2), (3,)])
array([[1, 1, 0],
[0, 0, 1]])
>>> mlb.classes_
array([1, 2, 3])
>>> mlb.fit_transform([set(['sci-fi', 'thriller']), set(['comedy'])])
array([[0, 1, 1],
[1, 0, 0]])
>>> list(mlb.classes_)
['comedy', 'sci-fi', 'thriller']
See also
--------
sklearn.preprocessing.OneHotEncoder : encode categorical integer features
using a one-hot aka one-of-K scheme.
"""
def __init__(self, classes=None, sparse_output=False):
self.classes = classes
self.sparse_output = sparse_output
def fit(self, y):
"""Fit the label sets binarizer, storing `classes_`
Parameters
----------
y : iterable of iterables
A set of labels (any orderable and hashable object) for each
sample. If the `classes` parameter is set, `y` will not be
iterated.
Returns
-------
self : returns this MultiLabelBinarizer instance
"""
if self.classes is None:
classes = sorted(set(itertools.chain.from_iterable(y)))
else:
classes = self.classes
dtype = np.int if all(isinstance(c, int) for c in classes) else object
self.classes_ = np.empty(len(classes), dtype=dtype)
self.classes_[:] = classes
return self
def fit_transform(self, y):
"""Fit the label sets binarizer and transform the given label sets
Parameters
----------
y : iterable of iterables
A set of labels (any orderable and hashable object) for each
sample. If the `classes` parameter is set, `y` will not be
iterated.
Returns
-------
y_indicator : array or CSR matrix, shape (n_samples, n_classes)
A matrix such that `y_indicator[i, j] = 1` iff `classes_[j]` is in
`y[i]`, and 0 otherwise.
"""
if self.classes is not None:
return self.fit(y).transform(y)
# Automatically increment on new class
class_mapping = defaultdict(int)
class_mapping.default_factory = class_mapping.__len__
yt = self._transform(y, class_mapping)
# sort classes and reorder columns
tmp = sorted(class_mapping, key=class_mapping.get)
# (make safe for tuples)
dtype = np.int if all(isinstance(c, int) for c in tmp) else object
class_mapping = np.empty(len(tmp), dtype=dtype)
class_mapping[:] = tmp
self.classes_, inverse = np.unique(class_mapping, return_inverse=True)
# ensure yt.indices keeps its current dtype
yt.indices = np.array(inverse[yt.indices], dtype=yt.indices.dtype,
copy=False)
if not self.sparse_output:
yt = yt.toarray()
return yt
def transform(self, y):
"""Transform the given label sets
Parameters
----------
y : iterable of iterables
A set of labels (any orderable and hashable object) for each
sample. If the `classes` parameter is set, `y` will not be
iterated.
Returns
-------
y_indicator : array or CSR matrix, shape (n_samples, n_classes)
A matrix such that `y_indicator[i, j] = 1` iff `classes_[j]` is in
`y[i]`, and 0 otherwise.
"""
check_is_fitted(self, 'classes_')
class_to_index = dict(zip(self.classes_, range(len(self.classes_))))
yt = self._transform(y, class_to_index)
if not self.sparse_output:
yt = yt.toarray()
return yt
def _transform(self, y, class_mapping):
"""Transforms the label sets with a given mapping
Parameters
----------
y : iterable of iterables
class_mapping : Mapping
Maps from label to column index in label indicator matrix
Returns
-------
y_indicator : sparse CSR matrix, shape (n_samples, n_classes)
Label indicator matrix
"""
indices = array.array('i')
indptr = array.array('i', [0])
for labels in y:
indices.extend(set(class_mapping[label] for label in labels))
indptr.append(len(indices))
data = np.ones(len(indices), dtype=int)
return sp.csr_matrix((data, indices, indptr),
shape=(len(indptr) - 1, len(class_mapping)))
def inverse_transform(self, yt):
"""Transform the given indicator matrix into label sets
Parameters
----------
yt : array or sparse matrix of shape (n_samples, n_classes)
A matrix containing only 1s ands 0s.
Returns
-------
y : list of tuples
The set of labels for each sample such that `y[i]` consists of
`classes_[j]` for each `yt[i, j] == 1`.
"""
check_is_fitted(self, 'classes_')
if yt.shape[1] != len(self.classes_):
raise ValueError('Expected indicator for {0} classes, but got {1}'
.format(len(self.classes_), yt.shape[1]))
if sp.issparse(yt):
yt = yt.tocsr()
if len(yt.data) != 0 and len(np.setdiff1d(yt.data, [0, 1])) > 0:
raise ValueError('Expected only 0s and 1s in label indicator.')
return [tuple(self.classes_.take(yt.indices[start:end]))
for start, end in zip(yt.indptr[:-1], yt.indptr[1:])]
else:
unexpected = np.setdiff1d(yt, [0, 1])
if len(unexpected) > 0:
raise ValueError('Expected only 0s and 1s in label indicator. '
'Also got {0}'.format(unexpected))
return [tuple(self.classes_.compress(indicators)) for indicators
in yt]
| bsd-3-clause |
dhutchis/systemml | src/main/python/systemml/mlcontext.py | 1 | 26980 | #-------------------------------------------------------------
#
# Licensed to the Apache Software Foundation (ASF) under one
# or more contributor license agreements. See the NOTICE file
# distributed with this work for additional information
# regarding copyright ownership. The ASF licenses this file
# to you under the Apache License, Version 2.0 (the
# "License"); you may not use this file except in compliance
# with the License. You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing,
# software distributed under the License is distributed on an
# "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
# KIND, either express or implied. See the License for the
# specific language governing permissions and limitations
# under the License.
#
#-------------------------------------------------------------
# Methods to create Script object
script_factory_methods = [ 'dml', 'pydml', 'dmlFromResource', 'pydmlFromResource', 'dmlFromFile', 'pydmlFromFile', 'dmlFromUrl', 'pydmlFromUrl' ]
# Utility methods
util_methods = [ 'jvm_stdout', '_java2py', 'getHopDAG' ]
__all__ = ['MLResults', 'MLContext', 'Script', 'Matrix' ] + script_factory_methods + util_methods
import os
import numpy as np
import pandas as pd
import threading, time
try:
import py4j.java_gateway
from py4j.java_gateway import JavaObject
from pyspark import SparkContext
from pyspark.conf import SparkConf
import pyspark.mllib.common
from pyspark.sql import SparkSession
except ImportError:
raise ImportError('Unable to import `pyspark`. Hint: Make sure you are running with PySpark.')
from .converters import *
from .classloader import *
_loadedSystemML = False
def _get_spark_context():
"""
Internal method to get already initialized SparkContext. Developers should always use
_get_spark_context() instead of SparkContext._active_spark_context to ensure SystemML loaded.
Returns
-------
sc: SparkContext
SparkContext
"""
if SparkContext._active_spark_context is not None:
sc = SparkContext._active_spark_context
global _loadedSystemML
if not _loadedSystemML:
createJavaObject(sc, 'dummy')
_loadedSystemML = True
return sc
else:
raise Exception('Expected spark context to be created.')
# This is useful utility class to get the output of the driver JVM from within a Jupyter notebook
# Example usage:
# with jvm_stdout():
# ml.execute(script)
class jvm_stdout(object):
"""
This is useful utility class to get the output of the driver JVM from within a Jupyter notebook
Parameters
----------
parallel_flush: boolean
Should flush the stdout in parallel
"""
def __init__(self, parallel_flush=False):
self.util = _get_spark_context()._jvm.org.apache.sysml.api.ml.Utils()
self.parallel_flush = parallel_flush
self.t = threading.Thread(target=self.flush_stdout)
self.stop = False
def flush_stdout(self):
while not self.stop:
time.sleep(1) # flush stdout every 1 second
str = self.util.flushStdOut()
if str != '':
str = str[:-1] if str.endswith('\n') else str
print(str)
def __enter__(self):
self.util.startRedirectStdOut()
if self.parallel_flush:
self.t.start()
def __exit__(self, *args):
if self.parallel_flush:
self.stop = True
self.t.join()
print(self.util.stopRedirectStdOut())
def getHopDAG(ml, script, lines=None, conf=None, apply_rewrites=True, with_subgraph=False):
"""
Compile a DML / PyDML script.
Parameters
----------
ml: MLContext instance
MLContext instance.
script: Script instance
Script instance defined with the appropriate input and output variables.
lines: list of integers
Optional: only display the hops that have begin and end line number equals to the given integers.
conf: SparkConf instance
Optional spark configuration
apply_rewrites: boolean
If True, perform static rewrites, perform intra-/inter-procedural analysis to propagate size information into functions and apply dynamic rewrites
with_subgraph: boolean
If False, the dot graph will be created without subgraphs for statement blocks.
Returns
-------
hopDAG: string
hop DAG in dot format
"""
if not isinstance(script, Script):
raise ValueError("Expected script to be an instance of Script")
scriptString = script.scriptString
script_java = script.script_java
lines = [ int(x) for x in lines ] if lines is not None else [int(-1)]
sc = _get_spark_context()
if conf is not None:
hopDAG = sc._jvm.org.apache.sysml.api.mlcontext.MLContextUtil.getHopDAG(ml._ml, script_java, lines, conf._jconf, apply_rewrites, with_subgraph)
else:
hopDAG = sc._jvm.org.apache.sysml.api.mlcontext.MLContextUtil.getHopDAG(ml._ml, script_java, lines, apply_rewrites, with_subgraph)
return hopDAG
def dml(scriptString):
"""
Create a dml script object based on a string.
Parameters
----------
scriptString: string
Can be a path to a dml script or a dml script itself.
Returns
-------
script: Script instance
Instance of a script object.
"""
if not isinstance(scriptString, str):
raise ValueError("scriptString should be a string, got %s" % type(scriptString))
return Script(scriptString, scriptType="dml")
def dmlFromResource(resourcePath):
"""
Create a dml script object based on a resource path.
Parameters
----------
resourcePath: string
Path to a dml script on the classpath.
Returns
-------
script: Script instance
Instance of a script object.
"""
if not isinstance(resourcePath, str):
raise ValueError("resourcePath should be a string, got %s" % type(resourcePath))
return Script(resourcePath, scriptType="dml", isResource=True)
def pydml(scriptString):
"""
Create a pydml script object based on a string.
Parameters
----------
scriptString: string
Can be a path to a pydml script or a pydml script itself.
Returns
-------
script: Script instance
Instance of a script object.
"""
if not isinstance(scriptString, str):
raise ValueError("scriptString should be a string, got %s" % type(scriptString))
return Script(scriptString, scriptType="pydml")
def pydmlFromResource(resourcePath):
"""
Create a pydml script object based on a resource path.
Parameters
----------
resourcePath: string
Path to a pydml script on the classpath.
Returns
-------
script: Script instance
Instance of a script object.
"""
if not isinstance(resourcePath, str):
raise ValueError("resourcePath should be a string, got %s" % type(resourcePath))
return Script(resourcePath, scriptType="pydml", isResource=True)
def dmlFromFile(filePath):
"""
Create a dml script object based on a file path.
Parameters
----------
filePath: string
Path to a dml script.
Returns
-------
script: Script instance
Instance of a script object.
"""
if not isinstance(filePath, str):
raise ValueError("filePath should be a string, got %s" % type(filePath))
return Script(filePath, scriptType="dml", isResource=False, scriptFormat="file")
def pydmlFromFile(filePath):
"""
Create a pydml script object based on a file path.
Parameters
----------
filePath: string
Path to a pydml script.
Returns
-------
script: Script instance
Instance of a script object.
"""
if not isinstance(filePath, str):
raise ValueError("filePath should be a string, got %s" % type(filePath))
return Script(filePath, scriptType="pydml", isResource=False, scriptFormat="file")
def dmlFromUrl(url):
"""
Create a dml script object based on a url.
Parameters
----------
url: string
URL to a dml script.
Returns
-------
script: Script instance
Instance of a script object.
"""
if not isinstance(url, str):
raise ValueError("url should be a string, got %s" % type(url))
return Script(url, scriptType="dml", isResource=False, scriptFormat="url")
def pydmlFromUrl(url):
"""
Create a pydml script object based on a url.
Parameters
----------
url: string
URL to a pydml script.
Returns
-------
script: Script instance
Instance of a script object.
"""
if not isinstance(url, str):
raise ValueError("url should be a string, got %s" % type(url))
return Script(url, scriptType="pydml", isResource=False, scriptFormat="url")
def _java2py(sc, obj):
""" Convert Java object to Python. """
# TODO: Port this private PySpark function.
obj = pyspark.mllib.common._java2py(sc, obj)
if isinstance(obj, JavaObject):
class_name = obj.getClass().getSimpleName()
if class_name == 'Matrix':
obj = Matrix(obj, sc)
return obj
def _py2java(sc, obj):
""" Convert Python object to Java. """
if isinstance(obj, SUPPORTED_TYPES):
obj = convertToMatrixBlock(sc, obj)
else:
if isinstance(obj, Matrix):
obj = obj._java_matrix
# TODO: Port this private PySpark function.
obj = pyspark.mllib.common._py2java(sc, obj)
return obj
class Matrix(object):
"""
Wrapper around a Java Matrix object.
Parameters
----------
javaMatrix: JavaObject
A Java Matrix object as returned by calling `ml.execute().get()`.
sc: SparkContext
SparkContext
"""
def __init__(self, javaMatrix, sc):
self._java_matrix = javaMatrix
self._sc = sc
def __repr__(self):
return "Matrix"
def toDF(self):
"""
Convert the Matrix to a PySpark SQL DataFrame.
Returns
-------
PySpark SQL DataFrame
A PySpark SQL DataFrame representing the matrix, with
one "__INDEX" column containing the row index (since Spark
DataFrames are unordered), followed by columns of doubles
for each column in the matrix.
"""
jdf = self._java_matrix.toDF()
df = _java2py(self._sc, jdf)
return df
def toNumPy(self):
"""
Convert the Matrix to a NumPy Array.
Returns
-------
NumPy Array
A NumPy Array representing the Matrix object.
"""
np_array = convertToNumPyArr(self._sc, self._java_matrix.toMatrixBlock())
return np_array
class MLResults(object):
"""
Wrapper around a Java ML Results object.
Parameters
----------
results: JavaObject
A Java MLResults object as returned by calling `ml.execute()`.
sc: SparkContext
SparkContext
"""
def __init__(self, results, sc):
self._java_results = results
self._sc = sc
def __repr__(self):
return "MLResults"
def get(self, *outputs):
"""
Parameters
----------
outputs: string, list of strings
Output variables as defined inside the DML script.
"""
outs = [_java2py(self._sc, self._java_results.get(out)) for out in outputs]
if len(outs) == 1:
return outs[0]
return outs
class Script(object):
"""
Instance of a DML/PyDML Script.
Parameters
----------
scriptString: string
Can be either a file path to a DML script or a DML script itself.
scriptType: string
Script language, either "dml" for DML (R-like) or "pydml" for PyDML (Python-like).
isResource: boolean
If true, scriptString is a path to a resource on the classpath
scriptFormat: string
Optional script format, either "auto" or "url" or "file" or "resource" or "string"
"""
def __init__(self, scriptString, scriptType="dml", isResource=False, scriptFormat="auto"):
self.sc = _get_spark_context()
self.scriptString = scriptString
self.scriptType = scriptType
self.isResource = isResource
if scriptFormat != "auto":
if scriptFormat == "url" and self.scriptType == "dml":
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.dmlFromUrl(scriptString)
elif scriptFormat == "url" and self.scriptType == "pydml":
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.pydmlFromUrl(scriptString)
elif scriptFormat == "file" and self.scriptType == "dml":
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.dmlFromFile(scriptString)
elif scriptFormat == "file" and self.scriptType == "pydml":
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.pydmlFromFile(scriptString)
elif isResource and self.scriptType == "dml":
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.dmlFromResource(scriptString)
elif isResource and self.scriptType == "pydml":
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.pydmlFromResource(scriptString)
elif scriptFormat == "string" and self.scriptType == "dml":
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.dml(scriptString)
elif scriptFormat == "string" and self.scriptType == "pydml":
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.pydml(scriptString)
else:
raise ValueError('Unsupported script format' + scriptFormat)
elif self.scriptType == "dml":
if scriptString.endswith(".dml"):
if scriptString.startswith("http"):
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.dmlFromUrl(scriptString)
elif os.path.exists(scriptString):
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.dmlFromFile(scriptString)
elif self.isResource == True:
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.dmlFromResource(scriptString)
else:
raise ValueError("path: %s does not exist" % scriptString)
else:
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.dml(scriptString)
elif self.scriptType == "pydml":
if scriptString.endswith(".pydml"):
if scriptString.startswith("http"):
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.pydmlFromUrl(scriptString)
elif os.path.exists(scriptString):
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.pydmlFromFile(scriptString)
elif self.isResource == True:
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.pydmlFromResource(scriptString)
else:
raise ValueError("path: %s does not exist" % scriptString)
else:
self.script_java = self.sc._jvm.org.apache.sysml.api.mlcontext.ScriptFactory.pydml(scriptString)
def getScriptString(self):
"""
Obtain the script string (in unicode).
"""
return self.script_java.getScriptString()
def setScriptString(self, scriptString):
"""
Set the script string.
Parameters
----------
scriptString: string
Can be either a file path to a DML script or a DML script itself.
"""
self.scriptString = scriptString
self.script_java.setScriptString(scriptString)
return self
def getInputVariables(self):
"""
Obtain the input variable names.
"""
return self.script_java.getInputVariables()
def getOutputVariables(self):
"""
Obtain the output variable names.
"""
return self.script_java.getOutputVariables()
def clearIOS(self):
"""
Clear the inputs, outputs, and symbol table.
"""
self.script_java.clearIOS()
return self
def clearIO(self):
"""
Clear the inputs and outputs, but not the symbol table.
"""
self.script_java.clearIO()
return self
def clearAll(self):
"""
Clear the script string, inputs, outputs, and symbol table.
"""
self.script_java.clearAll()
return self
def clearInputs(self):
"""
Clear the inputs.
"""
self.script_java.clearInputs()
return self
def clearOutputs(self):
"""
Clear the outputs.
"""
self.script_java.clearOutputs()
return self
def clearSymbolTable(self):
"""
Clear the symbol table.
"""
self.script_java.clearSymbolTable()
return self
def results(self):
"""
Obtain the results of the script execution.
"""
return MLResults(self.script_java.results(), self.sc)
def getResults(self):
"""
Obtain the results of the script execution.
"""
return MLResults(self.script_java.getResults(), self.sc)
def setResults(self, results):
"""
Set the results of the script execution.
"""
self.script_java.setResults(results._java_results)
return self
def isDML(self):
"""
Is the script type DML?
"""
return self.script_java.isDML()
def isPYDML(self):
"""
Is the script type DML?
"""
return self.script_java.isPYDML()
def getScriptExecutionString(self):
"""
Generate the script execution string, which adds read/load/write/save
statements to the beginning and end of the script to execute.
"""
return self.script_java.getScriptExecutionString()
def __repr__(self):
return "Script"
def info(self):
"""
Display information about the script as a String. This consists of the
script type, inputs, outputs, input parameters, input variables, output
variables, the symbol table, the script string, and the script execution string.
"""
return self.script_java.info()
def displayInputs(self):
"""
Display the script inputs.
"""
return self.script_java.displayInputs()
def displayOutputs(self):
"""
Display the script outputs.
"""
return self.script_java.displayOutputs()
def displayInputParameters(self):
"""
Display the script input parameters.
"""
return self.script_java.displayInputParameters()
def displayInputVariables(self):
"""
Display the script input variables.
"""
return self.script_java.displayInputVariables()
def displayOutputVariables(self):
"""
Display the script output variables.
"""
return self.script_java.displayOutputVariables()
def displaySymbolTable(self):
"""
Display the script symbol table.
"""
return self.script_java.displaySymbolTable()
def getName(self):
"""
Obtain the script name.
"""
return self.script_java.getName()
def setName(self, name):
"""
Set the script name.
"""
self.script_java.setName(name)
return self
def getScriptType(self):
"""
Obtain the script type.
"""
return self.scriptType
def input(self, *args, **kwargs):
"""
Parameters
----------
args: name, value tuple
where name is a string, and currently supported value formats
are double, string, dataframe, rdd, and list of such object.
kwargs: dict of name, value pairs
To know what formats are supported for name and value, look above.
"""
if args and len(args) != 2:
raise ValueError("Expected name, value pair.")
elif args:
self._setInput(args[0], args[1])
for name, value in kwargs.items():
self._setInput(name, value)
return self
def _setInput(self, key, val):
# `in` is a reserved word ("keyword") in Python, so `script_java.in(...)` is not
# allowed. Therefore, we use the following code in which we retrieve a function
# representing `script_java.in`, and then call it with the arguments. This is in
# lieu of adding a new `input` method on the JVM side, as that would complicate use
# from Scala/Java.
if isinstance(val, py4j.java_gateway.JavaObject):
py4j.java_gateway.get_method(self.script_java, "in")(key, val)
else:
py4j.java_gateway.get_method(self.script_java, "in")(key, _py2java(self.sc, val))
def output(self, *names):
"""
Parameters
----------
names: string, list of strings
Output variables as defined inside the DML script.
"""
for val in names:
self.script_java.out(val)
return self
class MLContext(object):
"""
Wrapper around the new SystemML MLContext.
Parameters
----------
sc: SparkContext or SparkSession
An instance of pyspark.SparkContext or pyspark.sql.SparkSession.
"""
def __init__(self, sc):
if isinstance(sc, pyspark.sql.session.SparkSession):
sc = sc._sc
elif not isinstance(sc, SparkContext):
raise ValueError("Expected sc to be a SparkContext or SparkSession, got " % str(type(sc)))
self._sc = sc
self._ml = createJavaObject(sc, 'mlcontext')
def __repr__(self):
return "MLContext"
def execute(self, script):
"""
Execute a DML / PyDML script.
Parameters
----------
script: Script instance
Script instance defined with the appropriate input and output variables.
Returns
-------
ml_results: MLResults
MLResults instance.
"""
if not isinstance(script, Script):
raise ValueError("Expected script to be an instance of Script")
scriptString = script.scriptString
script_java = script.script_java
return MLResults(self._ml.execute(script_java), self._sc)
def setStatistics(self, statistics):
"""
Whether or not to output statistics (such as execution time, elapsed time)
about script executions.
Parameters
----------
statistics: boolean
"""
self._ml.setStatistics(bool(statistics))
return self
def setGPU(self, enable):
"""
Whether or not to enable GPU.
Parameters
----------
enable: boolean
"""
self._ml.setGPU(bool(enable))
return self
def setForceGPU(self, enable):
"""
Whether or not to force the usage of GPU operators.
Parameters
----------
enable: boolean
"""
self._ml.setForceGPU(bool(enable))
return self
def setStatisticsMaxHeavyHitters(self, maxHeavyHitters):
"""
The maximum number of heavy hitters that are printed as part of the statistics.
Parameters
----------
maxHeavyHitters: int
"""
self._ml.setStatisticsMaxHeavyHitters(maxHeavyHitters)
return self
def setExplain(self, explain):
"""
Explanation about the program. Mainly intended for developers.
Parameters
----------
explain: boolean
"""
self._ml.setExplain(bool(explain))
return self
def setExplainLevel(self, explainLevel):
"""
Set explain level.
Parameters
----------
explainLevel: string
Can be one of "hops", "runtime", "recompile_hops", "recompile_runtime"
or in the above in upper case.
"""
self._ml.setExplainLevel(explainLevel)
return self
def setConfigProperty(self, propertyName, propertyValue):
"""
Set configuration property, such as setConfigProperty("sysml.localtmpdir", "/tmp/systemml").
Parameters
----------
propertyName: String
propertyValue: String
"""
self._ml.setConfigProperty(propertyName, propertyValue)
return self
def setConfig(self, configFilePath):
"""
Set SystemML configuration based on a configuration file.
Parameters
----------
configFilePath: String
"""
self._ml.setConfig(configFilePath)
return self
def resetConfig(self):
"""
Reset configuration settings to default values.
"""
self._ml.resetConfig()
return self
def version(self):
"""Display the project version."""
return self._ml.version()
def buildTime(self):
"""Display the project build time."""
return self._ml.buildTime()
def info(self):
"""Display the project information."""
return self._ml.info().toString()
def isExplain(self):
"""Returns True if program instruction details should be output, False otherwise."""
return self._ml.isExplain()
def isStatistics(self):
"""Returns True if program execution statistics should be output, False otherwise."""
return self._ml.isStatistics()
def isGPU(self):
"""Returns True if GPU mode is enabled, False otherwise."""
return self._ml.isGPU()
def isForceGPU(self):
"""Returns True if "force" GPU mode is enabled, False otherwise."""
return self._ml.isForceGPU()
def close(self):
"""
Closes this MLContext instance to cleanup buffer pool, static/local state and scratch space.
Note the SparkContext is not explicitly closed to allow external reuse.
"""
self._ml.close()
return self
| apache-2.0 |
saiwing-yeung/scikit-learn | examples/linear_model/plot_bayesian_ridge.py | 50 | 2733 | """
=========================
Bayesian Ridge Regression
=========================
Computes a Bayesian Ridge Regression on a synthetic dataset.
See :ref:`bayesian_ridge_regression` for more information on the regressor.
Compared to the OLS (ordinary least squares) estimator, the coefficient
weights are slightly shifted toward zeros, which stabilises them.
As the prior on the weights is a Gaussian prior, the histogram of the
estimated weights is Gaussian.
The estimation of the model is done by iteratively maximizing the
marginal log-likelihood of the observations.
"""
print(__doc__)
import numpy as np
import matplotlib.pyplot as plt
from scipy import stats
from sklearn.linear_model import BayesianRidge, LinearRegression
###############################################################################
# Generating simulated data with Gaussian weights
np.random.seed(0)
n_samples, n_features = 100, 100
X = np.random.randn(n_samples, n_features) # Create Gaussian data
# Create weights with a precision lambda_ of 4.
lambda_ = 4.
w = np.zeros(n_features)
# Only keep 10 weights of interest
relevant_features = np.random.randint(0, n_features, 10)
for i in relevant_features:
w[i] = stats.norm.rvs(loc=0, scale=1. / np.sqrt(lambda_))
# Create noise with a precision alpha of 50.
alpha_ = 50.
noise = stats.norm.rvs(loc=0, scale=1. / np.sqrt(alpha_), size=n_samples)
# Create the target
y = np.dot(X, w) + noise
###############################################################################
# Fit the Bayesian Ridge Regression and an OLS for comparison
clf = BayesianRidge(compute_score=True)
clf.fit(X, y)
ols = LinearRegression()
ols.fit(X, y)
###############################################################################
# Plot true weights, estimated weights and histogram of the weights
lw = 2
plt.figure(figsize=(6, 5))
plt.title("Weights of the model")
plt.plot(clf.coef_, color='lightgreen', linewidth=lw,
label="Bayesian Ridge estimate")
plt.plot(w, color='gold', linewidth=lw, label="Ground truth")
plt.plot(ols.coef_, color='navy', linestyle='--', label="OLS estimate")
plt.xlabel("Features")
plt.ylabel("Values of the weights")
plt.legend(loc="best", prop=dict(size=12))
plt.figure(figsize=(6, 5))
plt.title("Histogram of the weights")
plt.hist(clf.coef_, bins=n_features, color='gold', log=True)
plt.scatter(clf.coef_[relevant_features], 5 * np.ones(len(relevant_features)),
color='navy', label="Relevant features")
plt.ylabel("Features")
plt.xlabel("Values of the weights")
plt.legend(loc="upper left")
plt.figure(figsize=(6, 5))
plt.title("Marginal log-likelihood")
plt.plot(clf.scores_, color='navy', linewidth=lw)
plt.ylabel("Score")
plt.xlabel("Iterations")
plt.show()
| bsd-3-clause |
JsNoNo/scikit-learn | sklearn/decomposition/tests/test_online_lda.py | 21 | 13171 | import numpy as np
from scipy.linalg import block_diag
from scipy.sparse import csr_matrix
from scipy.special import psi
from sklearn.decomposition import LatentDirichletAllocation
from sklearn.decomposition._online_lda import (_dirichlet_expectation_1d,
_dirichlet_expectation_2d)
from sklearn.utils.testing import assert_allclose
from sklearn.utils.testing import assert_true
from sklearn.utils.testing import assert_array_almost_equal
from sklearn.utils.testing import assert_almost_equal
from sklearn.utils.testing import assert_greater_equal
from sklearn.utils.testing import assert_raises_regexp
from sklearn.utils.testing import if_safe_multiprocessing_with_blas
from sklearn.utils.validation import NotFittedError
from sklearn.externals.six.moves import xrange
def _build_sparse_mtx():
# Create 3 topics and each topic has 3 disticnt words.
# (Each word only belongs to a single topic.)
n_topics = 3
block = n_topics * np.ones((3, 3))
blocks = [block] * n_topics
X = block_diag(*blocks)
X = csr_matrix(X)
return (n_topics, X)
def test_lda_default_prior_params():
# default prior parameter should be `1 / topics`
# and verbose params should not affect result
n_topics, X = _build_sparse_mtx()
prior = 1. / n_topics
lda_1 = LatentDirichletAllocation(n_topics=n_topics, doc_topic_prior=prior,
topic_word_prior=prior, random_state=0)
lda_2 = LatentDirichletAllocation(n_topics=n_topics, random_state=0)
topic_distr_1 = lda_1.fit_transform(X)
topic_distr_2 = lda_2.fit_transform(X)
assert_almost_equal(topic_distr_1, topic_distr_2)
def test_lda_fit_batch():
# Test LDA batch learning_offset (`fit` method with 'batch' learning)
rng = np.random.RandomState(0)
n_topics, X = _build_sparse_mtx()
lda = LatentDirichletAllocation(n_topics=n_topics, evaluate_every=1,
learning_method='batch', random_state=rng)
lda.fit(X)
correct_idx_grps = [(0, 1, 2), (3, 4, 5), (6, 7, 8)]
for component in lda.components_:
# Find top 3 words in each LDA component
top_idx = set(component.argsort()[-3:][::-1])
assert_true(tuple(sorted(top_idx)) in correct_idx_grps)
def test_lda_fit_online():
# Test LDA online learning (`fit` method with 'online' learning)
rng = np.random.RandomState(0)
n_topics, X = _build_sparse_mtx()
lda = LatentDirichletAllocation(n_topics=n_topics, learning_offset=10.,
evaluate_every=1, learning_method='online',
random_state=rng)
lda.fit(X)
correct_idx_grps = [(0, 1, 2), (3, 4, 5), (6, 7, 8)]
for component in lda.components_:
# Find top 3 words in each LDA component
top_idx = set(component.argsort()[-3:][::-1])
assert_true(tuple(sorted(top_idx)) in correct_idx_grps)
def test_lda_partial_fit():
# Test LDA online learning (`partial_fit` method)
# (same as test_lda_batch)
rng = np.random.RandomState(0)
n_topics, X = _build_sparse_mtx()
lda = LatentDirichletAllocation(n_topics=n_topics, learning_offset=10.,
total_samples=100, random_state=rng)
for i in xrange(3):
lda.partial_fit(X)
correct_idx_grps = [(0, 1, 2), (3, 4, 5), (6, 7, 8)]
for c in lda.components_:
top_idx = set(c.argsort()[-3:][::-1])
assert_true(tuple(sorted(top_idx)) in correct_idx_grps)
def test_lda_dense_input():
# Test LDA with dense input.
rng = np.random.RandomState(0)
n_topics, X = _build_sparse_mtx()
lda = LatentDirichletAllocation(n_topics=n_topics, learning_method='batch',
random_state=rng)
lda.fit(X.toarray())
correct_idx_grps = [(0, 1, 2), (3, 4, 5), (6, 7, 8)]
for component in lda.components_:
# Find top 3 words in each LDA component
top_idx = set(component.argsort()[-3:][::-1])
assert_true(tuple(sorted(top_idx)) in correct_idx_grps)
def test_lda_transform():
# Test LDA transform.
# Transform result cannot be negative
rng = np.random.RandomState(0)
X = rng.randint(5, size=(20, 10))
n_topics = 3
lda = LatentDirichletAllocation(n_topics=n_topics, random_state=rng)
X_trans = lda.fit_transform(X)
assert_true((X_trans > 0.0).any())
def test_lda_fit_transform():
# Test LDA fit_transform & transform
# fit_transform and transform result should be the same
for method in ('online', 'batch'):
rng = np.random.RandomState(0)
X = rng.randint(10, size=(50, 20))
lda = LatentDirichletAllocation(n_topics=5, learning_method=method,
random_state=rng)
X_fit = lda.fit_transform(X)
X_trans = lda.transform(X)
assert_array_almost_equal(X_fit, X_trans, 4)
def test_lda_partial_fit_dim_mismatch():
# test `n_features` mismatch in `partial_fit`
rng = np.random.RandomState(0)
n_topics = rng.randint(3, 6)
n_col = rng.randint(6, 10)
X_1 = np.random.randint(4, size=(10, n_col))
X_2 = np.random.randint(4, size=(10, n_col + 1))
lda = LatentDirichletAllocation(n_topics=n_topics, learning_offset=5.,
total_samples=20, random_state=rng)
lda.partial_fit(X_1)
assert_raises_regexp(ValueError, r"^The provided data has",
lda.partial_fit, X_2)
def test_invalid_params():
# test `_check_params` method
X = np.ones((5, 10))
invalid_models = (
('n_topics', LatentDirichletAllocation(n_topics=0)),
('learning_method',
LatentDirichletAllocation(learning_method='unknown')),
('total_samples', LatentDirichletAllocation(total_samples=0)),
('learning_offset', LatentDirichletAllocation(learning_offset=-1)),
)
for param, model in invalid_models:
regex = r"^Invalid %r parameter" % param
assert_raises_regexp(ValueError, regex, model.fit, X)
def test_lda_negative_input():
# test pass dense matrix with sparse negative input.
X = -np.ones((5, 10))
lda = LatentDirichletAllocation()
regex = r"^Negative values in data passed"
assert_raises_regexp(ValueError, regex, lda.fit, X)
def test_lda_no_component_error():
# test `transform` and `perplexity` before `fit`
rng = np.random.RandomState(0)
X = rng.randint(4, size=(20, 10))
lda = LatentDirichletAllocation()
regex = r"^no 'components_' attribute"
assert_raises_regexp(NotFittedError, regex, lda.transform, X)
assert_raises_regexp(NotFittedError, regex, lda.perplexity, X)
def test_lda_transform_mismatch():
# test `n_features` mismatch in partial_fit and transform
rng = np.random.RandomState(0)
X = rng.randint(4, size=(20, 10))
X_2 = rng.randint(4, size=(10, 8))
n_topics = rng.randint(3, 6)
lda = LatentDirichletAllocation(n_topics=n_topics, random_state=rng)
lda.partial_fit(X)
assert_raises_regexp(ValueError, r"^The provided data has",
lda.partial_fit, X_2)
@if_safe_multiprocessing_with_blas
def test_lda_multi_jobs():
n_topics, X = _build_sparse_mtx()
# Test LDA batch training with multi CPU
for method in ('online', 'batch'):
rng = np.random.RandomState(0)
lda = LatentDirichletAllocation(n_topics=n_topics, n_jobs=2,
learning_method=method,
random_state=rng)
lda.fit(X)
correct_idx_grps = [(0, 1, 2), (3, 4, 5), (6, 7, 8)]
for c in lda.components_:
top_idx = set(c.argsort()[-3:][::-1])
assert_true(tuple(sorted(top_idx)) in correct_idx_grps)
@if_safe_multiprocessing_with_blas
def test_lda_partial_fit_multi_jobs():
# Test LDA online training with multi CPU
rng = np.random.RandomState(0)
n_topics, X = _build_sparse_mtx()
lda = LatentDirichletAllocation(n_topics=n_topics, n_jobs=2,
learning_offset=5., total_samples=30,
random_state=rng)
for i in range(2):
lda.partial_fit(X)
correct_idx_grps = [(0, 1, 2), (3, 4, 5), (6, 7, 8)]
for c in lda.components_:
top_idx = set(c.argsort()[-3:][::-1])
assert_true(tuple(sorted(top_idx)) in correct_idx_grps)
def test_lda_preplexity_mismatch():
# test dimension mismatch in `perplexity` method
rng = np.random.RandomState(0)
n_topics = rng.randint(3, 6)
n_samples = rng.randint(6, 10)
X = np.random.randint(4, size=(n_samples, 10))
lda = LatentDirichletAllocation(n_topics=n_topics, learning_offset=5.,
total_samples=20, random_state=rng)
lda.fit(X)
# invalid samples
invalid_n_samples = rng.randint(4, size=(n_samples + 1, n_topics))
assert_raises_regexp(ValueError, r'Number of samples', lda.perplexity, X,
invalid_n_samples)
# invalid topic number
invalid_n_topics = rng.randint(4, size=(n_samples, n_topics + 1))
assert_raises_regexp(ValueError, r'Number of topics', lda.perplexity, X,
invalid_n_topics)
def test_lda_perplexity():
# Test LDA perplexity for batch training
# perplexity should be lower after each iteration
n_topics, X = _build_sparse_mtx()
for method in ('online', 'batch'):
lda_1 = LatentDirichletAllocation(n_topics=n_topics, max_iter=1,
learning_method=method,
total_samples=100, random_state=0)
lda_2 = LatentDirichletAllocation(n_topics=n_topics, max_iter=10,
learning_method=method,
total_samples=100, random_state=0)
distr_1 = lda_1.fit_transform(X)
perp_1 = lda_1.perplexity(X, distr_1, sub_sampling=False)
distr_2 = lda_2.fit_transform(X)
perp_2 = lda_2.perplexity(X, distr_2, sub_sampling=False)
assert_greater_equal(perp_1, perp_2)
perp_1_subsampling = lda_1.perplexity(X, distr_1, sub_sampling=True)
perp_2_subsampling = lda_2.perplexity(X, distr_2, sub_sampling=True)
assert_greater_equal(perp_1_subsampling, perp_2_subsampling)
def test_lda_score():
# Test LDA score for batch training
# score should be higher after each iteration
n_topics, X = _build_sparse_mtx()
for method in ('online', 'batch'):
lda_1 = LatentDirichletAllocation(n_topics=n_topics, max_iter=1,
learning_method=method,
total_samples=100, random_state=0)
lda_2 = LatentDirichletAllocation(n_topics=n_topics, max_iter=10,
learning_method=method,
total_samples=100, random_state=0)
lda_1.fit_transform(X)
score_1 = lda_1.score(X)
lda_2.fit_transform(X)
score_2 = lda_2.score(X)
assert_greater_equal(score_2, score_1)
def test_perplexity_input_format():
# Test LDA perplexity for sparse and dense input
# score should be the same for both dense and sparse input
n_topics, X = _build_sparse_mtx()
lda = LatentDirichletAllocation(n_topics=n_topics, max_iter=1,
learning_method='batch',
total_samples=100, random_state=0)
distr = lda.fit_transform(X)
perp_1 = lda.perplexity(X)
perp_2 = lda.perplexity(X, distr)
perp_3 = lda.perplexity(X.toarray(), distr)
assert_almost_equal(perp_1, perp_2)
assert_almost_equal(perp_1, perp_3)
def test_lda_score_perplexity():
# Test the relationship between LDA score and perplexity
n_topics, X = _build_sparse_mtx()
lda = LatentDirichletAllocation(n_topics=n_topics, max_iter=10,
random_state=0)
distr = lda.fit_transform(X)
perplexity_1 = lda.perplexity(X, distr, sub_sampling=False)
score = lda.score(X)
perplexity_2 = np.exp(-1. * (score / np.sum(X.data)))
assert_almost_equal(perplexity_1, perplexity_2)
def test_lda_empty_docs():
"""Test LDA on empty document (all-zero rows)."""
Z = np.zeros((5, 4))
for X in [Z, csr_matrix(Z)]:
lda = LatentDirichletAllocation(max_iter=750).fit(X)
assert_almost_equal(lda.components_.sum(axis=0),
np.ones(lda.components_.shape[1]))
def test_dirichlet_expectation():
"""Test Cython version of Dirichlet expectation calculation."""
x = np.logspace(-100, 10, 10000)
expectation = np.empty_like(x)
_dirichlet_expectation_1d(x, 0, expectation)
assert_allclose(expectation, np.exp(psi(x) - psi(np.sum(x))),
atol=1e-19)
x = x.reshape(100, 100)
assert_allclose(_dirichlet_expectation_2d(x),
psi(x) - psi(np.sum(x, axis=1)[:, np.newaxis]),
rtol=1e-11, atol=3e-9)
| bsd-3-clause |
yunfeilu/scikit-learn | sklearn/preprocessing/tests/test_label.py | 156 | 17626 | import numpy as np
from scipy.sparse import issparse
from scipy.sparse import coo_matrix
from scipy.sparse import csc_matrix
from scipy.sparse import csr_matrix
from scipy.sparse import dok_matrix
from scipy.sparse import lil_matrix
from sklearn.utils.multiclass import type_of_target
from sklearn.utils.testing import assert_array_equal
from sklearn.utils.testing import assert_equal
from sklearn.utils.testing import assert_raises
from sklearn.utils.testing import ignore_warnings
from sklearn.preprocessing.label import LabelBinarizer
from sklearn.preprocessing.label import MultiLabelBinarizer
from sklearn.preprocessing.label import LabelEncoder
from sklearn.preprocessing.label import label_binarize
from sklearn.preprocessing.label import _inverse_binarize_thresholding
from sklearn.preprocessing.label import _inverse_binarize_multiclass
from sklearn import datasets
iris = datasets.load_iris()
def toarray(a):
if hasattr(a, "toarray"):
a = a.toarray()
return a
def test_label_binarizer():
lb = LabelBinarizer()
# one-class case defaults to negative label
inp = ["pos", "pos", "pos", "pos"]
expected = np.array([[0, 0, 0, 0]]).T
got = lb.fit_transform(inp)
assert_array_equal(lb.classes_, ["pos"])
assert_array_equal(expected, got)
assert_array_equal(lb.inverse_transform(got), inp)
# two-class case
inp = ["neg", "pos", "pos", "neg"]
expected = np.array([[0, 1, 1, 0]]).T
got = lb.fit_transform(inp)
assert_array_equal(lb.classes_, ["neg", "pos"])
assert_array_equal(expected, got)
to_invert = np.array([[1, 0],
[0, 1],
[0, 1],
[1, 0]])
assert_array_equal(lb.inverse_transform(to_invert), inp)
# multi-class case
inp = ["spam", "ham", "eggs", "ham", "0"]
expected = np.array([[0, 0, 0, 1],
[0, 0, 1, 0],
[0, 1, 0, 0],
[0, 0, 1, 0],
[1, 0, 0, 0]])
got = lb.fit_transform(inp)
assert_array_equal(lb.classes_, ['0', 'eggs', 'ham', 'spam'])
assert_array_equal(expected, got)
assert_array_equal(lb.inverse_transform(got), inp)
def test_label_binarizer_unseen_labels():
lb = LabelBinarizer()
expected = np.array([[1, 0, 0],
[0, 1, 0],
[0, 0, 1]])
got = lb.fit_transform(['b', 'd', 'e'])
assert_array_equal(expected, got)
expected = np.array([[0, 0, 0],
[1, 0, 0],
[0, 0, 0],
[0, 1, 0],
[0, 0, 1],
[0, 0, 0]])
got = lb.transform(['a', 'b', 'c', 'd', 'e', 'f'])
assert_array_equal(expected, got)
def test_label_binarizer_set_label_encoding():
lb = LabelBinarizer(neg_label=-2, pos_label=0)
# two-class case with pos_label=0
inp = np.array([0, 1, 1, 0])
expected = np.array([[-2, 0, 0, -2]]).T
got = lb.fit_transform(inp)
assert_array_equal(expected, got)
assert_array_equal(lb.inverse_transform(got), inp)
lb = LabelBinarizer(neg_label=-2, pos_label=2)
# multi-class case
inp = np.array([3, 2, 1, 2, 0])
expected = np.array([[-2, -2, -2, +2],
[-2, -2, +2, -2],
[-2, +2, -2, -2],
[-2, -2, +2, -2],
[+2, -2, -2, -2]])
got = lb.fit_transform(inp)
assert_array_equal(expected, got)
assert_array_equal(lb.inverse_transform(got), inp)
@ignore_warnings
def test_label_binarizer_errors():
# Check that invalid arguments yield ValueError
one_class = np.array([0, 0, 0, 0])
lb = LabelBinarizer().fit(one_class)
multi_label = [(2, 3), (0,), (0, 2)]
assert_raises(ValueError, lb.transform, multi_label)
lb = LabelBinarizer()
assert_raises(ValueError, lb.transform, [])
assert_raises(ValueError, lb.inverse_transform, [])
assert_raises(ValueError, LabelBinarizer, neg_label=2, pos_label=1)
assert_raises(ValueError, LabelBinarizer, neg_label=2, pos_label=2)
assert_raises(ValueError, LabelBinarizer, neg_label=1, pos_label=2,
sparse_output=True)
# Fail on y_type
assert_raises(ValueError, _inverse_binarize_thresholding,
y=csr_matrix([[1, 2], [2, 1]]), output_type="foo",
classes=[1, 2], threshold=0)
# Sequence of seq type should raise ValueError
y_seq_of_seqs = [[], [1, 2], [3], [0, 1, 3], [2]]
assert_raises(ValueError, LabelBinarizer().fit_transform, y_seq_of_seqs)
# Fail on the number of classes
assert_raises(ValueError, _inverse_binarize_thresholding,
y=csr_matrix([[1, 2], [2, 1]]), output_type="foo",
classes=[1, 2, 3], threshold=0)
# Fail on the dimension of 'binary'
assert_raises(ValueError, _inverse_binarize_thresholding,
y=np.array([[1, 2, 3], [2, 1, 3]]), output_type="binary",
classes=[1, 2, 3], threshold=0)
# Fail on multioutput data
assert_raises(ValueError, LabelBinarizer().fit, np.array([[1, 3], [2, 1]]))
assert_raises(ValueError, label_binarize, np.array([[1, 3], [2, 1]]),
[1, 2, 3])
def test_label_encoder():
# Test LabelEncoder's transform and inverse_transform methods
le = LabelEncoder()
le.fit([1, 1, 4, 5, -1, 0])
assert_array_equal(le.classes_, [-1, 0, 1, 4, 5])
assert_array_equal(le.transform([0, 1, 4, 4, 5, -1, -1]),
[1, 2, 3, 3, 4, 0, 0])
assert_array_equal(le.inverse_transform([1, 2, 3, 3, 4, 0, 0]),
[0, 1, 4, 4, 5, -1, -1])
assert_raises(ValueError, le.transform, [0, 6])
def test_label_encoder_fit_transform():
# Test fit_transform
le = LabelEncoder()
ret = le.fit_transform([1, 1, 4, 5, -1, 0])
assert_array_equal(ret, [2, 2, 3, 4, 0, 1])
le = LabelEncoder()
ret = le.fit_transform(["paris", "paris", "tokyo", "amsterdam"])
assert_array_equal(ret, [1, 1, 2, 0])
def test_label_encoder_errors():
# Check that invalid arguments yield ValueError
le = LabelEncoder()
assert_raises(ValueError, le.transform, [])
assert_raises(ValueError, le.inverse_transform, [])
# Fail on unseen labels
le = LabelEncoder()
le.fit([1, 2, 3, 1, -1])
assert_raises(ValueError, le.inverse_transform, [-1])
def test_sparse_output_multilabel_binarizer():
# test input as iterable of iterables
inputs = [
lambda: [(2, 3), (1,), (1, 2)],
lambda: (set([2, 3]), set([1]), set([1, 2])),
lambda: iter([iter((2, 3)), iter((1,)), set([1, 2])]),
]
indicator_mat = np.array([[0, 1, 1],
[1, 0, 0],
[1, 1, 0]])
inverse = inputs[0]()
for sparse_output in [True, False]:
for inp in inputs:
# With fit_tranform
mlb = MultiLabelBinarizer(sparse_output=sparse_output)
got = mlb.fit_transform(inp())
assert_equal(issparse(got), sparse_output)
if sparse_output:
got = got.toarray()
assert_array_equal(indicator_mat, got)
assert_array_equal([1, 2, 3], mlb.classes_)
assert_equal(mlb.inverse_transform(got), inverse)
# With fit
mlb = MultiLabelBinarizer(sparse_output=sparse_output)
got = mlb.fit(inp()).transform(inp())
assert_equal(issparse(got), sparse_output)
if sparse_output:
got = got.toarray()
assert_array_equal(indicator_mat, got)
assert_array_equal([1, 2, 3], mlb.classes_)
assert_equal(mlb.inverse_transform(got), inverse)
assert_raises(ValueError, mlb.inverse_transform,
csr_matrix(np.array([[0, 1, 1],
[2, 0, 0],
[1, 1, 0]])))
def test_multilabel_binarizer():
# test input as iterable of iterables
inputs = [
lambda: [(2, 3), (1,), (1, 2)],
lambda: (set([2, 3]), set([1]), set([1, 2])),
lambda: iter([iter((2, 3)), iter((1,)), set([1, 2])]),
]
indicator_mat = np.array([[0, 1, 1],
[1, 0, 0],
[1, 1, 0]])
inverse = inputs[0]()
for inp in inputs:
# With fit_tranform
mlb = MultiLabelBinarizer()
got = mlb.fit_transform(inp())
assert_array_equal(indicator_mat, got)
assert_array_equal([1, 2, 3], mlb.classes_)
assert_equal(mlb.inverse_transform(got), inverse)
# With fit
mlb = MultiLabelBinarizer()
got = mlb.fit(inp()).transform(inp())
assert_array_equal(indicator_mat, got)
assert_array_equal([1, 2, 3], mlb.classes_)
assert_equal(mlb.inverse_transform(got), inverse)
def test_multilabel_binarizer_empty_sample():
mlb = MultiLabelBinarizer()
y = [[1, 2], [1], []]
Y = np.array([[1, 1],
[1, 0],
[0, 0]])
assert_array_equal(mlb.fit_transform(y), Y)
def test_multilabel_binarizer_unknown_class():
mlb = MultiLabelBinarizer()
y = [[1, 2]]
assert_raises(KeyError, mlb.fit(y).transform, [[0]])
mlb = MultiLabelBinarizer(classes=[1, 2])
assert_raises(KeyError, mlb.fit_transform, [[0]])
def test_multilabel_binarizer_given_classes():
inp = [(2, 3), (1,), (1, 2)]
indicator_mat = np.array([[0, 1, 1],
[1, 0, 0],
[1, 0, 1]])
# fit_transform()
mlb = MultiLabelBinarizer(classes=[1, 3, 2])
assert_array_equal(mlb.fit_transform(inp), indicator_mat)
assert_array_equal(mlb.classes_, [1, 3, 2])
# fit().transform()
mlb = MultiLabelBinarizer(classes=[1, 3, 2])
assert_array_equal(mlb.fit(inp).transform(inp), indicator_mat)
assert_array_equal(mlb.classes_, [1, 3, 2])
# ensure works with extra class
mlb = MultiLabelBinarizer(classes=[4, 1, 3, 2])
assert_array_equal(mlb.fit_transform(inp),
np.hstack(([[0], [0], [0]], indicator_mat)))
assert_array_equal(mlb.classes_, [4, 1, 3, 2])
# ensure fit is no-op as iterable is not consumed
inp = iter(inp)
mlb = MultiLabelBinarizer(classes=[1, 3, 2])
assert_array_equal(mlb.fit(inp).transform(inp), indicator_mat)
def test_multilabel_binarizer_same_length_sequence():
# Ensure sequences of the same length are not interpreted as a 2-d array
inp = [[1], [0], [2]]
indicator_mat = np.array([[0, 1, 0],
[1, 0, 0],
[0, 0, 1]])
# fit_transform()
mlb = MultiLabelBinarizer()
assert_array_equal(mlb.fit_transform(inp), indicator_mat)
assert_array_equal(mlb.inverse_transform(indicator_mat), inp)
# fit().transform()
mlb = MultiLabelBinarizer()
assert_array_equal(mlb.fit(inp).transform(inp), indicator_mat)
assert_array_equal(mlb.inverse_transform(indicator_mat), inp)
def test_multilabel_binarizer_non_integer_labels():
tuple_classes = np.empty(3, dtype=object)
tuple_classes[:] = [(1,), (2,), (3,)]
inputs = [
([('2', '3'), ('1',), ('1', '2')], ['1', '2', '3']),
([('b', 'c'), ('a',), ('a', 'b')], ['a', 'b', 'c']),
([((2,), (3,)), ((1,),), ((1,), (2,))], tuple_classes),
]
indicator_mat = np.array([[0, 1, 1],
[1, 0, 0],
[1, 1, 0]])
for inp, classes in inputs:
# fit_transform()
mlb = MultiLabelBinarizer()
assert_array_equal(mlb.fit_transform(inp), indicator_mat)
assert_array_equal(mlb.classes_, classes)
assert_array_equal(mlb.inverse_transform(indicator_mat), inp)
# fit().transform()
mlb = MultiLabelBinarizer()
assert_array_equal(mlb.fit(inp).transform(inp), indicator_mat)
assert_array_equal(mlb.classes_, classes)
assert_array_equal(mlb.inverse_transform(indicator_mat), inp)
mlb = MultiLabelBinarizer()
assert_raises(TypeError, mlb.fit_transform, [({}), ({}, {'a': 'b'})])
def test_multilabel_binarizer_non_unique():
inp = [(1, 1, 1, 0)]
indicator_mat = np.array([[1, 1]])
mlb = MultiLabelBinarizer()
assert_array_equal(mlb.fit_transform(inp), indicator_mat)
def test_multilabel_binarizer_inverse_validation():
inp = [(1, 1, 1, 0)]
mlb = MultiLabelBinarizer()
mlb.fit_transform(inp)
# Not binary
assert_raises(ValueError, mlb.inverse_transform, np.array([[1, 3]]))
# The following binary cases are fine, however
mlb.inverse_transform(np.array([[0, 0]]))
mlb.inverse_transform(np.array([[1, 1]]))
mlb.inverse_transform(np.array([[1, 0]]))
# Wrong shape
assert_raises(ValueError, mlb.inverse_transform, np.array([[1]]))
assert_raises(ValueError, mlb.inverse_transform, np.array([[1, 1, 1]]))
def test_label_binarize_with_class_order():
out = label_binarize([1, 6], classes=[1, 2, 4, 6])
expected = np.array([[1, 0, 0, 0], [0, 0, 0, 1]])
assert_array_equal(out, expected)
# Modified class order
out = label_binarize([1, 6], classes=[1, 6, 4, 2])
expected = np.array([[1, 0, 0, 0], [0, 1, 0, 0]])
assert_array_equal(out, expected)
out = label_binarize([0, 1, 2, 3], classes=[3, 2, 0, 1])
expected = np.array([[0, 0, 1, 0],
[0, 0, 0, 1],
[0, 1, 0, 0],
[1, 0, 0, 0]])
assert_array_equal(out, expected)
def check_binarized_results(y, classes, pos_label, neg_label, expected):
for sparse_output in [True, False]:
if ((pos_label == 0 or neg_label != 0) and sparse_output):
assert_raises(ValueError, label_binarize, y, classes,
neg_label=neg_label, pos_label=pos_label,
sparse_output=sparse_output)
continue
# check label_binarize
binarized = label_binarize(y, classes, neg_label=neg_label,
pos_label=pos_label,
sparse_output=sparse_output)
assert_array_equal(toarray(binarized), expected)
assert_equal(issparse(binarized), sparse_output)
# check inverse
y_type = type_of_target(y)
if y_type == "multiclass":
inversed = _inverse_binarize_multiclass(binarized, classes=classes)
else:
inversed = _inverse_binarize_thresholding(binarized,
output_type=y_type,
classes=classes,
threshold=((neg_label +
pos_label) /
2.))
assert_array_equal(toarray(inversed), toarray(y))
# Check label binarizer
lb = LabelBinarizer(neg_label=neg_label, pos_label=pos_label,
sparse_output=sparse_output)
binarized = lb.fit_transform(y)
assert_array_equal(toarray(binarized), expected)
assert_equal(issparse(binarized), sparse_output)
inverse_output = lb.inverse_transform(binarized)
assert_array_equal(toarray(inverse_output), toarray(y))
assert_equal(issparse(inverse_output), issparse(y))
def test_label_binarize_binary():
y = [0, 1, 0]
classes = [0, 1]
pos_label = 2
neg_label = -1
expected = np.array([[2, -1], [-1, 2], [2, -1]])[:, 1].reshape((-1, 1))
yield check_binarized_results, y, classes, pos_label, neg_label, expected
# Binary case where sparse_output = True will not result in a ValueError
y = [0, 1, 0]
classes = [0, 1]
pos_label = 3
neg_label = 0
expected = np.array([[3, 0], [0, 3], [3, 0]])[:, 1].reshape((-1, 1))
yield check_binarized_results, y, classes, pos_label, neg_label, expected
def test_label_binarize_multiclass():
y = [0, 1, 2]
classes = [0, 1, 2]
pos_label = 2
neg_label = 0
expected = 2 * np.eye(3)
yield check_binarized_results, y, classes, pos_label, neg_label, expected
assert_raises(ValueError, label_binarize, y, classes, neg_label=-1,
pos_label=pos_label, sparse_output=True)
def test_label_binarize_multilabel():
y_ind = np.array([[0, 1, 0], [1, 1, 1], [0, 0, 0]])
classes = [0, 1, 2]
pos_label = 2
neg_label = 0
expected = pos_label * y_ind
y_sparse = [sparse_matrix(y_ind)
for sparse_matrix in [coo_matrix, csc_matrix, csr_matrix,
dok_matrix, lil_matrix]]
for y in [y_ind] + y_sparse:
yield (check_binarized_results, y, classes, pos_label, neg_label,
expected)
assert_raises(ValueError, label_binarize, y, classes, neg_label=-1,
pos_label=pos_label, sparse_output=True)
def test_invalid_input_label_binarize():
assert_raises(ValueError, label_binarize, [0, 2], classes=[0, 2],
pos_label=0, neg_label=1)
def test_inverse_binarize_multiclass():
got = _inverse_binarize_multiclass(csr_matrix([[0, 1, 0],
[-1, 0, -1],
[0, 0, 0]]),
np.arange(3))
assert_array_equal(got, np.array([1, 1, 0]))
| bsd-3-clause |
ville-k/tensorflow | tensorflow/contrib/learn/python/learn/tests/dataframe/dataframe_test.py | 62 | 3753 | # Copyright 2016 The TensorFlow Authors. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
# ==============================================================================
"""Tests of the DataFrame class."""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
from tensorflow.contrib.learn.python import learn
from tensorflow.contrib.learn.python.learn.tests.dataframe import mocks
from tensorflow.python.framework import dtypes
from tensorflow.python.platform import test
def setup_test_df():
"""Create a dataframe populated with some test columns."""
df = learn.DataFrame()
df["a"] = learn.TransformedSeries(
[mocks.MockSeries("foobar", mocks.MockTensor("Tensor a", dtypes.int32))],
mocks.MockTwoOutputTransform("iue", "eui", "snt"), "out1")
df["b"] = learn.TransformedSeries(
[mocks.MockSeries("foobar", mocks.MockTensor("Tensor b", dtypes.int32))],
mocks.MockTwoOutputTransform("iue", "eui", "snt"), "out2")
df["c"] = learn.TransformedSeries(
[mocks.MockSeries("foobar", mocks.MockTensor("Tensor c", dtypes.int32))],
mocks.MockTwoOutputTransform("iue", "eui", "snt"), "out1")
return df
class DataFrameTest(test.TestCase):
"""Test of `DataFrame`."""
def test_create(self):
df = setup_test_df()
self.assertEqual(df.columns(), frozenset(["a", "b", "c"]))
def test_select_columns(self):
df = setup_test_df()
df2 = df.select_columns(["a", "c"])
self.assertEqual(df2.columns(), frozenset(["a", "c"]))
def test_exclude_columns(self):
df = setup_test_df()
df2 = df.exclude_columns(["a", "c"])
self.assertEqual(df2.columns(), frozenset(["b"]))
def test_get_item(self):
df = setup_test_df()
c1 = df["b"]
self.assertEqual(
mocks.MockTensor("Mock Tensor 2", dtypes.int32), c1.build())
def test_del_item_column(self):
df = setup_test_df()
self.assertEqual(3, len(df))
del df["b"]
self.assertEqual(2, len(df))
self.assertEqual(df.columns(), frozenset(["a", "c"]))
def test_set_item_column(self):
df = setup_test_df()
self.assertEqual(3, len(df))
col1 = mocks.MockSeries("QuackColumn",
mocks.MockTensor("Tensor ", dtypes.int32))
df["quack"] = col1
self.assertEqual(4, len(df))
col2 = df["quack"]
self.assertEqual(col1, col2)
def test_set_item_column_multi(self):
df = setup_test_df()
self.assertEqual(3, len(df))
col1 = mocks.MockSeries("QuackColumn", [])
col2 = mocks.MockSeries("MooColumn", [])
df["quack", "moo"] = [col1, col2]
self.assertEqual(5, len(df))
col3 = df["quack"]
self.assertEqual(col1, col3)
col4 = df["moo"]
self.assertEqual(col2, col4)
def test_set_item_pandas(self):
# TODO(jamieas)
pass
def test_set_item_numpy(self):
# TODO(jamieas)
pass
def test_build(self):
df = setup_test_df()
result = df.build()
expected = {
"a": mocks.MockTensor("Mock Tensor 1", dtypes.int32),
"b": mocks.MockTensor("Mock Tensor 2", dtypes.int32),
"c": mocks.MockTensor("Mock Tensor 1", dtypes.int32)
}
self.assertEqual(expected, result)
if __name__ == "__main__":
test.main()
| apache-2.0 |
RedlineResearch/ardupilot | Tools/mavproxy_modules/lib/magcal_graph_ui.py | 108 | 8248 | # Copyright (C) 2016 Intel Corporation. All rights reserved.
#
# This file is free software: you can redistribute it and/or modify it
# under the terms of the GNU General Public License as published by the
# Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This file is distributed in the hope that it will be useful, but
# WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
# See the GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License along
# with this program. If not, see <http://www.gnu.org/licenses/>.
import matplotlib.pyplot as plt
from matplotlib.backends.backend_wxagg import FigureCanvas
from mpl_toolkits.mplot3d import Axes3D
from mpl_toolkits.mplot3d.art3d import Poly3DCollection
from pymavlink.mavutil import mavlink
from MAVProxy.modules.lib import wx_processguard
from MAVProxy.modules.lib.wx_loader import wx
import geodesic_grid as grid
class MagcalPanel(wx.Panel):
_status_markup_strings = {
mavlink.MAG_CAL_NOT_STARTED: 'Not started',
mavlink.MAG_CAL_WAITING_TO_START: 'Waiting to start',
mavlink.MAG_CAL_RUNNING_STEP_ONE: 'Step one',
mavlink.MAG_CAL_RUNNING_STEP_TWO: 'Step two',
mavlink.MAG_CAL_SUCCESS: '<span color="blue">Success</span>',
mavlink.MAG_CAL_FAILED: '<span color="red">Failed</span>',
}
_empty_color = '#7ea6ce'
_filled_color = '#4680b9'
def __init__(self, *k, **kw):
super(MagcalPanel, self).__init__(*k, **kw)
facecolor = self.GetBackgroundColour().GetAsString(wx.C2S_HTML_SYNTAX)
fig = plt.figure(facecolor=facecolor, figsize=(1,1))
self._canvas = FigureCanvas(self, wx.ID_ANY, fig)
self._canvas.SetMinSize((300,300))
self._id_text = wx.StaticText(self, wx.ID_ANY)
self._status_text = wx.StaticText(self, wx.ID_ANY)
self._completion_pct_text = wx.StaticText(self, wx.ID_ANY)
sizer = wx.BoxSizer(wx.VERTICAL)
sizer.Add(self._id_text)
sizer.Add(self._status_text)
sizer.Add(self._completion_pct_text)
sizer.Add(self._canvas, proportion=1, flag=wx.EXPAND)
self.SetSizer(sizer)
ax = fig.add_subplot(111, axis_bgcolor=facecolor, projection='3d')
self.configure_plot(ax)
def configure_plot(self, ax):
extra = .5
lim = grid.radius + extra
ax.set_xlim3d(-lim, lim)
ax.set_ylim3d(-lim, lim)
ax.set_zlim3d(-lim, lim)
ax.set_xlabel('x')
ax.set_ylabel('y')
ax.set_zlabel('z')
ax.invert_zaxis()
ax.invert_xaxis()
ax.set_aspect('equal')
self._polygons_collection = Poly3DCollection(
grid.sections_triangles,
edgecolors='#386694',
)
ax.add_collection3d(self._polygons_collection)
def update_status_from_mavlink(self, m):
status_string = self._status_markup_strings.get(m.cal_status, '???')
self._status_text.SetLabelMarkup(
'<b>Status:</b> %s' % status_string,
)
def mavlink_magcal_report(self, m):
self.update_status_from_mavlink(m)
self._completion_pct_text.SetLabel('')
def mavlink_magcal_progress(self, m):
facecolors = []
for i, mask in enumerate(m.completion_mask):
for j in range(8):
section = i * 8 + j
if mask & 1 << j:
facecolor = self._filled_color
else:
facecolor = self._empty_color
facecolors.append(facecolor)
self._polygons_collection.set_facecolors(facecolors)
self._canvas.draw()
self._id_text.SetLabelMarkup(
'<b>Compass id:</b> %d' % m.compass_id
)
self._completion_pct_text.SetLabelMarkup(
'<b>Completion:</b> %d%%' % m.completion_pct
)
self.update_status_from_mavlink(m)
_legend_panel = None
@staticmethod
def legend_panel(*k, **kw):
if MagcalPanel._legend_panel:
return MagcalPanel._legend_panel
p = MagcalPanel._legend_panel = wx.Panel(*k, **kw)
sizer = wx.BoxSizer(wx.HORIZONTAL)
p.SetSizer(sizer)
marker = wx.Panel(p, wx.ID_ANY, size=(10, 10))
marker.SetBackgroundColour(MagcalPanel._empty_color)
sizer.Add(marker, flag=wx.ALIGN_CENTER)
text = wx.StaticText(p, wx.ID_ANY)
text.SetLabel('Sections not hit')
sizer.Add(text, border=4, flag=wx.ALIGN_CENTER | wx.LEFT)
marker = wx.Panel(p, wx.ID_ANY, size=(10, 10))
marker.SetBackgroundColour(MagcalPanel._filled_color)
sizer.Add(marker, border=10, flag=wx.ALIGN_CENTER | wx.LEFT)
text = wx.StaticText(p, wx.ID_ANY)
text.SetLabel('Sections hit')
sizer.Add(text, border=4, flag=wx.ALIGN_CENTER | wx.LEFT)
return p
class MagcalFrame(wx.Frame):
def __init__(self, conn):
super(MagcalFrame, self).__init__(
None,
wx.ID_ANY,
title='Magcal Graph',
)
self.SetMinSize((300, 300))
self._conn = conn
self._main_panel = wx.ScrolledWindow(self, wx.ID_ANY)
self._main_panel.SetScrollbars(1, 1, 1, 1)
self._magcal_panels = {}
self._sizer = wx.BoxSizer(wx.VERTICAL)
self._main_panel.SetSizer(self._sizer)
idle_text = wx.StaticText(self._main_panel, wx.ID_ANY)
idle_text.SetLabelMarkup('<i>No calibration messages received yet...</i>')
idle_text.SetForegroundColour('#444444')
self._sizer.AddStretchSpacer()
self._sizer.Add(
idle_text,
proportion=0,
flag=wx.ALIGN_CENTER | wx.ALL,
border=10,
)
self._sizer.AddStretchSpacer()
self._timer = wx.Timer(self)
self.Bind(wx.EVT_TIMER, self.timer_callback, self._timer)
self._timer.Start(200)
def add_compass(self, id):
if not self._magcal_panels:
self._sizer.Clear(deleteWindows=True)
self._magcal_panels_sizer = wx.BoxSizer(wx.HORIZONTAL)
self._sizer.Add(
self._magcal_panels_sizer,
proportion=1,
flag=wx.EXPAND,
)
legend = MagcalPanel.legend_panel(self._main_panel, wx.ID_ANY)
self._sizer.Add(
legend,
proportion=0,
flag=wx.ALIGN_CENTER,
)
self._magcal_panels[id] = MagcalPanel(self._main_panel, wx.ID_ANY)
self._magcal_panels_sizer.Add(
self._magcal_panels[id],
proportion=1,
border=10,
flag=wx.EXPAND | wx.ALL,
)
def timer_callback(self, evt):
close_requested = False
mavlink_msgs = {}
while self._conn.poll():
m = self._conn.recv()
if isinstance(m, str) and m == 'close':
close_requested = True
continue
if m.compass_id not in mavlink_msgs:
# Keep the last two messages so that we get the last progress
# if the last message is the calibration report.
mavlink_msgs[m.compass_id] = [None, m]
else:
l = mavlink_msgs[m.compass_id]
l[0] = l[1]
l[1] = m
if close_requested:
self._timer.Stop()
self.Destroy()
return
if not mavlink_msgs:
return
needs_fit = False
for k in mavlink_msgs:
if k not in self._magcal_panels:
self.add_compass(k)
needs_fit = True
if needs_fit:
self._sizer.Fit(self)
for k, l in mavlink_msgs.items():
for m in l:
if not m:
continue
panel = self._magcal_panels[k]
if m.get_type() == 'MAG_CAL_PROGRESS':
panel.mavlink_magcal_progress(m)
elif m.get_type() == 'MAG_CAL_REPORT':
panel.mavlink_magcal_report(m)
| gpl-3.0 |
wind-python/windpowerlib | tests/test_power_output.py | 1 | 10987 | """
SPDX-FileCopyrightText: 2019 oemof developer group <[email protected]>
SPDX-License-Identifier: MIT
"""
from typing import Dict
import numpy as np
import pandas as pd
import pytest
from numpy.testing import assert_allclose
from pandas.util.testing import assert_series_equal
from windpowerlib.power_output import (
power_coefficient_curve,
power_curve,
power_curve_density_correction,
)
class TestPowerOutput:
def setup_class(self):
self.parameters: Dict = {
"wind_speed": pd.Series(data=[2.0, 5.5, 7.0]),
"density": pd.Series(data=[1.3, 1.3, 1.3]),
"rotor_diameter": 80,
"power_coefficient_curve_wind_speeds": pd.Series([4.0, 5.0, 6.0]),
"power_coefficient_curve_values": pd.Series([0.3, 0.4, 0.5]),
}
self.parameters2: Dict = {
"wind_speed": pd.Series(data=[2.0, 5.5, 7.0]),
"density": pd.Series(data=[1.3, 1.3, 1.3]),
"density_correction": False,
"power_curve_wind_speeds": pd.Series([4.0, 5.0, 6.0]),
"power_curve_values": pd.Series([300, 400, 500]),
}
self.power_output_exp1 = pd.Series(
data=[0.0, 450.0, 0.0], name="feedin_power_plant"
)
self.power_output_exp2 = pd.Series(
data=[0.0, 461.00290572, 0.0], name="feedin_power_plant"
)
def test_power_coefficient_curve_1(self):
"""
Test wind_speed as pd.Series with density and power_coefficient_curve
as pd.Series and np.array
"""
power_output_exp = pd.Series(
data=[0.0, 244615.399, 0.0], name="feedin_power_plant"
)
assert_series_equal(
power_coefficient_curve(**self.parameters), power_output_exp
)
parameters = self.parameters
parameters["density"].to_numpy()
assert_series_equal(
power_coefficient_curve(**parameters), power_output_exp
)
parameters["power_coefficient_curve_values"] = np.array(
parameters["power_coefficient_curve_values"]
)
parameters["power_coefficient_curve_wind_speeds"] = np.array(
parameters["power_coefficient_curve_wind_speeds"]
)
assert_series_equal(
power_coefficient_curve(**parameters), power_output_exp
)
def test_power_coefficient_curve_output_types(self):
"""
Test wind_speed as np.array with density and power_coefficient_curve
as np.array and pd.Series
"""
assert isinstance(
power_coefficient_curve(**self.parameters), pd.Series
)
self.parameters["wind_speed"] = np.array(self.parameters["wind_speed"])
assert isinstance(
power_coefficient_curve(**self.parameters), np.ndarray
)
def test_power_coefficient_curve_2(self):
"""TODO: Explain this test"""
parameters = self.parameters
power_output_exp = np.array([0.0, 244615.399, 0.0])
parameters["wind_speed"] = np.array(parameters["wind_speed"])
assert_allclose(
power_coefficient_curve(**parameters), power_output_exp
)
parameters["density"] = pd.Series(data=parameters["density"])
assert_allclose(
power_coefficient_curve(**parameters), power_output_exp
)
assert isinstance(power_coefficient_curve(**parameters), np.ndarray)
parameters["power_coefficient_curve_wind_speeds"] = pd.Series(
data=parameters["power_coefficient_curve_wind_speeds"]
)
parameters["power_coefficient_curve_values"] = pd.Series(
data=parameters["power_coefficient_curve_values"]
)
assert_allclose(
power_coefficient_curve(**parameters), power_output_exp
)
assert isinstance(power_coefficient_curve(**parameters), np.ndarray)
def test_power_curve_1(self):
# Tests without density correction:
# Test wind_speed as pd.Series and power_curve as pd.Series and
# np.array
assert_series_equal(
power_curve(**self.parameters2), self.power_output_exp1
)
def test_power_curve_2(self):
"""TODO: Explain this test"""
self.parameters2["power_curve_values"] = np.array(
self.parameters2["power_curve_values"]
)
self.parameters2["power_curve_wind_speeds"] = np.array(
self.parameters2["power_curve_wind_speeds"]
)
assert_series_equal(
power_curve(**self.parameters2), self.power_output_exp1
)
def test_power_curve_3(self):
"""
Test wind_speed as np.array and power_curve as
pd.Series and np.array
"""
power_output_exp = np.array(self.power_output_exp1)
self.parameters2["wind_speed"] = np.array(
self.parameters2["wind_speed"]
)
assert_allclose(power_curve(**self.parameters2), power_output_exp)
assert isinstance(power_curve(**self.parameters2), np.ndarray)
def test_power_curve_4(self):
"""TODO: Explain this test"""
self.parameters2["power_curve_wind_speeds"] = pd.Series(
data=self.parameters2["power_curve_wind_speeds"]
)
self.parameters2["power_curve_values"] = pd.Series(
data=self.parameters2["power_curve_values"]
)
assert_allclose(
power_curve(**self.parameters2), self.power_output_exp1
)
assert isinstance(power_curve(**self.parameters2), np.ndarray)
def test_power_curve_5(self):
"""
Tests with density correction:
Test wind_speed as np.array with density and power_curve as pd.Series
and np.array
"""
power_output_exp = np.array(self.power_output_exp2)
self.parameters2["density_correction"] = True
assert_allclose(power_curve(**self.parameters2), power_output_exp)
assert isinstance(power_curve(**self.parameters2), np.ndarray)
def test_power_curve_6(self):
"""TODO: Explain this test"""
self.parameters2["density"] = np.array(self.parameters2["density"])
assert_allclose(
power_curve(**self.parameters2), self.power_output_exp2
)
assert isinstance(power_curve(**self.parameters2), np.ndarray)
def test_power_curve_7(self):
"""TODO: Explain this test"""
self.parameters2["power_curve_values"] = np.array(
self.parameters2["power_curve_values"]
)
self.parameters2["power_curve_wind_speeds"] = np.array(
self.parameters2["power_curve_wind_speeds"]
)
assert_allclose(
power_curve(**self.parameters2), self.power_output_exp2
)
assert isinstance(power_curve(**self.parameters2), np.ndarray)
def test_power_curve_8(self):
"""
Test wind_speed as pd.Series with density and power_curve as np. array
and pd.Series
"""
self.parameters2["wind_speed"] = pd.Series(
data=self.parameters2["wind_speed"]
)
assert_series_equal(
power_curve(**self.parameters2), self.power_output_exp2
)
def test_power_curve_9(self):
"""TODO: Explain this test"""
self.parameters2["density"] = pd.Series(
data=self.parameters2["density"]
)
assert_series_equal(
power_curve(**self.parameters2), self.power_output_exp2
)
def test_power_curve_10(self):
"""TODO: Explain this test"""
self.parameters2["power_curve_wind_speeds"] = pd.Series(
data=self.parameters2["power_curve_wind_speeds"]
)
self.parameters2["power_curve_values"] = pd.Series(
data=self.parameters2["power_curve_values"]
)
assert_series_equal(
power_curve(**self.parameters2), self.power_output_exp2
)
def test_power_curve_density_correction(self):
"""TODO: Explain and split this test."""
parameters = {
"wind_speed": pd.Series(data=[2.0, 5.5, 7.0]),
"density": pd.Series(data=[1.3, 1.3, 1.3]),
"power_curve_wind_speeds": pd.Series([4.0, 5.0, 6.0]),
"power_curve_values": pd.Series([300, 400, 500]),
}
# Test wind_speed as pd.Series with density and power_curve as
# pd.Series and np.array
power_output_exp = pd.Series(
data=[0.0, 461.00290572, 0.0], name="feedin_power_plant"
)
assert_series_equal(
power_curve_density_correction(**parameters), power_output_exp
)
parameters["density"] = np.array(parameters["density"])
assert_series_equal(
power_curve_density_correction(**parameters), power_output_exp
)
parameters["power_curve_values"] = np.array(
parameters["power_curve_values"]
)
parameters["power_curve_wind_speeds"] = np.array(
parameters["power_curve_wind_speeds"]
)
assert_series_equal(
power_curve_density_correction(**parameters), power_output_exp
)
# Test wind_speed as np.array with density and power_curve as np.array
# and pd.Series
parameters["wind_speed"] = np.array(parameters["wind_speed"])
power_output_exp = np.array([0.0, 461.00290572, 0.0])
assert_allclose(
power_curve_density_correction(**parameters), power_output_exp
)
assert isinstance(power_curve(**parameters), np.ndarray)
parameters["density"] = pd.Series(data=parameters["density"])
assert_allclose(
power_curve_density_correction(**parameters), power_output_exp
)
assert isinstance(power_curve(**parameters), np.ndarray)
parameters["power_curve_wind_speeds"] = pd.Series(
data=parameters["power_curve_wind_speeds"]
)
parameters["power_curve_values"] = pd.Series(
data=parameters["power_curve_values"]
)
assert_allclose(
power_curve_density_correction(**parameters), power_output_exp
)
assert isinstance(power_curve(**parameters), np.ndarray)
# Raise TypeError due to density is None
with pytest.raises(TypeError):
parameters["density"] = None
power_curve_density_correction(**parameters)
def test_wrong_spelling_density_correction(self):
parameters = {
"wind_speed": pd.Series(data=[2.0, 5.5, 7.0]),
"density": pd.Series(data=[1.3, 1.3, 1.3]),
"power_curve_wind_speeds": pd.Series([4.0, 5.0, 6.0]),
"power_curve_values": pd.Series([300, 400, 500]),
}
msg = "is an invalid type. `density_correction` must be Boolean"
with pytest.raises(TypeError, match=msg):
parameters["density_correction"] = None
power_curve(**parameters)
| mit |
neerajhirani/BDA_py_demos | demos_ch10/demo10_1.py | 19 | 4102 | """Bayesian data analysis
Chapter 10, demo 1
Rejection sampling example
"""
from __future__ import division
import numpy as np
from scipy import stats
import matplotlib as mpl
import matplotlib.pyplot as plt
# edit default plot settings (colours from colorbrewer2.org)
plt.rc('font', size=14)
plt.rc('lines', color='#377eb8', linewidth=2, markeredgewidth=0)
plt.rc('axes', color_cycle=('#377eb8','#e41a1c','#4daf4a',
'#984ea3','#ff7f00','#ffff33'))
plt.rc('patch', facecolor='#bfe2ff')
# fake interesting distribution
x = np.linspace(-3, 3, 200)
r = np.array([ 1.1 , 1.3 , -0.1 , -0.7 , 0.2 , -0.4 , 0.06, -1.7 ,
1.7 , 0.3 , 0.7 , 1.6 , -2.06, -0.74, 0.2 , 0.5 ])
# Estimate the density (named q, to emphesize that it does not need to be
# normalized). Parameter bw_method=0.48 is used to mimic the outcome of the
# kernelp function in Matlab.
q = stats.gaussian_kde(r, bw_method=0.48).evaluate(x)
# rejection sampling example
g_mean = 0
g_std = 1.1
g = stats.norm.pdf(x, loc=g_mean, scale=g_std)
# M is computed by discrete approximation
M = np.max(q/g)
# prescale
g *= M
# plot the densities
plt.figure()
plt.plot(x, q)
plt.plot(x, g, linestyle='--')
plt.fill_between(x, q)
plt.legend((r'$q(\theta|y)$', r'$Mg(\theta)$'))
plt.yticks(())
plt.title('Rejection sampling')
plt.ylim([0, 1.1*g.max()])
# illustrate one sample
r1 = -0.8
zi = np.argmin(np.abs(x-r1)) # find the closest grid point
plt.plot((x[zi], x[zi]), (0, q[zi]), color='gray')
plt.plot((x[zi], x[zi]), (q[zi], g[zi]), color='gray', linestyle='--')
r21 = 0.3 * g[zi]
r22 = 0.8 * g[zi]
plt.plot(r1, r21, marker='o', color='#4daf4a', markersize=12)
plt.plot(r1, r22, marker='o', color='#e41a1c', markersize=12)
# add annotations
plt.text(x[zi], q[zi], r'$\leftarrow \, q(\theta=r|y)$', fontsize=18)
plt.text(x[zi], g[zi], r'$\leftarrow \, g(\theta=r)$', fontsize=18)
plt.text(r1-0.1, r21, 'accepted', horizontalalignment='right')
plt.text(r1-0.1, r22, 'rejected', horizontalalignment='right')
# get nsamp samples
nsamp = 200
r1 = stats.norm.rvs(size=nsamp, loc=g_mean, scale=g_std)
zi = np.argmin(np.abs(x[:,None] - r1), axis=0)
r2 = np.random.rand(nsamp) * g[zi]
acc = r2 < q[zi]
# plot the densities againg
plotgrid = mpl.gridspec.GridSpec(2, 1, height_ratios=[5,1])
fig = plt.figure()
ax0 = plt.subplot(plotgrid[0])
plt.plot(x, q)
plt.plot(x, g, linestyle='--')
plt.fill_between(x, q)
plt.xticks(())
plt.yticks(())
plt.title('Rejection sampling')
plt.ylim([0, 1.1*g.max()])
plt.xlim((x[0],x[-1]))
# the samples
plt.scatter(r1[~acc], r2[~acc], 40, color='#ff999a')
plt.scatter(r1[acc], r2[acc], 40, color='#4daf4a')
plt.legend((r'$q(\theta|y)$', r'$Mg(\theta)$', 'rejected', 'accepted'))
# only accepted samples
ax1 = plt.subplot(plotgrid[1])
plt.scatter(r1[acc], np.ones(np.count_nonzero(acc)), 40, color='#4daf4a', alpha=0.3)
plt.yticks(())
plt.xlim((x[0],x[-1]))
# add inter-axis lines
transf = fig.transFigure.inverted()
for i in range(nsamp):
if acc[i] and x[0] < r1[i] and r1[i] < x[-1]:
coord1 = transf.transform(ax0.transData.transform([r1[i], r2[i]]))
coord2 = transf.transform(ax1.transData.transform([r1[i], 1]))
fig.lines.append(mpl.lines.Line2D(
(coord1[0], coord2[0]),
(coord1[1], coord2[1]),
transform=fig.transFigure,
alpha=0.2
))
# alternative proposal distribution
g = np.empty(x.shape)
g[x <= -1.5] = np.linspace(q[0], np.max(q[x<=-1.5]), len(x[x<=-1.5]))
g[(x > -1.5) & (x <= 0.2)] = np.linspace(
np.max(q[x<=-1.5]),
np.max(q[(x>-1.5) & (x<=0.2)]),
len(x[(x>-1.5) & (x<=0.2)])
)
g[(x > 0.2) & (x <= 2.3)] = np.linspace(
np.max(q[(x>-1.5) & (x<=0.2)]),
np.max(q[x>2.3]),
len(x[(x>0.2) & (x<=2.3)])
)
g[x > 2.3] = np.linspace(np.max(q[x>2.3]), q[-1], len(x[x>2.3]))
M = np.max(q/g)
g *= M
# plot
plt.figure()
plt.plot(x, q)
plt.plot(x, g, linestyle='--')
plt.fill_between(x, q)
plt.legend((r'$q(\theta|y)$', r'$Mg(\theta)$'))
plt.yticks(())
plt.title('Rejection sampling - alternative proposal distribution')
plt.ylim([0, 1.1*g.max()])
plt.show()
| gpl-3.0 |
fspaolo/scikit-learn | sklearn/covariance/tests/test_graph_lasso.py | 5 | 2321 | """ Test the graph_lasso module.
"""
import sys
import numpy as np
from scipy import linalg
from sklearn.utils.testing import assert_array_almost_equal
from sklearn.utils.testing import assert_array_less
from sklearn.covariance import (graph_lasso, GraphLasso, GraphLassoCV,
empirical_covariance)
from sklearn.datasets.samples_generator import make_sparse_spd_matrix
from sklearn.externals.six.moves import StringIO
from sklearn.utils import check_random_state
def test_graph_lasso(random_state=0):
# Sample data from a sparse multivariate normal
dim = 20
n_samples = 100
random_state = check_random_state(random_state)
prec = make_sparse_spd_matrix(dim, alpha=.95,
random_state=random_state)
cov = linalg.inv(prec)
X = random_state.multivariate_normal(np.zeros(dim), cov, size=n_samples)
emp_cov = empirical_covariance(X)
for alpha in (.1, .01):
covs = dict()
for method in ('cd', 'lars'):
cov_, _, costs = graph_lasso(emp_cov, alpha=.1, return_costs=True)
covs[method] = cov_
costs, dual_gap = np.array(costs).T
# Check that the costs always decrease
assert_array_less(np.diff(costs), 0)
# Check that the 2 approaches give similar results
assert_array_almost_equal(covs['cd'], covs['lars'])
# Smoke test the estimator
model = GraphLasso(alpha=.1).fit(X)
assert_array_almost_equal(model.covariance_, covs['cd'])
def test_graph_lasso_cv(random_state=1):
# Sample data from a sparse multivariate normal
dim = 5
n_samples = 6
random_state = check_random_state(random_state)
prec = make_sparse_spd_matrix(dim, alpha=.96,
random_state=random_state)
cov = linalg.inv(prec)
X = random_state.multivariate_normal(np.zeros(dim), cov, size=n_samples)
# Capture stdout, to smoke test the verbose mode
orig_stdout = sys.stdout
try:
sys.stdout = StringIO()
# We need verbose very high so that Parallel prints on stdout
GraphLassoCV(verbose=100, alphas=3, tol=1e-1).fit(X)
finally:
sys.stdout = orig_stdout
# Smoke test with specified alphas
GraphLassoCV(alphas=[0.8, 0.5], tol=1e-1, n_jobs=1).fit(X)
| bsd-3-clause |
moutai/scikit-learn | sklearn/utils/random.py | 37 | 10511 | # Author: Hamzeh Alsalhi <[email protected]>
#
# License: BSD 3 clause
from __future__ import division
import numpy as np
import scipy.sparse as sp
import operator
import array
from sklearn.utils import check_random_state
from sklearn.utils.fixes import astype
from ._random import sample_without_replacement
__all__ = ['sample_without_replacement', 'choice']
# This is a backport of np.random.choice from numpy 1.7
# The function can be removed when we bump the requirements to >=1.7
def choice(a, size=None, replace=True, p=None, random_state=None):
"""
choice(a, size=None, replace=True, p=None)
Generates a random sample from a given 1-D array
.. versionadded:: 1.7.0
Parameters
-----------
a : 1-D array-like or int
If an ndarray, a random sample is generated from its elements.
If an int, the random sample is generated as if a was np.arange(n)
size : int or tuple of ints, optional
Output shape. Default is None, in which case a single value is
returned.
replace : boolean, optional
Whether the sample is with or without replacement.
p : 1-D array-like, optional
The probabilities associated with each entry in a.
If not given the sample assumes a uniform distribution over all
entries in a.
random_state : int, RandomState instance or None, optional (default=None)
If int, random_state is the seed used by the random number generator;
If RandomState instance, random_state is the random number generator;
If None, the random number generator is the RandomState instance used
by `np.random`.
Returns
--------
samples : 1-D ndarray, shape (size,)
The generated random samples
Raises
-------
ValueError
If a is an int and less than zero, if a or p are not 1-dimensional,
if a is an array-like of size 0, if p is not a vector of
probabilities, if a and p have different lengths, or if
replace=False and the sample size is greater than the population
size
See Also
---------
randint, shuffle, permutation
Examples
---------
Generate a uniform random sample from np.arange(5) of size 3:
>>> np.random.choice(5, 3) # doctest: +SKIP
array([0, 3, 4])
>>> #This is equivalent to np.random.randint(0,5,3)
Generate a non-uniform random sample from np.arange(5) of size 3:
>>> np.random.choice(5, 3, p=[0.1, 0, 0.3, 0.6, 0]) # doctest: +SKIP
array([3, 3, 0])
Generate a uniform random sample from np.arange(5) of size 3 without
replacement:
>>> np.random.choice(5, 3, replace=False) # doctest: +SKIP
array([3,1,0])
>>> #This is equivalent to np.random.shuffle(np.arange(5))[:3]
Generate a non-uniform random sample from np.arange(5) of size
3 without replacement:
>>> np.random.choice(5, 3, replace=False, p=[0.1, 0, 0.3, 0.6, 0])
... # doctest: +SKIP
array([2, 3, 0])
Any of the above can be repeated with an arbitrary array-like
instead of just integers. For instance:
>>> aa_milne_arr = ['pooh', 'rabbit', 'piglet', 'Christopher']
>>> np.random.choice(aa_milne_arr, 5, p=[0.5, 0.1, 0.1, 0.3])
... # doctest: +SKIP
array(['pooh', 'pooh', 'pooh', 'Christopher', 'piglet'],
dtype='|S11')
"""
random_state = check_random_state(random_state)
# Format and Verify input
a = np.array(a, copy=False)
if a.ndim == 0:
try:
# __index__ must return an integer by python rules.
pop_size = operator.index(a.item())
except TypeError:
raise ValueError("a must be 1-dimensional or an integer")
if pop_size <= 0:
raise ValueError("a must be greater than 0")
elif a.ndim != 1:
raise ValueError("a must be 1-dimensional")
else:
pop_size = a.shape[0]
if pop_size is 0:
raise ValueError("a must be non-empty")
if None != p:
p = np.array(p, dtype=np.double, ndmin=1, copy=False)
if p.ndim != 1:
raise ValueError("p must be 1-dimensional")
if p.size != pop_size:
raise ValueError("a and p must have same size")
if np.any(p < 0):
raise ValueError("probabilities are not non-negative")
if not np.allclose(p.sum(), 1):
raise ValueError("probabilities do not sum to 1")
shape = size
if shape is not None:
size = np.prod(shape, dtype=np.intp)
else:
size = 1
# Actual sampling
if replace:
if None != p:
cdf = p.cumsum()
cdf /= cdf[-1]
uniform_samples = random_state.random_sample(shape)
idx = cdf.searchsorted(uniform_samples, side='right')
# searchsorted returns a scalar
idx = np.array(idx, copy=False)
else:
idx = random_state.randint(0, pop_size, size=shape)
else:
if size > pop_size:
raise ValueError("Cannot take a larger sample than "
"population when 'replace=False'")
if None != p:
if np.sum(p > 0) < size:
raise ValueError("Fewer non-zero entries in p than size")
n_uniq = 0
p = p.copy()
found = np.zeros(shape, dtype=np.int)
flat_found = found.ravel()
while n_uniq < size:
x = random_state.rand(size - n_uniq)
if n_uniq > 0:
p[flat_found[0:n_uniq]] = 0
cdf = np.cumsum(p)
cdf /= cdf[-1]
new = cdf.searchsorted(x, side='right')
_, unique_indices = np.unique(new, return_index=True)
unique_indices.sort()
new = new.take(unique_indices)
flat_found[n_uniq:n_uniq + new.size] = new
n_uniq += new.size
idx = found
else:
idx = random_state.permutation(pop_size)[:size]
if shape is not None:
idx.shape = shape
if shape is None and isinstance(idx, np.ndarray):
# In most cases a scalar will have been made an array
idx = idx.item(0)
# Use samples as indices for a if a is array-like
if a.ndim == 0:
return idx
if shape is not None and idx.ndim == 0:
# If size == () then the user requested a 0-d array as opposed to
# a scalar object when size is None. However a[idx] is always a
# scalar and not an array. So this makes sure the result is an
# array, taking into account that np.array(item) may not work
# for object arrays.
res = np.empty((), dtype=a.dtype)
res[()] = a[idx]
return res
return a[idx]
def random_choice_csc(n_samples, classes, class_probability=None,
random_state=None):
"""Generate a sparse random matrix given column class distributions
Parameters
----------
n_samples : int,
Number of samples to draw in each column.
classes : list of size n_outputs of arrays of size (n_classes,)
List of classes for each column.
class_probability : list of size n_outputs of arrays of size (n_classes,)
Optional (default=None). Class distribution of each column. If None the
uniform distribution is assumed.
random_state : int, RandomState instance or None, optional (default=None)
If int, random_state is the seed used by the random number generator;
If RandomState instance, random_state is the random number generator;
If None, the random number generator is the RandomState instance used
by `np.random`.
Returns
-------
random_matrix : sparse csc matrix of size (n_samples, n_outputs)
"""
data = array.array('i')
indices = array.array('i')
indptr = array.array('i', [0])
for j in range(len(classes)):
classes[j] = np.asarray(classes[j])
if classes[j].dtype.kind != 'i':
raise ValueError("class dtype %s is not supported" %
classes[j].dtype)
classes[j] = astype(classes[j], np.int64, copy=False)
# use uniform distribution if no class_probability is given
if class_probability is None:
class_prob_j = np.empty(shape=classes[j].shape[0])
class_prob_j.fill(1 / classes[j].shape[0])
else:
class_prob_j = np.asarray(class_probability[j])
if np.sum(class_prob_j) != 1.0:
raise ValueError("Probability array at index {0} does not sum to "
"one".format(j))
if class_prob_j.shape[0] != classes[j].shape[0]:
raise ValueError("classes[{0}] (length {1}) and "
"class_probability[{0}] (length {2}) have "
"different length.".format(j,
classes[j].shape[0],
class_prob_j.shape[0]))
# If 0 is not present in the classes insert it with a probability 0.0
if 0 not in classes[j]:
classes[j] = np.insert(classes[j], 0, 0)
class_prob_j = np.insert(class_prob_j, 0, 0.0)
# If there are nonzero classes choose randomly using class_probability
rng = check_random_state(random_state)
if classes[j].shape[0] > 1:
p_nonzero = 1 - class_prob_j[classes[j] == 0]
nnz = int(n_samples * p_nonzero)
ind_sample = sample_without_replacement(n_population=n_samples,
n_samples=nnz,
random_state=random_state)
indices.extend(ind_sample)
# Normalize probabilites for the nonzero elements
classes_j_nonzero = classes[j] != 0
class_probability_nz = class_prob_j[classes_j_nonzero]
class_probability_nz_norm = (class_probability_nz /
np.sum(class_probability_nz))
classes_ind = np.searchsorted(class_probability_nz_norm.cumsum(),
rng.rand(nnz))
data.extend(classes[j][classes_j_nonzero][classes_ind])
indptr.append(len(indices))
return sp.csc_matrix((data, indices, indptr),
(n_samples, len(classes)),
dtype=int)
| bsd-3-clause |
RobertABT/heightmap | build/matplotlib/examples/misc/ftface_props.py | 9 | 3481 | #!/usr/bin/env python
from __future__ import print_function
"""
This is a demo script to show you how to use all the properties of an
FT2Font object. These describe global font properties. For
individual character metrices, use the Glyp object, as returned by
load_char
"""
import matplotlib
from matplotlib.ft2font import FT2Font
#fname = '/usr/local/share/matplotlib/VeraIt.ttf'
fname = matplotlib.get_data_path() + '/fonts/ttf/VeraIt.ttf'
#fname = '/usr/local/share/matplotlib/cmr10.ttf'
font = FT2Font(fname)
# these constants are used to access the style_flags and face_flags
FT_FACE_FLAG_SCALABLE = 1 << 0
FT_FACE_FLAG_FIXED_SIZES = 1 << 1
FT_FACE_FLAG_FIXED_WIDTH = 1 << 2
FT_FACE_FLAG_SFNT = 1 << 3
FT_FACE_FLAG_HORIZONTAL = 1 << 4
FT_FACE_FLAG_VERTICAL = 1 << 5
FT_FACE_FLAG_KERNING = 1 << 6
FT_FACE_FLAG_FAST_GLYPHS = 1 << 7
FT_FACE_FLAG_MULTIPLE_MASTERS = 1 << 8
FT_FACE_FLAG_GLYPH_NAMES = 1 << 9
FT_FACE_FLAG_EXTERNAL_STREAM = 1 << 10
FT_STYLE_FLAG_ITALIC = 1 << 0
FT_STYLE_FLAG_BOLD = 1 << 1
print('Num faces :', font.num_faces) # number of faces in file
print('Num glyphs :', font.num_glyphs) # number of glyphs in the face
print('Family name :', font.family_name) # face family name
print('Syle name :', font.style_name) # face syle name
print('PS name :', font.postscript_name) # the postscript name
print('Num fixed :', font.num_fixed_sizes) # number of embedded bitmap in face
# the following are only available if face.scalable
if font.scalable:
# the face global bounding box (xmin, ymin, xmax, ymax)
print('Bbox :', font.bbox)
# number of font units covered by the EM
print('EM :', font.units_per_EM)
# the ascender in 26.6 units
print('Ascender :', font.ascender)
# the descender in 26.6 units
print('Descender :', font.descender)
# the height in 26.6 units
print('Height :', font.height)
# maximum horizontal cursor advance
print('Max adv width :', font.max_advance_width)
# same for vertical layout
print('Max adv height :', font.max_advance_height)
# vertical position of the underline bar
print('Underline pos :', font.underline_position)
# vertical thickness of the underline
print('Underline thickness :', font.underline_thickness)
print('Italics :', font.style_flags & FT_STYLE_FLAG_ITALIC != 0)
print('Bold :', font.style_flags & FT_STYLE_FLAG_BOLD != 0)
print('Scalable :', font.style_flags & FT_FACE_FLAG_SCALABLE != 0)
print('Fixed sizes :', font.style_flags & FT_FACE_FLAG_FIXED_SIZES != 0)
print('Fixed width :', font.style_flags & FT_FACE_FLAG_FIXED_WIDTH != 0)
print('SFNT :', font.style_flags & FT_FACE_FLAG_SFNT != 0)
print('Horizontal :', font.style_flags & FT_FACE_FLAG_HORIZONTAL != 0)
print('Vertical :', font.style_flags & FT_FACE_FLAG_VERTICAL != 0)
print('Kerning :', font.style_flags & FT_FACE_FLAG_KERNING != 0)
print('Fast glyphs :', font.style_flags & FT_FACE_FLAG_FAST_GLYPHS != 0)
print('Mult. masters :', font.style_flags & FT_FACE_FLAG_MULTIPLE_MASTERS != 0)
print('Glyph names :', font.style_flags & FT_FACE_FLAG_GLYPH_NAMES != 0)
print(dir(font))
cmap = font.get_charmap()
print(font.get_kerning)
| mit |
tactileentertainment/pandas-bigquery | pandas_bigquery/datasets.py | 1 | 4080 | from pandas_bigquery.exceptions import *
from pandas_bigquery.gbqconnector import GbqConnector
class Datasets(GbqConnector):
def __init__(self, project_id, reauth=False, verbose=False,
private_key=None):
try:
from googleapiclient.errors import HttpError
except:
from apiclient.errors import HttpError
self.http_error = HttpError
super(Datasets, self).__init__(project_id, reauth, verbose,
private_key)
def exists(self, dataset_id):
""" Check if a dataset exists in Google BigQuery
Parameters
----------
dataset_id : str
Name of dataset to be verified
Returns
-------
boolean
true if dataset exists, otherwise false
"""
try:
self.service.datasets().get(
projectId=self.project_id,
datasetId=dataset_id).execute()
return True
except self.http_error as ex:
if ex.resp.status == 404:
return False
else:
self.process_http_error(ex)
def list(self):
""" Return a list of datasets in Google BigQuery
Parameters
----------
Returns
-------
list
List of datasets under the specific project
"""
dataset_list = []
next_page_token = None
first_query = True
while first_query or next_page_token:
first_query = False
try:
list_dataset_response = self.service.datasets().list(
projectId=self.project_id,
pageToken=next_page_token).execute()
dataset_response = list_dataset_response.get('datasets')
if dataset_response is None:
dataset_response = []
next_page_token = list_dataset_response.get('nextPageToken')
if dataset_response is None:
dataset_response = []
for row_num, raw_row in enumerate(dataset_response):
dataset_list.append(
raw_row['datasetReference']['datasetId'])
except self.http_error as ex:
self.process_http_error(ex)
return dataset_list
def insert(self, dataset_id):
""" Create a dataset in Google BigQuery
Parameters
----------
dataset_id : str
Name of dataset to be written
"""
if self.exists(dataset_id):
raise DatasetCreationError("Dataset {0} already "
"exists".format(dataset_id))
body = {
'datasetReference': {
'projectId': self.project_id,
'datasetId': dataset_id
}
}
try:
self.service.datasets().insert(
projectId=self.project_id,
body=body).execute()
except self.http_error as ex:
self.process_http_error(ex)
def delete(self, dataset_id, delete_contents=False):
""" Delete a dataset in Google BigQuery
Parameters
----------
dataset_id : str
Name of dataset to be deleted
delete_contents : boolean
If True, delete all the tables in the dataset.
If False and the dataset contains tables,
the request will fail. Default is False
"""
if not self.exists(dataset_id):
raise NotFoundException(
"Dataset {0} does not exist".format(dataset_id))
try:
self.service.datasets().delete(
datasetId=dataset_id,
projectId=self.project_id,
deleteContents=delete_contents).execute()
except self.http_error as ex:
# Ignore 404 error which may occur if dataset already deleted
if ex.resp.status != 404:
self.process_http_error(ex)
| bsd-3-clause |
glouppe/scikit-learn | sklearn/externals/joblib/__init__.py | 23 | 4764 | """ Joblib is a set of tools to provide **lightweight pipelining in
Python**. In particular, joblib offers:
1. transparent disk-caching of the output values and lazy re-evaluation
(memoize pattern)
2. easy simple parallel computing
3. logging and tracing of the execution
Joblib is optimized to be **fast** and **robust** in particular on large
data and has specific optimizations for `numpy` arrays. It is
**BSD-licensed**.
============================== ============================================
**User documentation**: http://pythonhosted.org/joblib
**Download packages**: http://pypi.python.org/pypi/joblib#downloads
**Source code**: http://github.com/joblib/joblib
**Report issues**: http://github.com/joblib/joblib/issues
============================== ============================================
Vision
--------
The vision is to provide tools to easily achieve better performance and
reproducibility when working with long running jobs.
* **Avoid computing twice the same thing**: code is rerun over an
over, for instance when prototyping computational-heavy jobs (as in
scientific development), but hand-crafted solution to alleviate this
issue is error-prone and often leads to unreproducible results
* **Persist to disk transparently**: persisting in an efficient way
arbitrary objects containing large data is hard. Using
joblib's caching mechanism avoids hand-written persistence and
implicitly links the file on disk to the execution context of
the original Python object. As a result, joblib's persistence is
good for resuming an application status or computational job, eg
after a crash.
Joblib strives to address these problems while **leaving your code and
your flow control as unmodified as possible** (no framework, no new
paradigms).
Main features
------------------
1) **Transparent and fast disk-caching of output value:** a memoize or
make-like functionality for Python functions that works well for
arbitrary Python objects, including very large numpy arrays. Separate
persistence and flow-execution logic from domain logic or algorithmic
code by writing the operations as a set of steps with well-defined
inputs and outputs: Python functions. Joblib can save their
computation to disk and rerun it only if necessary::
>>> from sklearn.externals.joblib import Memory
>>> mem = Memory(cachedir='/tmp/joblib')
>>> import numpy as np
>>> a = np.vander(np.arange(3)).astype(np.float)
>>> square = mem.cache(np.square)
>>> b = square(a) # doctest: +ELLIPSIS
________________________________________________________________________________
[Memory] Calling square...
square(array([[ 0., 0., 1.],
[ 1., 1., 1.],
[ 4., 2., 1.]]))
___________________________________________________________square - 0...s, 0.0min
>>> c = square(a)
>>> # The above call did not trigger an evaluation
2) **Embarrassingly parallel helper:** to make is easy to write readable
parallel code and debug it quickly::
>>> from sklearn.externals.joblib import Parallel, delayed
>>> from math import sqrt
>>> Parallel(n_jobs=1)(delayed(sqrt)(i**2) for i in range(10))
[0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0]
3) **Logging/tracing:** The different functionalities will
progressively acquire better logging mechanism to help track what
has been ran, and capture I/O easily. In addition, Joblib will
provide a few I/O primitives, to easily define define logging and
display streams, and provide a way of compiling a report.
We want to be able to quickly inspect what has been run.
4) **Fast compressed Persistence**: a replacement for pickle to work
efficiently on Python objects containing large data (
*joblib.dump* & *joblib.load* ).
..
>>> import shutil ; shutil.rmtree('/tmp/joblib/')
"""
# PEP0440 compatible formatted version, see:
# https://www.python.org/dev/peps/pep-0440/
#
# Generic release markers:
# X.Y
# X.Y.Z # For bugfix releases
#
# Admissible pre-release markers:
# X.YaN # Alpha release
# X.YbN # Beta release
# X.YrcN # Release Candidate
# X.Y # Final release
#
# Dev branch marker is: 'X.Y.dev' or 'X.Y.devN' where N is an integer.
# 'X.Y.dev0' is the canonical version of 'X.Y.dev'
#
__version__ = '0.9.3'
from .memory import Memory, MemorizedResult
from .logger import PrintTime
from .logger import Logger
from .hashing import hash
from .numpy_pickle import dump
from .numpy_pickle import load
from .parallel import Parallel
from .parallel import delayed
from .parallel import cpu_count
| bsd-3-clause |
zklaus/tomohowk | src/plot_reconstructions.py | 2 | 7603 | #!/usr/bin/python
# -*- coding: utf-8 -*-
import argparse
import h5py
from math import log10, ceil
from matplotlib import cm, colors, pyplot
from matplotlib.animation import FuncAnimation
import numpy
from tools import parse_range
import warnings
#This filters a bug in matplotlib. Will be fixed in version 1.5.0.
warnings.filterwarnings('ignore', category=FutureWarning,
message="elementwise comparison failed")
def shifted_color_map(cmap, start=0, midpoint=0.5, stop=1.0, name='shiftedcmap'):
'''
Function to offset the "center" of a colormap. Useful for
data with a negative min and positive max and you want the
middle of the colormap's dynamic range to be at zero
Input
-----
cmap : The matplotlib colormap to be altered
start : Offset from lowest point in the colormap's range.
Defaults to 0.0 (no lower ofset). Should be between
0.0 and `midpoint`.
midpoint : The new center of the colormap. Defaults to
0.5 (no shift). Should be between 0.0 and 1.0. In
general, this should be 1 - vmax/(vmax + abs(vmin))
For example if your data range from -15.0 to +5.0 and
you want the center of the colormap at 0.0, `midpoint`
should be set to 1 - 5/(5 + 15)) or 0.75
stop : Offset from highets point in the colormap's range.
Defaults to 1.0 (no upper ofset). Should be between
`midpoint` and 1.0.
'''
cdict = {
'red': [],
'green': [],
'blue': [],
'alpha': []
}
# regular index to compute the colors
reg_index = numpy.linspace(start, stop, 257)
# shifted index to match the data
shift_index = numpy.hstack([
numpy.linspace(0.0, midpoint, 128, endpoint=False),
numpy.linspace(midpoint, 1.0, 129, endpoint=True)
])
for ri, si in zip(reg_index, shift_index):
r, g, b, a = cmap(ri)
cdict['red'].append((si, r, r))
cdict['green'].append((si, g, g))
cdict['blue'].append((si, b, b))
cdict['alpha'].append((si, a, a))
newcmap = colors.LinearSegmentedColormap(name, cdict)
pyplot.register_cmap(cmap=newcmap)
return newcmap
class QuadContainer(object):
def __init__(self, quad):
self.quad = quad
self.quad.set_rasterized(True)
def update_quad(self, quad):
self.quad.remove()
self.quad = quad
self.quad.set_rasterized(True)
def parse_args():
parser = argparse.ArgumentParser()
parser.add_argument("infilename", help="HDF5 file containing the reconstructions")
parser.add_argument("-o", "--output",
help="output basename for movie. The file will be <name>.mp4, "
"along with <name>_thumb.pdf thumbnail of first frame.")
parser.add_argument("-v", "--visualization",
help="visualization style. The raw option shows precisely the data,"
"polished gives a more pleasant rendering. (default: %(default)s)",
choices=["raw", "polished"],
default="raw")
parser.add_argument("-t", "--track",
help="Plot track of central position in phase space. (default: %(default)s)",
action="store_true", default=False)
parser.add_argument("-s", "--scans", help="Select scans to treat. "
"All data, including coordinates, will be averaged over all specified scans.",
type=parse_range, required=True)
parser.add_argument("--vmin", help="Sets minimal value for colorcode. "
"Can be either an absolute value, or a percentage. "
"If the latter, it specifies the percentile of occuring values to ignore. "
"(default: %(default)s)", default=".1%")
parser.add_argument("--vmax", help="Sets maximal value for colorcode. "
"Can be either an absolute value, or a percentage. "
"If the latter, it specifies the percentile of occuring values to ignore. "
"(default: %(default)s)", default=".1%")
args = parser.parse_args()
return args
def prepare_data(args):
with h5py.File(args.infilename, "r") as h5:
rg = h5["reconstructions"]
no_scans = rg["Q"].shape[0]
if args.scans=="all":
scans = range(no_scans)
else:
scans = args.scans
if len(scans)==1:
q_mean = rg["q_mean"][scans[0]]
p_mean = rg["p_mean"][scans[0]]
Q_ds = rg["Q"][scans[0]]
P_ds = rg["P"][scans[0]]
W_ds = rg["W"][scans[0]]
else:
q_mean = numpy.average(rg["q_mean"][scans], axis=0)
p_mean = numpy.average(rg["p_mean"][scans], axis=0)
Q_ds = numpy.average(rg["Q"][scans], axis=0)
P_ds = numpy.average(rg["P"][scans], axis=0)
W_ds = numpy.average(rg["W"][scans], axis=0)
return q_mean, p_mean, Q_ds, P_ds, W_ds
def main():
args = parse_args()
q_mean, p_mean, Q, P, W = prepare_data(args)
no_steps = Q.shape[0]
q_min = Q[:,0,0].min()
q_max = Q[:,0,-1].max()
p_min = P[:,0,0].min()
p_max = P[:,-1,0].max()
if args.vmin[-1]=="%":
W_min = numpy.percentile(W[:], float(args.vmin[:-1]))
else:
W_min = float(args.vmin)
if args.vmax[-1]=="%":
W_max = numpy.percentile(W[:], 100.-float(args.vmax[:-1]))
else:
W_max = float(args.vmax)
midpoint = 1 - W_max/(W_max + abs(W_min))
cmap = shifted_color_map(cm.coolwarm, midpoint=midpoint, name="shifted")
fig = pyplot.figure()
ax = fig.add_subplot(1,1,1)
ax.set_xlim(q_min, q_max)
ax.set_ylim(p_min, p_max)
ax.set_xlabel("q")
ax.set_ylabel("p")
if args.visualization=="polished":
shading="gouraud"
else:
shading="flat"
quad = QuadContainer(ax.pcolormesh(Q[0], P[0], W[0],
vmin=W_min, vmax=W_max,
cmap=cmap,
shading=shading))
ax.set_aspect("equal")
if args.track:
ax.set_color_cycle([cm.copper(1.*i/(no_steps-1)) for i in range(no_steps-1)])
for i in range(no_steps-1):
ax.plot(q_mean[i:i+2],p_mean[i:i+2], alpha=.3)
cb = fig.colorbar(quad.quad)
cb.set_label("Quasiprobability Density")
cb.solids.set_rasterized(True)
if args.visualization=="polished":
ax.set_axis_bgcolor(cb.to_rgba(0.))
no_digits = int(ceil(log10(no_steps))+1)
title_string = "Wigner Function at step {:{width}}/{:{width}}"
title = ax.set_title(title_string.format(0, no_steps, width=no_digits))
ax.grid(True)
if args.output:
fig.savefig(args.output+"_thumb.pdf")
def animate(i):
title.set_text(title_string.format(i, no_steps, width=no_digits))
quad.update_quad(ax.pcolormesh(Q[i], P[i], W[i],
vmin=W_min, vmax=W_max,
cmap=cmap,
shading=shading))
ax.grid(True)
return quad.quad,
ani = FuncAnimation(fig, animate, no_steps, interval=100, repeat_delay=1000)
if args.output:
print("Saving movie to {}. This may take a couple of minutes.".format(args.output))
ani.save(args.output+".mp4", fps=10, extra_args=['-vcodec', 'libx264'])
pyplot.show()
if __name__ == "__main__":
main()
| mit |
nelson-liu/scikit-learn | sklearn/utils/fixes.py | 14 | 13240 | """Compatibility fixes for older version of python, numpy and scipy
If you add content to this file, please give the version of the package
at which the fixe is no longer needed.
"""
# Authors: Emmanuelle Gouillart <[email protected]>
# Gael Varoquaux <[email protected]>
# Fabian Pedregosa <[email protected]>
# Lars Buitinck
#
# License: BSD 3 clause
import warnings
import sys
import functools
import os
import errno
import numpy as np
import scipy.sparse as sp
import scipy
try:
from inspect import signature
except ImportError:
from ..externals.funcsigs import signature
def _parse_version(version_string):
version = []
for x in version_string.split('.'):
try:
version.append(int(x))
except ValueError:
# x may be of the form dev-1ea1592
version.append(x)
return tuple(version)
np_version = _parse_version(np.__version__)
sp_version = _parse_version(scipy.__version__)
try:
from scipy.special import expit # SciPy >= 0.10
with np.errstate(invalid='ignore', over='ignore'):
if np.isnan(expit(1000)): # SciPy < 0.14
raise ImportError("no stable expit in scipy.special")
except ImportError:
def expit(x, out=None):
"""Logistic sigmoid function, ``1 / (1 + exp(-x))``.
See sklearn.utils.extmath.log_logistic for the log of this function.
"""
if out is None:
out = np.empty(np.atleast_1d(x).shape, dtype=np.float64)
out[:] = x
# 1 / (1 + exp(-x)) = (1 + tanh(x / 2)) / 2
# This way of computing the logistic is both fast and stable.
out *= .5
np.tanh(out, out)
out += 1
out *= .5
return out.reshape(np.shape(x))
# little danse to see if np.copy has an 'order' keyword argument
# Supported since numpy 1.7.0
if 'order' in signature(np.copy).parameters:
def safe_copy(X):
# Copy, but keep the order
return np.copy(X, order='K')
else:
# Before an 'order' argument was introduced, numpy wouldn't muck with
# the ordering
safe_copy = np.copy
try:
if (not np.allclose(np.divide(.4, 1, casting="unsafe"),
np.divide(.4, 1, casting="unsafe", dtype=np.float64))
or not np.allclose(np.divide(.4, 1), .4)):
raise TypeError('Divide not working with dtype: '
'https://github.com/numpy/numpy/issues/3484')
divide = np.divide
except TypeError:
# Compat for old versions of np.divide that do not provide support for
# the dtype args
def divide(x1, x2, out=None, dtype=None):
out_orig = out
if out is None:
out = np.asarray(x1, dtype=dtype)
if out is x1:
out = x1.copy()
else:
if out is not x1:
out[:] = x1
if dtype is not None and out.dtype != dtype:
out = out.astype(dtype)
out /= x2
if out_orig is None and np.isscalar(x1):
out = np.asscalar(out)
return out
try:
np.array(5).astype(float, copy=False)
except TypeError:
# Compat where astype accepted no copy argument (numpy < 1.7.0)
def astype(array, dtype, copy=True):
if not copy and array.dtype == dtype:
return array
return array.astype(dtype)
else:
astype = np.ndarray.astype
try:
with warnings.catch_warnings(record=True):
# Don't raise the numpy deprecation warnings that appear in
# 1.9, but avoid Python bug due to simplefilter('ignore')
warnings.simplefilter('always')
sp.csr_matrix([1.0, 2.0, 3.0]).max(axis=0)
except (TypeError, AttributeError):
# in scipy < 14.0, sparse matrix min/max doesn't accept an `axis` argument
# the following code is taken from the scipy 0.14 codebase
def _minor_reduce(X, ufunc):
major_index = np.flatnonzero(np.diff(X.indptr))
if X.data.size == 0 and major_index.size == 0:
# Numpy < 1.8.0 don't handle empty arrays in reduceat
value = np.zeros_like(X.data)
else:
value = ufunc.reduceat(X.data, X.indptr[major_index])
return major_index, value
def _min_or_max_axis(X, axis, min_or_max):
N = X.shape[axis]
if N == 0:
raise ValueError("zero-size array to reduction operation")
M = X.shape[1 - axis]
mat = X.tocsc() if axis == 0 else X.tocsr()
mat.sum_duplicates()
major_index, value = _minor_reduce(mat, min_or_max)
not_full = np.diff(mat.indptr)[major_index] < N
value[not_full] = min_or_max(value[not_full], 0)
mask = value != 0
major_index = np.compress(mask, major_index)
value = np.compress(mask, value)
from scipy.sparse import coo_matrix
if axis == 0:
res = coo_matrix((value, (np.zeros(len(value)), major_index)),
dtype=X.dtype, shape=(1, M))
else:
res = coo_matrix((value, (major_index, np.zeros(len(value)))),
dtype=X.dtype, shape=(M, 1))
return res.A.ravel()
def _sparse_min_or_max(X, axis, min_or_max):
if axis is None:
if 0 in X.shape:
raise ValueError("zero-size array to reduction operation")
zero = X.dtype.type(0)
if X.nnz == 0:
return zero
m = min_or_max.reduce(X.data.ravel())
if X.nnz != np.product(X.shape):
m = min_or_max(zero, m)
return m
if axis < 0:
axis += 2
if (axis == 0) or (axis == 1):
return _min_or_max_axis(X, axis, min_or_max)
else:
raise ValueError("invalid axis, use 0 for rows, or 1 for columns")
def sparse_min_max(X, axis):
return (_sparse_min_or_max(X, axis, np.minimum),
_sparse_min_or_max(X, axis, np.maximum))
else:
def sparse_min_max(X, axis):
return (X.min(axis=axis).toarray().ravel(),
X.max(axis=axis).toarray().ravel())
try:
from numpy import argpartition
except ImportError:
# numpy.argpartition was introduced in v 1.8.0
def argpartition(a, kth, axis=-1, kind='introselect', order=None):
return np.argsort(a, axis=axis, order=order)
try:
from numpy import partition
except ImportError:
warnings.warn('Using `sort` instead of partition.'
'Upgrade numpy to 1.8 for better performace on large number'
'of clusters')
def partition(a, kth, axis=-1, kind='introselect', order=None):
return np.sort(a, axis=axis, order=order)
if np_version < (1, 7):
# Prior to 1.7.0, np.frombuffer wouldn't work for empty first arg.
def frombuffer_empty(buf, dtype):
if len(buf) == 0:
return np.empty(0, dtype=dtype)
else:
return np.frombuffer(buf, dtype=dtype)
else:
frombuffer_empty = np.frombuffer
if np_version < (1, 8):
def in1d(ar1, ar2, assume_unique=False, invert=False):
# Backport of numpy function in1d 1.8.1 to support numpy 1.6.2
# Ravel both arrays, behavior for the first array could be different
ar1 = np.asarray(ar1).ravel()
ar2 = np.asarray(ar2).ravel()
# This code is significantly faster when the condition is satisfied.
if len(ar2) < 10 * len(ar1) ** 0.145:
if invert:
mask = np.ones(len(ar1), dtype=np.bool)
for a in ar2:
mask &= (ar1 != a)
else:
mask = np.zeros(len(ar1), dtype=np.bool)
for a in ar2:
mask |= (ar1 == a)
return mask
# Otherwise use sorting
if not assume_unique:
ar1, rev_idx = np.unique(ar1, return_inverse=True)
ar2 = np.unique(ar2)
ar = np.concatenate((ar1, ar2))
# We need this to be a stable sort, so always use 'mergesort'
# here. The values from the first array should always come before
# the values from the second array.
order = ar.argsort(kind='mergesort')
sar = ar[order]
if invert:
bool_ar = (sar[1:] != sar[:-1])
else:
bool_ar = (sar[1:] == sar[:-1])
flag = np.concatenate((bool_ar, [invert]))
indx = order.argsort(kind='mergesort')[:len(ar1)]
if assume_unique:
return flag[indx]
else:
return flag[indx][rev_idx]
else:
from numpy import in1d
if sp_version < (0, 15):
# Backport fix for scikit-learn/scikit-learn#2986 / scipy/scipy#4142
from ._scipy_sparse_lsqr_backport import lsqr as sparse_lsqr
else:
from scipy.sparse.linalg import lsqr as sparse_lsqr
def parallel_helper(obj, methodname, *args, **kwargs):
"""Helper to workaround Python 2 limitations of pickling instance methods"""
return getattr(obj, methodname)(*args, **kwargs)
if np_version < (1, 6, 2):
# Allow bincount to accept empty arrays
# https://github.com/numpy/numpy/commit/40f0844846a9d7665616b142407a3d74cb65a040
def bincount(x, weights=None, minlength=None):
if len(x) > 0:
return np.bincount(x, weights, minlength)
else:
if minlength is None:
minlength = 0
minlength = np.asscalar(np.asarray(minlength, dtype=np.intp))
return np.zeros(minlength, dtype=np.intp)
else:
from numpy import bincount
if 'exist_ok' in signature(os.makedirs).parameters:
makedirs = os.makedirs
else:
def makedirs(name, mode=0o777, exist_ok=False):
"""makedirs(name [, mode=0o777][, exist_ok=False])
Super-mkdir; create a leaf directory and all intermediate ones. Works
like mkdir, except that any intermediate path segment (not just the
rightmost) will be created if it does not exist. If the target
directory already exists, raise an OSError if exist_ok is False.
Otherwise no exception is raised. This is recursive.
"""
try:
os.makedirs(name, mode=mode)
except OSError as e:
if (not exist_ok or e.errno != errno.EEXIST
or not os.path.isdir(name)):
raise
if np_version < (1, 8, 1):
def array_equal(a1, a2):
# copy-paste from numpy 1.8.1
try:
a1, a2 = np.asarray(a1), np.asarray(a2)
except:
return False
if a1.shape != a2.shape:
return False
return bool(np.asarray(a1 == a2).all())
else:
from numpy import array_equal
if sp_version < (0, 13, 0):
def rankdata(a, method='average'):
if method not in ('average', 'min', 'max', 'dense', 'ordinal'):
raise ValueError('unknown method "{0}"'.format(method))
arr = np.ravel(np.asarray(a))
algo = 'mergesort' if method == 'ordinal' else 'quicksort'
sorter = np.argsort(arr, kind=algo)
inv = np.empty(sorter.size, dtype=np.intp)
inv[sorter] = np.arange(sorter.size, dtype=np.intp)
if method == 'ordinal':
return inv + 1
arr = arr[sorter]
obs = np.r_[True, arr[1:] != arr[:-1]]
dense = obs.cumsum()[inv]
if method == 'dense':
return dense
# cumulative counts of each unique value
count = np.r_[np.nonzero(obs)[0], len(obs)]
if method == 'max':
return count[dense]
if method == 'min':
return count[dense - 1] + 1
# average method
return .5 * (count[dense] + count[dense - 1] + 1)
else:
from scipy.stats import rankdata
if np_version < (1, 12):
class MaskedArray(np.ma.MaskedArray):
# Before numpy 1.12, np.ma.MaskedArray object is not picklable
# This fix is needed to make our model_selection.GridSearchCV
# picklable as the ``cv_results_`` param uses MaskedArray
def __getstate__(self):
"""Return the internal state of the masked array, for pickling
purposes.
"""
cf = 'CF'[self.flags.fnc]
data_state = super(np.ma.MaskedArray, self).__reduce__()[2]
return data_state + (np.ma.getmaskarray(self).tostring(cf),
self._fill_value)
else:
from numpy.ma import MaskedArray # noqa
if 'axis' not in signature(np.linalg.norm).parameters:
def norm(X, ord=None, axis=None):
"""
Handles the axis parameter for the norm function
in old versions of numpy (useless for numpy >= 1.8).
"""
if axis is None or X.ndim == 1:
result = np.linalg.norm(X, ord=ord)
return result
if axis not in (0, 1):
raise NotImplementedError("""
The fix that adds axis parameter to the old numpy
norm only works for 1D or 2D arrays.
""")
if axis == 0:
X = X.T
result = np.zeros(X.shape[0])
for i in range(len(result)):
result[i] = np.linalg.norm(X[i], ord=ord)
return result
else:
norm = np.linalg.norm
| bsd-3-clause |
0x0all/scikit-learn | sklearn/manifold/tests/test_spectral_embedding.py | 26 | 7703 | from nose.tools import assert_true
from nose.tools import assert_equal
from scipy.sparse import csr_matrix
from scipy.sparse import csc_matrix
import numpy as np
from numpy.testing import assert_array_almost_equal
from nose.tools import assert_raises
from nose.plugins.skip import SkipTest
from sklearn.manifold.spectral_embedding_ import SpectralEmbedding
from sklearn.manifold.spectral_embedding_ import _graph_is_connected
from sklearn.metrics.pairwise import rbf_kernel
from sklearn.metrics import normalized_mutual_info_score
from sklearn.cluster import KMeans
from sklearn.datasets.samples_generator import make_blobs
# non centered, sparse centers to check the
centers = np.array([
[0.0, 5.0, 0.0, 0.0, 0.0],
[0.0, 0.0, 4.0, 0.0, 0.0],
[1.0, 0.0, 0.0, 5.0, 1.0],
])
n_samples = 1000
n_clusters, n_features = centers.shape
S, true_labels = make_blobs(n_samples=n_samples, centers=centers,
cluster_std=1., random_state=42)
def _check_with_col_sign_flipping(A, B, tol=0.0):
""" Check array A and B are equal with possible sign flipping on
each columns"""
sign = True
for column_idx in range(A.shape[1]):
sign = sign and ((((A[:, column_idx] -
B[:, column_idx]) ** 2).mean() <= tol ** 2) or
(((A[:, column_idx] +
B[:, column_idx]) ** 2).mean() <= tol ** 2))
if not sign:
return False
return True
def test_spectral_embedding_two_components(seed=36):
"""Test spectral embedding with two components"""
random_state = np.random.RandomState(seed)
n_sample = 100
affinity = np.zeros(shape=[n_sample * 2,
n_sample * 2])
# first component
affinity[0:n_sample,
0:n_sample] = np.abs(random_state.randn(n_sample, n_sample)) + 2
# second component
affinity[n_sample::,
n_sample::] = np.abs(random_state.randn(n_sample, n_sample)) + 2
# connection
affinity[0, n_sample + 1] = 1
affinity[n_sample + 1, 0] = 1
affinity.flat[::2 * n_sample + 1] = 0
affinity = 0.5 * (affinity + affinity.T)
true_label = np.zeros(shape=2 * n_sample)
true_label[0:n_sample] = 1
se_precomp = SpectralEmbedding(n_components=1, affinity="precomputed",
random_state=np.random.RandomState(seed))
embedded_coordinate = se_precomp.fit_transform(affinity)
# Some numpy versions are touchy with types
embedded_coordinate = \
se_precomp.fit_transform(affinity.astype(np.float32))
# thresholding on the first components using 0.
label_ = np.array(embedded_coordinate.ravel() < 0, dtype="float")
assert_equal(normalized_mutual_info_score(true_label, label_), 1.0)
def test_spectral_embedding_precomputed_affinity(seed=36):
"""Test spectral embedding with precomputed kernel"""
gamma = 1.0
se_precomp = SpectralEmbedding(n_components=2, affinity="precomputed",
random_state=np.random.RandomState(seed))
se_rbf = SpectralEmbedding(n_components=2, affinity="rbf",
gamma=gamma,
random_state=np.random.RandomState(seed))
embed_precomp = se_precomp.fit_transform(rbf_kernel(S, gamma=gamma))
embed_rbf = se_rbf.fit_transform(S)
assert_array_almost_equal(
se_precomp.affinity_matrix_, se_rbf.affinity_matrix_)
assert_true(_check_with_col_sign_flipping(embed_precomp, embed_rbf, 0.05))
def test_spectral_embedding_callable_affinity(seed=36):
"""Test spectral embedding with callable affinity"""
gamma = 0.9
kern = rbf_kernel(S, gamma=gamma)
se_callable = SpectralEmbedding(n_components=2,
affinity=(
lambda x: rbf_kernel(x, gamma=gamma)),
gamma=gamma,
random_state=np.random.RandomState(seed))
se_rbf = SpectralEmbedding(n_components=2, affinity="rbf",
gamma=gamma,
random_state=np.random.RandomState(seed))
embed_rbf = se_rbf.fit_transform(S)
embed_callable = se_callable.fit_transform(S)
assert_array_almost_equal(
se_callable.affinity_matrix_, se_rbf.affinity_matrix_)
assert_array_almost_equal(kern, se_rbf.affinity_matrix_)
assert_true(
_check_with_col_sign_flipping(embed_rbf, embed_callable, 0.05))
def test_spectral_embedding_amg_solver(seed=36):
"""Test spectral embedding with amg solver"""
try:
from pyamg import smoothed_aggregation_solver
except ImportError:
raise SkipTest("pyagm not available.")
se_amg = SpectralEmbedding(n_components=2, affinity="nearest_neighbors",
eigen_solver="amg", n_neighbors=5,
random_state=np.random.RandomState(seed))
se_arpack = SpectralEmbedding(n_components=2, affinity="nearest_neighbors",
eigen_solver="arpack", n_neighbors=5,
random_state=np.random.RandomState(seed))
embed_amg = se_amg.fit_transform(S)
embed_arpack = se_arpack.fit_transform(S)
assert_true(_check_with_col_sign_flipping(embed_amg, embed_arpack, 0.05))
def test_pipeline_spectral_clustering(seed=36):
"""Test using pipeline to do spectral clustering"""
random_state = np.random.RandomState(seed)
se_rbf = SpectralEmbedding(n_components=n_clusters,
affinity="rbf",
random_state=random_state)
se_knn = SpectralEmbedding(n_components=n_clusters,
affinity="nearest_neighbors",
n_neighbors=5,
random_state=random_state)
for se in [se_rbf, se_knn]:
km = KMeans(n_clusters=n_clusters, random_state=random_state)
km.fit(se.fit_transform(S))
assert_array_almost_equal(
normalized_mutual_info_score(
km.labels_,
true_labels), 1.0, 2)
def test_spectral_embedding_unknown_eigensolver(seed=36):
"""Test that SpectralClustering fails with an unknown eigensolver"""
se = SpectralEmbedding(n_components=1, affinity="precomputed",
random_state=np.random.RandomState(seed),
eigen_solver="<unknown>")
assert_raises(ValueError, se.fit, S)
def test_spectral_embedding_unknown_affinity(seed=36):
"""Test that SpectralClustering fails with an unknown affinity type"""
se = SpectralEmbedding(n_components=1, affinity="<unknown>",
random_state=np.random.RandomState(seed))
assert_raises(ValueError, se.fit, S)
def test_connectivity(seed=36):
"""Test that graph connectivity test works as expected"""
graph = np.array([[1, 0, 0, 0, 0],
[0, 1, 1, 0, 0],
[0, 1, 1, 1, 0],
[0, 0, 1, 1, 1],
[0, 0, 0, 1, 1]])
assert_equal(_graph_is_connected(graph), False)
assert_equal(_graph_is_connected(csr_matrix(graph)), False)
assert_equal(_graph_is_connected(csc_matrix(graph)), False)
graph = np.array([[1, 1, 0, 0, 0],
[1, 1, 1, 0, 0],
[0, 1, 1, 1, 0],
[0, 0, 1, 1, 1],
[0, 0, 0, 1, 1]])
assert_equal(_graph_is_connected(graph), True)
assert_equal(_graph_is_connected(csr_matrix(graph)), True)
assert_equal(_graph_is_connected(csc_matrix(graph)), True)
| bsd-3-clause |
ephes/scikit-learn | examples/datasets/plot_iris_dataset.py | 283 | 1928 | #!/usr/bin/python
# -*- coding: utf-8 -*-
"""
=========================================================
The Iris Dataset
=========================================================
This data sets consists of 3 different types of irises'
(Setosa, Versicolour, and Virginica) petal and sepal
length, stored in a 150x4 numpy.ndarray
The rows being the samples and the columns being:
Sepal Length, Sepal Width, Petal Length and Petal Width.
The below plot uses the first two features.
See `here <http://en.wikipedia.org/wiki/Iris_flower_data_set>`_ for more
information on this dataset.
"""
print(__doc__)
# Code source: Gaël Varoquaux
# Modified for documentation by Jaques Grobler
# License: BSD 3 clause
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
from sklearn import datasets
from sklearn.decomposition import PCA
# import some data to play with
iris = datasets.load_iris()
X = iris.data[:, :2] # we only take the first two features.
Y = iris.target
x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5
y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5
plt.figure(2, figsize=(8, 6))
plt.clf()
# Plot the training points
plt.scatter(X[:, 0], X[:, 1], c=Y, cmap=plt.cm.Paired)
plt.xlabel('Sepal length')
plt.ylabel('Sepal width')
plt.xlim(x_min, x_max)
plt.ylim(y_min, y_max)
plt.xticks(())
plt.yticks(())
# To getter a better understanding of interaction of the dimensions
# plot the first three PCA dimensions
fig = plt.figure(1, figsize=(8, 6))
ax = Axes3D(fig, elev=-150, azim=110)
X_reduced = PCA(n_components=3).fit_transform(iris.data)
ax.scatter(X_reduced[:, 0], X_reduced[:, 1], X_reduced[:, 2], c=Y,
cmap=plt.cm.Paired)
ax.set_title("First three PCA directions")
ax.set_xlabel("1st eigenvector")
ax.w_xaxis.set_ticklabels([])
ax.set_ylabel("2nd eigenvector")
ax.w_yaxis.set_ticklabels([])
ax.set_zlabel("3rd eigenvector")
ax.w_zaxis.set_ticklabels([])
plt.show()
| bsd-3-clause |
boada/desCluster | analysis/legacy/conditional_prob.py | 2 | 3969 | import pylab as pyl
from matplotlib.ticker import NullFormatter
import h5py as hdf
from sklearn.cross_validation import train_test_split
# load the data
f = hdf.File('./result_FullKnowledge.hdf5', 'r')
dset = f[f.keys()[0]]
truth = dset.value
f.close()
f = hdf.File('./result_targetedIdeal.hdf5', 'r')
dset = f[f.keys()[0]]
target = dset.value
f.close()
f = hdf.File('./surveyComplete.hdf5', 'r')
dset = f[f.keys()[0]]
survey = dset.value
# only use the results we actually have results for
mask = target['NGAL'] >=5
maskedTruth = truth[mask]
maskedTarget = target[mask]
maskedSurvey = survey[mask]
Ngrid = 41
gridy = pyl.linspace(2.3, 3.1, Ngrid + 1)
gridx = pyl.linspace(13, 15.5, Ngrid + 1)
x = pyl.log10(maskedTarget['M200c'])
y = pyl.log10(maskedTarget['LOSVD'])
mask = (2.3 < y) & (y <3.1)
y = y[mask]
x = x[mask]
X_train, X_test, y_train, y_test = train_test_split(x, y, test_size=0.2)
x, y = X_train, y_train
H, xbins, ybins = pyl.histogram2d(X_train, y_train, bins=[gridx, gridy])
H = H.T
H /= pyl.sum(H)
#------------------------------------------------------------
# plot the result
fig = pyl.figure()
# define axes
ax_Pxy = pyl.axes((0.2, 0.34, 0.27, 0.52))
ax_Px = pyl.axes((0.2, 0.14, 0.27, 0.2))
ax_Py = pyl.axes((0.1, 0.34, 0.1, 0.52))
ax_cb = pyl.axes((0.48, 0.34, 0.01, 0.52))
ax_Px_y = [pyl.axes((0.65, 0.62, 0.32, 0.23)),
pyl.axes((0.65, 0.38, 0.32, 0.23)),
pyl.axes((0.65, 0.14, 0.32, 0.23))]
# set axis label formatters
ax_Px_y[0].xaxis.set_major_formatter(NullFormatter())
ax_Px_y[1].xaxis.set_major_formatter(NullFormatter())
ax_Pxy.xaxis.set_major_formatter(NullFormatter())
ax_Pxy.yaxis.set_major_formatter(NullFormatter())
ax_Px.yaxis.set_major_formatter(NullFormatter())
ax_Py.xaxis.set_major_formatter(NullFormatter())
# draw the joint probability
pyl.axes(ax_Pxy)
H *= 1000
pyl.imshow(H, interpolation='nearest', origin='lower', aspect='auto',
extent=[xbins.min(), xbins.max(), ybins.min(), ybins.max()],
cmap=pyl.cm.binary)
cb = pyl.colorbar(cax=ax_cb)
cb.set_label('$p(M_{True}, \sigma)$')
pyl.text(0, 1.02, r'$\times 10^{-3}$',
transform=ax_cb.transAxes)
# draw p(x) distribution
ax_Px.plot(xbins[1:], H.sum(0), '-k', drawstyle='steps')
# draw p(y) distribution
ax_Py.plot(H.sum(1), ybins[1:], '-k', drawstyle='steps')
# tweak axis labels
ax_Px.set_xticks([12,13,14,15,16])
#ax_Py.set_yticks([2.5,13,14,15,16])
# define axis limits
ax_Pxy.set_xlim(13, 15.5)
ax_Pxy.set_ylim(2.3, 3.1 )
ax_Px.set_xlim(13, 15.5)
ax_Py.set_ylim(2.3, 3.1)
# label axes
ax_Pxy.set_xlabel('$M_{True}$')
ax_Pxy.set_ylabel('$\sigma$')
ax_Px.set_xlabel('$M_{True}$')
ax_Px.set_ylabel('$p(M_{True})$')
ax_Px.yaxis.set_label_position('right')
ax_Py.set_ylabel('$\sigma$')
ax_Py.set_xlabel('$p(\sigma)$')
ax_Py.xaxis.set_label_position('top')
# draw marginal probabilities
iy = pyl.digitize(X_test[:3], xbins)
colors = 'rgc'
axis = ax_Pxy.axis()
for i in range(len(iy)):
# overplot range on joint probability
ax_Pxy.axhspan(ybins[iy[i]], ybins[iy[i]+1], alpha=0.25, fc=colors[i])
Px_y = H[iy[i]] / H[iy[i]].sum()
ax_Px_y[i].plot(xbins[1:], Px_y, drawstyle='steps', c=colors[i])
ind = pyl.argsort(Px_y)
ax_Px_y[i].axvline(xbins[ind[-1]], label='predicted')
ax_Px_y[i].axvline(X_test[i], c='r', label='true')
ax_Px_y[i].yaxis.set_major_formatter(NullFormatter())
ax_Px_y[i].set_ylabel('$p(M_{True} | %.2f)$' % ybins[iy[i]])
ax_Pxy.axis(axis)
pred = []
iy = pyl.digitize(y_test, ybins)
for i in iy:
if i > H.shape[0]:
pass
else:
Px_y = H[i] / H[i].sum()
centers = (xbins[:-1] + xbins[1:])/2.
norm = pyl.sum(Px_y * pyl.diff(xbins))
mean = pyl.sum(centers * Px_y * pyl.diff(xbins))/norm
pred.append(mean)
ax_Px_y[2].set_xlabel('$M_{True}$')
#ax_Px_y[2].set_xticks([12,13,14,15,16])
ax_Px_y[2].legend()
ax_Pxy.set_title('Joint Probability')
ax_Px_y[0].set_title('Conditional Probability')
pyl.show()
| mit |
nvoron23/statsmodels | docs/sphinxext/numpy_ext/docscrape_sphinx.py | 62 | 7703 | import re, inspect, textwrap, pydoc
import sphinx
from docscrape import NumpyDocString, FunctionDoc, ClassDoc
class SphinxDocString(NumpyDocString):
def __init__(self, docstring, config={}):
self.use_plots = config.get('use_plots', False)
NumpyDocString.__init__(self, docstring, config=config)
# string conversion routines
def _str_header(self, name, symbol='`'):
return ['.. rubric:: ' + name, '']
def _str_field_list(self, name):
return [':' + name + ':']
def _str_indent(self, doc, indent=4):
out = []
for line in doc:
out += [' '*indent + line]
return out
def _str_signature(self):
return ['']
if self['Signature']:
return ['``%s``' % self['Signature']] + ['']
else:
return ['']
def _str_summary(self):
return self['Summary'] + ['']
def _str_extended_summary(self):
return self['Extended Summary'] + ['']
def _str_param_list(self, name):
out = []
if self[name]:
out += self._str_field_list(name)
out += ['']
for param,param_type,desc in self[name]:
out += self._str_indent(['**%s** : %s' % (param.strip(),
param_type)])
out += ['']
out += self._str_indent(desc,8)
out += ['']
return out
@property
def _obj(self):
if hasattr(self, '_cls'):
return self._cls
elif hasattr(self, '_f'):
return self._f
return None
def _str_member_list(self, name):
"""
Generate a member listing, autosummary:: table where possible,
and a table where not.
"""
out = []
if self[name]:
out += ['.. rubric:: %s' % name, '']
prefix = getattr(self, '_name', '')
if prefix:
prefix = '~%s.' % prefix
autosum = []
others = []
for param, param_type, desc in self[name]:
param = param.strip()
if not self._obj or hasattr(self._obj, param):
autosum += [" %s%s" % (prefix, param)]
else:
others.append((param, param_type, desc))
if autosum:
out += ['.. autosummary::', ' :toctree:', '']
out += autosum
if others:
maxlen_0 = max([len(x[0]) for x in others])
maxlen_1 = max([len(x[1]) for x in others])
hdr = "="*maxlen_0 + " " + "="*maxlen_1 + " " + "="*10
fmt = '%%%ds %%%ds ' % (maxlen_0, maxlen_1)
n_indent = maxlen_0 + maxlen_1 + 4
out += [hdr]
for param, param_type, desc in others:
out += [fmt % (param.strip(), param_type)]
out += self._str_indent(desc, n_indent)
out += [hdr]
out += ['']
return out
def _str_section(self, name):
out = []
if self[name]:
out += self._str_header(name)
out += ['']
content = textwrap.dedent("\n".join(self[name])).split("\n")
out += content
out += ['']
return out
def _str_see_also(self, func_role):
out = []
if self['See Also']:
see_also = super(SphinxDocString, self)._str_see_also(func_role)
out = ['.. seealso::', '']
out += self._str_indent(see_also[2:])
return out
def _str_warnings(self):
out = []
if self['Warnings']:
out = ['.. warning::', '']
out += self._str_indent(self['Warnings'])
return out
def _str_index(self):
idx = self['index']
out = []
if len(idx) == 0:
return out
out += ['.. index:: %s' % idx.get('default','')]
for section, references in idx.iteritems():
if section == 'default':
continue
elif section == 'refguide':
out += [' single: %s' % (', '.join(references))]
else:
out += [' %s: %s' % (section, ','.join(references))]
return out
def _str_references(self):
out = []
if self['References']:
out += self._str_header('References')
if isinstance(self['References'], str):
self['References'] = [self['References']]
out.extend(self['References'])
out += ['']
# Latex collects all references to a separate bibliography,
# so we need to insert links to it
if sphinx.__version__ >= "0.6":
out += ['.. only:: latex','']
else:
out += ['.. latexonly::','']
items = []
for line in self['References']:
m = re.match(r'.. \[([a-z0-9._-]+)\]', line, re.I)
if m:
items.append(m.group(1))
out += [' ' + ", ".join(["[%s]_" % item for item in items]), '']
return out
def _str_examples(self):
examples_str = "\n".join(self['Examples'])
if (self.use_plots and 'import matplotlib' in examples_str
and 'plot::' not in examples_str):
out = []
out += self._str_header('Examples')
out += ['.. plot::', '']
out += self._str_indent(self['Examples'])
out += ['']
return out
else:
return self._str_section('Examples')
def __str__(self, indent=0, func_role="obj"):
out = []
out += self._str_signature()
out += self._str_index() + ['']
out += self._str_summary()
out += self._str_extended_summary()
for param_list in ('Parameters', 'Returns', 'Raises'):
out += self._str_param_list(param_list)
out += self._str_warnings()
out += self._str_see_also(func_role)
out += self._str_section('Notes')
out += self._str_references()
out += self._str_examples()
for param_list in ('Attributes', 'Methods'):
out += self._str_member_list(param_list)
out = self._str_indent(out,indent)
return '\n'.join(out)
class SphinxFunctionDoc(SphinxDocString, FunctionDoc):
def __init__(self, obj, doc=None, config={}):
self.use_plots = config.get('use_plots', False)
FunctionDoc.__init__(self, obj, doc=doc, config=config)
class SphinxClassDoc(SphinxDocString, ClassDoc):
def __init__(self, obj, doc=None, func_doc=None, config={}):
self.use_plots = config.get('use_plots', False)
ClassDoc.__init__(self, obj, doc=doc, func_doc=None, config=config)
class SphinxObjDoc(SphinxDocString):
def __init__(self, obj, doc=None, config={}):
self._f = obj
SphinxDocString.__init__(self, doc, config=config)
def get_doc_object(obj, what=None, doc=None, config={}):
if what is None:
if inspect.isclass(obj):
what = 'class'
elif inspect.ismodule(obj):
what = 'module'
elif callable(obj):
what = 'function'
else:
what = 'object'
if what == 'class':
return SphinxClassDoc(obj, func_doc=SphinxFunctionDoc, doc=doc,
config=config)
elif what in ('function', 'method'):
return SphinxFunctionDoc(obj, doc=doc, config=config)
else:
if doc is None:
doc = pydoc.getdoc(obj)
return SphinxObjDoc(obj, doc, config=config)
| bsd-3-clause |
sgibbes/zonal_stats_app | utilities/post_processing.py | 1 | 1991 | import pandas as pd
def biomass_to_mtc02(layer):
layer.emissions.SUM = layer.emissions.SUM.astype(float)
layer.emissions['emissions_mtc02'] = layer.emissions.SUM * 3.67 * .5 / 1000000
del layer.emissions['emissions']
return layer.emissions
def value_to_tcd_year(value):
remap_dict = {
1: [{'tcd': '1-10 %', 'sub': 40}],
2: [{'tcd': '11-15 %', 'sub': 80}],
3: [{'tcd': '16-20 %', 'sub': 120}],
4: [{'tcd': '21-25 %', 'sub': 160}],
5: [{'tcd': '26-30 %', 'sub': 200}],
6: [{'tcd': '31-50 %', 'sub': 240}],
7: [{'tcd': '51-75 %', 'sub': 280}],
8: [{'tcd': '76-100 %', 'sub': 320}]
}
# divide the coded value by interval. if its 1.175, use int to get 1
div = int(value / 40)
# look up that value to get TCD
tcd = remap_dict[div][0]['tcd']
# find this value which is subtraced from the coded value. 47-40 = 7. Gets the year
sub = remap_dict[div][0]['sub']
year = 2000 + (value - sub)
if year == 2000:
year = "no loss"
return tcd, year
def generate_list_columns(intersect, intersect_col):
columns_to_add = []
if len(intersect_col) > 0:
columns_to_add.append(intersect_col)
intersect_filename = intersect.split('\\')[-1]
admin_dict = [{'adm0': {1: "ISO"}, 'adm1': {2: "ID_1"}, 'adm2': {3: "ID_2"}, 'adm3': {4: "ID_3"},
'adm4': {5: "ID_4"}, 'adm5': {6: "ID_5"}}]
mydict = admin_dict[0]
try:
# incrementally add all admin levels for whatever admin level is intersected.
# example: adm2 will ad id_2, id_1, iso
for key, value in mydict[intersect_filename].items():
id_num = key
for key, value in mydict.items():
for i in range(0, id_num + 1):
try:
columns_to_add.append(mydict[key][i])
except KeyError:
pass
except KeyError:
pass
return columns_to_add
| apache-2.0 |
gviejo/ThalamusPhysio | python/main_make_MAP_ALLEN.py | 1 | 7282 | #!/usr/bin/env python
'''
File name: main_make_map.py
Author: Guillaume Viejo
Date created: 28/09/2017
Python Version: 3.5.2
TRying to make the mapping from the allen atlas
'''
import numpy as np
import pandas as pd
# from matplotlib.pyplot import plot,show,draw
import scipy.io
from functions import *
from pylab import *
from sklearn.decomposition import PCA
import _pickle as cPickle
import sys
from scipy.ndimage import gaussian_filter
import os
###############################################################################################################
# PARAMETERS
###############################################################################################################
mouses = ['Mouse12', 'Mouse17', 'Mouse20', 'Mouse32']
nbins = 200
binsize = 5
times = np.arange(0, binsize*(nbins+1), binsize) - (nbins*binsize)/2
times2 = times
space = 0.01
interval_to_cut = { 'Mouse12':[88,120],
'Mouse17':[84,123]}
# 'Mouse20':[92,131],
# 'Mouse32':[80,125]}
###############################################################################################################
# LOADING DATA
###############################################################################################################
for m in mouses:
# for m in ['Mouse20']:
data = cPickle.load(open("../data/maps/"+m+".pickle", 'rb'))
headdir = data['headdir']
x = data['x']
y = data['y']
total = data['total']
swr = data['movies']['swr']
theta = data['movies']['theta']
theta_dens = data['theta_dens']
###############################################################################################################
# INTERPOLATE DATA
###############################################################################################################
# total neuron
total = total / total.max()
xnew, ynew, xytotal = interpolate(total.copy(), x, y, space)
filtotal = gaussian_filter(xytotal, (10, 10))
newtotal = softmax(filtotal, 10.0, 0.1)
# head direction
xnew, ynew, newheaddir = interpolate(headdir.copy(), x, y, space)
newheaddir[newheaddir < np.percentile(newheaddir, 80)] = 0.0
# theta dens
xnew, ynew, newthetadens = interpolate(theta_dens.copy(), x, y, space)
# swr
newswr = []
for t in range(len(times)):
xnew, ynew, frame = interpolate(swr[:,:,t].copy(), x, y, space)
# frame = gaussian_filter(frame, (10, 10))
newswr.append(frame)
newswr = np.array(newswr)
newswr = gaussian_filter(newswr, (10,10,10))
newswr = newswr - newswr.min()
newswr = newswr / newswr.max()
# theta
phase = np.linspace(0, 2*np.pi, theta.shape[-1])
newtheta = []
for i in range(len(phase)):
xnew, ynew, frame = interpolate(theta[:,:,i].copy(), x, y, space)
newtheta.append(frame)
newtheta = np.array(newtheta)
newtheta = gaussian_filter(newtheta, (0, 0.2, 0.2))
newtheta = newtheta - newtheta.min()
newtheta = newtheta / newtheta.max()
thl_lines = None
# # thalamus lines and shanks position to creat the mapping session nucleus
if m+"_thalamus_lines.png" in os.listdir("../figures/mapping_to_align"):
thl_lines = scipy.ndimage.imread("../figures/mapping_to_align/"+m+"_thalamus_lines.png").sum(2)
xlines, ylines, thl_lines = interpolate(thl_lines, np.linspace(x.min(), x.max(), thl_lines.shape[1]),
np.linspace(y.min(), y.max(), thl_lines.shape[0]), space*0.1)
thl_lines -= thl_lines.min()
thl_lines /= thl_lines.max()
thl_lines[thl_lines<0.6] = np.NaN
figure()
imshow(thl_lines, extent = (xlines[0], xlines[-1], ylines[-1], ylines[0]))
xx, yy = np.meshgrid(x, y)
scatter(xx.flatten(), yy.flatten())
xticks(x, np.arange(len(x))[::-1])
yticks(y, np.arange(len(y)))
savefig("../figures/mapping_to_align/"+m+"_shanks_postion.pdf")
mse = np.abs(np.median(newswr, 0) - newswr).sum(1).sum(1)
idx_frames = np.arange(0, len(newswr), 10)#[np.argmax(mse)-15:np.argmax(mse)+15]
figure(figsize=(20,100))
col = 4
row = int(np.ceil(len(idx_frames)/col))
for i, fr in enumerate(idx_frames):
subplot(row, col, i+1)
frame = newswr[fr]
rgbframe = get_rgb(frame.copy(), np.ones_like(newtotal), newtotal.copy(), 0.65)
imshow(rgbframe, aspect = 'equal', extent = (xnew[0], xnew[-1], ynew[-1], ynew[0]))
# imshow(frame, aspect = 'equal', vmin = newswr.min(), vmax = newswr.max(), extent = (xnew[0], xnew[-1], ynew[-1], ynew[0]), cmap = 'jet')
if thl_lines is not None:
imshow(thl_lines, aspect = 'equal', extent = (xnew[0], xnew[-1], ynew[-1], ynew[0]))
contour(newheaddir, extent = (xnew[0], xnew[-1], ynew[0], ynew[-1]), cmap = 'winter')
gca().set_aspect('equal')
gca().set_xticks(np.arange(xnew[0], xnew[-1], 0.2))
gca().set_yticks(np.arange(ynew[0], ynew[-1], 0.2))
title("T = "+str(int(times[fr]))+" ms")
savefig("../figures/mapping_to_align/"+m+"_swr_frames.pdf")
idx_frames = np.arange(len(newtheta))
figure(figsize = (20,100))
col = 4
row = int(np.ceil(len(idx_frames)/col))
for i, fr in enumerate(idx_frames):
subplot(row, col, i+1)
frame = newtheta[fr]
rgbframe = get_rgb(frame.copy(), np.ones_like(newtotal), newtotal.copy(), 0.65)
imshow(rgbframe, aspect = 'equal', extent = (xnew[0], xnew[-1], ynew[-1], ynew[0]))
contour(newheaddir, extent = (xnew[0], xnew[-1], ynew[0], ynew[-1]), cmap = 'winter')
if thl_lines is not None:
imshow(thl_lines, aspect = 'equal', extent = (xnew[0], xnew[-1], ynew[-1], ynew[0]))
gca().set_aspect('equal')
gca().set_xticks(np.arange(xnew[0], xnew[-1], 0.2))
gca().set_yticks(np.arange(ynew[0], ynew[-1], 0.2))
title("phi = "+str(int(phase[fr])))
savefig("../figures/mapping_to_align/"+m+"_theta_frames.pdf")
figure()
imshow(newthetadens, extent = (xnew[0], xnew[-1], ynew[-1], ynew[0]), cmap = 'jet')
contour(newheaddir, extent = (xnew[0], xnew[-1], ynew[-1], ynew[0]), origin = 'upper', cmap = 'winter')
if thl_lines is not None:
imshow(thl_lines, aspect = 'equal', extent = (xnew[0], xnew[-1], ynew[-1], ynew[0]))
gca().set_aspect('equal')
savefig("../figures/mapping_to_align/"+m+"_hd_density.pdf")
from matplotlib import animation, rc
from IPython.display import HTML, Image
rc('animation', html='html5')
fig, axes = plt.subplots(1,1)
start = 0
frame = newswr[start]
rgbframe = get_rgb(frame.copy(), np.ones_like(newtotal), newtotal.copy(), 0.65)
images = [axes.imshow(get_rgb(newswr[0].copy(), np.ones_like(newtotal), newtotal.copy(), 0.65), vmin = newswr.min(), vmax = newswr.max(), aspect = 'equal', origin = 'upper', extent = (xnew[0], xnew[-1], ynew[-1], ynew[0]))]
if thl_lines is not None:
axes.imshow(thl_lines, aspect = 'equal', origin = 'upper', extent = (xlines[0], xlines[-1], ylines[-1], ylines[0]))
def init():
images[0].set_data(get_rgb(frame.copy(), np.ones_like(newtotal), newtotal.copy(), 0.65))
return images
def animate(t):
frame = newswr[t]
rgbframe = get_rgb(frame.copy(), np.ones_like(newtotal), newtotal.copy(), 0.65)
images[0].set_data(rgbframe)
images[0].axes.set_title("time = "+str(times[t]))
return images
anim = animation.FuncAnimation(fig, animate, init_func=init,
frames=range(start,len(newswr)), interval=10, blit=False, repeat_delay = 1000)
anim.save('../figures/mapping_to_align/swr_mod_'+m+'.gif', writer='imagemagick', fps=15)
| gpl-3.0 |
widdowquinn/SI_Holmes_etal_2017 | multiplexing/multiplex_data.py | 1 | 6579 | #!/usr/bin/env python3.5
#
# multiplex_data.py
#
# Script to take input datasets for the Holmes et al. paper, and split them
# into several test and training sets for cross-validation, writing the
# datasets to several subdirectories.
#
# (C) The James Hutton Institute 2016
# Author: Leighton Pritchard
"""
multiplex_data.py
A script to multiplex input data for Stan models into several training and
test sets.
"""
import logging
import logging.handlers
import os
import random
import sys
import time
from argparse import ArgumentParser
import pandas as pd
class MultiplexException(Exception):
"""Exception raised when script fails"""
def __init__(self, message):
super().__init__(message)
# Parse command-line
def parse_cmdline():
""" Parse command-line arguments
"""
parser = ArgumentParser(prog=__file__)
parser.add_argument("-o", "--outdir", dest="outdirname",
action="store", default='multiplexed_data', type=str,
help="Parent directory for output subfolders")
parser.add_argument("-k", dest="kfold",
action="store", default=10, type=int,
help="Number of test/training datasets to create")
parser.add_argument("-d", "--data", dest="datafile",
action="store", default=None, type=str,
help="Path to input data in tab-separated format")
parser.add_argument("-l", "--logfile", dest="logfile",
action="store", default=None, type=str,
help="Logfile location")
parser.add_argument("-v", "--verbose", dest="verbose",
action="store_true",
help="Give verbose output")
parser.add_argument("--seed", dest="seedval",
action="store", default=None, type=int,
help="Seed random values for testing")
return parser.parse_args()
# Set up logger
def logger_setup(logfilename=None, verbose=False):
"""Return logger for script"""
logger = logging.getLogger(__file__)
logger.setLevel(logging.DEBUG)
# Add handler for STDERR
err_handler = logging.StreamHandler(sys.stderr)
logger.addHandler(err_handler)
err_formatter = logging.Formatter('%(levelname)s: %(message)s')
err_handler.setFormatter(err_formatter)
# Add logfile handler
if logfilename:
try:
logstream = open(logfilename, 'w')
err_handler_file = logging.StreamHandler(logstream)
err_handler_file.setFormatter(err_formatter)
err_handler_file.setLevel(logging.INFO)
logger.addHandler(err_handler_file)
except:
msg = "Could not open {0} for logging".format(logfilename)
logger.error(msg)
raise MultiplexException(msg)
# Set loglevel
if verbose:
err_handler.setLevel(logging.INFO)
else:
err_handler.setLevel(logging.WARNING)
return logger
def load_data(filename):
"""Return input data and unique locus tags.
Assumes that data is tab-separated.
"""
data = pd.read_csv(filename, sep="\t")
return (data, data['locus_tag'].unique())
def chunks(iterable, chunksize):
"""Return the passed iterable in chunks of given size"""
for idx in range(0, len(iterable), chunksize):
yield iterable[idx:idx + chunksize]
def split_and_write_data(dataset, kfold, outdir, seedval):
"""Write k-fold CV datasets to subdirectories
We insist that the parent directory is created anew, to avoid problems
with overwriting some, but not all, previous k-fold CV datasets.
"""
os.makedirs(outdir, exist_ok=False)
# seed the PRNG?
if seedval:
random.seed(seedval)
# Shuffle dataset indices and calculate k-fold step size
indices = list(dataset.index)
random.shuffle(indices)
step = int(len(dataset)/kfold)
# Shuffled index chunks of size step are the holdout sets.
holdouts = chunks(indices, step)
#
for idx, test_indices in enumerate(holdouts):
mplexdir = os.path.join(outdir, "multiplex{:05d}".format(idx))
os.makedirs(mplexdir, exist_ok=False)
dataset.iloc[test_indices].to_csv(os.path.join(mplexdir, "test.tab"),
sep="\t",
index=False)
dataset.drop(test_indices).to_csv(os.path.join(mplexdir, "train.tab"),
sep="\t",
index=False)
# Main method for script
def main():
"""Main function for script."""
args = parse_cmdline()
# Set up logger
logger = logger_setup(args.logfile, args.verbose)
logger.info('# %s logfile', __file__)
logger.info('# %s', time.asctime())
logger.info(args)
# Load input data
try:
logger.info("Loading data file %s", args.datafile)
data, tag_ids = load_data(args.datafile)
ntags = len(tag_ids)
logger.info("Loaded data from %s", args.datafile)
logger.info("Data shape: %d x %d", *data.shape)
logger.info("Data contains %d unique locus tags", ntags)
logger.info("Data headers: %s", list(data.columns))
except:
msg = "Could not load data file {0}".format(args.datafile)
logger.error(msg)
raise MultiplexException(msg)
# Split data into k subsets, writing each to its own subdirectory
if args.kfold < 2 or args.kfold > data.shape[0]:
msg = "Value of k not valid (got %d, should be in range [2,%d])"
logger.error(msg, args.kfold, data.shape[0])
raise MultiplexException(msg % (args.kfold, data.shape[0]))
try:
logger.info("Writing %d k-fold CV datasets to subdirectories",
args.kfold)
logger.info("Main subdirectory: %s", args.outdirname)
split_and_write_data(data, args.kfold, args.outdirname, args.seedval)
logger.info("New CV data subdirectories:")
logger.info("%s", args.outdirname)
for dirname in os.listdir(args.outdirname):
logger.info("\t|-%s", dirname)
for fname in os.listdir(os.path.join(args.outdirname, dirname)):
logger.info("\t|\t|-%s", fname)
logger.info("\t|")
except:
msg = "Writing CV datasets failed (exiting)"
logger.error(msg)
raise MultiplexException(msg)
logger.info("Exiting cleanly %s", time.asctime())
# SCRIPT
if __name__ == '__main__':
main()
| mit |
wright-group/WrightTools | examples/join.py | 1 | 1385 | """
Join
=====
Some examples of how joining works.
"""
import numpy as np
from matplotlib import pyplot as plt
import WrightTools as wt
a = wt.data.Data(name="a")
b = wt.data.Data(name="b")
a.create_variable("x", np.linspace(0, 10, 51)[:, None])
b.create_variable("x", np.linspace(5, 15, 51)[:, None])
a.create_variable("y", np.linspace(0, 10, 51)[None, :])
b.create_variable("y", np.linspace(0, 10, 51)[None, :])
a.create_channel("z", np.sin(a.x[:]) * np.cos(a.y[:]) + 1)
b.create_channel("z", 5 * np.exp(-((b.x[:] - 10) ** 2)) * np.exp(-((b.y[:] - 5) ** 2)) + 1)
a.transform("x", "y")
b.transform("x", "y")
first = wt.data.join([a, b], name="first")
last = wt.data.join([a, b], method="last", name="last")
min = wt.data.join([a, b], method="min", name="min")
max = wt.data.join([a, b], method="max", name="max")
sum = wt.data.join([a, b], method="sum", name="sum")
mean = wt.data.join([a, b], method="mean", name="mean")
# Plot the splits in columns
fig, gs = wt.artists.create_figure(nrows=4, cols=[1, 1])
for i, da in enumerate([a, b, first, last, min, max, sum, mean]):
ax = plt.subplot(gs[i])
ax.pcolor(da, vmin=0, vmax=6)
wt.artists.corner_text(da.natural_name, ax=ax)
ax.set_xlim(first.axes[0].min(), first.axes[0].max())
ax.set_ylim(first.axes[1].min(), first.axes[1].max())
wt.artists.set_fig_labels(xlabel=a.axes[0].label, ylabel=a.axes[1].label)
| mit |
sanguinariojoe/aquagpusph | examples/2D/spheric_testcase10_waveimpact/cMake/plot_t.py | 14 | 5704 | #******************************************************************************
# *
# * ** * * * * *
# * * * * * * * * * *
# ***** * * * * ***** ** *** * * ** *** *** *
# * * * * * * * * * * * * * * * * * * * *
# * * * * * * * * * * * * * * * * * * * *
# * * ** * ** * * *** *** *** ** *** * * *
# * * * *
# ** * * *
# *
#******************************************************************************
# *
# This file is part of AQUAgpusph, a free CFD program based on SPH. *
# Copyright (C) 2012 Jose Luis Cercos Pita <[email protected]> *
# *
# AQUAgpusph is free software: you can redistribute it and/or modify *
# it under the terms of the GNU General Public License as published by *
# the Free Software Foundation, either version 3 of the License, or *
# (at your option) any later version. *
# *
# AQUAgpusph is distributed in the hope that it will be useful, *
# but WITHOUT ANY WARRANTY; without even the implied warranty of *
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
# GNU General Public License for more details. *
# *
# You should have received a copy of the GNU General Public License *
# along with AQUAgpusph. If not, see <http://www.gnu.org/licenses/>. *
# *
#******************************************************************************
import math
import os
from os import path
import matplotlib.pyplot as plt
import matplotlib.animation as animation
def readFile(filepath):
""" Read and extract data from a file
:param filepath File ot read
"""
abspath = filepath
if not path.isabs(filepath):
abspath = path.join(path.dirname(path.abspath(__file__)), filepath)
# Read the file by lines
f = open(abspath, "r")
lines = f.readlines()
f.close()
data = []
for l in lines[1:-1]: # Skip the last line, which may be unready
l = l.strip()
while l.find(' ') != -1:
l = l.replace(' ', ' ')
fields = l.split(' ')
try:
data.append(map(float, fields))
except:
continue
# Transpose the data
return [list(d) for d in zip(*data)]
fig = plt.figure()
ax = fig.add_subplot(111)
t = [0.0]
e = [0.0]
fove = ax.fill_between(t,
0,
e,
facecolor='red',
linewidth=0.0)
fave = ax.fill_between(t,
0,
e,
facecolor='blue',
linestyle="-",
linewidth=0.0)
love, = ax.plot(t,
e,
color='#990000',
linestyle="-",
linewidth=2.0,
label='Average overhead')
lave, = ax.plot(t,
e,
color='#000099',
linestyle="-",
linewidth=2.0,
label='Average elapsed')
line, = ax.plot(t,
e,
color="black",
linestyle="-",
linewidth=1.0,
alpha=0.5,
label='Elapsed')
def update(frame_index):
plt.tight_layout()
data = readFile('Performance.dat')
t = data[0]
e = data[1]
e_ela = data[2]
e_ove = data[5]
# Clear nan values
for i in range(len(e_ela)):
if math.isnan(e_ela[i]):
e_ela[i] = 0.0
if math.isnan(e_ove[i]):
e_ove[i] = 0.0
e_ave = [e_ela[i] - e_ove[i] for i in range(len(e_ela))]
# clear the fills
for coll in (ax.collections):
ax.collections.remove(coll)
fove = ax.fill_between(t,
0,
e_ela,
facecolor='red',
linestyle="-",
linewidth=2.0)
fave = ax.fill_between(t,
0,
e_ave,
facecolor='blue',
linestyle="-",
linewidth=2.0)
love.set_data(t, e_ela)
lave.set_data(t, e_ave)
line.set_data(t, e)
ax.set_xlim(0, t[-1])
ax.set_ylim(0, 1.5 * e_ela[-1])
# Set some options
ax.grid()
ax.set_xlim(0, 0.1)
ax.set_ylim(-0.1, 0.1)
ax.set_autoscale_on(False)
ax.set_xlabel(r"$t \, [\mathrm{s}]$", fontsize=21)
ax.set_ylabel(r"$t_{CPU} \, [\mathrm{s}]$", fontsize=21)
ax.legend(handles=[lave, love, line], loc='upper right')
ani = animation.FuncAnimation(fig, update, interval=5000)
plt.show()
| gpl-3.0 |
EtiCui/Msc-UdeS | dataAnalysis/dihedral_histogram.py | 1 | 5762 | #!/usr/bin/python
"""
These function will read LAMMPS output (dihedral.#step.out) of the dihedral angles (column1:#, column2:angle value),
to plot an histogram of the angle's frequencies.
Works in parallel with mpi4py, altough it's very fast without parallelisation.
Usage:
#change first and last desired step in the script
python dihedral_histogram.py
Requirement:
python2.7
numpy
matplotlib
mpi4py
pandas
TODO
Read a trajectory from a single file
"""
import numpy as np
import matplotlib.pyplot as plt
from mpi4py import MPI
from glob import glob
import pandas as pd
rank = MPI.COMM_WORLD.Get_rank()
nprocs = MPI.COMM_WORLD.Get_size()
#first desired step
first=-50
#last desired step
last=-1
def open_dihedral_file(fname):
"""Function to load a dihedral output from lammps (name: dihedral.STEP.out).
Args:
----
fname(string): filename of the output (ex:dihedral.timestep.out)
The output must countains the second column as the dihedral angle
Returns:
----
dihedral_data(array): an array of all the dihedral angle
"""
f = open(fname, "r")
get_atoms = False
dihedral_data = []
for line in f:
if line.startswith("ITEM: ENTRIES"):
get_atoms = True
line = next(f)
# get the index and dihedral
if get_atoms == True:
number, dihedral_angle = (int(line.split()[0]),
float(line.split()[1]))
dihedral_data.append(dihedral_angle)
#only returns the angle
return dihedral_data
def get_histogram_dihedral(fname=None,dihedral_data=None,histogram_bins=np.arange(-180,181)):
""" This function creates a numpy array with the frequencies of occurence for each angle
Args:
----
fname(string): filename (optional)
dihedral_data(array): array of all the dihedral angles (optional if fname is given)
histogram_bins(array): bins for the histogram(default -180 to 180 with increment of 1)
Returns:
----
histogram_bins(array):bins used for the histogram_bins
dihedral_histogram(array): Occurence of each angle
"""
if dihedral_data == None:
dihedral_data = open_dihedral_file(fname)
#create a histogram for the dihedral angle
dihedral_histogram,bins = np.histogram(dihedral_data,histogram_bins)
return histogram_bins[:-1],dihedral_histogram
def open_multiple_dihedral_file():
""" This function will open a trajecteory in parallel to create a global histogram
Returns:
----
For rank 0 only (None for other ranks)
dihedral_df(dataframe): a dataframe with the bins as index and the angle frequencies as the column
trans_ratio(float) : trans dihedral ratio
gauche_ratio(float): gauche dihedral ratio
gauche_minus_ratio(float): gauche minus ratio
output_dihedral.out(file): The first column is the bins and the second the frequencies
"""
rank = MPI.COMM_WORLD.Get_rank()
nprocs = MPI.COMM_WORLD.Get_size()
# create a list of all the dihedrals filename
complete_dihedral = glob("dihedral*")
# sort the list
complete_dihedral.sort(key=lambda f: int(filter(str.isdigit, f)))
# consider only the desired file
last5ns_dihedral = complete_dihedral[first:last]
fragment_dihedral = np.array_split(last5ns_dihedral, nprocs)
for dihedral_files in np.nditer(fragment_dihedral[rank][:], flags=['external_loop']):
dihedral_histogram_rank = np.zeros(shape=(1),dtype=np.int)
intrachain_histogram_rank = np.zeros(shape=(1),dtype=np.int)
for dihedral_file in dihedral_files:
histogram_bins,dihedral_histogram = get_histogram_dihedral(dihedral_file)
#reshape the array to have the same size
if len(dihedral_histogram_rank) < len(dihedral_histogram):
dihedral_histogram_rank.resize(dihedral_histogram.shape)
dihedral_histogram_rank = dihedral_histogram_rank + dihedral_histogram
#the first processor will gather all the arays
MPI.COMM_WORLD.barrier()
intrachain_histogram_total = np.zeros(intrachain_histogram_rank.shape,dtype=np.int)
dihedral_histogram_total = np.zeros(dihedral_histogram_rank.shape,dtype=np.int)
MPI.COMM_WORLD.Reduce(intrachain_histogram_rank,intrachain_histogram_total,op = MPI.SUM,root = 0)
MPI.COMM_WORLD.Reduce(dihedral_histogram_rank,dihedral_histogram_total,op = MPI.SUM,root = 0)
#The first rank calculate the ratios and the output
if rank == 0:
dihedral_df = pd.DataFrame({"bins":histogram_bins,"dihedral_angle":dihedral_histogram_total})
dihedral_df = dihedral_df.set_index(["bins"])
#file
dihedral_df.to_csv("output_dihedral.out",sep = " ")
#ratio of the dihedral configuration
trans_ratio = float((dihedral_df.loc[:-120].sum()+dihedral_df.loc[120:].sum())/dihedral_df.sum())
gauche_minus_ratio = float(dihedral_df.loc[-120:0].sum()/dihedral_df.sum())
gauche_ratio = float(dihedral_df.loc[0:120].sum()/dihedral_df.sum())
print("Ratio of trans,gauche+ and gauche-: ",trans_ratio ,gauche_ratio,gauche_minus_ratio)
return dihedral_df, trans_ratio,gauche_ratio,gauche_minus_ratio
else:
return None,None,None,None
def visualize(dihedral_df):
"""Function to visualize the histogram
Args:
dihedral_df(dataframe): dataframe with the bins and frequencies
Returns:
a matplotlib histogram of the dihedral angles
"""
plt.bar(dihedral_df.index,dihedral_df.dihedral_angle)
plt.xlabel(r"$\phi(^o)$")
plt.ylabel(r"Nombre d'angles de torsion")
plt.show()
dihedral_df, trans_ratio,gauche_ratio,gauche_minus_ratio = open_multiple_dihedral_file()
if rank == 0:
visualize(dihedral_df)
| mit |
grlee77/pywt | demo/dwt2_dwtn_image.py | 3 | 1776 | #!/usr/bin/env python
# -*- coding: utf-8 -*-
import numpy as np
import matplotlib.pyplot as plt
import pywt
import pywt.data
# Load image
original = pywt.data.camera()
# Wavelet transform of image, and plot approximation and details
titles = ['Approximation', ' Horizontal detail',
'Vertical detail', 'Diagonal detail']
coeffs2 = pywt.dwt2(original, 'bior1.3')
LL, (LH, HL, HH) = coeffs2
fig = plt.figure()
for i, a in enumerate([LL, LH, HL, HH]):
ax = fig.add_subplot(2, 2, i + 1)
ax.imshow(a, interpolation="nearest", cmap=plt.cm.gray)
ax.set_title(titles[i], fontsize=12)
ax.set_xticks([])
ax.set_yticks([])
fig.suptitle("dwt2 coefficients", fontsize=14)
# Now reconstruct and plot the original image
reconstructed = pywt.idwt2(coeffs2, 'bior1.3')
fig = plt.figure()
plt.imshow(reconstructed, interpolation="nearest", cmap=plt.cm.gray)
# Check that reconstructed image is close to the original
np.testing.assert_allclose(original, reconstructed, atol=1e-13, rtol=1e-13)
# Now do the same with dwtn/idwtn, to show the difference in their signatures
coeffsn = pywt.dwtn(original, 'bior1.3')
fig = plt.figure()
for i, key in enumerate(['aa', 'ad', 'da', 'dd']):
ax = fig.add_subplot(2, 2, i + 1)
ax.imshow(coeffsn[key], interpolation="nearest", cmap=plt.cm.gray)
ax.set_title(titles[i], fontsize=12)
ax.set_xticks([])
ax.set_yticks([])
fig.suptitle("dwtn coefficients", fontsize=14)
# Now reconstruct and plot the original image
reconstructed = pywt.idwtn(coeffsn, 'bior1.3')
fig = plt.figure()
plt.imshow(reconstructed, interpolation="nearest", cmap=plt.cm.gray)
# Check that reconstructed image is close to the original
np.testing.assert_allclose(original, reconstructed, atol=1e-13, rtol=1e-13)
plt.show()
| mit |
djpine/pyman | Book/apdx1/Supporting Materials/PyInstallTest.py | 3 | 1524 | #!/bin/sh
# This code tests that your Python installation worked.
# It generates a png image file that you should e-mail
# to the address shown on the plot
import scipy
import numpy
import matplotlib
import matplotlib.pyplot as plt
import platform
import socket
# If you are a student, please fill in your first and last
# names inside the quotes in the two lines below. Do not
# modify anything else in this file
your_first_name = 'Dana'
your_last_name = 'Smith'
# If you are an instructor, modify the next 3 lines.
# You do not need to modify anything else in this file.
classname = 'Intro Exp Phys I'
term = 'Fall_2012' # must contain no spaces
email = '[email protected]'
plt.plot([0,1], 'r', [1,0], 'b')
plt.text( 0.5, 0.9, '{0:s} {1:s}\n{2:s}\n{3:s}'
.format(your_first_name, your_last_name, classname, term),
horizontalalignment='center', verticalalignment='top',
size = 'x-large', bbox=dict(facecolor='purple', alpha=0.4))
plt.text( 0.5, 0.1,
'scipy {0:s}\nnumpy {1:s}\nmatplotlib {2:s}\non {3:s}\n{4:s}'
.format(scipy.__version__, numpy.__version__,
matplotlib.__version__, platform.platform(),
socket.gethostname() ) ,
horizontalalignment='center', verticalalignment='bottom')
filename = your_last_name + '_' + your_first_name + '_' + \
term + '.png'
plt.title('{0:s} "{1:s}"\n E-mail this file to "{2:s}"'
.format('This plot has been saved on your computer as',
filename, email), fontsize=12)
plt.savefig(filename)
plt.show()
| cc0-1.0 |
akionakamura/scikit-learn | sklearn/preprocessing/tests/test_data.py | 113 | 38432 | import warnings
import numpy as np
import numpy.linalg as la
from scipy import sparse
from distutils.version import LooseVersion
from sklearn.utils.testing import assert_almost_equal, clean_warning_registry
from sklearn.utils.testing import assert_array_almost_equal
from sklearn.utils.testing import assert_array_equal
from sklearn.utils.testing import assert_equal
from sklearn.utils.testing import assert_greater_equal
from sklearn.utils.testing import assert_less_equal
from sklearn.utils.testing import assert_raises
from sklearn.utils.testing import assert_raises_regex
from sklearn.utils.testing import assert_true
from sklearn.utils.testing import assert_false
from sklearn.utils.testing import assert_warns_message
from sklearn.utils.testing import assert_no_warnings
from sklearn.utils.sparsefuncs import mean_variance_axis
from sklearn.preprocessing.data import _transform_selected
from sklearn.preprocessing.data import Binarizer
from sklearn.preprocessing.data import KernelCenterer
from sklearn.preprocessing.data import Normalizer
from sklearn.preprocessing.data import normalize
from sklearn.preprocessing.data import OneHotEncoder
from sklearn.preprocessing.data import StandardScaler
from sklearn.preprocessing.data import scale
from sklearn.preprocessing.data import MinMaxScaler
from sklearn.preprocessing.data import minmax_scale
from sklearn.preprocessing.data import MaxAbsScaler
from sklearn.preprocessing.data import maxabs_scale
from sklearn.preprocessing.data import RobustScaler
from sklearn.preprocessing.data import robust_scale
from sklearn.preprocessing.data import add_dummy_feature
from sklearn.preprocessing.data import PolynomialFeatures
from sklearn.utils.validation import DataConversionWarning
from sklearn import datasets
iris = datasets.load_iris()
def toarray(a):
if hasattr(a, "toarray"):
a = a.toarray()
return a
def test_polynomial_features():
# Test Polynomial Features
X1 = np.arange(6)[:, np.newaxis]
P1 = np.hstack([np.ones_like(X1),
X1, X1 ** 2, X1 ** 3])
deg1 = 3
X2 = np.arange(6).reshape((3, 2))
x1 = X2[:, :1]
x2 = X2[:, 1:]
P2 = np.hstack([x1 ** 0 * x2 ** 0,
x1 ** 1 * x2 ** 0,
x1 ** 0 * x2 ** 1,
x1 ** 2 * x2 ** 0,
x1 ** 1 * x2 ** 1,
x1 ** 0 * x2 ** 2])
deg2 = 2
for (deg, X, P) in [(deg1, X1, P1), (deg2, X2, P2)]:
P_test = PolynomialFeatures(deg, include_bias=True).fit_transform(X)
assert_array_almost_equal(P_test, P)
P_test = PolynomialFeatures(deg, include_bias=False).fit_transform(X)
assert_array_almost_equal(P_test, P[:, 1:])
interact = PolynomialFeatures(2, interaction_only=True, include_bias=True)
X_poly = interact.fit_transform(X)
assert_array_almost_equal(X_poly, P2[:, [0, 1, 2, 4]])
def test_scaler_1d():
# Test scaling of dataset along single axis
rng = np.random.RandomState(0)
X = rng.randn(5)
X_orig_copy = X.copy()
scaler = StandardScaler()
X_scaled = scaler.fit(X).transform(X, copy=False)
assert_array_almost_equal(X_scaled.mean(axis=0), 0.0)
assert_array_almost_equal(X_scaled.std(axis=0), 1.0)
# check inverse transform
X_scaled_back = scaler.inverse_transform(X_scaled)
assert_array_almost_equal(X_scaled_back, X_orig_copy)
# Test with 1D list
X = [0., 1., 2, 0.4, 1.]
scaler = StandardScaler()
X_scaled = scaler.fit(X).transform(X, copy=False)
assert_array_almost_equal(X_scaled.mean(axis=0), 0.0)
assert_array_almost_equal(X_scaled.std(axis=0), 1.0)
X_scaled = scale(X)
assert_array_almost_equal(X_scaled.mean(axis=0), 0.0)
assert_array_almost_equal(X_scaled.std(axis=0), 1.0)
X = np.ones(5)
assert_array_equal(scale(X, with_mean=False), X)
def test_standard_scaler_numerical_stability():
"""Test numerical stability of scaling"""
# np.log(1e-5) is taken because of its floating point representation
# was empirically found to cause numerical problems with np.mean & np.std.
x = np.zeros(8, dtype=np.float64) + np.log(1e-5, dtype=np.float64)
if LooseVersion(np.__version__) >= LooseVersion('1.9'):
# This does not raise a warning as the number of samples is too low
# to trigger the problem in recent numpy
x_scaled = assert_no_warnings(scale, x)
assert_array_almost_equal(scale(x), np.zeros(8))
else:
w = "standard deviation of the data is probably very close to 0"
x_scaled = assert_warns_message(UserWarning, w, scale, x)
assert_array_almost_equal(x_scaled, np.zeros(8))
# with 2 more samples, the std computation run into numerical issues:
x = np.zeros(10, dtype=np.float64) + np.log(1e-5, dtype=np.float64)
w = "standard deviation of the data is probably very close to 0"
x_scaled = assert_warns_message(UserWarning, w, scale, x)
assert_array_almost_equal(x_scaled, np.zeros(10))
x = np.ones(10, dtype=np.float64) * 1e-100
x_small_scaled = assert_no_warnings(scale, x)
assert_array_almost_equal(x_small_scaled, np.zeros(10))
# Large values can cause (often recoverable) numerical stability issues:
x_big = np.ones(10, dtype=np.float64) * 1e100
w = "Dataset may contain too large values"
x_big_scaled = assert_warns_message(UserWarning, w, scale, x_big)
assert_array_almost_equal(x_big_scaled, np.zeros(10))
assert_array_almost_equal(x_big_scaled, x_small_scaled)
x_big_centered = assert_warns_message(UserWarning, w, scale, x_big,
with_std=False)
assert_array_almost_equal(x_big_centered, np.zeros(10))
assert_array_almost_equal(x_big_centered, x_small_scaled)
def test_scaler_2d_arrays():
# Test scaling of 2d array along first axis
rng = np.random.RandomState(0)
X = rng.randn(4, 5)
X[:, 0] = 0.0 # first feature is always of zero
scaler = StandardScaler()
X_scaled = scaler.fit(X).transform(X, copy=True)
assert_false(np.any(np.isnan(X_scaled)))
assert_array_almost_equal(X_scaled.mean(axis=0), 5 * [0.0])
assert_array_almost_equal(X_scaled.std(axis=0), [0., 1., 1., 1., 1.])
# Check that X has been copied
assert_true(X_scaled is not X)
# check inverse transform
X_scaled_back = scaler.inverse_transform(X_scaled)
assert_true(X_scaled_back is not X)
assert_true(X_scaled_back is not X_scaled)
assert_array_almost_equal(X_scaled_back, X)
X_scaled = scale(X, axis=1, with_std=False)
assert_false(np.any(np.isnan(X_scaled)))
assert_array_almost_equal(X_scaled.mean(axis=1), 4 * [0.0])
X_scaled = scale(X, axis=1, with_std=True)
assert_false(np.any(np.isnan(X_scaled)))
assert_array_almost_equal(X_scaled.mean(axis=1), 4 * [0.0])
assert_array_almost_equal(X_scaled.std(axis=1), 4 * [1.0])
# Check that the data hasn't been modified
assert_true(X_scaled is not X)
X_scaled = scaler.fit(X).transform(X, copy=False)
assert_false(np.any(np.isnan(X_scaled)))
assert_array_almost_equal(X_scaled.mean(axis=0), 5 * [0.0])
assert_array_almost_equal(X_scaled.std(axis=0), [0., 1., 1., 1., 1.])
# Check that X has not been copied
assert_true(X_scaled is X)
X = rng.randn(4, 5)
X[:, 0] = 1.0 # first feature is a constant, non zero feature
scaler = StandardScaler()
X_scaled = scaler.fit(X).transform(X, copy=True)
assert_false(np.any(np.isnan(X_scaled)))
assert_array_almost_equal(X_scaled.mean(axis=0), 5 * [0.0])
assert_array_almost_equal(X_scaled.std(axis=0), [0., 1., 1., 1., 1.])
# Check that X has not been copied
assert_true(X_scaled is not X)
def test_min_max_scaler_iris():
X = iris.data
scaler = MinMaxScaler()
# default params
X_trans = scaler.fit_transform(X)
assert_array_almost_equal(X_trans.min(axis=0), 0)
assert_array_almost_equal(X_trans.min(axis=0), 0)
assert_array_almost_equal(X_trans.max(axis=0), 1)
X_trans_inv = scaler.inverse_transform(X_trans)
assert_array_almost_equal(X, X_trans_inv)
# not default params: min=1, max=2
scaler = MinMaxScaler(feature_range=(1, 2))
X_trans = scaler.fit_transform(X)
assert_array_almost_equal(X_trans.min(axis=0), 1)
assert_array_almost_equal(X_trans.max(axis=0), 2)
X_trans_inv = scaler.inverse_transform(X_trans)
assert_array_almost_equal(X, X_trans_inv)
# min=-.5, max=.6
scaler = MinMaxScaler(feature_range=(-.5, .6))
X_trans = scaler.fit_transform(X)
assert_array_almost_equal(X_trans.min(axis=0), -.5)
assert_array_almost_equal(X_trans.max(axis=0), .6)
X_trans_inv = scaler.inverse_transform(X_trans)
assert_array_almost_equal(X, X_trans_inv)
# raises on invalid range
scaler = MinMaxScaler(feature_range=(2, 1))
assert_raises(ValueError, scaler.fit, X)
def test_min_max_scaler_zero_variance_features():
# Check min max scaler on toy data with zero variance features
X = [[0., 1., +0.5],
[0., 1., -0.1],
[0., 1., +1.1]]
X_new = [[+0., 2., 0.5],
[-1., 1., 0.0],
[+0., 1., 1.5]]
# default params
scaler = MinMaxScaler()
X_trans = scaler.fit_transform(X)
X_expected_0_1 = [[0., 0., 0.5],
[0., 0., 0.0],
[0., 0., 1.0]]
assert_array_almost_equal(X_trans, X_expected_0_1)
X_trans_inv = scaler.inverse_transform(X_trans)
assert_array_almost_equal(X, X_trans_inv)
X_trans_new = scaler.transform(X_new)
X_expected_0_1_new = [[+0., 1., 0.500],
[-1., 0., 0.083],
[+0., 0., 1.333]]
assert_array_almost_equal(X_trans_new, X_expected_0_1_new, decimal=2)
# not default params
scaler = MinMaxScaler(feature_range=(1, 2))
X_trans = scaler.fit_transform(X)
X_expected_1_2 = [[1., 1., 1.5],
[1., 1., 1.0],
[1., 1., 2.0]]
assert_array_almost_equal(X_trans, X_expected_1_2)
# function interface
X_trans = minmax_scale(X)
assert_array_almost_equal(X_trans, X_expected_0_1)
X_trans = minmax_scale(X, feature_range=(1, 2))
assert_array_almost_equal(X_trans, X_expected_1_2)
def test_minmax_scale_axis1():
X = iris.data
X_trans = minmax_scale(X, axis=1)
assert_array_almost_equal(np.min(X_trans, axis=1), 0)
assert_array_almost_equal(np.max(X_trans, axis=1), 1)
def test_min_max_scaler_1d():
# Test scaling of dataset along single axis
rng = np.random.RandomState(0)
X = rng.randn(5)
X_orig_copy = X.copy()
scaler = MinMaxScaler()
X_scaled = scaler.fit(X).transform(X)
assert_array_almost_equal(X_scaled.min(axis=0), 0.0)
assert_array_almost_equal(X_scaled.max(axis=0), 1.0)
# check inverse transform
X_scaled_back = scaler.inverse_transform(X_scaled)
assert_array_almost_equal(X_scaled_back, X_orig_copy)
# Test with 1D list
X = [0., 1., 2, 0.4, 1.]
scaler = MinMaxScaler()
X_scaled = scaler.fit(X).transform(X)
assert_array_almost_equal(X_scaled.min(axis=0), 0.0)
assert_array_almost_equal(X_scaled.max(axis=0), 1.0)
# Constant feature.
X = np.zeros(5)
scaler = MinMaxScaler()
X_scaled = scaler.fit(X).transform(X)
assert_greater_equal(X_scaled.min(), 0.)
assert_less_equal(X_scaled.max(), 1.)
def test_scaler_without_centering():
rng = np.random.RandomState(42)
X = rng.randn(4, 5)
X[:, 0] = 0.0 # first feature is always of zero
X_csr = sparse.csr_matrix(X)
X_csc = sparse.csc_matrix(X)
assert_raises(ValueError, StandardScaler().fit, X_csr)
null_transform = StandardScaler(with_mean=False, with_std=False, copy=True)
X_null = null_transform.fit_transform(X_csr)
assert_array_equal(X_null.data, X_csr.data)
X_orig = null_transform.inverse_transform(X_null)
assert_array_equal(X_orig.data, X_csr.data)
scaler = StandardScaler(with_mean=False).fit(X)
X_scaled = scaler.transform(X, copy=True)
assert_false(np.any(np.isnan(X_scaled)))
scaler_csr = StandardScaler(with_mean=False).fit(X_csr)
X_csr_scaled = scaler_csr.transform(X_csr, copy=True)
assert_false(np.any(np.isnan(X_csr_scaled.data)))
scaler_csc = StandardScaler(with_mean=False).fit(X_csc)
X_csc_scaled = scaler_csr.transform(X_csc, copy=True)
assert_false(np.any(np.isnan(X_csc_scaled.data)))
assert_equal(scaler.mean_, scaler_csr.mean_)
assert_array_almost_equal(scaler.std_, scaler_csr.std_)
assert_equal(scaler.mean_, scaler_csc.mean_)
assert_array_almost_equal(scaler.std_, scaler_csc.std_)
assert_array_almost_equal(
X_scaled.mean(axis=0), [0., -0.01, 2.24, -0.35, -0.78], 2)
assert_array_almost_equal(X_scaled.std(axis=0), [0., 1., 1., 1., 1.])
X_csr_scaled_mean, X_csr_scaled_std = mean_variance_axis(X_csr_scaled, 0)
assert_array_almost_equal(X_csr_scaled_mean, X_scaled.mean(axis=0))
assert_array_almost_equal(X_csr_scaled_std, X_scaled.std(axis=0))
# Check that X has not been modified (copy)
assert_true(X_scaled is not X)
assert_true(X_csr_scaled is not X_csr)
X_scaled_back = scaler.inverse_transform(X_scaled)
assert_true(X_scaled_back is not X)
assert_true(X_scaled_back is not X_scaled)
assert_array_almost_equal(X_scaled_back, X)
X_csr_scaled_back = scaler_csr.inverse_transform(X_csr_scaled)
assert_true(X_csr_scaled_back is not X_csr)
assert_true(X_csr_scaled_back is not X_csr_scaled)
assert_array_almost_equal(X_csr_scaled_back.toarray(), X)
X_csc_scaled_back = scaler_csr.inverse_transform(X_csc_scaled.tocsc())
assert_true(X_csc_scaled_back is not X_csc)
assert_true(X_csc_scaled_back is not X_csc_scaled)
assert_array_almost_equal(X_csc_scaled_back.toarray(), X)
def test_scaler_int():
# test that scaler converts integer input to floating
# for both sparse and dense matrices
rng = np.random.RandomState(42)
X = rng.randint(20, size=(4, 5))
X[:, 0] = 0 # first feature is always of zero
X_csr = sparse.csr_matrix(X)
X_csc = sparse.csc_matrix(X)
null_transform = StandardScaler(with_mean=False, with_std=False, copy=True)
clean_warning_registry()
with warnings.catch_warnings(record=True):
X_null = null_transform.fit_transform(X_csr)
assert_array_equal(X_null.data, X_csr.data)
X_orig = null_transform.inverse_transform(X_null)
assert_array_equal(X_orig.data, X_csr.data)
clean_warning_registry()
with warnings.catch_warnings(record=True):
scaler = StandardScaler(with_mean=False).fit(X)
X_scaled = scaler.transform(X, copy=True)
assert_false(np.any(np.isnan(X_scaled)))
clean_warning_registry()
with warnings.catch_warnings(record=True):
scaler_csr = StandardScaler(with_mean=False).fit(X_csr)
X_csr_scaled = scaler_csr.transform(X_csr, copy=True)
assert_false(np.any(np.isnan(X_csr_scaled.data)))
clean_warning_registry()
with warnings.catch_warnings(record=True):
scaler_csc = StandardScaler(with_mean=False).fit(X_csc)
X_csc_scaled = scaler_csr.transform(X_csc, copy=True)
assert_false(np.any(np.isnan(X_csc_scaled.data)))
assert_equal(scaler.mean_, scaler_csr.mean_)
assert_array_almost_equal(scaler.std_, scaler_csr.std_)
assert_equal(scaler.mean_, scaler_csc.mean_)
assert_array_almost_equal(scaler.std_, scaler_csc.std_)
assert_array_almost_equal(
X_scaled.mean(axis=0),
[0., 1.109, 1.856, 21., 1.559], 2)
assert_array_almost_equal(X_scaled.std(axis=0), [0., 1., 1., 1., 1.])
X_csr_scaled_mean, X_csr_scaled_std = mean_variance_axis(
X_csr_scaled.astype(np.float), 0)
assert_array_almost_equal(X_csr_scaled_mean, X_scaled.mean(axis=0))
assert_array_almost_equal(X_csr_scaled_std, X_scaled.std(axis=0))
# Check that X has not been modified (copy)
assert_true(X_scaled is not X)
assert_true(X_csr_scaled is not X_csr)
X_scaled_back = scaler.inverse_transform(X_scaled)
assert_true(X_scaled_back is not X)
assert_true(X_scaled_back is not X_scaled)
assert_array_almost_equal(X_scaled_back, X)
X_csr_scaled_back = scaler_csr.inverse_transform(X_csr_scaled)
assert_true(X_csr_scaled_back is not X_csr)
assert_true(X_csr_scaled_back is not X_csr_scaled)
assert_array_almost_equal(X_csr_scaled_back.toarray(), X)
X_csc_scaled_back = scaler_csr.inverse_transform(X_csc_scaled.tocsc())
assert_true(X_csc_scaled_back is not X_csc)
assert_true(X_csc_scaled_back is not X_csc_scaled)
assert_array_almost_equal(X_csc_scaled_back.toarray(), X)
def test_scaler_without_copy():
# Check that StandardScaler.fit does not change input
rng = np.random.RandomState(42)
X = rng.randn(4, 5)
X[:, 0] = 0.0 # first feature is always of zero
X_csr = sparse.csr_matrix(X)
X_copy = X.copy()
StandardScaler(copy=False).fit(X)
assert_array_equal(X, X_copy)
X_csr_copy = X_csr.copy()
StandardScaler(with_mean=False, copy=False).fit(X_csr)
assert_array_equal(X_csr.toarray(), X_csr_copy.toarray())
def test_scale_sparse_with_mean_raise_exception():
rng = np.random.RandomState(42)
X = rng.randn(4, 5)
X_csr = sparse.csr_matrix(X)
# check scaling and fit with direct calls on sparse data
assert_raises(ValueError, scale, X_csr, with_mean=True)
assert_raises(ValueError, StandardScaler(with_mean=True).fit, X_csr)
# check transform and inverse_transform after a fit on a dense array
scaler = StandardScaler(with_mean=True).fit(X)
assert_raises(ValueError, scaler.transform, X_csr)
X_transformed_csr = sparse.csr_matrix(scaler.transform(X))
assert_raises(ValueError, scaler.inverse_transform, X_transformed_csr)
def test_scale_input_finiteness_validation():
# Check if non finite inputs raise ValueError
X = [np.nan, 5, 6, 7, 8]
assert_raises_regex(ValueError,
"Input contains NaN, infinity or a value too large",
scale, X)
X = [np.inf, 5, 6, 7, 8]
assert_raises_regex(ValueError,
"Input contains NaN, infinity or a value too large",
scale, X)
def test_scale_function_without_centering():
rng = np.random.RandomState(42)
X = rng.randn(4, 5)
X[:, 0] = 0.0 # first feature is always of zero
X_csr = sparse.csr_matrix(X)
X_scaled = scale(X, with_mean=False)
assert_false(np.any(np.isnan(X_scaled)))
X_csr_scaled = scale(X_csr, with_mean=False)
assert_false(np.any(np.isnan(X_csr_scaled.data)))
# test csc has same outcome
X_csc_scaled = scale(X_csr.tocsc(), with_mean=False)
assert_array_almost_equal(X_scaled, X_csc_scaled.toarray())
# raises value error on axis != 0
assert_raises(ValueError, scale, X_csr, with_mean=False, axis=1)
assert_array_almost_equal(X_scaled.mean(axis=0),
[0., -0.01, 2.24, -0.35, -0.78], 2)
assert_array_almost_equal(X_scaled.std(axis=0), [0., 1., 1., 1., 1.])
# Check that X has not been copied
assert_true(X_scaled is not X)
X_csr_scaled_mean, X_csr_scaled_std = mean_variance_axis(X_csr_scaled, 0)
assert_array_almost_equal(X_csr_scaled_mean, X_scaled.mean(axis=0))
assert_array_almost_equal(X_csr_scaled_std, X_scaled.std(axis=0))
def test_robust_scaler_2d_arrays():
"""Test robust scaling of 2d array along first axis"""
rng = np.random.RandomState(0)
X = rng.randn(4, 5)
X[:, 0] = 0.0 # first feature is always of zero
scaler = RobustScaler()
X_scaled = scaler.fit(X).transform(X)
assert_array_almost_equal(np.median(X_scaled, axis=0), 5 * [0.0])
assert_array_almost_equal(X_scaled.std(axis=0)[0], 0)
def test_robust_scaler_iris():
X = iris.data
scaler = RobustScaler()
X_trans = scaler.fit_transform(X)
assert_array_almost_equal(np.median(X_trans, axis=0), 0)
X_trans_inv = scaler.inverse_transform(X_trans)
assert_array_almost_equal(X, X_trans_inv)
q = np.percentile(X_trans, q=(25, 75), axis=0)
iqr = q[1] - q[0]
assert_array_almost_equal(iqr, 1)
def test_robust_scale_axis1():
X = iris.data
X_trans = robust_scale(X, axis=1)
assert_array_almost_equal(np.median(X_trans, axis=1), 0)
q = np.percentile(X_trans, q=(25, 75), axis=1)
iqr = q[1] - q[0]
assert_array_almost_equal(iqr, 1)
def test_robust_scaler_zero_variance_features():
"""Check RobustScaler on toy data with zero variance features"""
X = [[0., 1., +0.5],
[0., 1., -0.1],
[0., 1., +1.1]]
scaler = RobustScaler()
X_trans = scaler.fit_transform(X)
# NOTE: for such a small sample size, what we expect in the third column
# depends HEAVILY on the method used to calculate quantiles. The values
# here were calculated to fit the quantiles produces by np.percentile
# using numpy 1.9 Calculating quantiles with
# scipy.stats.mstats.scoreatquantile or scipy.stats.mstats.mquantiles
# would yield very different results!
X_expected = [[0., 0., +0.0],
[0., 0., -1.0],
[0., 0., +1.0]]
assert_array_almost_equal(X_trans, X_expected)
X_trans_inv = scaler.inverse_transform(X_trans)
assert_array_almost_equal(X, X_trans_inv)
# make sure new data gets transformed correctly
X_new = [[+0., 2., 0.5],
[-1., 1., 0.0],
[+0., 1., 1.5]]
X_trans_new = scaler.transform(X_new)
X_expected_new = [[+0., 1., +0.],
[-1., 0., -0.83333],
[+0., 0., +1.66667]]
assert_array_almost_equal(X_trans_new, X_expected_new, decimal=3)
def test_maxabs_scaler_zero_variance_features():
"""Check MaxAbsScaler on toy data with zero variance features"""
X = [[0., 1., +0.5],
[0., 1., -0.3],
[0., 1., +1.5],
[0., 0., +0.0]]
scaler = MaxAbsScaler()
X_trans = scaler.fit_transform(X)
X_expected = [[0., 1., 1.0 / 3.0],
[0., 1., -0.2],
[0., 1., 1.0],
[0., 0., 0.0]]
assert_array_almost_equal(X_trans, X_expected)
X_trans_inv = scaler.inverse_transform(X_trans)
assert_array_almost_equal(X, X_trans_inv)
# make sure new data gets transformed correctly
X_new = [[+0., 2., 0.5],
[-1., 1., 0.0],
[+0., 1., 1.5]]
X_trans_new = scaler.transform(X_new)
X_expected_new = [[+0., 2.0, 1.0 / 3.0],
[-1., 1.0, 0.0],
[+0., 1.0, 1.0]]
assert_array_almost_equal(X_trans_new, X_expected_new, decimal=2)
# sparse data
X_csr = sparse.csr_matrix(X)
X_trans = scaler.fit_transform(X_csr)
X_expected = [[0., 1., 1.0 / 3.0],
[0., 1., -0.2],
[0., 1., 1.0],
[0., 0., 0.0]]
assert_array_almost_equal(X_trans.A, X_expected)
X_trans_inv = scaler.inverse_transform(X_trans)
assert_array_almost_equal(X, X_trans_inv.A)
def test_maxabs_scaler_large_negative_value():
"""Check MaxAbsScaler on toy data with a large negative value"""
X = [[0., 1., +0.5, -1.0],
[0., 1., -0.3, -0.5],
[0., 1., -100.0, 0.0],
[0., 0., +0.0, -2.0]]
scaler = MaxAbsScaler()
X_trans = scaler.fit_transform(X)
X_expected = [[0., 1., 0.005, -0.5],
[0., 1., -0.003, -0.25],
[0., 1., -1.0, 0.0],
[0., 0., 0.0, -1.0]]
assert_array_almost_equal(X_trans, X_expected)
def test_warning_scaling_integers():
# Check warning when scaling integer data
X = np.array([[1, 2, 0],
[0, 0, 0]], dtype=np.uint8)
w = "Data with input dtype uint8 was converted to float64"
clean_warning_registry()
assert_warns_message(DataConversionWarning, w, scale, X)
assert_warns_message(DataConversionWarning, w, StandardScaler().fit, X)
assert_warns_message(DataConversionWarning, w, MinMaxScaler().fit, X)
def test_normalizer_l1():
rng = np.random.RandomState(0)
X_dense = rng.randn(4, 5)
X_sparse_unpruned = sparse.csr_matrix(X_dense)
# set the row number 3 to zero
X_dense[3, :] = 0.0
# set the row number 3 to zero without pruning (can happen in real life)
indptr_3 = X_sparse_unpruned.indptr[3]
indptr_4 = X_sparse_unpruned.indptr[4]
X_sparse_unpruned.data[indptr_3:indptr_4] = 0.0
# build the pruned variant using the regular constructor
X_sparse_pruned = sparse.csr_matrix(X_dense)
# check inputs that support the no-copy optim
for X in (X_dense, X_sparse_pruned, X_sparse_unpruned):
normalizer = Normalizer(norm='l1', copy=True)
X_norm = normalizer.transform(X)
assert_true(X_norm is not X)
X_norm1 = toarray(X_norm)
normalizer = Normalizer(norm='l1', copy=False)
X_norm = normalizer.transform(X)
assert_true(X_norm is X)
X_norm2 = toarray(X_norm)
for X_norm in (X_norm1, X_norm2):
row_sums = np.abs(X_norm).sum(axis=1)
for i in range(3):
assert_almost_equal(row_sums[i], 1.0)
assert_almost_equal(row_sums[3], 0.0)
# check input for which copy=False won't prevent a copy
for init in (sparse.coo_matrix, sparse.csc_matrix, sparse.lil_matrix):
X = init(X_dense)
X_norm = normalizer = Normalizer(norm='l2', copy=False).transform(X)
assert_true(X_norm is not X)
assert_true(isinstance(X_norm, sparse.csr_matrix))
X_norm = toarray(X_norm)
for i in range(3):
assert_almost_equal(row_sums[i], 1.0)
assert_almost_equal(la.norm(X_norm[3]), 0.0)
def test_normalizer_l2():
rng = np.random.RandomState(0)
X_dense = rng.randn(4, 5)
X_sparse_unpruned = sparse.csr_matrix(X_dense)
# set the row number 3 to zero
X_dense[3, :] = 0.0
# set the row number 3 to zero without pruning (can happen in real life)
indptr_3 = X_sparse_unpruned.indptr[3]
indptr_4 = X_sparse_unpruned.indptr[4]
X_sparse_unpruned.data[indptr_3:indptr_4] = 0.0
# build the pruned variant using the regular constructor
X_sparse_pruned = sparse.csr_matrix(X_dense)
# check inputs that support the no-copy optim
for X in (X_dense, X_sparse_pruned, X_sparse_unpruned):
normalizer = Normalizer(norm='l2', copy=True)
X_norm1 = normalizer.transform(X)
assert_true(X_norm1 is not X)
X_norm1 = toarray(X_norm1)
normalizer = Normalizer(norm='l2', copy=False)
X_norm2 = normalizer.transform(X)
assert_true(X_norm2 is X)
X_norm2 = toarray(X_norm2)
for X_norm in (X_norm1, X_norm2):
for i in range(3):
assert_almost_equal(la.norm(X_norm[i]), 1.0)
assert_almost_equal(la.norm(X_norm[3]), 0.0)
# check input for which copy=False won't prevent a copy
for init in (sparse.coo_matrix, sparse.csc_matrix, sparse.lil_matrix):
X = init(X_dense)
X_norm = normalizer = Normalizer(norm='l2', copy=False).transform(X)
assert_true(X_norm is not X)
assert_true(isinstance(X_norm, sparse.csr_matrix))
X_norm = toarray(X_norm)
for i in range(3):
assert_almost_equal(la.norm(X_norm[i]), 1.0)
assert_almost_equal(la.norm(X_norm[3]), 0.0)
def test_normalizer_max():
rng = np.random.RandomState(0)
X_dense = rng.randn(4, 5)
X_sparse_unpruned = sparse.csr_matrix(X_dense)
# set the row number 3 to zero
X_dense[3, :] = 0.0
# set the row number 3 to zero without pruning (can happen in real life)
indptr_3 = X_sparse_unpruned.indptr[3]
indptr_4 = X_sparse_unpruned.indptr[4]
X_sparse_unpruned.data[indptr_3:indptr_4] = 0.0
# build the pruned variant using the regular constructor
X_sparse_pruned = sparse.csr_matrix(X_dense)
# check inputs that support the no-copy optim
for X in (X_dense, X_sparse_pruned, X_sparse_unpruned):
normalizer = Normalizer(norm='max', copy=True)
X_norm1 = normalizer.transform(X)
assert_true(X_norm1 is not X)
X_norm1 = toarray(X_norm1)
normalizer = Normalizer(norm='max', copy=False)
X_norm2 = normalizer.transform(X)
assert_true(X_norm2 is X)
X_norm2 = toarray(X_norm2)
for X_norm in (X_norm1, X_norm2):
row_maxs = X_norm.max(axis=1)
for i in range(3):
assert_almost_equal(row_maxs[i], 1.0)
assert_almost_equal(row_maxs[3], 0.0)
# check input for which copy=False won't prevent a copy
for init in (sparse.coo_matrix, sparse.csc_matrix, sparse.lil_matrix):
X = init(X_dense)
X_norm = normalizer = Normalizer(norm='l2', copy=False).transform(X)
assert_true(X_norm is not X)
assert_true(isinstance(X_norm, sparse.csr_matrix))
X_norm = toarray(X_norm)
for i in range(3):
assert_almost_equal(row_maxs[i], 1.0)
assert_almost_equal(la.norm(X_norm[3]), 0.0)
def test_normalize():
# Test normalize function
# Only tests functionality not used by the tests for Normalizer.
X = np.random.RandomState(37).randn(3, 2)
assert_array_equal(normalize(X, copy=False),
normalize(X.T, axis=0, copy=False).T)
assert_raises(ValueError, normalize, [[0]], axis=2)
assert_raises(ValueError, normalize, [[0]], norm='l3')
def test_binarizer():
X_ = np.array([[1, 0, 5], [2, 3, -1]])
for init in (np.array, list, sparse.csr_matrix, sparse.csc_matrix):
X = init(X_.copy())
binarizer = Binarizer(threshold=2.0, copy=True)
X_bin = toarray(binarizer.transform(X))
assert_equal(np.sum(X_bin == 0), 4)
assert_equal(np.sum(X_bin == 1), 2)
X_bin = binarizer.transform(X)
assert_equal(sparse.issparse(X), sparse.issparse(X_bin))
binarizer = Binarizer(copy=True).fit(X)
X_bin = toarray(binarizer.transform(X))
assert_true(X_bin is not X)
assert_equal(np.sum(X_bin == 0), 2)
assert_equal(np.sum(X_bin == 1), 4)
binarizer = Binarizer(copy=True)
X_bin = binarizer.transform(X)
assert_true(X_bin is not X)
X_bin = toarray(X_bin)
assert_equal(np.sum(X_bin == 0), 2)
assert_equal(np.sum(X_bin == 1), 4)
binarizer = Binarizer(copy=False)
X_bin = binarizer.transform(X)
if init is not list:
assert_true(X_bin is X)
X_bin = toarray(X_bin)
assert_equal(np.sum(X_bin == 0), 2)
assert_equal(np.sum(X_bin == 1), 4)
binarizer = Binarizer(threshold=-0.5, copy=True)
for init in (np.array, list):
X = init(X_.copy())
X_bin = toarray(binarizer.transform(X))
assert_equal(np.sum(X_bin == 0), 1)
assert_equal(np.sum(X_bin == 1), 5)
X_bin = binarizer.transform(X)
# Cannot use threshold < 0 for sparse
assert_raises(ValueError, binarizer.transform, sparse.csc_matrix(X))
def test_center_kernel():
# Test that KernelCenterer is equivalent to StandardScaler
# in feature space
rng = np.random.RandomState(0)
X_fit = rng.random_sample((5, 4))
scaler = StandardScaler(with_std=False)
scaler.fit(X_fit)
X_fit_centered = scaler.transform(X_fit)
K_fit = np.dot(X_fit, X_fit.T)
# center fit time matrix
centerer = KernelCenterer()
K_fit_centered = np.dot(X_fit_centered, X_fit_centered.T)
K_fit_centered2 = centerer.fit_transform(K_fit)
assert_array_almost_equal(K_fit_centered, K_fit_centered2)
# center predict time matrix
X_pred = rng.random_sample((2, 4))
K_pred = np.dot(X_pred, X_fit.T)
X_pred_centered = scaler.transform(X_pred)
K_pred_centered = np.dot(X_pred_centered, X_fit_centered.T)
K_pred_centered2 = centerer.transform(K_pred)
assert_array_almost_equal(K_pred_centered, K_pred_centered2)
def test_fit_transform():
rng = np.random.RandomState(0)
X = rng.random_sample((5, 4))
for obj in ((StandardScaler(), Normalizer(), Binarizer())):
X_transformed = obj.fit(X).transform(X)
X_transformed2 = obj.fit_transform(X)
assert_array_equal(X_transformed, X_transformed2)
def test_add_dummy_feature():
X = [[1, 0], [0, 1], [0, 1]]
X = add_dummy_feature(X)
assert_array_equal(X, [[1, 1, 0], [1, 0, 1], [1, 0, 1]])
def test_add_dummy_feature_coo():
X = sparse.coo_matrix([[1, 0], [0, 1], [0, 1]])
X = add_dummy_feature(X)
assert_true(sparse.isspmatrix_coo(X), X)
assert_array_equal(X.toarray(), [[1, 1, 0], [1, 0, 1], [1, 0, 1]])
def test_add_dummy_feature_csc():
X = sparse.csc_matrix([[1, 0], [0, 1], [0, 1]])
X = add_dummy_feature(X)
assert_true(sparse.isspmatrix_csc(X), X)
assert_array_equal(X.toarray(), [[1, 1, 0], [1, 0, 1], [1, 0, 1]])
def test_add_dummy_feature_csr():
X = sparse.csr_matrix([[1, 0], [0, 1], [0, 1]])
X = add_dummy_feature(X)
assert_true(sparse.isspmatrix_csr(X), X)
assert_array_equal(X.toarray(), [[1, 1, 0], [1, 0, 1], [1, 0, 1]])
def test_one_hot_encoder_sparse():
# Test OneHotEncoder's fit and transform.
X = [[3, 2, 1], [0, 1, 1]]
enc = OneHotEncoder()
# discover max values automatically
X_trans = enc.fit_transform(X).toarray()
assert_equal(X_trans.shape, (2, 5))
assert_array_equal(enc.active_features_,
np.where([1, 0, 0, 1, 0, 1, 1, 0, 1])[0])
assert_array_equal(enc.feature_indices_, [0, 4, 7, 9])
# check outcome
assert_array_equal(X_trans,
[[0., 1., 0., 1., 1.],
[1., 0., 1., 0., 1.]])
# max value given as 3
enc = OneHotEncoder(n_values=4)
X_trans = enc.fit_transform(X)
assert_equal(X_trans.shape, (2, 4 * 3))
assert_array_equal(enc.feature_indices_, [0, 4, 8, 12])
# max value given per feature
enc = OneHotEncoder(n_values=[3, 2, 2])
X = [[1, 0, 1], [0, 1, 1]]
X_trans = enc.fit_transform(X)
assert_equal(X_trans.shape, (2, 3 + 2 + 2))
assert_array_equal(enc.n_values_, [3, 2, 2])
# check that testing with larger feature works:
X = np.array([[2, 0, 1], [0, 1, 1]])
enc.transform(X)
# test that an error is raised when out of bounds:
X_too_large = [[0, 2, 1], [0, 1, 1]]
assert_raises(ValueError, enc.transform, X_too_large)
assert_raises(ValueError, OneHotEncoder(n_values=2).fit_transform, X)
# test that error is raised when wrong number of features
assert_raises(ValueError, enc.transform, X[:, :-1])
# test that error is raised when wrong number of features in fit
# with prespecified n_values
assert_raises(ValueError, enc.fit, X[:, :-1])
# test exception on wrong init param
assert_raises(TypeError, OneHotEncoder(n_values=np.int).fit, X)
enc = OneHotEncoder()
# test negative input to fit
assert_raises(ValueError, enc.fit, [[0], [-1]])
# test negative input to transform
enc.fit([[0], [1]])
assert_raises(ValueError, enc.transform, [[0], [-1]])
def test_one_hot_encoder_dense():
# check for sparse=False
X = [[3, 2, 1], [0, 1, 1]]
enc = OneHotEncoder(sparse=False)
# discover max values automatically
X_trans = enc.fit_transform(X)
assert_equal(X_trans.shape, (2, 5))
assert_array_equal(enc.active_features_,
np.where([1, 0, 0, 1, 0, 1, 1, 0, 1])[0])
assert_array_equal(enc.feature_indices_, [0, 4, 7, 9])
# check outcome
assert_array_equal(X_trans,
np.array([[0., 1., 0., 1., 1.],
[1., 0., 1., 0., 1.]]))
def _check_transform_selected(X, X_expected, sel):
for M in (X, sparse.csr_matrix(X)):
Xtr = _transform_selected(M, Binarizer().transform, sel)
assert_array_equal(toarray(Xtr), X_expected)
def test_transform_selected():
X = [[3, 2, 1], [0, 1, 1]]
X_expected = [[1, 2, 1], [0, 1, 1]]
_check_transform_selected(X, X_expected, [0])
_check_transform_selected(X, X_expected, [True, False, False])
X_expected = [[1, 1, 1], [0, 1, 1]]
_check_transform_selected(X, X_expected, [0, 1, 2])
_check_transform_selected(X, X_expected, [True, True, True])
_check_transform_selected(X, X_expected, "all")
_check_transform_selected(X, X, [])
_check_transform_selected(X, X, [False, False, False])
def _run_one_hot(X, X2, cat):
enc = OneHotEncoder(categorical_features=cat)
Xtr = enc.fit_transform(X)
X2tr = enc.transform(X2)
return Xtr, X2tr
def _check_one_hot(X, X2, cat, n_features):
ind = np.where(cat)[0]
# With mask
A, B = _run_one_hot(X, X2, cat)
# With indices
C, D = _run_one_hot(X, X2, ind)
# Check shape
assert_equal(A.shape, (2, n_features))
assert_equal(B.shape, (1, n_features))
assert_equal(C.shape, (2, n_features))
assert_equal(D.shape, (1, n_features))
# Check that mask and indices give the same results
assert_array_equal(toarray(A), toarray(C))
assert_array_equal(toarray(B), toarray(D))
def test_one_hot_encoder_categorical_features():
X = np.array([[3, 2, 1], [0, 1, 1]])
X2 = np.array([[1, 1, 1]])
cat = [True, False, False]
_check_one_hot(X, X2, cat, 4)
# Edge case: all non-categorical
cat = [False, False, False]
_check_one_hot(X, X2, cat, 3)
# Edge case: all categorical
cat = [True, True, True]
_check_one_hot(X, X2, cat, 5)
def test_one_hot_encoder_unknown_transform():
X = np.array([[0, 2, 1], [1, 0, 3], [1, 0, 2]])
y = np.array([[4, 1, 1]])
# Test that one hot encoder raises error for unknown features
# present during transform.
oh = OneHotEncoder(handle_unknown='error')
oh.fit(X)
assert_raises(ValueError, oh.transform, y)
# Test the ignore option, ignores unknown features.
oh = OneHotEncoder(handle_unknown='ignore')
oh.fit(X)
assert_array_equal(
oh.transform(y).toarray(),
np.array([[0., 0., 0., 0., 1., 0., 0.]])
)
# Raise error if handle_unknown is neither ignore or error.
oh = OneHotEncoder(handle_unknown='42')
oh.fit(X)
assert_raises(ValueError, oh.transform, y)
| bsd-3-clause |
AnasGhrab/scikit-learn | sklearn/metrics/tests/test_ranking.py | 127 | 40813 | from __future__ import division, print_function
import numpy as np
from itertools import product
import warnings
from scipy.sparse import csr_matrix
from sklearn import datasets
from sklearn import svm
from sklearn import ensemble
from sklearn.datasets import make_multilabel_classification
from sklearn.random_projection import sparse_random_matrix
from sklearn.utils.validation import check_array, check_consistent_length
from sklearn.utils.validation import check_random_state
from sklearn.utils.testing import assert_raises, clean_warning_registry
from sklearn.utils.testing import assert_raise_message
from sklearn.utils.testing import assert_equal
from sklearn.utils.testing import assert_almost_equal
from sklearn.utils.testing import assert_array_equal
from sklearn.utils.testing import assert_array_almost_equal
from sklearn.utils.testing import assert_warns
from sklearn.metrics import auc
from sklearn.metrics import average_precision_score
from sklearn.metrics import coverage_error
from sklearn.metrics import label_ranking_average_precision_score
from sklearn.metrics import precision_recall_curve
from sklearn.metrics import label_ranking_loss
from sklearn.metrics import roc_auc_score
from sklearn.metrics import roc_curve
from sklearn.metrics.base import UndefinedMetricWarning
###############################################################################
# Utilities for testing
def make_prediction(dataset=None, binary=False):
"""Make some classification predictions on a toy dataset using a SVC
If binary is True restrict to a binary classification problem instead of a
multiclass classification problem
"""
if dataset is None:
# import some data to play with
dataset = datasets.load_iris()
X = dataset.data
y = dataset.target
if binary:
# restrict to a binary classification task
X, y = X[y < 2], y[y < 2]
n_samples, n_features = X.shape
p = np.arange(n_samples)
rng = check_random_state(37)
rng.shuffle(p)
X, y = X[p], y[p]
half = int(n_samples / 2)
# add noisy features to make the problem harder and avoid perfect results
rng = np.random.RandomState(0)
X = np.c_[X, rng.randn(n_samples, 200 * n_features)]
# run classifier, get class probabilities and label predictions
clf = svm.SVC(kernel='linear', probability=True, random_state=0)
probas_pred = clf.fit(X[:half], y[:half]).predict_proba(X[half:])
if binary:
# only interested in probabilities of the positive case
# XXX: do we really want a special API for the binary case?
probas_pred = probas_pred[:, 1]
y_pred = clf.predict(X[half:])
y_true = y[half:]
return y_true, y_pred, probas_pred
###############################################################################
# Tests
def _auc(y_true, y_score):
"""Alternative implementation to check for correctness of
`roc_auc_score`."""
pos_label = np.unique(y_true)[1]
# Count the number of times positive samples are correctly ranked above
# negative samples.
pos = y_score[y_true == pos_label]
neg = y_score[y_true != pos_label]
diff_matrix = pos.reshape(1, -1) - neg.reshape(-1, 1)
n_correct = np.sum(diff_matrix > 0)
return n_correct / float(len(pos) * len(neg))
def _average_precision(y_true, y_score):
"""Alternative implementation to check for correctness of
`average_precision_score`."""
pos_label = np.unique(y_true)[1]
n_pos = np.sum(y_true == pos_label)
order = np.argsort(y_score)[::-1]
y_score = y_score[order]
y_true = y_true[order]
score = 0
for i in range(len(y_score)):
if y_true[i] == pos_label:
# Compute precision up to document i
# i.e, percentage of relevant documents up to document i.
prec = 0
for j in range(0, i + 1):
if y_true[j] == pos_label:
prec += 1.0
prec /= (i + 1.0)
score += prec
return score / n_pos
def test_roc_curve():
# Test Area under Receiver Operating Characteristic (ROC) curve
y_true, _, probas_pred = make_prediction(binary=True)
fpr, tpr, thresholds = roc_curve(y_true, probas_pred)
roc_auc = auc(fpr, tpr)
expected_auc = _auc(y_true, probas_pred)
assert_array_almost_equal(roc_auc, expected_auc, decimal=2)
assert_almost_equal(roc_auc, roc_auc_score(y_true, probas_pred))
assert_equal(fpr.shape, tpr.shape)
assert_equal(fpr.shape, thresholds.shape)
def test_roc_curve_end_points():
# Make sure that roc_curve returns a curve start at 0 and ending and
# 1 even in corner cases
rng = np.random.RandomState(0)
y_true = np.array([0] * 50 + [1] * 50)
y_pred = rng.randint(3, size=100)
fpr, tpr, thr = roc_curve(y_true, y_pred)
assert_equal(fpr[0], 0)
assert_equal(fpr[-1], 1)
assert_equal(fpr.shape, tpr.shape)
assert_equal(fpr.shape, thr.shape)
def test_roc_returns_consistency():
# Test whether the returned threshold matches up with tpr
# make small toy dataset
y_true, _, probas_pred = make_prediction(binary=True)
fpr, tpr, thresholds = roc_curve(y_true, probas_pred)
# use the given thresholds to determine the tpr
tpr_correct = []
for t in thresholds:
tp = np.sum((probas_pred >= t) & y_true)
p = np.sum(y_true)
tpr_correct.append(1.0 * tp / p)
# compare tpr and tpr_correct to see if the thresholds' order was correct
assert_array_almost_equal(tpr, tpr_correct, decimal=2)
assert_equal(fpr.shape, tpr.shape)
assert_equal(fpr.shape, thresholds.shape)
def test_roc_nonrepeating_thresholds():
# Test to ensure that we don't return spurious repeating thresholds.
# Duplicated thresholds can arise due to machine precision issues.
dataset = datasets.load_digits()
X = dataset['data']
y = dataset['target']
# This random forest classifier can only return probabilities
# significant to two decimal places
clf = ensemble.RandomForestClassifier(n_estimators=100, random_state=0)
# How well can the classifier predict whether a digit is less than 5?
# This task contributes floating point roundoff errors to the probabilities
train, test = slice(None, None, 2), slice(1, None, 2)
probas_pred = clf.fit(X[train], y[train]).predict_proba(X[test])
y_score = probas_pred[:, :5].sum(axis=1) # roundoff errors begin here
y_true = [yy < 5 for yy in y[test]]
# Check for repeating values in the thresholds
fpr, tpr, thresholds = roc_curve(y_true, y_score)
assert_equal(thresholds.size, np.unique(np.round(thresholds, 2)).size)
def test_roc_curve_multi():
# roc_curve not applicable for multi-class problems
y_true, _, probas_pred = make_prediction(binary=False)
assert_raises(ValueError, roc_curve, y_true, probas_pred)
def test_roc_curve_confidence():
# roc_curve for confidence scores
y_true, _, probas_pred = make_prediction(binary=True)
fpr, tpr, thresholds = roc_curve(y_true, probas_pred - 0.5)
roc_auc = auc(fpr, tpr)
assert_array_almost_equal(roc_auc, 0.90, decimal=2)
assert_equal(fpr.shape, tpr.shape)
assert_equal(fpr.shape, thresholds.shape)
def test_roc_curve_hard():
# roc_curve for hard decisions
y_true, pred, probas_pred = make_prediction(binary=True)
# always predict one
trivial_pred = np.ones(y_true.shape)
fpr, tpr, thresholds = roc_curve(y_true, trivial_pred)
roc_auc = auc(fpr, tpr)
assert_array_almost_equal(roc_auc, 0.50, decimal=2)
assert_equal(fpr.shape, tpr.shape)
assert_equal(fpr.shape, thresholds.shape)
# always predict zero
trivial_pred = np.zeros(y_true.shape)
fpr, tpr, thresholds = roc_curve(y_true, trivial_pred)
roc_auc = auc(fpr, tpr)
assert_array_almost_equal(roc_auc, 0.50, decimal=2)
assert_equal(fpr.shape, tpr.shape)
assert_equal(fpr.shape, thresholds.shape)
# hard decisions
fpr, tpr, thresholds = roc_curve(y_true, pred)
roc_auc = auc(fpr, tpr)
assert_array_almost_equal(roc_auc, 0.78, decimal=2)
assert_equal(fpr.shape, tpr.shape)
assert_equal(fpr.shape, thresholds.shape)
def test_roc_curve_one_label():
y_true = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
y_pred = [0, 1, 0, 1, 0, 1, 0, 1, 0, 1]
# assert there are warnings
w = UndefinedMetricWarning
fpr, tpr, thresholds = assert_warns(w, roc_curve, y_true, y_pred)
# all true labels, all fpr should be nan
assert_array_equal(fpr,
np.nan * np.ones(len(thresholds)))
assert_equal(fpr.shape, tpr.shape)
assert_equal(fpr.shape, thresholds.shape)
# assert there are warnings
fpr, tpr, thresholds = assert_warns(w, roc_curve,
[1 - x for x in y_true],
y_pred)
# all negative labels, all tpr should be nan
assert_array_equal(tpr,
np.nan * np.ones(len(thresholds)))
assert_equal(fpr.shape, tpr.shape)
assert_equal(fpr.shape, thresholds.shape)
def test_roc_curve_toydata():
# Binary classification
y_true = [0, 1]
y_score = [0, 1]
tpr, fpr, _ = roc_curve(y_true, y_score)
roc_auc = roc_auc_score(y_true, y_score)
assert_array_almost_equal(tpr, [0, 1])
assert_array_almost_equal(fpr, [1, 1])
assert_almost_equal(roc_auc, 1.)
y_true = [0, 1]
y_score = [1, 0]
tpr, fpr, _ = roc_curve(y_true, y_score)
roc_auc = roc_auc_score(y_true, y_score)
assert_array_almost_equal(tpr, [0, 1, 1])
assert_array_almost_equal(fpr, [0, 0, 1])
assert_almost_equal(roc_auc, 0.)
y_true = [1, 0]
y_score = [1, 1]
tpr, fpr, _ = roc_curve(y_true, y_score)
roc_auc = roc_auc_score(y_true, y_score)
assert_array_almost_equal(tpr, [0, 1])
assert_array_almost_equal(fpr, [0, 1])
assert_almost_equal(roc_auc, 0.5)
y_true = [1, 0]
y_score = [1, 0]
tpr, fpr, _ = roc_curve(y_true, y_score)
roc_auc = roc_auc_score(y_true, y_score)
assert_array_almost_equal(tpr, [0, 1])
assert_array_almost_equal(fpr, [1, 1])
assert_almost_equal(roc_auc, 1.)
y_true = [1, 0]
y_score = [0.5, 0.5]
tpr, fpr, _ = roc_curve(y_true, y_score)
roc_auc = roc_auc_score(y_true, y_score)
assert_array_almost_equal(tpr, [0, 1])
assert_array_almost_equal(fpr, [0, 1])
assert_almost_equal(roc_auc, .5)
y_true = [0, 0]
y_score = [0.25, 0.75]
tpr, fpr, _ = roc_curve(y_true, y_score)
assert_raises(ValueError, roc_auc_score, y_true, y_score)
assert_array_almost_equal(tpr, [0., 0.5, 1.])
assert_array_almost_equal(fpr, [np.nan, np.nan, np.nan])
y_true = [1, 1]
y_score = [0.25, 0.75]
tpr, fpr, _ = roc_curve(y_true, y_score)
assert_raises(ValueError, roc_auc_score, y_true, y_score)
assert_array_almost_equal(tpr, [np.nan, np.nan])
assert_array_almost_equal(fpr, [0.5, 1.])
# Multi-label classification task
y_true = np.array([[0, 1], [0, 1]])
y_score = np.array([[0, 1], [0, 1]])
assert_raises(ValueError, roc_auc_score, y_true, y_score, average="macro")
assert_raises(ValueError, roc_auc_score, y_true, y_score,
average="weighted")
assert_almost_equal(roc_auc_score(y_true, y_score, average="samples"), 1.)
assert_almost_equal(roc_auc_score(y_true, y_score, average="micro"), 1.)
y_true = np.array([[0, 1], [0, 1]])
y_score = np.array([[0, 1], [1, 0]])
assert_raises(ValueError, roc_auc_score, y_true, y_score, average="macro")
assert_raises(ValueError, roc_auc_score, y_true, y_score,
average="weighted")
assert_almost_equal(roc_auc_score(y_true, y_score, average="samples"), 0.5)
assert_almost_equal(roc_auc_score(y_true, y_score, average="micro"), 0.5)
y_true = np.array([[1, 0], [0, 1]])
y_score = np.array([[0, 1], [1, 0]])
assert_almost_equal(roc_auc_score(y_true, y_score, average="macro"), 0)
assert_almost_equal(roc_auc_score(y_true, y_score, average="weighted"), 0)
assert_almost_equal(roc_auc_score(y_true, y_score, average="samples"), 0)
assert_almost_equal(roc_auc_score(y_true, y_score, average="micro"), 0)
y_true = np.array([[1, 0], [0, 1]])
y_score = np.array([[0.5, 0.5], [0.5, 0.5]])
assert_almost_equal(roc_auc_score(y_true, y_score, average="macro"), .5)
assert_almost_equal(roc_auc_score(y_true, y_score, average="weighted"), .5)
assert_almost_equal(roc_auc_score(y_true, y_score, average="samples"), .5)
assert_almost_equal(roc_auc_score(y_true, y_score, average="micro"), .5)
def test_auc():
# Test Area Under Curve (AUC) computation
x = [0, 1]
y = [0, 1]
assert_array_almost_equal(auc(x, y), 0.5)
x = [1, 0]
y = [0, 1]
assert_array_almost_equal(auc(x, y), 0.5)
x = [1, 0, 0]
y = [0, 1, 1]
assert_array_almost_equal(auc(x, y), 0.5)
x = [0, 1]
y = [1, 1]
assert_array_almost_equal(auc(x, y), 1)
x = [0, 0.5, 1]
y = [0, 0.5, 1]
assert_array_almost_equal(auc(x, y), 0.5)
def test_auc_duplicate_values():
# Test Area Under Curve (AUC) computation with duplicate values
# auc() was previously sorting the x and y arrays according to the indices
# from numpy.argsort(x), which was reordering the tied 0's in this example
# and resulting in an incorrect area computation. This test detects the
# error.
x = [-2.0, 0.0, 0.0, 0.0, 1.0]
y1 = [2.0, 0.0, 0.5, 1.0, 1.0]
y2 = [2.0, 1.0, 0.0, 0.5, 1.0]
y3 = [2.0, 1.0, 0.5, 0.0, 1.0]
for y in (y1, y2, y3):
assert_array_almost_equal(auc(x, y, reorder=True), 3.0)
def test_auc_errors():
# Incompatible shapes
assert_raises(ValueError, auc, [0.0, 0.5, 1.0], [0.1, 0.2])
# Too few x values
assert_raises(ValueError, auc, [0.0], [0.1])
# x is not in order
assert_raises(ValueError, auc, [1.0, 0.0, 0.5], [0.0, 0.0, 0.0])
def test_auc_score_non_binary_class():
# Test that roc_auc_score function returns an error when trying
# to compute AUC for non-binary class values.
rng = check_random_state(404)
y_pred = rng.rand(10)
# y_true contains only one class value
y_true = np.zeros(10, dtype="int")
assert_raise_message(ValueError, "ROC AUC score is not defined",
roc_auc_score, y_true, y_pred)
y_true = np.ones(10, dtype="int")
assert_raise_message(ValueError, "ROC AUC score is not defined",
roc_auc_score, y_true, y_pred)
y_true = -np.ones(10, dtype="int")
assert_raise_message(ValueError, "ROC AUC score is not defined",
roc_auc_score, y_true, y_pred)
# y_true contains three different class values
y_true = rng.randint(0, 3, size=10)
assert_raise_message(ValueError, "multiclass format is not supported",
roc_auc_score, y_true, y_pred)
clean_warning_registry()
with warnings.catch_warnings(record=True):
rng = check_random_state(404)
y_pred = rng.rand(10)
# y_true contains only one class value
y_true = np.zeros(10, dtype="int")
assert_raise_message(ValueError, "ROC AUC score is not defined",
roc_auc_score, y_true, y_pred)
y_true = np.ones(10, dtype="int")
assert_raise_message(ValueError, "ROC AUC score is not defined",
roc_auc_score, y_true, y_pred)
y_true = -np.ones(10, dtype="int")
assert_raise_message(ValueError, "ROC AUC score is not defined",
roc_auc_score, y_true, y_pred)
# y_true contains three different class values
y_true = rng.randint(0, 3, size=10)
assert_raise_message(ValueError, "multiclass format is not supported",
roc_auc_score, y_true, y_pred)
def test_precision_recall_curve():
y_true, _, probas_pred = make_prediction(binary=True)
_test_precision_recall_curve(y_true, probas_pred)
# Use {-1, 1} for labels; make sure original labels aren't modified
y_true[np.where(y_true == 0)] = -1
y_true_copy = y_true.copy()
_test_precision_recall_curve(y_true, probas_pred)
assert_array_equal(y_true_copy, y_true)
labels = [1, 0, 0, 1]
predict_probas = [1, 2, 3, 4]
p, r, t = precision_recall_curve(labels, predict_probas)
assert_array_almost_equal(p, np.array([0.5, 0.33333333, 0.5, 1., 1.]))
assert_array_almost_equal(r, np.array([1., 0.5, 0.5, 0.5, 0.]))
assert_array_almost_equal(t, np.array([1, 2, 3, 4]))
assert_equal(p.size, r.size)
assert_equal(p.size, t.size + 1)
def test_precision_recall_curve_pos_label():
y_true, _, probas_pred = make_prediction(binary=False)
pos_label = 2
p, r, thresholds = precision_recall_curve(y_true,
probas_pred[:, pos_label],
pos_label=pos_label)
p2, r2, thresholds2 = precision_recall_curve(y_true == pos_label,
probas_pred[:, pos_label])
assert_array_almost_equal(p, p2)
assert_array_almost_equal(r, r2)
assert_array_almost_equal(thresholds, thresholds2)
assert_equal(p.size, r.size)
assert_equal(p.size, thresholds.size + 1)
def _test_precision_recall_curve(y_true, probas_pred):
# Test Precision-Recall and aread under PR curve
p, r, thresholds = precision_recall_curve(y_true, probas_pred)
precision_recall_auc = auc(r, p)
assert_array_almost_equal(precision_recall_auc, 0.85, 2)
assert_array_almost_equal(precision_recall_auc,
average_precision_score(y_true, probas_pred))
assert_almost_equal(_average_precision(y_true, probas_pred),
precision_recall_auc, 1)
assert_equal(p.size, r.size)
assert_equal(p.size, thresholds.size + 1)
# Smoke test in the case of proba having only one value
p, r, thresholds = precision_recall_curve(y_true,
np.zeros_like(probas_pred))
precision_recall_auc = auc(r, p)
assert_array_almost_equal(precision_recall_auc, 0.75, 3)
assert_equal(p.size, r.size)
assert_equal(p.size, thresholds.size + 1)
def test_precision_recall_curve_errors():
# Contains non-binary labels
assert_raises(ValueError, precision_recall_curve,
[0, 1, 2], [[0.0], [1.0], [1.0]])
def test_precision_recall_curve_toydata():
with np.errstate(all="raise"):
# Binary classification
y_true = [0, 1]
y_score = [0, 1]
p, r, _ = precision_recall_curve(y_true, y_score)
auc_prc = average_precision_score(y_true, y_score)
assert_array_almost_equal(p, [1, 1])
assert_array_almost_equal(r, [1, 0])
assert_almost_equal(auc_prc, 1.)
y_true = [0, 1]
y_score = [1, 0]
p, r, _ = precision_recall_curve(y_true, y_score)
auc_prc = average_precision_score(y_true, y_score)
assert_array_almost_equal(p, [0.5, 0., 1.])
assert_array_almost_equal(r, [1., 0., 0.])
assert_almost_equal(auc_prc, 0.25)
y_true = [1, 0]
y_score = [1, 1]
p, r, _ = precision_recall_curve(y_true, y_score)
auc_prc = average_precision_score(y_true, y_score)
assert_array_almost_equal(p, [0.5, 1])
assert_array_almost_equal(r, [1., 0])
assert_almost_equal(auc_prc, .75)
y_true = [1, 0]
y_score = [1, 0]
p, r, _ = precision_recall_curve(y_true, y_score)
auc_prc = average_precision_score(y_true, y_score)
assert_array_almost_equal(p, [1, 1])
assert_array_almost_equal(r, [1, 0])
assert_almost_equal(auc_prc, 1.)
y_true = [1, 0]
y_score = [0.5, 0.5]
p, r, _ = precision_recall_curve(y_true, y_score)
auc_prc = average_precision_score(y_true, y_score)
assert_array_almost_equal(p, [0.5, 1])
assert_array_almost_equal(r, [1, 0.])
assert_almost_equal(auc_prc, .75)
y_true = [0, 0]
y_score = [0.25, 0.75]
assert_raises(Exception, precision_recall_curve, y_true, y_score)
assert_raises(Exception, average_precision_score, y_true, y_score)
y_true = [1, 1]
y_score = [0.25, 0.75]
p, r, _ = precision_recall_curve(y_true, y_score)
assert_almost_equal(average_precision_score(y_true, y_score), 1.)
assert_array_almost_equal(p, [1., 1., 1.])
assert_array_almost_equal(r, [1, 0.5, 0.])
# Multi-label classification task
y_true = np.array([[0, 1], [0, 1]])
y_score = np.array([[0, 1], [0, 1]])
assert_raises(Exception, average_precision_score, y_true, y_score,
average="macro")
assert_raises(Exception, average_precision_score, y_true, y_score,
average="weighted")
assert_almost_equal(average_precision_score(y_true, y_score,
average="samples"), 1.)
assert_almost_equal(average_precision_score(y_true, y_score,
average="micro"), 1.)
y_true = np.array([[0, 1], [0, 1]])
y_score = np.array([[0, 1], [1, 0]])
assert_raises(Exception, average_precision_score, y_true, y_score,
average="macro")
assert_raises(Exception, average_precision_score, y_true, y_score,
average="weighted")
assert_almost_equal(average_precision_score(y_true, y_score,
average="samples"), 0.625)
assert_almost_equal(average_precision_score(y_true, y_score,
average="micro"), 0.625)
y_true = np.array([[1, 0], [0, 1]])
y_score = np.array([[0, 1], [1, 0]])
assert_almost_equal(average_precision_score(y_true, y_score,
average="macro"), 0.25)
assert_almost_equal(average_precision_score(y_true, y_score,
average="weighted"), 0.25)
assert_almost_equal(average_precision_score(y_true, y_score,
average="samples"), 0.25)
assert_almost_equal(average_precision_score(y_true, y_score,
average="micro"), 0.25)
y_true = np.array([[1, 0], [0, 1]])
y_score = np.array([[0.5, 0.5], [0.5, 0.5]])
assert_almost_equal(average_precision_score(y_true, y_score,
average="macro"), 0.75)
assert_almost_equal(average_precision_score(y_true, y_score,
average="weighted"), 0.75)
assert_almost_equal(average_precision_score(y_true, y_score,
average="samples"), 0.75)
assert_almost_equal(average_precision_score(y_true, y_score,
average="micro"), 0.75)
def test_score_scale_invariance():
# Test that average_precision_score and roc_auc_score are invariant by
# the scaling or shifting of probabilities
y_true, _, probas_pred = make_prediction(binary=True)
roc_auc = roc_auc_score(y_true, probas_pred)
roc_auc_scaled = roc_auc_score(y_true, 100 * probas_pred)
roc_auc_shifted = roc_auc_score(y_true, probas_pred - 10)
assert_equal(roc_auc, roc_auc_scaled)
assert_equal(roc_auc, roc_auc_shifted)
pr_auc = average_precision_score(y_true, probas_pred)
pr_auc_scaled = average_precision_score(y_true, 100 * probas_pred)
pr_auc_shifted = average_precision_score(y_true, probas_pred - 10)
assert_equal(pr_auc, pr_auc_scaled)
assert_equal(pr_auc, pr_auc_shifted)
def check_lrap_toy(lrap_score):
# Check on several small example that it works
assert_almost_equal(lrap_score([[0, 1]], [[0.25, 0.75]]), 1)
assert_almost_equal(lrap_score([[0, 1]], [[0.75, 0.25]]), 1 / 2)
assert_almost_equal(lrap_score([[1, 1]], [[0.75, 0.25]]), 1)
assert_almost_equal(lrap_score([[0, 0, 1]], [[0.25, 0.5, 0.75]]), 1)
assert_almost_equal(lrap_score([[0, 1, 0]], [[0.25, 0.5, 0.75]]), 1 / 2)
assert_almost_equal(lrap_score([[0, 1, 1]], [[0.25, 0.5, 0.75]]), 1)
assert_almost_equal(lrap_score([[1, 0, 0]], [[0.25, 0.5, 0.75]]), 1 / 3)
assert_almost_equal(lrap_score([[1, 0, 1]], [[0.25, 0.5, 0.75]]),
(2 / 3 + 1 / 1) / 2)
assert_almost_equal(lrap_score([[1, 1, 0]], [[0.25, 0.5, 0.75]]),
(2 / 3 + 1 / 2) / 2)
assert_almost_equal(lrap_score([[0, 0, 1]], [[0.75, 0.5, 0.25]]), 1 / 3)
assert_almost_equal(lrap_score([[0, 1, 0]], [[0.75, 0.5, 0.25]]), 1 / 2)
assert_almost_equal(lrap_score([[0, 1, 1]], [[0.75, 0.5, 0.25]]),
(1 / 2 + 2 / 3) / 2)
assert_almost_equal(lrap_score([[1, 0, 0]], [[0.75, 0.5, 0.25]]), 1)
assert_almost_equal(lrap_score([[1, 0, 1]], [[0.75, 0.5, 0.25]]),
(1 + 2 / 3) / 2)
assert_almost_equal(lrap_score([[1, 1, 0]], [[0.75, 0.5, 0.25]]), 1)
assert_almost_equal(lrap_score([[1, 1, 1]], [[0.75, 0.5, 0.25]]), 1)
assert_almost_equal(lrap_score([[0, 0, 1]], [[0.5, 0.75, 0.25]]), 1 / 3)
assert_almost_equal(lrap_score([[0, 1, 0]], [[0.5, 0.75, 0.25]]), 1)
assert_almost_equal(lrap_score([[0, 1, 1]], [[0.5, 0.75, 0.25]]),
(1 + 2 / 3) / 2)
assert_almost_equal(lrap_score([[1, 0, 0]], [[0.5, 0.75, 0.25]]), 1 / 2)
assert_almost_equal(lrap_score([[1, 0, 1]], [[0.5, 0.75, 0.25]]),
(1 / 2 + 2 / 3) / 2)
assert_almost_equal(lrap_score([[1, 1, 0]], [[0.5, 0.75, 0.25]]), 1)
assert_almost_equal(lrap_score([[1, 1, 1]], [[0.5, 0.75, 0.25]]), 1)
# Tie handling
assert_almost_equal(lrap_score([[1, 0]], [[0.5, 0.5]]), 0.5)
assert_almost_equal(lrap_score([[0, 1]], [[0.5, 0.5]]), 0.5)
assert_almost_equal(lrap_score([[1, 1]], [[0.5, 0.5]]), 1)
assert_almost_equal(lrap_score([[0, 0, 1]], [[0.25, 0.5, 0.5]]), 0.5)
assert_almost_equal(lrap_score([[0, 1, 0]], [[0.25, 0.5, 0.5]]), 0.5)
assert_almost_equal(lrap_score([[0, 1, 1]], [[0.25, 0.5, 0.5]]), 1)
assert_almost_equal(lrap_score([[1, 0, 0]], [[0.25, 0.5, 0.5]]), 1 / 3)
assert_almost_equal(lrap_score([[1, 0, 1]], [[0.25, 0.5, 0.5]]),
(2 / 3 + 1 / 2) / 2)
assert_almost_equal(lrap_score([[1, 1, 0]], [[0.25, 0.5, 0.5]]),
(2 / 3 + 1 / 2) / 2)
assert_almost_equal(lrap_score([[1, 1, 1]], [[0.25, 0.5, 0.5]]), 1)
assert_almost_equal(lrap_score([[1, 1, 0]], [[0.5, 0.5, 0.5]]), 2 / 3)
assert_almost_equal(lrap_score([[1, 1, 1, 0]], [[0.5, 0.5, 0.5, 0.5]]),
3 / 4)
def check_zero_or_all_relevant_labels(lrap_score):
random_state = check_random_state(0)
for n_labels in range(2, 5):
y_score = random_state.uniform(size=(1, n_labels))
y_score_ties = np.zeros_like(y_score)
# No relevant labels
y_true = np.zeros((1, n_labels))
assert_equal(lrap_score(y_true, y_score), 1.)
assert_equal(lrap_score(y_true, y_score_ties), 1.)
# Only relevant labels
y_true = np.ones((1, n_labels))
assert_equal(lrap_score(y_true, y_score), 1.)
assert_equal(lrap_score(y_true, y_score_ties), 1.)
# Degenerate case: only one label
assert_almost_equal(lrap_score([[1], [0], [1], [0]],
[[0.5], [0.5], [0.5], [0.5]]), 1.)
def check_lrap_error_raised(lrap_score):
# Raise value error if not appropriate format
assert_raises(ValueError, lrap_score,
[0, 1, 0], [0.25, 0.3, 0.2])
assert_raises(ValueError, lrap_score, [0, 1, 2],
[[0.25, 0.75, 0.0], [0.7, 0.3, 0.0], [0.8, 0.2, 0.0]])
assert_raises(ValueError, lrap_score, [(0), (1), (2)],
[[0.25, 0.75, 0.0], [0.7, 0.3, 0.0], [0.8, 0.2, 0.0]])
# Check that that y_true.shape != y_score.shape raise the proper exception
assert_raises(ValueError, lrap_score, [[0, 1], [0, 1]], [0, 1])
assert_raises(ValueError, lrap_score, [[0, 1], [0, 1]], [[0, 1]])
assert_raises(ValueError, lrap_score, [[0, 1], [0, 1]], [[0], [1]])
assert_raises(ValueError, lrap_score, [[0, 1]], [[0, 1], [0, 1]])
assert_raises(ValueError, lrap_score, [[0], [1]], [[0, 1], [0, 1]])
assert_raises(ValueError, lrap_score, [[0, 1], [0, 1]], [[0], [1]])
def check_lrap_only_ties(lrap_score):
# Check tie handling in score
# Basic check with only ties and increasing label space
for n_labels in range(2, 10):
y_score = np.ones((1, n_labels))
# Check for growing number of consecutive relevant
for n_relevant in range(1, n_labels):
# Check for a bunch of positions
for pos in range(n_labels - n_relevant):
y_true = np.zeros((1, n_labels))
y_true[0, pos:pos + n_relevant] = 1
assert_almost_equal(lrap_score(y_true, y_score),
n_relevant / n_labels)
def check_lrap_without_tie_and_increasing_score(lrap_score):
# Check that Label ranking average precision works for various
# Basic check with increasing label space size and decreasing score
for n_labels in range(2, 10):
y_score = n_labels - (np.arange(n_labels).reshape((1, n_labels)) + 1)
# First and last
y_true = np.zeros((1, n_labels))
y_true[0, 0] = 1
y_true[0, -1] = 1
assert_almost_equal(lrap_score(y_true, y_score),
(2 / n_labels + 1) / 2)
# Check for growing number of consecutive relevant label
for n_relevant in range(1, n_labels):
# Check for a bunch of position
for pos in range(n_labels - n_relevant):
y_true = np.zeros((1, n_labels))
y_true[0, pos:pos + n_relevant] = 1
assert_almost_equal(lrap_score(y_true, y_score),
sum((r + 1) / ((pos + r + 1) * n_relevant)
for r in range(n_relevant)))
def _my_lrap(y_true, y_score):
"""Simple implementation of label ranking average precision"""
check_consistent_length(y_true, y_score)
y_true = check_array(y_true)
y_score = check_array(y_score)
n_samples, n_labels = y_true.shape
score = np.empty((n_samples, ))
for i in range(n_samples):
# The best rank correspond to 1. Rank higher than 1 are worse.
# The best inverse ranking correspond to n_labels.
unique_rank, inv_rank = np.unique(y_score[i], return_inverse=True)
n_ranks = unique_rank.size
rank = n_ranks - inv_rank
# Rank need to be corrected to take into account ties
# ex: rank 1 ex aequo means that both label are rank 2.
corr_rank = np.bincount(rank, minlength=n_ranks + 1).cumsum()
rank = corr_rank[rank]
relevant = y_true[i].nonzero()[0]
if relevant.size == 0 or relevant.size == n_labels:
score[i] = 1
continue
score[i] = 0.
for label in relevant:
# Let's count the number of relevant label with better rank
# (smaller rank).
n_ranked_above = sum(rank[r] <= rank[label] for r in relevant)
# Weight by the rank of the actual label
score[i] += n_ranked_above / rank[label]
score[i] /= relevant.size
return score.mean()
def check_alternative_lrap_implementation(lrap_score, n_classes=5,
n_samples=20, random_state=0):
_, y_true = make_multilabel_classification(n_features=1,
allow_unlabeled=False,
random_state=random_state,
n_classes=n_classes,
n_samples=n_samples)
# Score with ties
y_score = sparse_random_matrix(n_components=y_true.shape[0],
n_features=y_true.shape[1],
random_state=random_state)
if hasattr(y_score, "toarray"):
y_score = y_score.toarray()
score_lrap = label_ranking_average_precision_score(y_true, y_score)
score_my_lrap = _my_lrap(y_true, y_score)
assert_almost_equal(score_lrap, score_my_lrap)
# Uniform score
random_state = check_random_state(random_state)
y_score = random_state.uniform(size=(n_samples, n_classes))
score_lrap = label_ranking_average_precision_score(y_true, y_score)
score_my_lrap = _my_lrap(y_true, y_score)
assert_almost_equal(score_lrap, score_my_lrap)
def test_label_ranking_avp():
for fn in [label_ranking_average_precision_score, _my_lrap]:
yield check_lrap_toy, fn
yield check_lrap_without_tie_and_increasing_score, fn
yield check_lrap_only_ties, fn
yield check_zero_or_all_relevant_labels, fn
yield check_lrap_error_raised, label_ranking_average_precision_score
for n_samples, n_classes, random_state in product((1, 2, 8, 20),
(2, 5, 10),
range(1)):
yield (check_alternative_lrap_implementation,
label_ranking_average_precision_score,
n_classes, n_samples, random_state)
def test_coverage_error():
# Toy case
assert_almost_equal(coverage_error([[0, 1]], [[0.25, 0.75]]), 1)
assert_almost_equal(coverage_error([[0, 1]], [[0.75, 0.25]]), 2)
assert_almost_equal(coverage_error([[1, 1]], [[0.75, 0.25]]), 2)
assert_almost_equal(coverage_error([[0, 0]], [[0.75, 0.25]]), 0)
assert_almost_equal(coverage_error([[0, 0, 0]], [[0.25, 0.5, 0.75]]), 0)
assert_almost_equal(coverage_error([[0, 0, 1]], [[0.25, 0.5, 0.75]]), 1)
assert_almost_equal(coverage_error([[0, 1, 0]], [[0.25, 0.5, 0.75]]), 2)
assert_almost_equal(coverage_error([[0, 1, 1]], [[0.25, 0.5, 0.75]]), 2)
assert_almost_equal(coverage_error([[1, 0, 0]], [[0.25, 0.5, 0.75]]), 3)
assert_almost_equal(coverage_error([[1, 0, 1]], [[0.25, 0.5, 0.75]]), 3)
assert_almost_equal(coverage_error([[1, 1, 0]], [[0.25, 0.5, 0.75]]), 3)
assert_almost_equal(coverage_error([[1, 1, 1]], [[0.25, 0.5, 0.75]]), 3)
assert_almost_equal(coverage_error([[0, 0, 0]], [[0.75, 0.5, 0.25]]), 0)
assert_almost_equal(coverage_error([[0, 0, 1]], [[0.75, 0.5, 0.25]]), 3)
assert_almost_equal(coverage_error([[0, 1, 0]], [[0.75, 0.5, 0.25]]), 2)
assert_almost_equal(coverage_error([[0, 1, 1]], [[0.75, 0.5, 0.25]]), 3)
assert_almost_equal(coverage_error([[1, 0, 0]], [[0.75, 0.5, 0.25]]), 1)
assert_almost_equal(coverage_error([[1, 0, 1]], [[0.75, 0.5, 0.25]]), 3)
assert_almost_equal(coverage_error([[1, 1, 0]], [[0.75, 0.5, 0.25]]), 2)
assert_almost_equal(coverage_error([[1, 1, 1]], [[0.75, 0.5, 0.25]]), 3)
assert_almost_equal(coverage_error([[0, 0, 0]], [[0.5, 0.75, 0.25]]), 0)
assert_almost_equal(coverage_error([[0, 0, 1]], [[0.5, 0.75, 0.25]]), 3)
assert_almost_equal(coverage_error([[0, 1, 0]], [[0.5, 0.75, 0.25]]), 1)
assert_almost_equal(coverage_error([[0, 1, 1]], [[0.5, 0.75, 0.25]]), 3)
assert_almost_equal(coverage_error([[1, 0, 0]], [[0.5, 0.75, 0.25]]), 2)
assert_almost_equal(coverage_error([[1, 0, 1]], [[0.5, 0.75, 0.25]]), 3)
assert_almost_equal(coverage_error([[1, 1, 0]], [[0.5, 0.75, 0.25]]), 2)
assert_almost_equal(coverage_error([[1, 1, 1]], [[0.5, 0.75, 0.25]]), 3)
# Non trival case
assert_almost_equal(coverage_error([[0, 1, 0], [1, 1, 0]],
[[0.1, 10., -3], [0, 1, 3]]),
(1 + 3) / 2.)
assert_almost_equal(coverage_error([[0, 1, 0], [1, 1, 0], [0, 1, 1]],
[[0.1, 10, -3], [0, 1, 3], [0, 2, 0]]),
(1 + 3 + 3) / 3.)
assert_almost_equal(coverage_error([[0, 1, 0], [1, 1, 0], [0, 1, 1]],
[[0.1, 10, -3], [3, 1, 3], [0, 2, 0]]),
(1 + 3 + 3) / 3.)
def test_coverage_tie_handling():
assert_almost_equal(coverage_error([[0, 0]], [[0.5, 0.5]]), 0)
assert_almost_equal(coverage_error([[1, 0]], [[0.5, 0.5]]), 2)
assert_almost_equal(coverage_error([[0, 1]], [[0.5, 0.5]]), 2)
assert_almost_equal(coverage_error([[1, 1]], [[0.5, 0.5]]), 2)
assert_almost_equal(coverage_error([[0, 0, 0]], [[0.25, 0.5, 0.5]]), 0)
assert_almost_equal(coverage_error([[0, 0, 1]], [[0.25, 0.5, 0.5]]), 2)
assert_almost_equal(coverage_error([[0, 1, 0]], [[0.25, 0.5, 0.5]]), 2)
assert_almost_equal(coverage_error([[0, 1, 1]], [[0.25, 0.5, 0.5]]), 2)
assert_almost_equal(coverage_error([[1, 0, 0]], [[0.25, 0.5, 0.5]]), 3)
assert_almost_equal(coverage_error([[1, 0, 1]], [[0.25, 0.5, 0.5]]), 3)
assert_almost_equal(coverage_error([[1, 1, 0]], [[0.25, 0.5, 0.5]]), 3)
assert_almost_equal(coverage_error([[1, 1, 1]], [[0.25, 0.5, 0.5]]), 3)
def test_label_ranking_loss():
assert_almost_equal(label_ranking_loss([[0, 1]], [[0.25, 0.75]]), 0)
assert_almost_equal(label_ranking_loss([[0, 1]], [[0.75, 0.25]]), 1)
assert_almost_equal(label_ranking_loss([[0, 0, 1]], [[0.25, 0.5, 0.75]]),
0)
assert_almost_equal(label_ranking_loss([[0, 1, 0]], [[0.25, 0.5, 0.75]]),
1 / 2)
assert_almost_equal(label_ranking_loss([[0, 1, 1]], [[0.25, 0.5, 0.75]]),
0)
assert_almost_equal(label_ranking_loss([[1, 0, 0]], [[0.25, 0.5, 0.75]]),
2 / 2)
assert_almost_equal(label_ranking_loss([[1, 0, 1]], [[0.25, 0.5, 0.75]]),
1 / 2)
assert_almost_equal(label_ranking_loss([[1, 1, 0]], [[0.25, 0.5, 0.75]]),
2 / 2)
# Undefined metrics - the ranking doesn't matter
assert_almost_equal(label_ranking_loss([[0, 0]], [[0.75, 0.25]]), 0)
assert_almost_equal(label_ranking_loss([[1, 1]], [[0.75, 0.25]]), 0)
assert_almost_equal(label_ranking_loss([[0, 0]], [[0.5, 0.5]]), 0)
assert_almost_equal(label_ranking_loss([[1, 1]], [[0.5, 0.5]]), 0)
assert_almost_equal(label_ranking_loss([[0, 0, 0]], [[0.5, 0.75, 0.25]]),
0)
assert_almost_equal(label_ranking_loss([[1, 1, 1]], [[0.5, 0.75, 0.25]]),
0)
assert_almost_equal(label_ranking_loss([[0, 0, 0]], [[0.25, 0.5, 0.5]]),
0)
assert_almost_equal(label_ranking_loss([[1, 1, 1]], [[0.25, 0.5, 0.5]]), 0)
# Non trival case
assert_almost_equal(label_ranking_loss([[0, 1, 0], [1, 1, 0]],
[[0.1, 10., -3], [0, 1, 3]]),
(0 + 2 / 2) / 2.)
assert_almost_equal(label_ranking_loss(
[[0, 1, 0], [1, 1, 0], [0, 1, 1]],
[[0.1, 10, -3], [0, 1, 3], [0, 2, 0]]),
(0 + 2 / 2 + 1 / 2) / 3.)
assert_almost_equal(label_ranking_loss(
[[0, 1, 0], [1, 1, 0], [0, 1, 1]],
[[0.1, 10, -3], [3, 1, 3], [0, 2, 0]]),
(0 + 2 / 2 + 1 / 2) / 3.)
# Sparse csr matrices
assert_almost_equal(label_ranking_loss(
csr_matrix(np.array([[0, 1, 0], [1, 1, 0]])),
[[0.1, 10, -3], [3, 1, 3]]),
(0 + 2 / 2) / 2.)
def test_ranking_appropriate_input_shape():
# Check that that y_true.shape != y_score.shape raise the proper exception
assert_raises(ValueError, label_ranking_loss, [[0, 1], [0, 1]], [0, 1])
assert_raises(ValueError, label_ranking_loss, [[0, 1], [0, 1]], [[0, 1]])
assert_raises(ValueError, label_ranking_loss,
[[0, 1], [0, 1]], [[0], [1]])
assert_raises(ValueError, label_ranking_loss, [[0, 1]], [[0, 1], [0, 1]])
assert_raises(ValueError, label_ranking_loss,
[[0], [1]], [[0, 1], [0, 1]])
assert_raises(ValueError, label_ranking_loss, [[0, 1], [0, 1]], [[0], [1]])
def test_ranking_loss_ties_handling():
# Tie handling
assert_almost_equal(label_ranking_loss([[1, 0]], [[0.5, 0.5]]), 1)
assert_almost_equal(label_ranking_loss([[0, 1]], [[0.5, 0.5]]), 1)
assert_almost_equal(label_ranking_loss([[0, 0, 1]], [[0.25, 0.5, 0.5]]),
1 / 2)
assert_almost_equal(label_ranking_loss([[0, 1, 0]], [[0.25, 0.5, 0.5]]),
1 / 2)
assert_almost_equal(label_ranking_loss([[0, 1, 1]], [[0.25, 0.5, 0.5]]), 0)
assert_almost_equal(label_ranking_loss([[1, 0, 0]], [[0.25, 0.5, 0.5]]), 1)
assert_almost_equal(label_ranking_loss([[1, 0, 1]], [[0.25, 0.5, 0.5]]), 1)
assert_almost_equal(label_ranking_loss([[1, 1, 0]], [[0.25, 0.5, 0.5]]), 1)
| bsd-3-clause |
cybernet14/scikit-learn | examples/svm/plot_oneclass.py | 249 | 2302 | """
==========================================
One-class SVM with non-linear kernel (RBF)
==========================================
An example using a one-class SVM for novelty detection.
:ref:`One-class SVM <svm_outlier_detection>` is an unsupervised
algorithm that learns a decision function for novelty detection:
classifying new data as similar or different to the training set.
"""
print(__doc__)
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.font_manager
from sklearn import svm
xx, yy = np.meshgrid(np.linspace(-5, 5, 500), np.linspace(-5, 5, 500))
# Generate train data
X = 0.3 * np.random.randn(100, 2)
X_train = np.r_[X + 2, X - 2]
# Generate some regular novel observations
X = 0.3 * np.random.randn(20, 2)
X_test = np.r_[X + 2, X - 2]
# Generate some abnormal novel observations
X_outliers = np.random.uniform(low=-4, high=4, size=(20, 2))
# fit the model
clf = svm.OneClassSVM(nu=0.1, kernel="rbf", gamma=0.1)
clf.fit(X_train)
y_pred_train = clf.predict(X_train)
y_pred_test = clf.predict(X_test)
y_pred_outliers = clf.predict(X_outliers)
n_error_train = y_pred_train[y_pred_train == -1].size
n_error_test = y_pred_test[y_pred_test == -1].size
n_error_outliers = y_pred_outliers[y_pred_outliers == 1].size
# plot the line, the points, and the nearest vectors to the plane
Z = clf.decision_function(np.c_[xx.ravel(), yy.ravel()])
Z = Z.reshape(xx.shape)
plt.title("Novelty Detection")
plt.contourf(xx, yy, Z, levels=np.linspace(Z.min(), 0, 7), cmap=plt.cm.Blues_r)
a = plt.contour(xx, yy, Z, levels=[0], linewidths=2, colors='red')
plt.contourf(xx, yy, Z, levels=[0, Z.max()], colors='orange')
b1 = plt.scatter(X_train[:, 0], X_train[:, 1], c='white')
b2 = plt.scatter(X_test[:, 0], X_test[:, 1], c='green')
c = plt.scatter(X_outliers[:, 0], X_outliers[:, 1], c='red')
plt.axis('tight')
plt.xlim((-5, 5))
plt.ylim((-5, 5))
plt.legend([a.collections[0], b1, b2, c],
["learned frontier", "training observations",
"new regular observations", "new abnormal observations"],
loc="upper left",
prop=matplotlib.font_manager.FontProperties(size=11))
plt.xlabel(
"error train: %d/200 ; errors novel regular: %d/40 ; "
"errors novel abnormal: %d/40"
% (n_error_train, n_error_test, n_error_outliers))
plt.show()
| bsd-3-clause |
DhiruPranav/data-science-from-scratch | code/gradient_descent.py | 53 | 5895 | from __future__ import division
from collections import Counter
from linear_algebra import distance, vector_subtract, scalar_multiply
import math, random
def sum_of_squares(v):
"""computes the sum of squared elements in v"""
return sum(v_i ** 2 for v_i in v)
def difference_quotient(f, x, h):
return (f(x + h) - f(x)) / h
def plot_estimated_derivative():
def square(x):
return x * x
def derivative(x):
return 2 * x
derivative_estimate = lambda x: difference_quotient(square, x, h=0.00001)
# plot to show they're basically the same
import matplotlib.pyplot as plt
x = range(-10,10)
plt.plot(x, map(derivative, x), 'rx') # red x
plt.plot(x, map(derivative_estimate, x), 'b+') # blue +
plt.show() # purple *, hopefully
def partial_difference_quotient(f, v, i, h):
# add h to just the i-th element of v
w = [v_j + (h if j == i else 0)
for j, v_j in enumerate(v)]
return (f(w) - f(v)) / h
def estimate_gradient(f, v, h=0.00001):
return [partial_difference_quotient(f, v, i, h)
for i, _ in enumerate(v)]
def step(v, direction, step_size):
"""move step_size in the direction from v"""
return [v_i + step_size * direction_i
for v_i, direction_i in zip(v, direction)]
def sum_of_squares_gradient(v):
return [2 * v_i for v_i in v]
def safe(f):
"""define a new function that wraps f and return it"""
def safe_f(*args, **kwargs):
try:
return f(*args, **kwargs)
except:
return float('inf') # this means "infinity" in Python
return safe_f
#
#
# minimize / maximize batch
#
#
def minimize_batch(target_fn, gradient_fn, theta_0, tolerance=0.000001):
"""use gradient descent to find theta that minimizes target function"""
step_sizes = [100, 10, 1, 0.1, 0.01, 0.001, 0.0001, 0.00001]
theta = theta_0 # set theta to initial value
target_fn = safe(target_fn) # safe version of target_fn
value = target_fn(theta) # value we're minimizing
while True:
gradient = gradient_fn(theta)
next_thetas = [step(theta, gradient, -step_size)
for step_size in step_sizes]
# choose the one that minimizes the error function
next_theta = min(next_thetas, key=target_fn)
next_value = target_fn(next_theta)
# stop if we're "converging"
if abs(value - next_value) < tolerance:
return theta
else:
theta, value = next_theta, next_value
def negate(f):
"""return a function that for any input x returns -f(x)"""
return lambda *args, **kwargs: -f(*args, **kwargs)
def negate_all(f):
"""the same when f returns a list of numbers"""
return lambda *args, **kwargs: [-y for y in f(*args, **kwargs)]
def maximize_batch(target_fn, gradient_fn, theta_0, tolerance=0.000001):
return minimize_batch(negate(target_fn),
negate_all(gradient_fn),
theta_0,
tolerance)
#
# minimize / maximize stochastic
#
def in_random_order(data):
"""generator that returns the elements of data in random order"""
indexes = [i for i, _ in enumerate(data)] # create a list of indexes
random.shuffle(indexes) # shuffle them
for i in indexes: # return the data in that order
yield data[i]
def minimize_stochastic(target_fn, gradient_fn, x, y, theta_0, alpha_0=0.01):
data = zip(x, y)
theta = theta_0 # initial guess
alpha = alpha_0 # initial step size
min_theta, min_value = None, float("inf") # the minimum so far
iterations_with_no_improvement = 0
# if we ever go 100 iterations with no improvement, stop
while iterations_with_no_improvement < 100:
value = sum( target_fn(x_i, y_i, theta) for x_i, y_i in data )
if value < min_value:
# if we've found a new minimum, remember it
# and go back to the original step size
min_theta, min_value = theta, value
iterations_with_no_improvement = 0
alpha = alpha_0
else:
# otherwise we're not improving, so try shrinking the step size
iterations_with_no_improvement += 1
alpha *= 0.9
# and take a gradient step for each of the data points
for x_i, y_i in in_random_order(data):
gradient_i = gradient_fn(x_i, y_i, theta)
theta = vector_subtract(theta, scalar_multiply(alpha, gradient_i))
return min_theta
def maximize_stochastic(target_fn, gradient_fn, x, y, theta_0, alpha_0=0.01):
return minimize_stochastic(negate(target_fn),
negate_all(gradient_fn),
x, y, theta_0, alpha_0)
if __name__ == "__main__":
print "using the gradient"
v = [random.randint(-10,10) for i in range(3)]
tolerance = 0.0000001
while True:
#print v, sum_of_squares(v)
gradient = sum_of_squares_gradient(v) # compute the gradient at v
next_v = step(v, gradient, -0.01) # take a negative gradient step
if distance(next_v, v) < tolerance: # stop if we're converging
break
v = next_v # continue if we're not
print "minimum v", v
print "minimum value", sum_of_squares(v)
print
print "using minimize_batch"
v = [random.randint(-10,10) for i in range(3)]
v = minimize_batch(sum_of_squares, sum_of_squares_gradient, v)
print "minimum v", v
print "minimum value", sum_of_squares(v)
| unlicense |
thientu/scikit-learn | sklearn/linear_model/tests/test_omp.py | 272 | 7752 | # Author: Vlad Niculae
# Licence: BSD 3 clause
import numpy as np
from sklearn.utils.testing import assert_raises
from sklearn.utils.testing import assert_true
from sklearn.utils.testing import assert_equal
from sklearn.utils.testing import assert_array_equal
from sklearn.utils.testing import assert_array_almost_equal
from sklearn.utils.testing import assert_warns
from sklearn.utils.testing import ignore_warnings
from sklearn.linear_model import (orthogonal_mp, orthogonal_mp_gram,
OrthogonalMatchingPursuit,
OrthogonalMatchingPursuitCV,
LinearRegression)
from sklearn.utils import check_random_state
from sklearn.datasets import make_sparse_coded_signal
n_samples, n_features, n_nonzero_coefs, n_targets = 20, 30, 5, 3
y, X, gamma = make_sparse_coded_signal(n_targets, n_features, n_samples,
n_nonzero_coefs, random_state=0)
G, Xy = np.dot(X.T, X), np.dot(X.T, y)
# this makes X (n_samples, n_features)
# and y (n_samples, 3)
def test_correct_shapes():
assert_equal(orthogonal_mp(X, y[:, 0], n_nonzero_coefs=5).shape,
(n_features,))
assert_equal(orthogonal_mp(X, y, n_nonzero_coefs=5).shape,
(n_features, 3))
def test_correct_shapes_gram():
assert_equal(orthogonal_mp_gram(G, Xy[:, 0], n_nonzero_coefs=5).shape,
(n_features,))
assert_equal(orthogonal_mp_gram(G, Xy, n_nonzero_coefs=5).shape,
(n_features, 3))
def test_n_nonzero_coefs():
assert_true(np.count_nonzero(orthogonal_mp(X, y[:, 0],
n_nonzero_coefs=5)) <= 5)
assert_true(np.count_nonzero(orthogonal_mp(X, y[:, 0], n_nonzero_coefs=5,
precompute=True)) <= 5)
def test_tol():
tol = 0.5
gamma = orthogonal_mp(X, y[:, 0], tol=tol)
gamma_gram = orthogonal_mp(X, y[:, 0], tol=tol, precompute=True)
assert_true(np.sum((y[:, 0] - np.dot(X, gamma)) ** 2) <= tol)
assert_true(np.sum((y[:, 0] - np.dot(X, gamma_gram)) ** 2) <= tol)
def test_with_without_gram():
assert_array_almost_equal(
orthogonal_mp(X, y, n_nonzero_coefs=5),
orthogonal_mp(X, y, n_nonzero_coefs=5, precompute=True))
def test_with_without_gram_tol():
assert_array_almost_equal(
orthogonal_mp(X, y, tol=1.),
orthogonal_mp(X, y, tol=1., precompute=True))
def test_unreachable_accuracy():
assert_array_almost_equal(
orthogonal_mp(X, y, tol=0),
orthogonal_mp(X, y, n_nonzero_coefs=n_features))
assert_array_almost_equal(
assert_warns(RuntimeWarning, orthogonal_mp, X, y, tol=0,
precompute=True),
orthogonal_mp(X, y, precompute=True,
n_nonzero_coefs=n_features))
def test_bad_input():
assert_raises(ValueError, orthogonal_mp, X, y, tol=-1)
assert_raises(ValueError, orthogonal_mp, X, y, n_nonzero_coefs=-1)
assert_raises(ValueError, orthogonal_mp, X, y,
n_nonzero_coefs=n_features + 1)
assert_raises(ValueError, orthogonal_mp_gram, G, Xy, tol=-1)
assert_raises(ValueError, orthogonal_mp_gram, G, Xy, n_nonzero_coefs=-1)
assert_raises(ValueError, orthogonal_mp_gram, G, Xy,
n_nonzero_coefs=n_features + 1)
def test_perfect_signal_recovery():
idx, = gamma[:, 0].nonzero()
gamma_rec = orthogonal_mp(X, y[:, 0], 5)
gamma_gram = orthogonal_mp_gram(G, Xy[:, 0], 5)
assert_array_equal(idx, np.flatnonzero(gamma_rec))
assert_array_equal(idx, np.flatnonzero(gamma_gram))
assert_array_almost_equal(gamma[:, 0], gamma_rec, decimal=2)
assert_array_almost_equal(gamma[:, 0], gamma_gram, decimal=2)
def test_estimator():
omp = OrthogonalMatchingPursuit(n_nonzero_coefs=n_nonzero_coefs)
omp.fit(X, y[:, 0])
assert_equal(omp.coef_.shape, (n_features,))
assert_equal(omp.intercept_.shape, ())
assert_true(np.count_nonzero(omp.coef_) <= n_nonzero_coefs)
omp.fit(X, y)
assert_equal(omp.coef_.shape, (n_targets, n_features))
assert_equal(omp.intercept_.shape, (n_targets,))
assert_true(np.count_nonzero(omp.coef_) <= n_targets * n_nonzero_coefs)
omp.set_params(fit_intercept=False, normalize=False)
omp.fit(X, y[:, 0])
assert_equal(omp.coef_.shape, (n_features,))
assert_equal(omp.intercept_, 0)
assert_true(np.count_nonzero(omp.coef_) <= n_nonzero_coefs)
omp.fit(X, y)
assert_equal(omp.coef_.shape, (n_targets, n_features))
assert_equal(omp.intercept_, 0)
assert_true(np.count_nonzero(omp.coef_) <= n_targets * n_nonzero_coefs)
def test_identical_regressors():
newX = X.copy()
newX[:, 1] = newX[:, 0]
gamma = np.zeros(n_features)
gamma[0] = gamma[1] = 1.
newy = np.dot(newX, gamma)
assert_warns(RuntimeWarning, orthogonal_mp, newX, newy, 2)
def test_swapped_regressors():
gamma = np.zeros(n_features)
# X[:, 21] should be selected first, then X[:, 0] selected second,
# which will take X[:, 21]'s place in case the algorithm does
# column swapping for optimization (which is the case at the moment)
gamma[21] = 1.0
gamma[0] = 0.5
new_y = np.dot(X, gamma)
new_Xy = np.dot(X.T, new_y)
gamma_hat = orthogonal_mp(X, new_y, 2)
gamma_hat_gram = orthogonal_mp_gram(G, new_Xy, 2)
assert_array_equal(np.flatnonzero(gamma_hat), [0, 21])
assert_array_equal(np.flatnonzero(gamma_hat_gram), [0, 21])
def test_no_atoms():
y_empty = np.zeros_like(y)
Xy_empty = np.dot(X.T, y_empty)
gamma_empty = ignore_warnings(orthogonal_mp)(X, y_empty, 1)
gamma_empty_gram = ignore_warnings(orthogonal_mp)(G, Xy_empty, 1)
assert_equal(np.all(gamma_empty == 0), True)
assert_equal(np.all(gamma_empty_gram == 0), True)
def test_omp_path():
path = orthogonal_mp(X, y, n_nonzero_coefs=5, return_path=True)
last = orthogonal_mp(X, y, n_nonzero_coefs=5, return_path=False)
assert_equal(path.shape, (n_features, n_targets, 5))
assert_array_almost_equal(path[:, :, -1], last)
path = orthogonal_mp_gram(G, Xy, n_nonzero_coefs=5, return_path=True)
last = orthogonal_mp_gram(G, Xy, n_nonzero_coefs=5, return_path=False)
assert_equal(path.shape, (n_features, n_targets, 5))
assert_array_almost_equal(path[:, :, -1], last)
def test_omp_return_path_prop_with_gram():
path = orthogonal_mp(X, y, n_nonzero_coefs=5, return_path=True,
precompute=True)
last = orthogonal_mp(X, y, n_nonzero_coefs=5, return_path=False,
precompute=True)
assert_equal(path.shape, (n_features, n_targets, 5))
assert_array_almost_equal(path[:, :, -1], last)
def test_omp_cv():
y_ = y[:, 0]
gamma_ = gamma[:, 0]
ompcv = OrthogonalMatchingPursuitCV(normalize=True, fit_intercept=False,
max_iter=10, cv=5)
ompcv.fit(X, y_)
assert_equal(ompcv.n_nonzero_coefs_, n_nonzero_coefs)
assert_array_almost_equal(ompcv.coef_, gamma_)
omp = OrthogonalMatchingPursuit(normalize=True, fit_intercept=False,
n_nonzero_coefs=ompcv.n_nonzero_coefs_)
omp.fit(X, y_)
assert_array_almost_equal(ompcv.coef_, omp.coef_)
def test_omp_reaches_least_squares():
# Use small simple data; it's a sanity check but OMP can stop early
rng = check_random_state(0)
n_samples, n_features = (10, 8)
n_targets = 3
X = rng.randn(n_samples, n_features)
Y = rng.randn(n_samples, n_targets)
omp = OrthogonalMatchingPursuit(n_nonzero_coefs=n_features)
lstsq = LinearRegression()
omp.fit(X, Y)
lstsq.fit(X, Y)
assert_array_almost_equal(omp.coef_, lstsq.coef_)
| bsd-3-clause |
xyguo/scikit-learn | sklearn/metrics/tests/test_common.py | 31 | 41654 | from __future__ import division, print_function
from functools import partial
from itertools import product
import numpy as np
import scipy.sparse as sp
from sklearn.datasets import make_multilabel_classification
from sklearn.preprocessing import LabelBinarizer
from sklearn.utils.multiclass import type_of_target
from sklearn.utils.validation import check_random_state
from sklearn.utils import shuffle
from sklearn.utils.testing import assert_almost_equal
from sklearn.utils.testing import assert_array_almost_equal
from sklearn.utils.testing import assert_array_equal
from sklearn.utils.testing import assert_equal
from sklearn.utils.testing import assert_greater
from sklearn.utils.testing import assert_not_equal
from sklearn.utils.testing import assert_raises
from sklearn.utils.testing import assert_true
from sklearn.utils.testing import ignore_warnings
from sklearn.metrics import accuracy_score
from sklearn.metrics import average_precision_score
from sklearn.metrics import brier_score_loss
from sklearn.metrics import cohen_kappa_score
from sklearn.metrics import confusion_matrix
from sklearn.metrics import coverage_error
from sklearn.metrics import explained_variance_score
from sklearn.metrics import f1_score
from sklearn.metrics import fbeta_score
from sklearn.metrics import hamming_loss
from sklearn.metrics import hinge_loss
from sklearn.metrics import jaccard_similarity_score
from sklearn.metrics import label_ranking_average_precision_score
from sklearn.metrics import label_ranking_loss
from sklearn.metrics import log_loss
from sklearn.metrics import matthews_corrcoef
from sklearn.metrics import mean_absolute_error
from sklearn.metrics import mean_squared_error
from sklearn.metrics import median_absolute_error
from sklearn.metrics import precision_score
from sklearn.metrics import r2_score
from sklearn.metrics import recall_score
from sklearn.metrics import roc_auc_score
from sklearn.metrics import zero_one_loss
# TODO Curve are currently not covered by invariance test
# from sklearn.metrics import precision_recall_curve
# from sklearn.metrics import roc_curve
from sklearn.metrics.base import _average_binary_score
# Note toward developers about metric testing
# -------------------------------------------
# It is often possible to write one general test for several metrics:
#
# - invariance properties, e.g. invariance to sample order
# - common behavior for an argument, e.g. the "normalize" with value True
# will return the mean of the metrics and with value False will return
# the sum of the metrics.
#
# In order to improve the overall metric testing, it is a good idea to write
# first a specific test for the given metric and then add a general test for
# all metrics that have the same behavior.
#
# Two types of datastructures are used in order to implement this system:
# dictionaries of metrics and lists of metrics wit common properties.
#
# Dictionaries of metrics
# ------------------------
# The goal of having those dictionaries is to have an easy way to call a
# particular metric and associate a name to each function:
#
# - REGRESSION_METRICS: all regression metrics.
# - CLASSIFICATION_METRICS: all classification metrics
# which compare a ground truth and the estimated targets as returned by a
# classifier.
# - THRESHOLDED_METRICS: all classification metrics which
# compare a ground truth and a score, e.g. estimated probabilities or
# decision function (format might vary)
#
# Those dictionaries will be used to test systematically some invariance
# properties, e.g. invariance toward several input layout.
#
REGRESSION_METRICS = {
"mean_absolute_error": mean_absolute_error,
"mean_squared_error": mean_squared_error,
"median_absolute_error": median_absolute_error,
"explained_variance_score": explained_variance_score,
"r2_score": partial(r2_score, multioutput='variance_weighted'),
}
CLASSIFICATION_METRICS = {
"accuracy_score": accuracy_score,
"unnormalized_accuracy_score": partial(accuracy_score, normalize=False),
"confusion_matrix": confusion_matrix,
"hamming_loss": hamming_loss,
"jaccard_similarity_score": jaccard_similarity_score,
"unnormalized_jaccard_similarity_score":
partial(jaccard_similarity_score, normalize=False),
"zero_one_loss": zero_one_loss,
"unnormalized_zero_one_loss": partial(zero_one_loss, normalize=False),
# These are needed to test averaging
"precision_score": precision_score,
"recall_score": recall_score,
"f1_score": f1_score,
"f2_score": partial(fbeta_score, beta=2),
"f0.5_score": partial(fbeta_score, beta=0.5),
"matthews_corrcoef_score": matthews_corrcoef,
"weighted_f0.5_score": partial(fbeta_score, average="weighted", beta=0.5),
"weighted_f1_score": partial(f1_score, average="weighted"),
"weighted_f2_score": partial(fbeta_score, average="weighted", beta=2),
"weighted_precision_score": partial(precision_score, average="weighted"),
"weighted_recall_score": partial(recall_score, average="weighted"),
"micro_f0.5_score": partial(fbeta_score, average="micro", beta=0.5),
"micro_f1_score": partial(f1_score, average="micro"),
"micro_f2_score": partial(fbeta_score, average="micro", beta=2),
"micro_precision_score": partial(precision_score, average="micro"),
"micro_recall_score": partial(recall_score, average="micro"),
"macro_f0.5_score": partial(fbeta_score, average="macro", beta=0.5),
"macro_f1_score": partial(f1_score, average="macro"),
"macro_f2_score": partial(fbeta_score, average="macro", beta=2),
"macro_precision_score": partial(precision_score, average="macro"),
"macro_recall_score": partial(recall_score, average="macro"),
"samples_f0.5_score": partial(fbeta_score, average="samples", beta=0.5),
"samples_f1_score": partial(f1_score, average="samples"),
"samples_f2_score": partial(fbeta_score, average="samples", beta=2),
"samples_precision_score": partial(precision_score, average="samples"),
"samples_recall_score": partial(recall_score, average="samples"),
"cohen_kappa_score": cohen_kappa_score,
}
THRESHOLDED_METRICS = {
"coverage_error": coverage_error,
"label_ranking_loss": label_ranking_loss,
"log_loss": log_loss,
"unnormalized_log_loss": partial(log_loss, normalize=False),
"hinge_loss": hinge_loss,
"brier_score_loss": brier_score_loss,
"roc_auc_score": roc_auc_score,
"weighted_roc_auc": partial(roc_auc_score, average="weighted"),
"samples_roc_auc": partial(roc_auc_score, average="samples"),
"micro_roc_auc": partial(roc_auc_score, average="micro"),
"macro_roc_auc": partial(roc_auc_score, average="macro"),
"average_precision_score": average_precision_score,
"weighted_average_precision_score":
partial(average_precision_score, average="weighted"),
"samples_average_precision_score":
partial(average_precision_score, average="samples"),
"micro_average_precision_score":
partial(average_precision_score, average="micro"),
"macro_average_precision_score":
partial(average_precision_score, average="macro"),
"label_ranking_average_precision_score":
label_ranking_average_precision_score,
}
ALL_METRICS = dict()
ALL_METRICS.update(THRESHOLDED_METRICS)
ALL_METRICS.update(CLASSIFICATION_METRICS)
ALL_METRICS.update(REGRESSION_METRICS)
# Lists of metrics with common properties
# ---------------------------------------
# Lists of metrics with common properties are used to test systematically some
# functionalities and invariance, e.g. SYMMETRIC_METRICS lists all metrics that
# are symmetric with respect to their input argument y_true and y_pred.
#
# When you add a new metric or functionality, check if a general test
# is already written.
# Those metrics don't support binary inputs
METRIC_UNDEFINED_BINARY = [
"samples_f0.5_score",
"samples_f1_score",
"samples_f2_score",
"samples_precision_score",
"samples_recall_score",
"coverage_error",
"roc_auc_score",
"micro_roc_auc",
"weighted_roc_auc",
"macro_roc_auc",
"samples_roc_auc",
"average_precision_score",
"weighted_average_precision_score",
"micro_average_precision_score",
"macro_average_precision_score",
"samples_average_precision_score",
"label_ranking_loss",
"label_ranking_average_precision_score",
]
# Those metrics don't support multiclass inputs
METRIC_UNDEFINED_MULTICLASS = [
"brier_score_loss",
"matthews_corrcoef_score",
]
# Metric undefined with "binary" or "multiclass" input
METRIC_UNDEFINED_BINARY_MULTICLASS = set(METRIC_UNDEFINED_BINARY).union(
set(METRIC_UNDEFINED_MULTICLASS))
# Metrics with an "average" argument
METRICS_WITH_AVERAGING = [
"precision_score", "recall_score", "f1_score", "f2_score", "f0.5_score"
]
# Threshold-based metrics with an "average" argument
THRESHOLDED_METRICS_WITH_AVERAGING = [
"roc_auc_score", "average_precision_score",
]
# Metrics with a "pos_label" argument
METRICS_WITH_POS_LABEL = [
"roc_curve",
"brier_score_loss",
"precision_score", "recall_score", "f1_score", "f2_score", "f0.5_score",
# pos_label support deprecated; to be removed in 0.18:
"weighted_f0.5_score", "weighted_f1_score", "weighted_f2_score",
"weighted_precision_score", "weighted_recall_score",
"micro_f0.5_score", "micro_f1_score", "micro_f2_score",
"micro_precision_score", "micro_recall_score",
"macro_f0.5_score", "macro_f1_score", "macro_f2_score",
"macro_precision_score", "macro_recall_score",
]
# Metrics with a "labels" argument
# TODO: Handle multi_class metrics that has a labels argument as well as a
# decision function argument. e.g hinge_loss
METRICS_WITH_LABELS = [
"confusion_matrix",
"precision_score", "recall_score", "f1_score", "f2_score", "f0.5_score",
"weighted_f0.5_score", "weighted_f1_score", "weighted_f2_score",
"weighted_precision_score", "weighted_recall_score",
"micro_f0.5_score", "micro_f1_score", "micro_f2_score",
"micro_precision_score", "micro_recall_score",
"macro_f0.5_score", "macro_f1_score", "macro_f2_score",
"macro_precision_score", "macro_recall_score",
"cohen_kappa_score",
]
# Metrics with a "normalize" option
METRICS_WITH_NORMALIZE_OPTION = [
"accuracy_score",
"jaccard_similarity_score",
"zero_one_loss",
]
# Threshold-based metrics with "multilabel-indicator" format support
THRESHOLDED_MULTILABEL_METRICS = [
"log_loss",
"unnormalized_log_loss",
"roc_auc_score", "weighted_roc_auc", "samples_roc_auc",
"micro_roc_auc", "macro_roc_auc",
"average_precision_score", "weighted_average_precision_score",
"samples_average_precision_score", "micro_average_precision_score",
"macro_average_precision_score",
"coverage_error", "label_ranking_loss",
]
# Classification metrics with "multilabel-indicator" format
MULTILABELS_METRICS = [
"accuracy_score", "unnormalized_accuracy_score",
"hamming_loss",
"jaccard_similarity_score", "unnormalized_jaccard_similarity_score",
"zero_one_loss", "unnormalized_zero_one_loss",
"precision_score", "recall_score", "f1_score", "f2_score", "f0.5_score",
"weighted_f0.5_score", "weighted_f1_score", "weighted_f2_score",
"weighted_precision_score", "weighted_recall_score",
"micro_f0.5_score", "micro_f1_score", "micro_f2_score",
"micro_precision_score", "micro_recall_score",
"macro_f0.5_score", "macro_f1_score", "macro_f2_score",
"macro_precision_score", "macro_recall_score",
"samples_f0.5_score", "samples_f1_score", "samples_f2_score",
"samples_precision_score", "samples_recall_score",
]
# Regression metrics with "multioutput-continuous" format support
MULTIOUTPUT_METRICS = [
"mean_absolute_error", "mean_squared_error", "r2_score",
"explained_variance_score"
]
# Symmetric with respect to their input arguments y_true and y_pred
# metric(y_true, y_pred) == metric(y_pred, y_true).
SYMMETRIC_METRICS = [
"accuracy_score", "unnormalized_accuracy_score",
"hamming_loss",
"jaccard_similarity_score", "unnormalized_jaccard_similarity_score",
"zero_one_loss", "unnormalized_zero_one_loss",
"f1_score", "weighted_f1_score", "micro_f1_score", "macro_f1_score",
"matthews_corrcoef_score", "mean_absolute_error", "mean_squared_error",
"median_absolute_error",
"cohen_kappa_score",
]
# Asymmetric with respect to their input arguments y_true and y_pred
# metric(y_true, y_pred) != metric(y_pred, y_true).
NOT_SYMMETRIC_METRICS = [
"explained_variance_score",
"r2_score",
"confusion_matrix",
"precision_score", "recall_score", "f2_score", "f0.5_score",
"weighted_f0.5_score", "weighted_f2_score", "weighted_precision_score",
"weighted_recall_score",
"micro_f0.5_score", "micro_f2_score", "micro_precision_score",
"micro_recall_score",
"macro_f0.5_score", "macro_f2_score", "macro_precision_score",
"macro_recall_score", "log_loss", "hinge_loss"
]
# No Sample weight support
METRICS_WITHOUT_SAMPLE_WEIGHT = [
"cohen_kappa_score",
"confusion_matrix", # Left this one here because the tests in this file do
# not work for confusion_matrix, as its output is a
# matrix instead of a number. Testing of
# confusion_matrix with sample_weight is in
# test_classification.py
"median_absolute_error",
]
@ignore_warnings
def test_symmetry():
# Test the symmetry of score and loss functions
random_state = check_random_state(0)
y_true = random_state.randint(0, 2, size=(20, ))
y_pred = random_state.randint(0, 2, size=(20, ))
# We shouldn't forget any metrics
assert_equal(set(SYMMETRIC_METRICS).union(
NOT_SYMMETRIC_METRICS, THRESHOLDED_METRICS,
METRIC_UNDEFINED_BINARY_MULTICLASS), set(ALL_METRICS))
assert_equal(
set(SYMMETRIC_METRICS).intersection(set(NOT_SYMMETRIC_METRICS)),
set([]))
# Symmetric metric
for name in SYMMETRIC_METRICS:
metric = ALL_METRICS[name]
assert_almost_equal(metric(y_true, y_pred),
metric(y_pred, y_true),
err_msg="%s is not symmetric" % name)
# Not symmetric metrics
for name in NOT_SYMMETRIC_METRICS:
metric = ALL_METRICS[name]
assert_true(np.any(metric(y_true, y_pred) != metric(y_pred, y_true)),
msg="%s seems to be symmetric" % name)
@ignore_warnings
def test_sample_order_invariance():
random_state = check_random_state(0)
y_true = random_state.randint(0, 2, size=(20, ))
y_pred = random_state.randint(0, 2, size=(20, ))
y_true_shuffle, y_pred_shuffle = shuffle(y_true, y_pred, random_state=0)
for name, metric in ALL_METRICS.items():
if name in METRIC_UNDEFINED_BINARY_MULTICLASS:
continue
assert_almost_equal(metric(y_true, y_pred),
metric(y_true_shuffle, y_pred_shuffle),
err_msg="%s is not sample order invariant"
% name)
@ignore_warnings
def test_sample_order_invariance_multilabel_and_multioutput():
random_state = check_random_state(0)
# Generate some data
y_true = random_state.randint(0, 2, size=(20, 25))
y_pred = random_state.randint(0, 2, size=(20, 25))
y_score = random_state.normal(size=y_true.shape)
y_true_shuffle, y_pred_shuffle, y_score_shuffle = shuffle(y_true,
y_pred,
y_score,
random_state=0)
for name in MULTILABELS_METRICS:
metric = ALL_METRICS[name]
assert_almost_equal(metric(y_true, y_pred),
metric(y_true_shuffle, y_pred_shuffle),
err_msg="%s is not sample order invariant"
% name)
for name in THRESHOLDED_MULTILABEL_METRICS:
metric = ALL_METRICS[name]
assert_almost_equal(metric(y_true, y_score),
metric(y_true_shuffle, y_score_shuffle),
err_msg="%s is not sample order invariant"
% name)
for name in MULTIOUTPUT_METRICS:
metric = ALL_METRICS[name]
assert_almost_equal(metric(y_true, y_score),
metric(y_true_shuffle, y_score_shuffle),
err_msg="%s is not sample order invariant"
% name)
assert_almost_equal(metric(y_true, y_pred),
metric(y_true_shuffle, y_pred_shuffle),
err_msg="%s is not sample order invariant"
% name)
@ignore_warnings
def test_format_invariance_with_1d_vectors():
random_state = check_random_state(0)
y1 = random_state.randint(0, 2, size=(20, ))
y2 = random_state.randint(0, 2, size=(20, ))
y1_list = list(y1)
y2_list = list(y2)
y1_1d, y2_1d = np.array(y1), np.array(y2)
assert_equal(y1_1d.ndim, 1)
assert_equal(y2_1d.ndim, 1)
y1_column = np.reshape(y1_1d, (-1, 1))
y2_column = np.reshape(y2_1d, (-1, 1))
y1_row = np.reshape(y1_1d, (1, -1))
y2_row = np.reshape(y2_1d, (1, -1))
for name, metric in ALL_METRICS.items():
if name in METRIC_UNDEFINED_BINARY_MULTICLASS:
continue
measure = metric(y1, y2)
assert_almost_equal(metric(y1_list, y2_list), measure,
err_msg="%s is not representation invariant "
"with list" % name)
assert_almost_equal(metric(y1_1d, y2_1d), measure,
err_msg="%s is not representation invariant "
"with np-array-1d" % name)
assert_almost_equal(metric(y1_column, y2_column), measure,
err_msg="%s is not representation invariant "
"with np-array-column" % name)
# Mix format support
assert_almost_equal(metric(y1_1d, y2_list), measure,
err_msg="%s is not representation invariant "
"with mix np-array-1d and list" % name)
assert_almost_equal(metric(y1_list, y2_1d), measure,
err_msg="%s is not representation invariant "
"with mix np-array-1d and list" % name)
assert_almost_equal(metric(y1_1d, y2_column), measure,
err_msg="%s is not representation invariant "
"with mix np-array-1d and np-array-column"
% name)
assert_almost_equal(metric(y1_column, y2_1d), measure,
err_msg="%s is not representation invariant "
"with mix np-array-1d and np-array-column"
% name)
assert_almost_equal(metric(y1_list, y2_column), measure,
err_msg="%s is not representation invariant "
"with mix list and np-array-column"
% name)
assert_almost_equal(metric(y1_column, y2_list), measure,
err_msg="%s is not representation invariant "
"with mix list and np-array-column"
% name)
# These mix representations aren't allowed
assert_raises(ValueError, metric, y1_1d, y2_row)
assert_raises(ValueError, metric, y1_row, y2_1d)
assert_raises(ValueError, metric, y1_list, y2_row)
assert_raises(ValueError, metric, y1_row, y2_list)
assert_raises(ValueError, metric, y1_column, y2_row)
assert_raises(ValueError, metric, y1_row, y2_column)
# NB: We do not test for y1_row, y2_row as these may be
# interpreted as multilabel or multioutput data.
if (name not in (MULTIOUTPUT_METRICS + THRESHOLDED_MULTILABEL_METRICS +
MULTILABELS_METRICS)):
assert_raises(ValueError, metric, y1_row, y2_row)
@ignore_warnings
def test_invariance_string_vs_numbers_labels():
# Ensure that classification metrics with string labels
random_state = check_random_state(0)
y1 = random_state.randint(0, 2, size=(20, ))
y2 = random_state.randint(0, 2, size=(20, ))
y1_str = np.array(["eggs", "spam"])[y1]
y2_str = np.array(["eggs", "spam"])[y2]
pos_label_str = "spam"
labels_str = ["eggs", "spam"]
for name, metric in CLASSIFICATION_METRICS.items():
if name in METRIC_UNDEFINED_BINARY_MULTICLASS:
continue
measure_with_number = metric(y1, y2)
# Ugly, but handle case with a pos_label and label
metric_str = metric
if name in METRICS_WITH_POS_LABEL:
metric_str = partial(metric_str, pos_label=pos_label_str)
measure_with_str = metric_str(y1_str, y2_str)
assert_array_equal(measure_with_number, measure_with_str,
err_msg="{0} failed string vs number invariance "
"test".format(name))
measure_with_strobj = metric_str(y1_str.astype('O'),
y2_str.astype('O'))
assert_array_equal(measure_with_number, measure_with_strobj,
err_msg="{0} failed string object vs number "
"invariance test".format(name))
if name in METRICS_WITH_LABELS:
metric_str = partial(metric_str, labels=labels_str)
measure_with_str = metric_str(y1_str, y2_str)
assert_array_equal(measure_with_number, measure_with_str,
err_msg="{0} failed string vs number "
"invariance test".format(name))
measure_with_strobj = metric_str(y1_str.astype('O'),
y2_str.astype('O'))
assert_array_equal(measure_with_number, measure_with_strobj,
err_msg="{0} failed string vs number "
"invariance test".format(name))
for name, metric in THRESHOLDED_METRICS.items():
if name in ("log_loss", "hinge_loss", "unnormalized_log_loss",
"brier_score_loss"):
# Ugly, but handle case with a pos_label and label
metric_str = metric
if name in METRICS_WITH_POS_LABEL:
metric_str = partial(metric_str, pos_label=pos_label_str)
measure_with_number = metric(y1, y2)
measure_with_str = metric_str(y1_str, y2)
assert_array_equal(measure_with_number, measure_with_str,
err_msg="{0} failed string vs number "
"invariance test".format(name))
measure_with_strobj = metric(y1_str.astype('O'), y2)
assert_array_equal(measure_with_number, measure_with_strobj,
err_msg="{0} failed string object vs number "
"invariance test".format(name))
else:
# TODO those metrics doesn't support string label yet
assert_raises(ValueError, metric, y1_str, y2)
assert_raises(ValueError, metric, y1_str.astype('O'), y2)
@ignore_warnings
def check_single_sample(name):
# Non-regression test: scores should work with a single sample.
# This is important for leave-one-out cross validation.
# Score functions tested are those that formerly called np.squeeze,
# which turns an array of size 1 into a 0-d array (!).
metric = ALL_METRICS[name]
# assert that no exception is thrown
for i, j in product([0, 1], repeat=2):
metric([i], [j])
@ignore_warnings
def check_single_sample_multioutput(name):
metric = ALL_METRICS[name]
for i, j, k, l in product([0, 1], repeat=4):
metric(np.array([[i, j]]), np.array([[k, l]]))
def test_single_sample():
for name in ALL_METRICS:
if (name in METRIC_UNDEFINED_BINARY_MULTICLASS or
name in THRESHOLDED_METRICS):
# Those metrics are not always defined with one sample
# or in multiclass classification
continue
yield check_single_sample, name
for name in MULTIOUTPUT_METRICS + MULTILABELS_METRICS:
yield check_single_sample_multioutput, name
def test_multioutput_number_of_output_differ():
y_true = np.array([[1, 0, 0, 1], [0, 1, 1, 1], [1, 1, 0, 1]])
y_pred = np.array([[0, 0], [1, 0], [0, 0]])
for name in MULTIOUTPUT_METRICS:
metric = ALL_METRICS[name]
assert_raises(ValueError, metric, y_true, y_pred)
def test_multioutput_regression_invariance_to_dimension_shuffling():
# test invariance to dimension shuffling
random_state = check_random_state(0)
y_true = random_state.uniform(0, 2, size=(20, 5))
y_pred = random_state.uniform(0, 2, size=(20, 5))
for name in MULTIOUTPUT_METRICS:
metric = ALL_METRICS[name]
error = metric(y_true, y_pred)
for _ in range(3):
perm = random_state.permutation(y_true.shape[1])
assert_almost_equal(metric(y_true[:, perm], y_pred[:, perm]),
error,
err_msg="%s is not dimension shuffling "
"invariant" % name)
@ignore_warnings
def test_multilabel_representation_invariance():
# Generate some data
n_classes = 4
n_samples = 50
_, y1 = make_multilabel_classification(n_features=1, n_classes=n_classes,
random_state=0, n_samples=n_samples,
allow_unlabeled=True)
_, y2 = make_multilabel_classification(n_features=1, n_classes=n_classes,
random_state=1, n_samples=n_samples,
allow_unlabeled=True)
# To make sure at least one empty label is present
y1 += [0]*n_classes
y2 += [0]*n_classes
y1_sparse_indicator = sp.coo_matrix(y1)
y2_sparse_indicator = sp.coo_matrix(y2)
for name in MULTILABELS_METRICS:
metric = ALL_METRICS[name]
# XXX cruel hack to work with partial functions
if isinstance(metric, partial):
metric.__module__ = 'tmp'
metric.__name__ = name
measure = metric(y1, y2)
# Check representation invariance
assert_almost_equal(metric(y1_sparse_indicator,
y2_sparse_indicator),
measure,
err_msg="%s failed representation invariance "
"between dense and sparse indicator "
"formats." % name)
def test_raise_value_error_multilabel_sequences():
# make sure the multilabel-sequence format raises ValueError
multilabel_sequences = [
[[0, 1]],
[[1], [2], [0, 1]],
[(), (2), (0, 1)],
[[]],
[()],
np.array([[], [1, 2]], dtype='object')]
for name in MULTILABELS_METRICS:
metric = ALL_METRICS[name]
for seq in multilabel_sequences:
assert_raises(ValueError, metric, seq, seq)
def test_normalize_option_binary_classification(n_samples=20):
# Test in the binary case
random_state = check_random_state(0)
y_true = random_state.randint(0, 2, size=(n_samples, ))
y_pred = random_state.randint(0, 2, size=(n_samples, ))
for name in METRICS_WITH_NORMALIZE_OPTION:
metrics = ALL_METRICS[name]
measure = metrics(y_true, y_pred, normalize=True)
assert_greater(measure, 0,
msg="We failed to test correctly the normalize option")
assert_almost_equal(metrics(y_true, y_pred, normalize=False)
/ n_samples, measure)
def test_normalize_option_multiclasss_classification():
# Test in the multiclass case
random_state = check_random_state(0)
y_true = random_state.randint(0, 4, size=(20, ))
y_pred = random_state.randint(0, 4, size=(20, ))
n_samples = y_true.shape[0]
for name in METRICS_WITH_NORMALIZE_OPTION:
metrics = ALL_METRICS[name]
measure = metrics(y_true, y_pred, normalize=True)
assert_greater(measure, 0,
msg="We failed to test correctly the normalize option")
assert_almost_equal(metrics(y_true, y_pred, normalize=False)
/ n_samples, measure)
def test_normalize_option_multilabel_classification():
# Test in the multilabel case
n_classes = 4
n_samples = 100
# for both random_state 0 and 1, y_true and y_pred has at least one
# unlabelled entry
_, y_true = make_multilabel_classification(n_features=1,
n_classes=n_classes,
random_state=0,
allow_unlabeled=True,
n_samples=n_samples)
_, y_pred = make_multilabel_classification(n_features=1,
n_classes=n_classes,
random_state=1,
allow_unlabeled=True,
n_samples=n_samples)
# To make sure at least one empty label is present
y_true += [0]*n_classes
y_pred += [0]*n_classes
for name in METRICS_WITH_NORMALIZE_OPTION:
metrics = ALL_METRICS[name]
measure = metrics(y_true, y_pred, normalize=True)
assert_greater(measure, 0,
msg="We failed to test correctly the normalize option")
assert_almost_equal(metrics(y_true, y_pred, normalize=False)
/ n_samples, measure,
err_msg="Failed with %s" % name)
@ignore_warnings
def _check_averaging(metric, y_true, y_pred, y_true_binarize, y_pred_binarize,
is_multilabel):
n_samples, n_classes = y_true_binarize.shape
# No averaging
label_measure = metric(y_true, y_pred, average=None)
assert_array_almost_equal(label_measure,
[metric(y_true_binarize[:, i],
y_pred_binarize[:, i])
for i in range(n_classes)])
# Micro measure
micro_measure = metric(y_true, y_pred, average="micro")
assert_almost_equal(micro_measure, metric(y_true_binarize.ravel(),
y_pred_binarize.ravel()))
# Macro measure
macro_measure = metric(y_true, y_pred, average="macro")
assert_almost_equal(macro_measure, np.mean(label_measure))
# Weighted measure
weights = np.sum(y_true_binarize, axis=0, dtype=int)
if np.sum(weights) != 0:
weighted_measure = metric(y_true, y_pred, average="weighted")
assert_almost_equal(weighted_measure, np.average(label_measure,
weights=weights))
else:
weighted_measure = metric(y_true, y_pred, average="weighted")
assert_almost_equal(weighted_measure, 0)
# Sample measure
if is_multilabel:
sample_measure = metric(y_true, y_pred, average="samples")
assert_almost_equal(sample_measure,
np.mean([metric(y_true_binarize[i],
y_pred_binarize[i])
for i in range(n_samples)]))
assert_raises(ValueError, metric, y_true, y_pred, average="unknown")
assert_raises(ValueError, metric, y_true, y_pred, average="garbage")
def check_averaging(name, y_true, y_true_binarize, y_pred, y_pred_binarize,
y_score):
is_multilabel = type_of_target(y_true).startswith("multilabel")
metric = ALL_METRICS[name]
if name in METRICS_WITH_AVERAGING:
_check_averaging(metric, y_true, y_pred, y_true_binarize,
y_pred_binarize, is_multilabel)
elif name in THRESHOLDED_METRICS_WITH_AVERAGING:
_check_averaging(metric, y_true, y_score, y_true_binarize,
y_score, is_multilabel)
else:
raise ValueError("Metric is not recorded as having an average option")
def test_averaging_multiclass(n_samples=50, n_classes=3):
random_state = check_random_state(0)
y_true = random_state.randint(0, n_classes, size=(n_samples, ))
y_pred = random_state.randint(0, n_classes, size=(n_samples, ))
y_score = random_state.uniform(size=(n_samples, n_classes))
lb = LabelBinarizer().fit(y_true)
y_true_binarize = lb.transform(y_true)
y_pred_binarize = lb.transform(y_pred)
for name in METRICS_WITH_AVERAGING:
yield (check_averaging, name, y_true, y_true_binarize, y_pred,
y_pred_binarize, y_score)
def test_averaging_multilabel(n_classes=5, n_samples=40):
_, y = make_multilabel_classification(n_features=1, n_classes=n_classes,
random_state=5, n_samples=n_samples,
allow_unlabeled=False)
y_true = y[:20]
y_pred = y[20:]
y_score = check_random_state(0).normal(size=(20, n_classes))
y_true_binarize = y_true
y_pred_binarize = y_pred
for name in METRICS_WITH_AVERAGING + THRESHOLDED_METRICS_WITH_AVERAGING:
yield (check_averaging, name, y_true, y_true_binarize, y_pred,
y_pred_binarize, y_score)
def test_averaging_multilabel_all_zeroes():
y_true = np.zeros((20, 3))
y_pred = np.zeros((20, 3))
y_score = np.zeros((20, 3))
y_true_binarize = y_true
y_pred_binarize = y_pred
for name in METRICS_WITH_AVERAGING:
yield (check_averaging, name, y_true, y_true_binarize, y_pred,
y_pred_binarize, y_score)
# Test _average_binary_score for weight.sum() == 0
binary_metric = (lambda y_true, y_score, average="macro":
_average_binary_score(
precision_score, y_true, y_score, average))
_check_averaging(binary_metric, y_true, y_pred, y_true_binarize,
y_pred_binarize, is_multilabel=True)
def test_averaging_multilabel_all_ones():
y_true = np.ones((20, 3))
y_pred = np.ones((20, 3))
y_score = np.ones((20, 3))
y_true_binarize = y_true
y_pred_binarize = y_pred
for name in METRICS_WITH_AVERAGING:
yield (check_averaging, name, y_true, y_true_binarize, y_pred,
y_pred_binarize, y_score)
@ignore_warnings
def check_sample_weight_invariance(name, metric, y1, y2):
rng = np.random.RandomState(0)
sample_weight = rng.randint(1, 10, size=len(y1))
# check that unit weights gives the same score as no weight
unweighted_score = metric(y1, y2, sample_weight=None)
assert_almost_equal(
unweighted_score,
metric(y1, y2, sample_weight=np.ones(shape=len(y1))),
err_msg="For %s sample_weight=None is not equivalent to "
"sample_weight=ones" % name)
# check that the weighted and unweighted scores are unequal
weighted_score = metric(y1, y2, sample_weight=sample_weight)
assert_not_equal(
unweighted_score, weighted_score,
msg="Unweighted and weighted scores are unexpectedly "
"equal (%f) for %s" % (weighted_score, name))
# check that sample_weight can be a list
weighted_score_list = metric(y1, y2,
sample_weight=sample_weight.tolist())
assert_almost_equal(
weighted_score, weighted_score_list,
err_msg=("Weighted scores for array and list "
"sample_weight input are not equal (%f != %f) for %s") % (
weighted_score, weighted_score_list, name))
# check that integer weights is the same as repeated samples
repeat_weighted_score = metric(
np.repeat(y1, sample_weight, axis=0),
np.repeat(y2, sample_weight, axis=0), sample_weight=None)
assert_almost_equal(
weighted_score, repeat_weighted_score,
err_msg="Weighting %s is not equal to repeating samples" % name)
# check that ignoring a fraction of the samples is equivalent to setting
# the corresponding weights to zero
sample_weight_subset = sample_weight[1::2]
sample_weight_zeroed = np.copy(sample_weight)
sample_weight_zeroed[::2] = 0
y1_subset = y1[1::2]
y2_subset = y2[1::2]
weighted_score_subset = metric(y1_subset, y2_subset,
sample_weight=sample_weight_subset)
weighted_score_zeroed = metric(y1, y2,
sample_weight=sample_weight_zeroed)
assert_almost_equal(
weighted_score_subset, weighted_score_zeroed,
err_msg=("Zeroing weights does not give the same result as "
"removing the corresponding samples (%f != %f) for %s" %
(weighted_score_zeroed, weighted_score_subset, name)))
if not name.startswith('unnormalized'):
# check that the score is invariant under scaling of the weights by a
# common factor
for scaling in [2, 0.3]:
assert_almost_equal(
weighted_score,
metric(y1, y2, sample_weight=sample_weight * scaling),
err_msg="%s sample_weight is not invariant "
"under scaling" % name)
# Check that if sample_weight.shape[0] != y_true.shape[0], it raised an
# error
assert_raises(Exception, metric, y1, y2,
sample_weight=np.hstack([sample_weight, sample_weight]))
def test_sample_weight_invariance(n_samples=50):
random_state = check_random_state(0)
# binary
random_state = check_random_state(0)
y_true = random_state.randint(0, 2, size=(n_samples, ))
y_pred = random_state.randint(0, 2, size=(n_samples, ))
y_score = random_state.random_sample(size=(n_samples,))
for name in ALL_METRICS:
if (name in METRICS_WITHOUT_SAMPLE_WEIGHT or
name in METRIC_UNDEFINED_BINARY):
continue
metric = ALL_METRICS[name]
if name in THRESHOLDED_METRICS:
yield check_sample_weight_invariance, name, metric, y_true, y_score
else:
yield check_sample_weight_invariance, name, metric, y_true, y_pred
# multiclass
random_state = check_random_state(0)
y_true = random_state.randint(0, 5, size=(n_samples, ))
y_pred = random_state.randint(0, 5, size=(n_samples, ))
y_score = random_state.random_sample(size=(n_samples, 5))
for name in ALL_METRICS:
if (name in METRICS_WITHOUT_SAMPLE_WEIGHT or
name in METRIC_UNDEFINED_BINARY_MULTICLASS):
continue
metric = ALL_METRICS[name]
if name in THRESHOLDED_METRICS:
yield check_sample_weight_invariance, name, metric, y_true, y_score
else:
yield check_sample_weight_invariance, name, metric, y_true, y_pred
# multilabel indicator
_, ya = make_multilabel_classification(n_features=1, n_classes=20,
random_state=0, n_samples=100,
allow_unlabeled=False)
_, yb = make_multilabel_classification(n_features=1, n_classes=20,
random_state=1, n_samples=100,
allow_unlabeled=False)
y_true = np.vstack([ya, yb])
y_pred = np.vstack([ya, ya])
y_score = random_state.randint(1, 4, size=y_true.shape)
for name in (MULTILABELS_METRICS + THRESHOLDED_MULTILABEL_METRICS +
MULTIOUTPUT_METRICS):
if name in METRICS_WITHOUT_SAMPLE_WEIGHT:
continue
metric = ALL_METRICS[name]
if name in THRESHOLDED_METRICS:
yield (check_sample_weight_invariance, name, metric, y_true,
y_score)
else:
yield (check_sample_weight_invariance, name, metric, y_true,
y_pred)
def test_no_averaging_labels():
# test labels argument when not using averaging
# in multi-class and multi-label cases
y_true_multilabel = np.array([[1, 1, 0, 0], [1, 1, 0, 0]])
y_pred_multilabel = np.array([[0, 0, 1, 1], [0, 1, 1, 0]])
y_true_multiclass = np.array([0, 1, 2])
y_pred_multiclass = np.array([0, 2, 3])
labels = np.array([3, 0, 1, 2])
_, inverse_labels = np.unique(labels, return_inverse=True)
for name in METRICS_WITH_AVERAGING:
for y_true, y_pred in [[y_true_multiclass, y_pred_multiclass],
[y_true_multilabel, y_pred_multilabel]]:
if name not in MULTILABELS_METRICS and y_pred.shape[1] > 0:
continue
metric = ALL_METRICS[name]
score_labels = metric(y_true, y_pred, labels=labels, average=None)
score = metric(y_true, y_pred, average=None)
assert_array_equal(score_labels, score[inverse_labels])
| bsd-3-clause |
asarnow/pyem | csparc2star.py | 1 | 5818 | #!/usr/bin/env python
# Copyright (C) 2016 Daniel Asarnow
# University of California, San Francisco
#
# Simple program for parsing and altering Relion .star files.
# See help text and README file for more information.
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
from __future__ import print_function
import argparse
import json
import logging
import sys
import numpy as np
import pandas as pd
from glob import glob
from pyem import metadata
from pyem import star
def main(args):
log = logging.getLogger('root')
hdlr = logging.StreamHandler(sys.stdout)
log.addHandler(hdlr)
log.setLevel(logging.getLevelName(args.loglevel.upper()))
if args.input[0].endswith(".cs"):
log.debug("Detected CryoSPARC 2+ .cs file")
cs = np.load(args.input[0])
try:
df = metadata.parse_cryosparc_2_cs(cs, passthroughs=args.input[1:], minphic=args.minphic,
boxsize=args.boxsize, swapxy=args.swapxy,
invertx=args.invertx, inverty=args.inverty)
except (KeyError, ValueError) as e:
log.error(e, exc_info=True)
log.error("Required fields could not be mapped. Are you using the right input file(s)?")
return 1
else:
log.debug("Detected CryoSPARC 0.6.5 .csv file")
if len(args.input) > 1:
log.error("Only one file at a time supported for CryoSPARC 0.6.5 .csv format")
return 1
meta = metadata.parse_cryosparc_065_csv(args.input[0]) # Read cryosparc metadata file.
df = metadata.cryosparc_065_csv2star(meta, args.minphic)
if args.cls is not None:
df = star.select_classes(df, args.cls)
if args.copy_micrograph_coordinates is not None:
df = star.augment_star_ucsf(df, inplace=True)
coord_star = pd.concat(
(star.parse_star(inp, keep_index=False, augment=True) for inp in
glob(args.copy_micrograph_coordinates)), join="inner")
key = star.merge_key(df, coord_star)
log.debug("Coordinates merge key: %s" % key)
if args.cached or key == star.Relion.IMAGE_NAME:
fields = star.Relion.MICROGRAPH_COORDS
else:
fields = star.Relion.MICROGRAPH_COORDS + [star.UCSF.IMAGE_INDEX, star.UCSF.IMAGE_PATH]
df = star.smart_merge(df, coord_star, fields=fields, key=key)
star.simplify_star_ucsf(df)
if args.micrograph_path is not None:
df = star.replace_micrograph_path(df, args.micrograph_path, inplace=True)
if args.transform is not None:
r = np.array(json.loads(args.transform))
df = star.transform_star(df, r, inplace=True)
df = star.check_defaults(df, inplace=True)
if args.relion2:
df = star.remove_new_relion31(df, inplace=True)
star.write_star(args.output, df, resort_records=True, optics=False)
else:
df = star.remove_deprecated_relion2(df, inplace=True)
star.write_star(args.output, df, resort_records=True, optics=True)
log.info("Output fields: %s" % ", ".join(df.columns))
return 0
if __name__ == "__main__":
parser = argparse.ArgumentParser()
parser.add_argument("input", help="Cryosparc metadata .csv (v0.6.5) or .cs (v2+) files", nargs="*")
parser.add_argument("output", help="Output .star file")
parser.add_argument("--boxsize", help="Cryosparc refinement box size (if different from particles)", type=float)
# parser.add_argument("--passthrough", "-p", help="List file required for some Cryosparc 2+ job types")
parser.add_argument("--class", help="Keep this class in output, may be passed multiple times",
action="append", type=int, dest="cls")
parser.add_argument("--minphic", help="Minimum posterior probability for class assignment", type=float, default=0)
parser.add_argument("--stack-path", help="Path to single particle stack", type=str)
parser.add_argument("--micrograph-path", help="Replacement path for micrographs")
parser.add_argument("--copy-micrograph-coordinates",
help="Source for micrograph paths and particle coordinates (file or quoted glob)",
type=str)
parser.add_argument("--swapxy",
help="Swap X and Y axes when converting particle coordinates from normalized to absolute",
action="store_true")
parser.add_argument("--invertx", help="Invert particle coordinate X axis", action="store_true")
parser.add_argument("--inverty", help="Invert particle coordinate Y axis", action="store_true")
parser.add_argument("--cached", help="Keep paths from the Cryosparc 2+ cache when merging coordinates",
action="store_true")
parser.add_argument("--transform",
help="Apply rotation matrix or 3x4 rotation plus translation matrix to particles (Numpy format)",
type=str)
parser.add_argument("--relion2", "-r2", help="Relion 2 compatible outputs", action="store_true")
parser.add_argument("--loglevel", "-l", type=str, default="WARNING", help="Logging level and debug output")
sys.exit(main(parser.parse_args()))
| gpl-3.0 |
mbayon/TFG-MachineLearning | vbig/lib/python2.7/site-packages/sklearn/datasets/tests/test_lfw.py | 42 | 7253 | """This test for the LFW require medium-size data downloading and processing
If the data has not been already downloaded by running the examples,
the tests won't run (skipped).
If the test are run, the first execution will be long (typically a bit
more than a couple of minutes) but as the dataset loader is leveraging
joblib, successive runs will be fast (less than 200ms).
"""
import random
import os
import shutil
import tempfile
import numpy as np
from sklearn.externals import six
try:
try:
from scipy.misc import imsave
except ImportError:
from scipy.misc.pilutil import imsave
except ImportError:
imsave = None
from sklearn.datasets import fetch_lfw_pairs
from sklearn.datasets import fetch_lfw_people
from sklearn.utils.testing import assert_array_equal
from sklearn.utils.testing import assert_equal
from sklearn.utils.testing import SkipTest
from sklearn.utils.testing import raises
SCIKIT_LEARN_DATA = tempfile.mkdtemp(prefix="scikit_learn_lfw_test_")
SCIKIT_LEARN_EMPTY_DATA = tempfile.mkdtemp(prefix="scikit_learn_empty_test_")
LFW_HOME = os.path.join(SCIKIT_LEARN_DATA, 'lfw_home')
FAKE_NAMES = [
'Abdelatif_Smith',
'Abhati_Kepler',
'Camara_Alvaro',
'Chen_Dupont',
'John_Lee',
'Lin_Bauman',
'Onur_Lopez',
]
def setup_module():
"""Test fixture run once and common to all tests of this module"""
if imsave is None:
raise SkipTest("PIL not installed.")
if not os.path.exists(LFW_HOME):
os.makedirs(LFW_HOME)
random_state = random.Random(42)
np_rng = np.random.RandomState(42)
# generate some random jpeg files for each person
counts = {}
for name in FAKE_NAMES:
folder_name = os.path.join(LFW_HOME, 'lfw_funneled', name)
if not os.path.exists(folder_name):
os.makedirs(folder_name)
n_faces = np_rng.randint(1, 5)
counts[name] = n_faces
for i in range(n_faces):
file_path = os.path.join(folder_name, name + '_%04d.jpg' % i)
uniface = np_rng.randint(0, 255, size=(250, 250, 3))
try:
imsave(file_path, uniface)
except ImportError:
raise SkipTest("PIL not installed")
# add some random file pollution to test robustness
with open(os.path.join(LFW_HOME, 'lfw_funneled', '.test.swp'), 'wb') as f:
f.write(six.b('Text file to be ignored by the dataset loader.'))
# generate some pairing metadata files using the same format as LFW
with open(os.path.join(LFW_HOME, 'pairsDevTrain.txt'), 'wb') as f:
f.write(six.b("10\n"))
more_than_two = [name for name, count in six.iteritems(counts)
if count >= 2]
for i in range(5):
name = random_state.choice(more_than_two)
first, second = random_state.sample(range(counts[name]), 2)
f.write(six.b('%s\t%d\t%d\n' % (name, first, second)))
for i in range(5):
first_name, second_name = random_state.sample(FAKE_NAMES, 2)
first_index = random_state.choice(np.arange(counts[first_name]))
second_index = random_state.choice(np.arange(counts[second_name]))
f.write(six.b('%s\t%d\t%s\t%d\n' % (first_name, first_index,
second_name, second_index)))
with open(os.path.join(LFW_HOME, 'pairsDevTest.txt'), 'wb') as f:
f.write(six.b("Fake place holder that won't be tested"))
with open(os.path.join(LFW_HOME, 'pairs.txt'), 'wb') as f:
f.write(six.b("Fake place holder that won't be tested"))
def teardown_module():
"""Test fixture (clean up) run once after all tests of this module"""
if os.path.isdir(SCIKIT_LEARN_DATA):
shutil.rmtree(SCIKIT_LEARN_DATA)
if os.path.isdir(SCIKIT_LEARN_EMPTY_DATA):
shutil.rmtree(SCIKIT_LEARN_EMPTY_DATA)
@raises(IOError)
def test_load_empty_lfw_people():
fetch_lfw_people(data_home=SCIKIT_LEARN_EMPTY_DATA,
download_if_missing=False)
def test_load_fake_lfw_people():
lfw_people = fetch_lfw_people(data_home=SCIKIT_LEARN_DATA,
min_faces_per_person=3,
download_if_missing=False)
# The data is croped around the center as a rectangular bounding box
# around the face. Colors are converted to gray levels:
assert_equal(lfw_people.images.shape, (10, 62, 47))
assert_equal(lfw_people.data.shape, (10, 2914))
# the target is array of person integer ids
assert_array_equal(lfw_people.target, [2, 0, 1, 0, 2, 0, 2, 1, 1, 2])
# names of the persons can be found using the target_names array
expected_classes = ['Abdelatif Smith', 'Abhati Kepler', 'Onur Lopez']
assert_array_equal(lfw_people.target_names, expected_classes)
# It is possible to ask for the original data without any croping or color
# conversion and not limit on the number of picture per person
lfw_people = fetch_lfw_people(data_home=SCIKIT_LEARN_DATA, resize=None,
slice_=None, color=True,
download_if_missing=False)
assert_equal(lfw_people.images.shape, (17, 250, 250, 3))
# the ids and class names are the same as previously
assert_array_equal(lfw_people.target,
[0, 0, 1, 6, 5, 6, 3, 6, 0, 3, 6, 1, 2, 4, 5, 1, 2])
assert_array_equal(lfw_people.target_names,
['Abdelatif Smith', 'Abhati Kepler', 'Camara Alvaro',
'Chen Dupont', 'John Lee', 'Lin Bauman', 'Onur Lopez'])
@raises(ValueError)
def test_load_fake_lfw_people_too_restrictive():
fetch_lfw_people(data_home=SCIKIT_LEARN_DATA, min_faces_per_person=100,
download_if_missing=False)
@raises(IOError)
def test_load_empty_lfw_pairs():
fetch_lfw_pairs(data_home=SCIKIT_LEARN_EMPTY_DATA,
download_if_missing=False)
def test_load_fake_lfw_pairs():
lfw_pairs_train = fetch_lfw_pairs(data_home=SCIKIT_LEARN_DATA,
download_if_missing=False)
# The data is croped around the center as a rectangular bounding box
# around the face. Colors are converted to gray levels:
assert_equal(lfw_pairs_train.pairs.shape, (10, 2, 62, 47))
# the target is whether the person is the same or not
assert_array_equal(lfw_pairs_train.target, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0])
# names of the persons can be found using the target_names array
expected_classes = ['Different persons', 'Same person']
assert_array_equal(lfw_pairs_train.target_names, expected_classes)
# It is possible to ask for the original data without any croping or color
# conversion
lfw_pairs_train = fetch_lfw_pairs(data_home=SCIKIT_LEARN_DATA, resize=None,
slice_=None, color=True,
download_if_missing=False)
assert_equal(lfw_pairs_train.pairs.shape, (10, 2, 250, 250, 3))
# the ids and class names are the same as previously
assert_array_equal(lfw_pairs_train.target, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0])
assert_array_equal(lfw_pairs_train.target_names, expected_classes)
| mit |
rahul-c1/scikit-learn | sklearn/utils/arpack.py | 31 | 64776 | """
This contains a copy of the future version of
scipy.sparse.linalg.eigen.arpack.eigsh
It's an upgraded wrapper of the ARPACK library which
allows the use of shift-invert mode for symmetric matrices.
Find a few eigenvectors and eigenvalues of a matrix.
Uses ARPACK: http://www.caam.rice.edu/software/ARPACK/
"""
# Wrapper implementation notes
#
# ARPACK Entry Points
# -------------------
# The entry points to ARPACK are
# - (s,d)seupd : single and double precision symmetric matrix
# - (s,d,c,z)neupd: single,double,complex,double complex general matrix
# This wrapper puts the *neupd (general matrix) interfaces in eigs()
# and the *seupd (symmetric matrix) in eigsh().
# There is no Hermetian complex/double complex interface.
# To find eigenvalues of a Hermetian matrix you
# must use eigs() and not eigsh()
# It might be desirable to handle the Hermetian case differently
# and, for example, return real eigenvalues.
# Number of eigenvalues returned and complex eigenvalues
# ------------------------------------------------------
# The ARPACK nonsymmetric real and double interface (s,d)naupd return
# eigenvalues and eigenvectors in real (float,double) arrays.
# Since the eigenvalues and eigenvectors are, in general, complex
# ARPACK puts the real and imaginary parts in consecutive entries
# in real-valued arrays. This wrapper puts the real entries
# into complex data types and attempts to return the requested eigenvalues
# and eigenvectors.
# Solver modes
# ------------
# ARPACK and handle shifted and shift-inverse computations
# for eigenvalues by providing a shift (sigma) and a solver.
__docformat__ = "restructuredtext en"
__all__ = ['eigs', 'eigsh', 'svds', 'ArpackError', 'ArpackNoConvergence']
import warnings
from scipy.sparse.linalg.eigen.arpack import _arpack
import numpy as np
from scipy.sparse.linalg.interface import aslinearoperator, LinearOperator
from scipy.sparse import identity, isspmatrix, isspmatrix_csr
from scipy.linalg import lu_factor, lu_solve
from scipy.sparse.sputils import isdense
from scipy.sparse.linalg import gmres, splu
import scipy
from distutils.version import LooseVersion
_type_conv = {'f': 's', 'd': 'd', 'F': 'c', 'D': 'z'}
_ndigits = {'f': 5, 'd': 12, 'F': 5, 'D': 12}
DNAUPD_ERRORS = {
0: "Normal exit.",
1: "Maximum number of iterations taken. "
"All possible eigenvalues of OP has been found. IPARAM(5) "
"returns the number of wanted converged Ritz values.",
2: "No longer an informational error. Deprecated starting "
"with release 2 of ARPACK.",
3: "No shifts could be applied during a cycle of the "
"Implicitly restarted Arnoldi iteration. One possibility "
"is to increase the size of NCV relative to NEV. ",
-1: "N must be positive.",
-2: "NEV must be positive.",
-3: "NCV-NEV >= 2 and less than or equal to N.",
-4: "The maximum number of Arnoldi update iterations allowed "
"must be greater than zero.",
-5: " WHICH must be one of 'LM', 'SM', 'LR', 'SR', 'LI', 'SI'",
-6: "BMAT must be one of 'I' or 'G'.",
-7: "Length of private work array WORKL is not sufficient.",
-8: "Error return from LAPACK eigenvalue calculation;",
-9: "Starting vector is zero.",
-10: "IPARAM(7) must be 1,2,3,4.",
-11: "IPARAM(7) = 1 and BMAT = 'G' are incompatible.",
-12: "IPARAM(1) must be equal to 0 or 1.",
-13: "NEV and WHICH = 'BE' are incompatible.",
-9999: "Could not build an Arnoldi factorization. "
"IPARAM(5) returns the size of the current Arnoldi "
"factorization. The user is advised to check that "
"enough workspace and array storage has been allocated."
}
SNAUPD_ERRORS = DNAUPD_ERRORS
ZNAUPD_ERRORS = DNAUPD_ERRORS.copy()
ZNAUPD_ERRORS[-10] = "IPARAM(7) must be 1,2,3."
CNAUPD_ERRORS = ZNAUPD_ERRORS
DSAUPD_ERRORS = {
0: "Normal exit.",
1: "Maximum number of iterations taken. "
"All possible eigenvalues of OP has been found.",
2: "No longer an informational error. Deprecated starting with "
"release 2 of ARPACK.",
3: "No shifts could be applied during a cycle of the Implicitly "
"restarted Arnoldi iteration. One possibility is to increase "
"the size of NCV relative to NEV. ",
-1: "N must be positive.",
-2: "NEV must be positive.",
-3: "NCV must be greater than NEV and less than or equal to N.",
-4: "The maximum number of Arnoldi update iterations allowed "
"must be greater than zero.",
-5: "WHICH must be one of 'LM', 'SM', 'LA', 'SA' or 'BE'.",
-6: "BMAT must be one of 'I' or 'G'.",
-7: "Length of private work array WORKL is not sufficient.",
-8: "Error return from trid. eigenvalue calculation; "
"Informational error from LAPACK routine dsteqr .",
-9: "Starting vector is zero.",
-10: "IPARAM(7) must be 1,2,3,4,5.",
-11: "IPARAM(7) = 1 and BMAT = 'G' are incompatible.",
-12: "IPARAM(1) must be equal to 0 or 1.",
-13: "NEV and WHICH = 'BE' are incompatible. ",
-9999: "Could not build an Arnoldi factorization. "
"IPARAM(5) returns the size of the current Arnoldi "
"factorization. The user is advised to check that "
"enough workspace and array storage has been allocated.",
}
SSAUPD_ERRORS = DSAUPD_ERRORS
DNEUPD_ERRORS = {
0: "Normal exit.",
1: "The Schur form computed by LAPACK routine dlahqr "
"could not be reordered by LAPACK routine dtrsen. "
"Re-enter subroutine dneupd with IPARAM(5)NCV and "
"increase the size of the arrays DR and DI to have "
"dimension at least dimension NCV and allocate at least NCV "
"columns for Z. NOTE: Not necessary if Z and V share "
"the same space. Please notify the authors if this error "
"occurs.",
-1: "N must be positive.",
-2: "NEV must be positive.",
-3: "NCV-NEV >= 2 and less than or equal to N.",
-5: "WHICH must be one of 'LM', 'SM', 'LR', 'SR', 'LI', 'SI'",
-6: "BMAT must be one of 'I' or 'G'.",
-7: "Length of private work WORKL array is not sufficient.",
-8: "Error return from calculation of a real Schur form. "
"Informational error from LAPACK routine dlahqr .",
-9: "Error return from calculation of eigenvectors. "
"Informational error from LAPACK routine dtrevc.",
-10: "IPARAM(7) must be 1,2,3,4.",
-11: "IPARAM(7) = 1 and BMAT = 'G' are incompatible.",
-12: "HOWMNY = 'S' not yet implemented",
-13: "HOWMNY must be one of 'A' or 'P' if RVEC = .true.",
-14: "DNAUPD did not find any eigenvalues to sufficient "
"accuracy.",
-15: "DNEUPD got a different count of the number of converged "
"Ritz values than DNAUPD got. This indicates the user "
"probably made an error in passing data from DNAUPD to "
"DNEUPD or that the data was modified before entering "
"DNEUPD",
}
SNEUPD_ERRORS = DNEUPD_ERRORS.copy()
SNEUPD_ERRORS[1] = ("The Schur form computed by LAPACK routine slahqr "
"could not be reordered by LAPACK routine strsen . "
"Re-enter subroutine dneupd with IPARAM(5)=NCV and "
"increase the size of the arrays DR and DI to have "
"dimension at least dimension NCV and allocate at least "
"NCV columns for Z. NOTE: Not necessary if Z and V share "
"the same space. Please notify the authors if this error "
"occurs.")
SNEUPD_ERRORS[-14] = ("SNAUPD did not find any eigenvalues to sufficient "
"accuracy.")
SNEUPD_ERRORS[-15] = ("SNEUPD got a different count of the number of "
"converged Ritz values than SNAUPD got. This indicates "
"the user probably made an error in passing data from "
"SNAUPD to SNEUPD or that the data was modified before "
"entering SNEUPD")
ZNEUPD_ERRORS = {0: "Normal exit.",
1: "The Schur form computed by LAPACK routine csheqr "
"could not be reordered by LAPACK routine ztrsen. "
"Re-enter subroutine zneupd with IPARAM(5)=NCV and "
"increase the size of the array D to have "
"dimension at least dimension NCV and allocate at least "
"NCV columns for Z. NOTE: Not necessary if Z and V share "
"the same space. Please notify the authors if this error "
"occurs.",
-1: "N must be positive.",
-2: "NEV must be positive.",
-3: "NCV-NEV >= 1 and less than or equal to N.",
-5: "WHICH must be one of 'LM', 'SM', 'LR', 'SR', 'LI', 'SI'",
-6: "BMAT must be one of 'I' or 'G'.",
-7: "Length of private work WORKL array is not sufficient.",
-8: "Error return from LAPACK eigenvalue calculation. "
"This should never happened.",
-9: "Error return from calculation of eigenvectors. "
"Informational error from LAPACK routine ztrevc.",
-10: "IPARAM(7) must be 1,2,3",
-11: "IPARAM(7) = 1 and BMAT = 'G' are incompatible.",
-12: "HOWMNY = 'S' not yet implemented",
-13: "HOWMNY must be one of 'A' or 'P' if RVEC = .true.",
-14: "ZNAUPD did not find any eigenvalues to sufficient "
"accuracy.",
-15: "ZNEUPD got a different count of the number of "
"converged Ritz values than ZNAUPD got. This "
"indicates the user probably made an error in passing "
"data from ZNAUPD to ZNEUPD or that the data was "
"modified before entering ZNEUPD"}
CNEUPD_ERRORS = ZNEUPD_ERRORS.copy()
CNEUPD_ERRORS[-14] = ("CNAUPD did not find any eigenvalues to sufficient "
"accuracy.")
CNEUPD_ERRORS[-15] = ("CNEUPD got a different count of the number of "
"converged Ritz values than CNAUPD got. This indicates "
"the user probably made an error in passing data from "
"CNAUPD to CNEUPD or that the data was modified before "
"entering CNEUPD")
DSEUPD_ERRORS = {
0: "Normal exit.",
-1: "N must be positive.",
-2: "NEV must be positive.",
-3: "NCV must be greater than NEV and less than or equal to N.",
-5: "WHICH must be one of 'LM', 'SM', 'LA', 'SA' or 'BE'.",
-6: "BMAT must be one of 'I' or 'G'.",
-7: "Length of private work WORKL array is not sufficient.",
-8: ("Error return from trid. eigenvalue calculation; "
"Information error from LAPACK routine dsteqr."),
-9: "Starting vector is zero.",
-10: "IPARAM(7) must be 1,2,3,4,5.",
-11: "IPARAM(7) = 1 and BMAT = 'G' are incompatible.",
-12: "NEV and WHICH = 'BE' are incompatible.",
-14: "DSAUPD did not find any eigenvalues to sufficient accuracy.",
-15: "HOWMNY must be one of 'A' or 'S' if RVEC = .true.",
-16: "HOWMNY = 'S' not yet implemented",
-17: ("DSEUPD got a different count of the number of converged "
"Ritz values than DSAUPD got. This indicates the user "
"probably made an error in passing data from DSAUPD to "
"DSEUPD or that the data was modified before entering "
"DSEUPD.")
}
SSEUPD_ERRORS = DSEUPD_ERRORS.copy()
SSEUPD_ERRORS[-14] = ("SSAUPD did not find any eigenvalues "
"to sufficient accuracy.")
SSEUPD_ERRORS[-17] = ("SSEUPD got a different count of the number of "
"converged "
"Ritz values than SSAUPD got. This indicates the user "
"probably made an error in passing data from SSAUPD to "
"SSEUPD or that the data was modified before entering "
"SSEUPD.")
_SAUPD_ERRORS = {'d': DSAUPD_ERRORS,
's': SSAUPD_ERRORS}
_NAUPD_ERRORS = {'d': DNAUPD_ERRORS,
's': SNAUPD_ERRORS,
'z': ZNAUPD_ERRORS,
'c': CNAUPD_ERRORS}
_SEUPD_ERRORS = {'d': DSEUPD_ERRORS,
's': SSEUPD_ERRORS}
_NEUPD_ERRORS = {'d': DNEUPD_ERRORS,
's': SNEUPD_ERRORS,
'z': ZNEUPD_ERRORS,
'c': CNEUPD_ERRORS}
# accepted values of parameter WHICH in _SEUPD
_SEUPD_WHICH = ['LM', 'SM', 'LA', 'SA', 'BE']
# accepted values of parameter WHICH in _NAUPD
_NEUPD_WHICH = ['LM', 'SM', 'LR', 'SR', 'LI', 'SI']
class ArpackError(RuntimeError):
"""
ARPACK error
"""
def __init__(self, info, infodict=_NAUPD_ERRORS):
msg = infodict.get(info, "Unknown error")
RuntimeError.__init__(self, "ARPACK error %d: %s" % (info, msg))
class ArpackNoConvergence(ArpackError):
"""
ARPACK iteration did not converge
Attributes
----------
eigenvalues : ndarray
Partial result. Converged eigenvalues.
eigenvectors : ndarray
Partial result. Converged eigenvectors.
"""
def __init__(self, msg, eigenvalues, eigenvectors):
ArpackError.__init__(self, -1, {-1: msg})
self.eigenvalues = eigenvalues
self.eigenvectors = eigenvectors
class _ArpackParams(object):
def __init__(self, n, k, tp, mode=1, sigma=None,
ncv=None, v0=None, maxiter=None, which="LM", tol=0):
if k <= 0:
raise ValueError("k must be positive, k=%d" % k)
if maxiter is None:
maxiter = n * 10
if maxiter <= 0:
raise ValueError("maxiter must be positive, maxiter=%d" % maxiter)
if tp not in 'fdFD':
raise ValueError("matrix type must be 'f', 'd', 'F', or 'D'")
if v0 is not None:
# ARPACK overwrites its initial resid, make a copy
self.resid = np.array(v0, copy=True)
info = 1
else:
self.resid = np.zeros(n, tp)
info = 0
if sigma is None:
#sigma not used
self.sigma = 0
else:
self.sigma = sigma
if ncv is None:
ncv = 2 * k + 1
ncv = min(ncv, n)
self.v = np.zeros((n, ncv), tp) # holds Ritz vectors
self.iparam = np.zeros(11, "int")
# set solver mode and parameters
ishfts = 1
self.mode = mode
self.iparam[0] = ishfts
self.iparam[2] = maxiter
self.iparam[3] = 1
self.iparam[6] = mode
self.n = n
self.tol = tol
self.k = k
self.maxiter = maxiter
self.ncv = ncv
self.which = which
self.tp = tp
self.info = info
self.converged = False
self.ido = 0
def _raise_no_convergence(self):
msg = "No convergence (%d iterations, %d/%d eigenvectors converged)"
k_ok = self.iparam[4]
num_iter = self.iparam[2]
try:
ev, vec = self.extract(True)
except ArpackError as err:
msg = "%s [%s]" % (msg, err)
ev = np.zeros((0,))
vec = np.zeros((self.n, 0))
k_ok = 0
raise ArpackNoConvergence(msg % (num_iter, k_ok, self.k), ev, vec)
class _SymmetricArpackParams(_ArpackParams):
def __init__(self, n, k, tp, matvec, mode=1, M_matvec=None,
Minv_matvec=None, sigma=None,
ncv=None, v0=None, maxiter=None, which="LM", tol=0):
# The following modes are supported:
# mode = 1:
# Solve the standard eigenvalue problem:
# A*x = lambda*x :
# A - symmetric
# Arguments should be
# matvec = left multiplication by A
# M_matvec = None [not used]
# Minv_matvec = None [not used]
#
# mode = 2:
# Solve the general eigenvalue problem:
# A*x = lambda*M*x
# A - symmetric
# M - symmetric positive definite
# Arguments should be
# matvec = left multiplication by A
# M_matvec = left multiplication by M
# Minv_matvec = left multiplication by M^-1
#
# mode = 3:
# Solve the general eigenvalue problem in shift-invert mode:
# A*x = lambda*M*x
# A - symmetric
# M - symmetric positive semi-definite
# Arguments should be
# matvec = None [not used]
# M_matvec = left multiplication by M
# or None, if M is the identity
# Minv_matvec = left multiplication by [A-sigma*M]^-1
#
# mode = 4:
# Solve the general eigenvalue problem in Buckling mode:
# A*x = lambda*AG*x
# A - symmetric positive semi-definite
# AG - symmetric indefinite
# Arguments should be
# matvec = left multiplication by A
# M_matvec = None [not used]
# Minv_matvec = left multiplication by [A-sigma*AG]^-1
#
# mode = 5:
# Solve the general eigenvalue problem in Cayley-transformed mode:
# A*x = lambda*M*x
# A - symmetric
# M - symmetric positive semi-definite
# Arguments should be
# matvec = left multiplication by A
# M_matvec = left multiplication by M
# or None, if M is the identity
# Minv_matvec = left multiplication by [A-sigma*M]^-1
if mode == 1:
if matvec is None:
raise ValueError("matvec must be specified for mode=1")
if M_matvec is not None:
raise ValueError("M_matvec cannot be specified for mode=1")
if Minv_matvec is not None:
raise ValueError("Minv_matvec cannot be specified for mode=1")
self.OP = matvec
self.B = lambda x: x
self.bmat = 'I'
elif mode == 2:
if matvec is None:
raise ValueError("matvec must be specified for mode=2")
if M_matvec is None:
raise ValueError("M_matvec must be specified for mode=2")
if Minv_matvec is None:
raise ValueError("Minv_matvec must be specified for mode=2")
self.OP = lambda x: Minv_matvec(matvec(x))
self.OPa = Minv_matvec
self.OPb = matvec
self.B = M_matvec
self.bmat = 'G'
elif mode == 3:
if matvec is not None:
raise ValueError("matvec must not be specified for mode=3")
if Minv_matvec is None:
raise ValueError("Minv_matvec must be specified for mode=3")
if M_matvec is None:
self.OP = Minv_matvec
self.OPa = Minv_matvec
self.B = lambda x: x
self.bmat = 'I'
else:
self.OP = lambda x: Minv_matvec(M_matvec(x))
self.OPa = Minv_matvec
self.B = M_matvec
self.bmat = 'G'
elif mode == 4:
if matvec is None:
raise ValueError("matvec must be specified for mode=4")
if M_matvec is not None:
raise ValueError("M_matvec must not be specified for mode=4")
if Minv_matvec is None:
raise ValueError("Minv_matvec must be specified for mode=4")
self.OPa = Minv_matvec
self.OP = lambda x: self.OPa(matvec(x))
self.B = matvec
self.bmat = 'G'
elif mode == 5:
if matvec is None:
raise ValueError("matvec must be specified for mode=5")
if Minv_matvec is None:
raise ValueError("Minv_matvec must be specified for mode=5")
self.OPa = Minv_matvec
self.A_matvec = matvec
if M_matvec is None:
self.OP = lambda x: Minv_matvec(matvec(x) + sigma * x)
self.B = lambda x: x
self.bmat = 'I'
else:
self.OP = lambda x: Minv_matvec(matvec(x)
+ sigma * M_matvec(x))
self.B = M_matvec
self.bmat = 'G'
else:
raise ValueError("mode=%i not implemented" % mode)
if which not in _SEUPD_WHICH:
raise ValueError("which must be one of %s"
% ' '.join(_SEUPD_WHICH))
if k >= n:
raise ValueError("k must be less than rank(A), k=%d" % k)
_ArpackParams.__init__(self, n, k, tp, mode, sigma,
ncv, v0, maxiter, which, tol)
if self.ncv > n or self.ncv <= k:
raise ValueError("ncv must be k<ncv<=n, ncv=%s" % self.ncv)
self.workd = np.zeros(3 * n, self.tp)
self.workl = np.zeros(self.ncv * (self.ncv + 8), self.tp)
ltr = _type_conv[self.tp]
if ltr not in ["s", "d"]:
raise ValueError("Input matrix is not real-valued.")
self._arpack_solver = _arpack.__dict__[ltr + 'saupd']
self._arpack_extract = _arpack.__dict__[ltr + 'seupd']
self.iterate_infodict = _SAUPD_ERRORS[ltr]
self.extract_infodict = _SEUPD_ERRORS[ltr]
self.ipntr = np.zeros(11, "int")
def iterate(self):
self.ido, self.resid, self.v, self.iparam, self.ipntr, self.info = \
self._arpack_solver(self.ido, self.bmat, self.which, self.k,
self.tol, self.resid, self.v, self.iparam,
self.ipntr, self.workd, self.workl, self.info)
xslice = slice(self.ipntr[0] - 1, self.ipntr[0] - 1 + self.n)
yslice = slice(self.ipntr[1] - 1, self.ipntr[1] - 1 + self.n)
if self.ido == -1:
# initialization
self.workd[yslice] = self.OP(self.workd[xslice])
elif self.ido == 1:
# compute y = Op*x
if self.mode == 1:
self.workd[yslice] = self.OP(self.workd[xslice])
elif self.mode == 2:
self.workd[xslice] = self.OPb(self.workd[xslice])
self.workd[yslice] = self.OPa(self.workd[xslice])
elif self.mode == 5:
Bxslice = slice(self.ipntr[2] - 1, self.ipntr[2] - 1 + self.n)
Ax = self.A_matvec(self.workd[xslice])
self.workd[yslice] = self.OPa(Ax + (self.sigma *
self.workd[Bxslice]))
else:
Bxslice = slice(self.ipntr[2] - 1, self.ipntr[2] - 1 + self.n)
self.workd[yslice] = self.OPa(self.workd[Bxslice])
elif self.ido == 2:
self.workd[yslice] = self.B(self.workd[xslice])
elif self.ido == 3:
raise ValueError("ARPACK requested user shifts. Assure ISHIFT==0")
else:
self.converged = True
if self.info == 0:
pass
elif self.info == 1:
self._raise_no_convergence()
else:
raise ArpackError(self.info, infodict=self.iterate_infodict)
def extract(self, return_eigenvectors):
rvec = return_eigenvectors
ierr = 0
howmny = 'A' # return all eigenvectors
sselect = np.zeros(self.ncv, 'int') # unused
d, z, ierr = self._arpack_extract(rvec, howmny, sselect, self.sigma,
self.bmat, self.which, self.k,
self.tol, self.resid, self.v,
self.iparam[0:7], self.ipntr,
self.workd[0:2 * self.n],
self.workl, ierr)
if ierr != 0:
raise ArpackError(ierr, infodict=self.extract_infodict)
k_ok = self.iparam[4]
d = d[:k_ok]
z = z[:, :k_ok]
if return_eigenvectors:
return d, z
else:
return d
class _UnsymmetricArpackParams(_ArpackParams):
def __init__(self, n, k, tp, matvec, mode=1, M_matvec=None,
Minv_matvec=None, sigma=None,
ncv=None, v0=None, maxiter=None, which="LM", tol=0):
# The following modes are supported:
# mode = 1:
# Solve the standard eigenvalue problem:
# A*x = lambda*x
# A - square matrix
# Arguments should be
# matvec = left multiplication by A
# M_matvec = None [not used]
# Minv_matvec = None [not used]
#
# mode = 2:
# Solve the generalized eigenvalue problem:
# A*x = lambda*M*x
# A - square matrix
# M - symmetric, positive semi-definite
# Arguments should be
# matvec = left multiplication by A
# M_matvec = left multiplication by M
# Minv_matvec = left multiplication by M^-1
#
# mode = 3,4:
# Solve the general eigenvalue problem in shift-invert mode:
# A*x = lambda*M*x
# A - square matrix
# M - symmetric, positive semi-definite
# Arguments should be
# matvec = None [not used]
# M_matvec = left multiplication by M
# or None, if M is the identity
# Minv_matvec = left multiplication by [A-sigma*M]^-1
# if A is real and mode==3, use the real part of Minv_matvec
# if A is real and mode==4, use the imag part of Minv_matvec
# if A is complex and mode==3,
# use real and imag parts of Minv_matvec
if mode == 1:
if matvec is None:
raise ValueError("matvec must be specified for mode=1")
if M_matvec is not None:
raise ValueError("M_matvec cannot be specified for mode=1")
if Minv_matvec is not None:
raise ValueError("Minv_matvec cannot be specified for mode=1")
self.OP = matvec
self.B = lambda x: x
self.bmat = 'I'
elif mode == 2:
if matvec is None:
raise ValueError("matvec must be specified for mode=2")
if M_matvec is None:
raise ValueError("M_matvec must be specified for mode=2")
if Minv_matvec is None:
raise ValueError("Minv_matvec must be specified for mode=2")
self.OP = lambda x: Minv_matvec(matvec(x))
self.OPa = Minv_matvec
self.OPb = matvec
self.B = M_matvec
self.bmat = 'G'
elif mode in (3, 4):
if matvec is None:
raise ValueError("matvec must be specified "
"for mode in (3,4)")
if Minv_matvec is None:
raise ValueError("Minv_matvec must be specified "
"for mode in (3,4)")
self.matvec = matvec
if tp in 'DF': # complex type
if mode == 3:
self.OPa = Minv_matvec
else:
raise ValueError("mode=4 invalid for complex A")
else: # real type
if mode == 3:
self.OPa = lambda x: np.real(Minv_matvec(x))
else:
self.OPa = lambda x: np.imag(Minv_matvec(x))
if M_matvec is None:
self.B = lambda x: x
self.bmat = 'I'
self.OP = self.OPa
else:
self.B = M_matvec
self.bmat = 'G'
self.OP = lambda x: self.OPa(M_matvec(x))
else:
raise ValueError("mode=%i not implemented" % mode)
if which not in _NEUPD_WHICH:
raise ValueError("Parameter which must be one of %s"
% ' '.join(_NEUPD_WHICH))
if k >= n - 1:
raise ValueError("k must be less than rank(A)-1, k=%d" % k)
_ArpackParams.__init__(self, n, k, tp, mode, sigma,
ncv, v0, maxiter, which, tol)
if self.ncv > n or self.ncv <= k + 1:
raise ValueError("ncv must be k+1<ncv<=n, ncv=%s" % self.ncv)
self.workd = np.zeros(3 * n, self.tp)
self.workl = np.zeros(3 * self.ncv * (self.ncv + 2), self.tp)
ltr = _type_conv[self.tp]
self._arpack_solver = _arpack.__dict__[ltr + 'naupd']
self._arpack_extract = _arpack.__dict__[ltr + 'neupd']
self.iterate_infodict = _NAUPD_ERRORS[ltr]
self.extract_infodict = _NEUPD_ERRORS[ltr]
self.ipntr = np.zeros(14, "int")
if self.tp in 'FD':
self.rwork = np.zeros(self.ncv, self.tp.lower())
else:
self.rwork = None
def iterate(self):
if self.tp in 'fd':
self.ido, self.resid, self.v, self.iparam, self.ipntr, self.info =\
self._arpack_solver(self.ido, self.bmat, self.which, self.k,
self.tol, self.resid, self.v, self.iparam,
self.ipntr, self.workd, self.workl,
self.info)
else:
self.ido, self.resid, self.v, self.iparam, self.ipntr, self.info =\
self._arpack_solver(self.ido, self.bmat, self.which, self.k,
self.tol, self.resid, self.v, self.iparam,
self.ipntr, self.workd, self.workl,
self.rwork, self.info)
xslice = slice(self.ipntr[0] - 1, self.ipntr[0] - 1 + self.n)
yslice = slice(self.ipntr[1] - 1, self.ipntr[1] - 1 + self.n)
if self.ido == -1:
# initialization
self.workd[yslice] = self.OP(self.workd[xslice])
elif self.ido == 1:
# compute y = Op*x
if self.mode in (1, 2):
self.workd[yslice] = self.OP(self.workd[xslice])
else:
Bxslice = slice(self.ipntr[2] - 1, self.ipntr[2] - 1 + self.n)
self.workd[yslice] = self.OPa(self.workd[Bxslice])
elif self.ido == 2:
self.workd[yslice] = self.B(self.workd[xslice])
elif self.ido == 3:
raise ValueError("ARPACK requested user shifts. Assure ISHIFT==0")
else:
self.converged = True
if self.info == 0:
pass
elif self.info == 1:
self._raise_no_convergence()
else:
raise ArpackError(self.info, infodict=self.iterate_infodict)
def extract(self, return_eigenvectors):
k, n = self.k, self.n
ierr = 0
howmny = 'A' # return all eigenvectors
sselect = np.zeros(self.ncv, 'int') # unused
sigmar = np.real(self.sigma)
sigmai = np.imag(self.sigma)
workev = np.zeros(3 * self.ncv, self.tp)
if self.tp in 'fd':
dr = np.zeros(k + 1, self.tp)
di = np.zeros(k + 1, self.tp)
zr = np.zeros((n, k + 1), self.tp)
dr, di, zr, ierr = \
self._arpack_extract(
return_eigenvectors, howmny, sselect, sigmar, sigmai,
workev, self.bmat, self.which, k, self.tol, self.resid,
self.v, self.iparam, self.ipntr, self.workd, self.workl,
self.info)
if ierr != 0:
raise ArpackError(ierr, infodict=self.extract_infodict)
nreturned = self.iparam[4] # number of good eigenvalues returned
# Build complex eigenvalues from real and imaginary parts
d = dr + 1.0j * di
# Arrange the eigenvectors: complex eigenvectors are stored as
# real,imaginary in consecutive columns
z = zr.astype(self.tp.upper())
# The ARPACK nonsymmetric real and double interface (s,d)naupd
# return eigenvalues and eigenvectors in real (float,double)
# arrays.
# Efficiency: this should check that return_eigenvectors == True
# before going through this construction.
if sigmai == 0:
i = 0
while i <= k:
# check if complex
if abs(d[i].imag) != 0:
# this is a complex conjugate pair with eigenvalues
# in consecutive columns
if i < k:
z[:, i] = zr[:, i] + 1.0j * zr[:, i + 1]
z[:, i + 1] = z[:, i].conjugate()
i += 1
else:
#last eigenvalue is complex: the imaginary part of
# the eigenvector has not been returned
#this can only happen if nreturned > k, so we'll
# throw out this case.
nreturned -= 1
i += 1
else:
# real matrix, mode 3 or 4, imag(sigma) is nonzero:
# see remark 3 in <s,d>neupd.f
# Build complex eigenvalues from real and imaginary parts
i = 0
while i <= k:
if abs(d[i].imag) == 0:
d[i] = np.dot(zr[:, i], self.matvec(zr[:, i]))
else:
if i < k:
z[:, i] = zr[:, i] + 1.0j * zr[:, i + 1]
z[:, i + 1] = z[:, i].conjugate()
d[i] = ((np.dot(zr[:, i],
self.matvec(zr[:, i]))
+ np.dot(zr[:, i + 1],
self.matvec(zr[:, i + 1])))
+ 1j * (np.dot(zr[:, i],
self.matvec(zr[:, i + 1]))
- np.dot(zr[:, i + 1],
self.matvec(zr[:, i]))))
d[i + 1] = d[i].conj()
i += 1
else:
#last eigenvalue is complex: the imaginary part of
# the eigenvector has not been returned
#this can only happen if nreturned > k, so we'll
# throw out this case.
nreturned -= 1
i += 1
# Now we have k+1 possible eigenvalues and eigenvectors
# Return the ones specified by the keyword "which"
if nreturned <= k:
# we got less or equal as many eigenvalues we wanted
d = d[:nreturned]
z = z[:, :nreturned]
else:
# we got one extra eigenvalue (likely a cc pair, but which?)
# cut at approx precision for sorting
rd = np.round(d, decimals=_ndigits[self.tp])
if self.which in ['LR', 'SR']:
ind = np.argsort(rd.real)
elif self.which in ['LI', 'SI']:
# for LI,SI ARPACK returns largest,smallest
# abs(imaginary) why?
ind = np.argsort(abs(rd.imag))
else:
ind = np.argsort(abs(rd))
if self.which in ['LR', 'LM', 'LI']:
d = d[ind[-k:]]
z = z[:, ind[-k:]]
if self.which in ['SR', 'SM', 'SI']:
d = d[ind[:k]]
z = z[:, ind[:k]]
else:
# complex is so much simpler...
d, z, ierr =\
self._arpack_extract(
return_eigenvectors, howmny, sselect, self.sigma, workev,
self.bmat, self.which, k, self.tol, self.resid, self.v,
self.iparam, self.ipntr, self.workd, self.workl,
self.rwork, ierr)
if ierr != 0:
raise ArpackError(ierr, infodict=self.extract_infodict)
k_ok = self.iparam[4]
d = d[:k_ok]
z = z[:, :k_ok]
if return_eigenvectors:
return d, z
else:
return d
def _aslinearoperator_with_dtype(m):
m = aslinearoperator(m)
if not hasattr(m, 'dtype'):
x = np.zeros(m.shape[1])
m.dtype = (m * x).dtype
return m
class SpLuInv(LinearOperator):
"""
SpLuInv:
helper class to repeatedly solve M*x=b
using a sparse LU-decopposition of M
"""
def __init__(self, M):
self.M_lu = splu(M)
LinearOperator.__init__(self, M.shape, self._matvec, dtype=M.dtype)
self.isreal = not np.issubdtype(self.dtype, np.complexfloating)
def _matvec(self, x):
# careful here: splu.solve will throw away imaginary
# part of x if M is real
if self.isreal and np.issubdtype(x.dtype, np.complexfloating):
return (self.M_lu.solve(np.real(x))
+ 1j * self.M_lu.solve(np.imag(x)))
else:
return self.M_lu.solve(x)
class LuInv(LinearOperator):
"""
LuInv:
helper class to repeatedly solve M*x=b
using an LU-decomposition of M
"""
def __init__(self, M):
self.M_lu = lu_factor(M)
LinearOperator.__init__(self, M.shape, self._matvec, dtype=M.dtype)
def _matvec(self, x):
return lu_solve(self.M_lu, x)
class IterInv(LinearOperator):
"""
IterInv:
helper class to repeatedly solve M*x=b
using an iterative method.
"""
def __init__(self, M, ifunc=gmres, tol=0):
if tol <= 0:
# when tol=0, ARPACK uses machine tolerance as calculated
# by LAPACK's _LAMCH function. We should match this
tol = np.finfo(M.dtype).eps
self.M = M
self.ifunc = ifunc
self.tol = tol
if hasattr(M, 'dtype'):
dtype = M.dtype
else:
x = np.zeros(M.shape[1])
dtype = (M * x).dtype
LinearOperator.__init__(self, M.shape, self._matvec, dtype=dtype)
def _matvec(self, x):
b, info = self.ifunc(self.M, x, tol=self.tol)
if info != 0:
raise ValueError("Error in inverting M: function "
"%s did not converge (info = %i)."
% (self.ifunc.__name__, info))
return b
class IterOpInv(LinearOperator):
"""
IterOpInv:
helper class to repeatedly solve [A-sigma*M]*x = b
using an iterative method
"""
def __init__(self, A, M, sigma, ifunc=gmres, tol=0):
if tol <= 0:
# when tol=0, ARPACK uses machine tolerance as calculated
# by LAPACK's _LAMCH function. We should match this
tol = np.finfo(A.dtype).eps
self.A = A
self.M = M
self.sigma = sigma
self.ifunc = ifunc
self.tol = tol
x = np.zeros(A.shape[1])
if M is None:
dtype = self.mult_func_M_None(x).dtype
self.OP = LinearOperator(self.A.shape,
self.mult_func_M_None,
dtype=dtype)
else:
dtype = self.mult_func(x).dtype
self.OP = LinearOperator(self.A.shape,
self.mult_func,
dtype=dtype)
LinearOperator.__init__(self, A.shape, self._matvec, dtype=dtype)
def mult_func(self, x):
return self.A.matvec(x) - self.sigma * self.M.matvec(x)
def mult_func_M_None(self, x):
return self.A.matvec(x) - self.sigma * x
def _matvec(self, x):
b, info = self.ifunc(self.OP, x, tol=self.tol)
if info != 0:
raise ValueError("Error in inverting [A-sigma*M]: function "
"%s did not converge (info = %i)."
% (self.ifunc.__name__, info))
return b
def get_inv_matvec(M, symmetric=False, tol=0):
if isdense(M):
return LuInv(M).matvec
elif isspmatrix(M):
if isspmatrix_csr(M) and symmetric:
M = M.T
return SpLuInv(M).matvec
else:
return IterInv(M, tol=tol).matvec
def get_OPinv_matvec(A, M, sigma, symmetric=False, tol=0):
if sigma == 0:
return get_inv_matvec(A, symmetric=symmetric, tol=tol)
if M is None:
#M is the identity matrix
if isdense(A):
if (np.issubdtype(A.dtype, np.complexfloating)
or np.imag(sigma) == 0):
A = np.copy(A)
else:
A = A + 0j
A.flat[::A.shape[1] + 1] -= sigma
return LuInv(A).matvec
elif isspmatrix(A):
A = A - sigma * identity(A.shape[0])
if symmetric and isspmatrix_csr(A):
A = A.T
return SpLuInv(A.tocsc()).matvec
else:
return IterOpInv(_aslinearoperator_with_dtype(A), M, sigma,
tol=tol).matvec
else:
if ((not isdense(A) and not isspmatrix(A)) or
(not isdense(M) and not isspmatrix(M))):
return IterOpInv(_aslinearoperator_with_dtype(A),
_aslinearoperator_with_dtype(M), sigma,
tol=tol).matvec
elif isdense(A) or isdense(M):
return LuInv(A - sigma * M).matvec
else:
OP = A - sigma * M
if symmetric and isspmatrix_csr(OP):
OP = OP.T
return SpLuInv(OP.tocsc()).matvec
def _eigs(A, k=6, M=None, sigma=None, which='LM', v0=None, ncv=None,
maxiter=None, tol=0, return_eigenvectors=True, Minv=None, OPinv=None,
OPpart=None):
"""
Find k eigenvalues and eigenvectors of the square matrix A.
Solves ``A * x[i] = w[i] * x[i]``, the standard eigenvalue problem
for w[i] eigenvalues with corresponding eigenvectors x[i].
If M is specified, solves ``A * x[i] = w[i] * M * x[i]``, the
generalized eigenvalue problem for w[i] eigenvalues
with corresponding eigenvectors x[i]
Parameters
----------
A : An N x N matrix, array, sparse matrix, or LinearOperator representing
the operation A * x, where A is a real or complex square matrix.
k : integer
The number of eigenvalues and eigenvectors desired.
`k` must be smaller than N. It is not possible to compute all
eigenvectors of a matrix.
Returns
-------
w : array
Array of k eigenvalues.
v : array
An array of `k` eigenvectors.
``v[:, i]`` is the eigenvector corresponding to the eigenvalue w[i].
Other Parameters
----------------
M : An N x N matrix, array, sparse matrix, or LinearOperator representing
the operation M*x for the generalized eigenvalue problem
``A * x = w * M * x``
M must represent a real symmetric matrix. For best results, M should
be of the same type as A. Additionally:
* If sigma==None, M is positive definite
* If sigma is specified, M is positive semi-definite
If sigma==None, eigs requires an operator to compute the solution
of the linear equation `M * x = b`. This is done internally via a
(sparse) LU decomposition for an explicit matrix M, or via an
iterative solver for a general linear operator. Alternatively,
the user can supply the matrix or operator Minv, which gives
x = Minv * b = M^-1 * b
sigma : real or complex
Find eigenvalues near sigma using shift-invert mode. This requires
an operator to compute the solution of the linear system
`[A - sigma * M] * x = b`, where M is the identity matrix if
unspecified. This is computed internally via a (sparse) LU
decomposition for explicit matrices A & M, or via an iterative
solver if either A or M is a general linear operator.
Alternatively, the user can supply the matrix or operator OPinv,
which gives x = OPinv * b = [A - sigma * M]^-1 * b.
For a real matrix A, shift-invert can either be done in imaginary
mode or real mode, specified by the parameter OPpart ('r' or 'i').
Note that when sigma is specified, the keyword 'which' (below)
refers to the shifted eigenvalues w'[i] where:
* If A is real and OPpart == 'r' (default),
w'[i] = 1/2 * [ 1/(w[i]-sigma) + 1/(w[i]-conj(sigma)) ]
* If A is real and OPpart == 'i',
w'[i] = 1/2i * [ 1/(w[i]-sigma) - 1/(w[i]-conj(sigma)) ]
* If A is complex,
w'[i] = 1/(w[i]-sigma)
v0 : array
Starting vector for iteration.
ncv : integer
The number of Lanczos vectors generated
`ncv` must be greater than `k`; it is recommended that ``ncv > 2*k``.
which : string ['LM' | 'SM' | 'LR' | 'SR' | 'LI' | 'SI']
Which `k` eigenvectors and eigenvalues to find:
- 'LM' : largest magnitude
- 'SM' : smallest magnitude
- 'LR' : largest real part
- 'SR' : smallest real part
- 'LI' : largest imaginary part
- 'SI' : smallest imaginary part
When sigma != None, 'which' refers to the shifted eigenvalues w'[i]
(see discussion in 'sigma', above). ARPACK is generally better
at finding large values than small values. If small eigenvalues are
desired, consider using shift-invert mode for better performance.
maxiter : integer
Maximum number of Arnoldi update iterations allowed
tol : float
Relative accuracy for eigenvalues (stopping criterion)
The default value of 0 implies machine precision.
return_eigenvectors : boolean
Return eigenvectors (True) in addition to eigenvalues
Minv : N x N matrix, array, sparse matrix, or linear operator
See notes in M, above.
OPinv : N x N matrix, array, sparse matrix, or linear operator
See notes in sigma, above.
OPpart : 'r' or 'i'.
See notes in sigma, above
Raises
------
ArpackNoConvergence
When the requested convergence is not obtained.
The currently converged eigenvalues and eigenvectors can be found
as ``eigenvalues`` and ``eigenvectors`` attributes of the exception
object.
See Also
--------
eigsh : eigenvalues and eigenvectors for symmetric matrix A
svds : singular value decomposition for a matrix A
Examples
--------
Find 6 eigenvectors of the identity matrix:
>>> from sklearn.utils.arpack import eigs
>>> id = np.identity(13)
>>> vals, vecs = eigs(id, k=6)
>>> vals
array([ 1.+0.j, 1.+0.j, 1.+0.j, 1.+0.j, 1.+0.j, 1.+0.j])
>>> vecs.shape
(13, 6)
Notes
-----
This function is a wrapper to the ARPACK [1]_ SNEUPD, DNEUPD, CNEUPD,
ZNEUPD, functions which use the Implicitly Restarted Arnoldi Method to
find the eigenvalues and eigenvectors [2]_.
References
----------
.. [1] ARPACK Software, http://www.caam.rice.edu/software/ARPACK/
.. [2] R. B. Lehoucq, D. C. Sorensen, and C. Yang, ARPACK USERS GUIDE:
Solution of Large Scale Eigenvalue Problems by Implicitly Restarted
Arnoldi Methods. SIAM, Philadelphia, PA, 1998.
"""
if A.shape[0] != A.shape[1]:
raise ValueError('expected square matrix (shape=%s)' % (A.shape,))
if M is not None:
if M.shape != A.shape:
raise ValueError('wrong M dimensions %s, should be %s'
% (M.shape, A.shape))
if np.dtype(M.dtype).char.lower() != np.dtype(A.dtype).char.lower():
warnings.warn('M does not have the same type precision as A. '
'This may adversely affect ARPACK convergence')
n = A.shape[0]
if k <= 0 or k >= n:
raise ValueError("k must be between 1 and rank(A)-1")
if sigma is None:
matvec = _aslinearoperator_with_dtype(A).matvec
if OPinv is not None:
raise ValueError("OPinv should not be specified "
"with sigma = None.")
if OPpart is not None:
raise ValueError("OPpart should not be specified with "
"sigma = None or complex A")
if M is None:
#standard eigenvalue problem
mode = 1
M_matvec = None
Minv_matvec = None
if Minv is not None:
raise ValueError("Minv should not be "
"specified with M = None.")
else:
#general eigenvalue problem
mode = 2
if Minv is None:
Minv_matvec = get_inv_matvec(M, symmetric=True, tol=tol)
else:
Minv = _aslinearoperator_with_dtype(Minv)
Minv_matvec = Minv.matvec
M_matvec = _aslinearoperator_with_dtype(M).matvec
else:
#sigma is not None: shift-invert mode
if np.issubdtype(A.dtype, np.complexfloating):
if OPpart is not None:
raise ValueError("OPpart should not be specified "
"with sigma=None or complex A")
mode = 3
elif OPpart is None or OPpart.lower() == 'r':
mode = 3
elif OPpart.lower() == 'i':
if np.imag(sigma) == 0:
raise ValueError("OPpart cannot be 'i' if sigma is real")
mode = 4
else:
raise ValueError("OPpart must be one of ('r','i')")
matvec = _aslinearoperator_with_dtype(A).matvec
if Minv is not None:
raise ValueError("Minv should not be specified when sigma is")
if OPinv is None:
Minv_matvec = get_OPinv_matvec(A, M, sigma,
symmetric=False, tol=tol)
else:
OPinv = _aslinearoperator_with_dtype(OPinv)
Minv_matvec = OPinv.matvec
if M is None:
M_matvec = None
else:
M_matvec = _aslinearoperator_with_dtype(M).matvec
params = _UnsymmetricArpackParams(n, k, A.dtype.char, matvec, mode,
M_matvec, Minv_matvec, sigma,
ncv, v0, maxiter, which, tol)
while not params.converged:
params.iterate()
return params.extract(return_eigenvectors)
def _eigsh(A, k=6, M=None, sigma=None, which='LM', v0=None, ncv=None,
maxiter=None, tol=0, return_eigenvectors=True, Minv=None,
OPinv=None, mode='normal'):
"""
Find k eigenvalues and eigenvectors of the real symmetric square matrix
or complex hermitian matrix A.
Solves ``A * x[i] = w[i] * x[i]``, the standard eigenvalue problem for
w[i] eigenvalues with corresponding eigenvectors x[i].
If M is specified, solves ``A * x[i] = w[i] * M * x[i]``, the
generalized eigenvalue problem for w[i] eigenvalues
with corresponding eigenvectors x[i]
Parameters
----------
A : An N x N matrix, array, sparse matrix, or LinearOperator representing
the operation A * x, where A is a real symmetric matrix
For buckling mode (see below) A must additionally be positive-definite
k : integer
The number of eigenvalues and eigenvectors desired.
`k` must be smaller than N. It is not possible to compute all
eigenvectors of a matrix.
Returns
-------
w : array
Array of k eigenvalues
v : array
An array of k eigenvectors
The v[i] is the eigenvector corresponding to the eigenvector w[i]
Other Parameters
----------------
M : An N x N matrix, array, sparse matrix, or linear operator representing
the operation M * x for the generalized eigenvalue problem
``A * x = w * M * x``.
M must represent a real, symmetric matrix. For best results, M should
be of the same type as A. Additionally:
* If sigma == None, M is symmetric positive definite
* If sigma is specified, M is symmetric positive semi-definite
* In buckling mode, M is symmetric indefinite.
If sigma == None, eigsh requires an operator to compute the solution
of the linear equation `M * x = b`. This is done internally via a
(sparse) LU decomposition for an explicit matrix M, or via an
iterative solver for a general linear operator. Alternatively,
the user can supply the matrix or operator Minv, which gives
x = Minv * b = M^-1 * b
sigma : real
Find eigenvalues near sigma using shift-invert mode. This requires
an operator to compute the solution of the linear system
`[A - sigma * M] x = b`, where M is the identity matrix if
unspecified. This is computed internally via a (sparse) LU
decomposition for explicit matrices A & M, or via an iterative
solver if either A or M is a general linear operator.
Alternatively, the user can supply the matrix or operator OPinv,
which gives x = OPinv * b = [A - sigma * M]^-1 * b.
Note that when sigma is specified, the keyword 'which' refers to
the shifted eigenvalues w'[i] where:
- if mode == 'normal',
w'[i] = 1 / (w[i] - sigma)
- if mode == 'cayley',
w'[i] = (w[i] + sigma) / (w[i] - sigma)
- if mode == 'buckling',
w'[i] = w[i] / (w[i] - sigma)
(see further discussion in 'mode' below)
v0 : array
Starting vector for iteration.
ncv : integer
The number of Lanczos vectors generated
ncv must be greater than k and smaller than n;
it is recommended that ncv > 2*k
which : string ['LM' | 'SM' | 'LA' | 'SA' | 'BE']
If A is a complex hermitian matrix, 'BE' is invalid.
Which `k` eigenvectors and eigenvalues to find:
- 'LM' : Largest (in magnitude) eigenvalues
- 'SM' : Smallest (in magnitude) eigenvalues
- 'LA' : Largest (algebraic) eigenvalues
- 'SA' : Smallest (algebraic) eigenvalues
- 'BE' : Half (k/2) from each end of the spectrum
When k is odd, return one more (k/2+1) from the high end
When sigma != None, 'which' refers to the shifted eigenvalues w'[i]
(see discussion in 'sigma', above). ARPACK is generally better
at finding large values than small values. If small eigenvalues are
desired, consider using shift-invert mode for better performance.
maxiter : integer
Maximum number of Arnoldi update iterations allowed
tol : float
Relative accuracy for eigenvalues (stopping criterion).
The default value of 0 implies machine precision.
Minv : N x N matrix, array, sparse matrix, or LinearOperator
See notes in M, above
OPinv : N x N matrix, array, sparse matrix, or LinearOperator
See notes in sigma, above.
return_eigenvectors : boolean
Return eigenvectors (True) in addition to eigenvalues
mode : string ['normal' | 'buckling' | 'cayley']
Specify strategy to use for shift-invert mode. This argument applies
only for real-valued A and sigma != None. For shift-invert mode,
ARPACK internally solves the eigenvalue problem
``OP * x'[i] = w'[i] * B * x'[i]``
and transforms the resulting Ritz vectors x'[i] and Ritz values w'[i]
into the desired eigenvectors and eigenvalues of the problem
``A * x[i] = w[i] * M * x[i]``.
The modes are as follows:
- 'normal' : OP = [A - sigma * M]^-1 * M
B = M
w'[i] = 1 / (w[i] - sigma)
- 'buckling' : OP = [A - sigma * M]^-1 * A
B = A
w'[i] = w[i] / (w[i] - sigma)
- 'cayley' : OP = [A - sigma * M]^-1 * [A + sigma * M]
B = M
w'[i] = (w[i] + sigma) / (w[i] - sigma)
The choice of mode will affect which eigenvalues are selected by
the keyword 'which', and can also impact the stability of
convergence (see [2] for a discussion)
Raises
------
ArpackNoConvergence
When the requested convergence is not obtained.
The currently converged eigenvalues and eigenvectors can be found
as ``eigenvalues`` and ``eigenvectors`` attributes of the exception
object.
See Also
--------
eigs : eigenvalues and eigenvectors for a general (nonsymmetric) matrix A
svds : singular value decomposition for a matrix A
Notes
-----
This function is a wrapper to the ARPACK [1]_ SSEUPD and DSEUPD
functions which use the Implicitly Restarted Lanczos Method to
find the eigenvalues and eigenvectors [2]_.
Examples
--------
>>> from sklearn.utils.arpack import eigsh
>>> id = np.identity(13)
>>> vals, vecs = eigsh(id, k=6)
>>> vals # doctest: +SKIP
array([ 1.+0.j, 1.+0.j, 1.+0.j, 1.+0.j, 1.+0.j, 1.+0.j])
>>> print(vecs.shape)
(13, 6)
References
----------
.. [1] ARPACK Software, http://www.caam.rice.edu/software/ARPACK/
.. [2] R. B. Lehoucq, D. C. Sorensen, and C. Yang, ARPACK USERS GUIDE:
Solution of Large Scale Eigenvalue Problems by Implicitly Restarted
Arnoldi Methods. SIAM, Philadelphia, PA, 1998.
"""
# complex hermitian matrices should be solved with eigs
if np.issubdtype(A.dtype, np.complexfloating):
if mode != 'normal':
raise ValueError("mode=%s cannot be used with "
"complex matrix A" % mode)
if which == 'BE':
raise ValueError("which='BE' cannot be used with complex matrix A")
elif which == 'LA':
which = 'LR'
elif which == 'SA':
which = 'SR'
ret = eigs(A, k, M=M, sigma=sigma, which=which, v0=v0,
ncv=ncv, maxiter=maxiter, tol=tol,
return_eigenvectors=return_eigenvectors, Minv=Minv,
OPinv=OPinv)
if return_eigenvectors:
return ret[0].real, ret[1]
else:
return ret.real
if A.shape[0] != A.shape[1]:
raise ValueError('expected square matrix (shape=%s)' % (A.shape,))
if M is not None:
if M.shape != A.shape:
raise ValueError('wrong M dimensions %s, should be %s'
% (M.shape, A.shape))
if np.dtype(M.dtype).char.lower() != np.dtype(A.dtype).char.lower():
warnings.warn('M does not have the same type precision as A. '
'This may adversely affect ARPACK convergence')
n = A.shape[0]
if k <= 0 or k >= n:
raise ValueError("k must be between 1 and rank(A)-1")
if sigma is None:
A = _aslinearoperator_with_dtype(A)
matvec = A.matvec
if OPinv is not None:
raise ValueError("OPinv should not be specified "
"with sigma = None.")
if M is None:
#standard eigenvalue problem
mode = 1
M_matvec = None
Minv_matvec = None
if Minv is not None:
raise ValueError("Minv should not be "
"specified with M = None.")
else:
#general eigenvalue problem
mode = 2
if Minv is None:
Minv_matvec = get_inv_matvec(M, symmetric=True, tol=tol)
else:
Minv = _aslinearoperator_with_dtype(Minv)
Minv_matvec = Minv.matvec
M_matvec = _aslinearoperator_with_dtype(M).matvec
else:
# sigma is not None: shift-invert mode
if Minv is not None:
raise ValueError("Minv should not be specified when sigma is")
# normal mode
if mode == 'normal':
mode = 3
matvec = None
if OPinv is None:
Minv_matvec = get_OPinv_matvec(A, M, sigma,
symmetric=True, tol=tol)
else:
OPinv = _aslinearoperator_with_dtype(OPinv)
Minv_matvec = OPinv.matvec
if M is None:
M_matvec = None
else:
M = _aslinearoperator_with_dtype(M)
M_matvec = M.matvec
# buckling mode
elif mode == 'buckling':
mode = 4
if OPinv is None:
Minv_matvec = get_OPinv_matvec(A, M, sigma,
symmetric=True, tol=tol)
else:
Minv_matvec = _aslinearoperator_with_dtype(OPinv).matvec
matvec = _aslinearoperator_with_dtype(A).matvec
M_matvec = None
# cayley-transform mode
elif mode == 'cayley':
mode = 5
matvec = _aslinearoperator_with_dtype(A).matvec
if OPinv is None:
Minv_matvec = get_OPinv_matvec(A, M, sigma,
symmetric=True, tol=tol)
else:
Minv_matvec = _aslinearoperator_with_dtype(OPinv).matvec
if M is None:
M_matvec = None
else:
M_matvec = _aslinearoperator_with_dtype(M).matvec
# unrecognized mode
else:
raise ValueError("unrecognized mode '%s'" % mode)
params = _SymmetricArpackParams(n, k, A.dtype.char, matvec, mode,
M_matvec, Minv_matvec, sigma,
ncv, v0, maxiter, which, tol)
while not params.converged:
params.iterate()
return params.extract(return_eigenvectors)
def _svds(A, k=6, ncv=None, tol=0):
"""Compute k singular values/vectors for a sparse matrix using ARPACK.
Parameters
----------
A : sparse matrix
Array to compute the SVD on
k : int, optional
Number of singular values and vectors to compute.
ncv : integer
The number of Lanczos vectors generated
ncv must be greater than k+1 and smaller than n;
it is recommended that ncv > 2*k
tol : float, optional
Tolerance for singular values. Zero (default) means machine precision.
Notes
-----
This is a naive implementation using an eigensolver on A.H * A or
A * A.H, depending on which one is more efficient.
"""
if not (isinstance(A, np.ndarray) or isspmatrix(A)):
A = np.asarray(A)
n, m = A.shape
if np.issubdtype(A.dtype, np.complexfloating):
herm = lambda x: x.T.conjugate()
eigensolver = eigs
else:
herm = lambda x: x.T
eigensolver = eigsh
if n > m:
X = A
XH = herm(A)
else:
XH = A
X = herm(A)
if hasattr(XH, 'dot'):
def matvec_XH_X(x):
return XH.dot(X.dot(x))
else:
def matvec_XH_X(x):
return np.dot(XH, np.dot(X, x))
XH_X = LinearOperator(matvec=matvec_XH_X, dtype=X.dtype,
shape=(X.shape[1], X.shape[1]))
# Ignore deprecation warnings here: dot on matrices is deprecated,
# but this code is a backport anyhow
with warnings.catch_warnings():
warnings.simplefilter('ignore', DeprecationWarning)
eigvals, eigvec = eigensolver(XH_X, k=k, tol=tol ** 2)
s = np.sqrt(eigvals)
if n > m:
v = eigvec
if hasattr(X, 'dot'):
u = X.dot(v) / s
else:
u = np.dot(X, v) / s
vh = herm(v)
else:
u = eigvec
if hasattr(X, 'dot'):
vh = herm(X.dot(u) / s)
else:
vh = herm(np.dot(X, u) / s)
return u, s, vh
# check if backport is actually needed:
if scipy.version.version >= LooseVersion('0.10'):
from scipy.sparse.linalg import eigs, eigsh, svds
else:
eigs, eigsh, svds = _eigs, _eigsh, _svds
| bsd-3-clause |
xyguo/scikit-learn | sklearn/utils/tests/test_sparsefuncs.py | 78 | 17611 | import numpy as np
import scipy.sparse as sp
from scipy import linalg
from numpy.testing import (assert_array_almost_equal,
assert_array_equal,
assert_equal)
from numpy.random import RandomState
from sklearn.datasets import make_classification
from sklearn.utils.sparsefuncs import (mean_variance_axis,
incr_mean_variance_axis,
inplace_column_scale,
inplace_row_scale,
inplace_swap_row, inplace_swap_column,
min_max_axis,
count_nonzero, csc_median_axis_0)
from sklearn.utils.sparsefuncs_fast import (assign_rows_csr,
inplace_csr_row_normalize_l1,
inplace_csr_row_normalize_l2)
from sklearn.utils.testing import assert_raises
def test_mean_variance_axis0():
X, _ = make_classification(5, 4, random_state=0)
# Sparsify the array a little bit
X[0, 0] = 0
X[2, 1] = 0
X[4, 3] = 0
X_lil = sp.lil_matrix(X)
X_lil[1, 0] = 0
X[1, 0] = 0
assert_raises(TypeError, mean_variance_axis, X_lil, axis=0)
X_csr = sp.csr_matrix(X_lil)
X_csc = sp.csc_matrix(X_lil)
expected_dtypes = [(np.float32, np.float32),
(np.float64, np.float64),
(np.int32, np.float64),
(np.int64, np.float64)]
for input_dtype, output_dtype in expected_dtypes:
X_test = X.astype(input_dtype)
for X_sparse in (X_csr, X_csc):
X_sparse = X_sparse.astype(input_dtype)
X_means, X_vars = mean_variance_axis(X_sparse, axis=0)
assert_equal(X_means.dtype, output_dtype)
assert_equal(X_vars.dtype, output_dtype)
assert_array_almost_equal(X_means, np.mean(X_test, axis=0))
assert_array_almost_equal(X_vars, np.var(X_test, axis=0))
def test_mean_variance_axis1():
X, _ = make_classification(5, 4, random_state=0)
# Sparsify the array a little bit
X[0, 0] = 0
X[2, 1] = 0
X[4, 3] = 0
X_lil = sp.lil_matrix(X)
X_lil[1, 0] = 0
X[1, 0] = 0
assert_raises(TypeError, mean_variance_axis, X_lil, axis=1)
X_csr = sp.csr_matrix(X_lil)
X_csc = sp.csc_matrix(X_lil)
expected_dtypes = [(np.float32, np.float32),
(np.float64, np.float64),
(np.int32, np.float64),
(np.int64, np.float64)]
for input_dtype, output_dtype in expected_dtypes:
X_test = X.astype(input_dtype)
for X_sparse in (X_csr, X_csc):
X_sparse = X_sparse.astype(input_dtype)
X_means, X_vars = mean_variance_axis(X_sparse, axis=0)
assert_equal(X_means.dtype, output_dtype)
assert_equal(X_vars.dtype, output_dtype)
assert_array_almost_equal(X_means, np.mean(X_test, axis=0))
assert_array_almost_equal(X_vars, np.var(X_test, axis=0))
def test_incr_mean_variance_axis():
for axis in [0, 1]:
rng = np.random.RandomState(0)
n_features = 50
n_samples = 10
data_chunks = [rng.randint(0, 2, size=n_features)
for i in range(n_samples)]
# default params for incr_mean_variance
last_mean = np.zeros(n_features)
last_var = np.zeros_like(last_mean)
last_n = 0
# Test errors
X = np.array(data_chunks[0])
X = np.atleast_2d(X)
X_lil = sp.lil_matrix(X)
X_csr = sp.csr_matrix(X_lil)
assert_raises(TypeError, incr_mean_variance_axis, axis,
last_mean, last_var, last_n)
assert_raises(TypeError, incr_mean_variance_axis, axis,
last_mean, last_var, last_n)
assert_raises(TypeError, incr_mean_variance_axis, X_lil, axis,
last_mean, last_var, last_n)
# Test _incr_mean_and_var with a 1 row input
X_means, X_vars = mean_variance_axis(X_csr, axis)
X_means_incr, X_vars_incr, n_incr = \
incr_mean_variance_axis(X_csr, axis, last_mean, last_var, last_n)
assert_array_almost_equal(X_means, X_means_incr)
assert_array_almost_equal(X_vars, X_vars_incr)
assert_equal(X.shape[axis], n_incr) # X.shape[axis] picks # samples
X_csc = sp.csc_matrix(X_lil)
X_means, X_vars = mean_variance_axis(X_csc, axis)
assert_array_almost_equal(X_means, X_means_incr)
assert_array_almost_equal(X_vars, X_vars_incr)
assert_equal(X.shape[axis], n_incr)
# Test _incremental_mean_and_var with whole data
X = np.vstack(data_chunks)
X_lil = sp.lil_matrix(X)
X_csr = sp.csr_matrix(X_lil)
X_csc = sp.csc_matrix(X_lil)
expected_dtypes = [(np.float32, np.float32),
(np.float64, np.float64),
(np.int32, np.float64),
(np.int64, np.float64)]
for input_dtype, output_dtype in expected_dtypes:
for X_sparse in (X_csr, X_csc):
X_sparse = X_sparse.astype(input_dtype)
X_means, X_vars = mean_variance_axis(X_sparse, axis)
X_means_incr, X_vars_incr, n_incr = \
incr_mean_variance_axis(X_sparse, axis, last_mean,
last_var, last_n)
assert_equal(X_means_incr.dtype, output_dtype)
assert_equal(X_vars_incr.dtype, output_dtype)
assert_array_almost_equal(X_means, X_means_incr)
assert_array_almost_equal(X_vars, X_vars_incr)
assert_equal(X.shape[axis], n_incr)
def test_mean_variance_illegal_axis():
X, _ = make_classification(5, 4, random_state=0)
# Sparsify the array a little bit
X[0, 0] = 0
X[2, 1] = 0
X[4, 3] = 0
X_csr = sp.csr_matrix(X)
assert_raises(ValueError, mean_variance_axis, X_csr, axis=-3)
assert_raises(ValueError, mean_variance_axis, X_csr, axis=2)
assert_raises(ValueError, mean_variance_axis, X_csr, axis=-1)
assert_raises(ValueError, incr_mean_variance_axis, X_csr, axis=-3,
last_mean=None, last_var=None, last_n=None)
assert_raises(ValueError, incr_mean_variance_axis, X_csr, axis=2,
last_mean=None, last_var=None, last_n=None)
assert_raises(ValueError, incr_mean_variance_axis, X_csr, axis=-1,
last_mean=None, last_var=None, last_n=None)
def test_densify_rows():
for dtype in (np.float32, np.float64):
X = sp.csr_matrix([[0, 3, 0],
[2, 4, 0],
[0, 0, 0],
[9, 8, 7],
[4, 0, 5]], dtype=dtype)
X_rows = np.array([0, 2, 3], dtype=np.intp)
out = np.ones((6, X.shape[1]), dtype=dtype)
out_rows = np.array([1, 3, 4], dtype=np.intp)
expect = np.ones_like(out)
expect[out_rows] = X[X_rows, :].toarray()
assign_rows_csr(X, X_rows, out_rows, out)
assert_array_equal(out, expect)
def test_inplace_column_scale():
rng = np.random.RandomState(0)
X = sp.rand(100, 200, 0.05)
Xr = X.tocsr()
Xc = X.tocsc()
XA = X.toarray()
scale = rng.rand(200)
XA *= scale
inplace_column_scale(Xc, scale)
inplace_column_scale(Xr, scale)
assert_array_almost_equal(Xr.toarray(), Xc.toarray())
assert_array_almost_equal(XA, Xc.toarray())
assert_array_almost_equal(XA, Xr.toarray())
assert_raises(TypeError, inplace_column_scale, X.tolil(), scale)
X = X.astype(np.float32)
scale = scale.astype(np.float32)
Xr = X.tocsr()
Xc = X.tocsc()
XA = X.toarray()
XA *= scale
inplace_column_scale(Xc, scale)
inplace_column_scale(Xr, scale)
assert_array_almost_equal(Xr.toarray(), Xc.toarray())
assert_array_almost_equal(XA, Xc.toarray())
assert_array_almost_equal(XA, Xr.toarray())
assert_raises(TypeError, inplace_column_scale, X.tolil(), scale)
def test_inplace_row_scale():
rng = np.random.RandomState(0)
X = sp.rand(100, 200, 0.05)
Xr = X.tocsr()
Xc = X.tocsc()
XA = X.toarray()
scale = rng.rand(100)
XA *= scale.reshape(-1, 1)
inplace_row_scale(Xc, scale)
inplace_row_scale(Xr, scale)
assert_array_almost_equal(Xr.toarray(), Xc.toarray())
assert_array_almost_equal(XA, Xc.toarray())
assert_array_almost_equal(XA, Xr.toarray())
assert_raises(TypeError, inplace_column_scale, X.tolil(), scale)
X = X.astype(np.float32)
scale = scale.astype(np.float32)
Xr = X.tocsr()
Xc = X.tocsc()
XA = X.toarray()
XA *= scale.reshape(-1, 1)
inplace_row_scale(Xc, scale)
inplace_row_scale(Xr, scale)
assert_array_almost_equal(Xr.toarray(), Xc.toarray())
assert_array_almost_equal(XA, Xc.toarray())
assert_array_almost_equal(XA, Xr.toarray())
assert_raises(TypeError, inplace_column_scale, X.tolil(), scale)
def test_inplace_swap_row():
X = np.array([[0, 3, 0],
[2, 4, 0],
[0, 0, 0],
[9, 8, 7],
[4, 0, 5]], dtype=np.float64)
X_csr = sp.csr_matrix(X)
X_csc = sp.csc_matrix(X)
swap = linalg.get_blas_funcs(('swap',), (X,))
swap = swap[0]
X[0], X[-1] = swap(X[0], X[-1])
inplace_swap_row(X_csr, 0, -1)
inplace_swap_row(X_csc, 0, -1)
assert_array_equal(X_csr.toarray(), X_csc.toarray())
assert_array_equal(X, X_csc.toarray())
assert_array_equal(X, X_csr.toarray())
X[2], X[3] = swap(X[2], X[3])
inplace_swap_row(X_csr, 2, 3)
inplace_swap_row(X_csc, 2, 3)
assert_array_equal(X_csr.toarray(), X_csc.toarray())
assert_array_equal(X, X_csc.toarray())
assert_array_equal(X, X_csr.toarray())
assert_raises(TypeError, inplace_swap_row, X_csr.tolil())
X = np.array([[0, 3, 0],
[2, 4, 0],
[0, 0, 0],
[9, 8, 7],
[4, 0, 5]], dtype=np.float32)
X_csr = sp.csr_matrix(X)
X_csc = sp.csc_matrix(X)
swap = linalg.get_blas_funcs(('swap',), (X,))
swap = swap[0]
X[0], X[-1] = swap(X[0], X[-1])
inplace_swap_row(X_csr, 0, -1)
inplace_swap_row(X_csc, 0, -1)
assert_array_equal(X_csr.toarray(), X_csc.toarray())
assert_array_equal(X, X_csc.toarray())
assert_array_equal(X, X_csr.toarray())
X[2], X[3] = swap(X[2], X[3])
inplace_swap_row(X_csr, 2, 3)
inplace_swap_row(X_csc, 2, 3)
assert_array_equal(X_csr.toarray(), X_csc.toarray())
assert_array_equal(X, X_csc.toarray())
assert_array_equal(X, X_csr.toarray())
assert_raises(TypeError, inplace_swap_row, X_csr.tolil())
def test_inplace_swap_column():
X = np.array([[0, 3, 0],
[2, 4, 0],
[0, 0, 0],
[9, 8, 7],
[4, 0, 5]], dtype=np.float64)
X_csr = sp.csr_matrix(X)
X_csc = sp.csc_matrix(X)
swap = linalg.get_blas_funcs(('swap',), (X,))
swap = swap[0]
X[:, 0], X[:, -1] = swap(X[:, 0], X[:, -1])
inplace_swap_column(X_csr, 0, -1)
inplace_swap_column(X_csc, 0, -1)
assert_array_equal(X_csr.toarray(), X_csc.toarray())
assert_array_equal(X, X_csc.toarray())
assert_array_equal(X, X_csr.toarray())
X[:, 0], X[:, 1] = swap(X[:, 0], X[:, 1])
inplace_swap_column(X_csr, 0, 1)
inplace_swap_column(X_csc, 0, 1)
assert_array_equal(X_csr.toarray(), X_csc.toarray())
assert_array_equal(X, X_csc.toarray())
assert_array_equal(X, X_csr.toarray())
assert_raises(TypeError, inplace_swap_column, X_csr.tolil())
X = np.array([[0, 3, 0],
[2, 4, 0],
[0, 0, 0],
[9, 8, 7],
[4, 0, 5]], dtype=np.float32)
X_csr = sp.csr_matrix(X)
X_csc = sp.csc_matrix(X)
swap = linalg.get_blas_funcs(('swap',), (X,))
swap = swap[0]
X[:, 0], X[:, -1] = swap(X[:, 0], X[:, -1])
inplace_swap_column(X_csr, 0, -1)
inplace_swap_column(X_csc, 0, -1)
assert_array_equal(X_csr.toarray(), X_csc.toarray())
assert_array_equal(X, X_csc.toarray())
assert_array_equal(X, X_csr.toarray())
X[:, 0], X[:, 1] = swap(X[:, 0], X[:, 1])
inplace_swap_column(X_csr, 0, 1)
inplace_swap_column(X_csc, 0, 1)
assert_array_equal(X_csr.toarray(), X_csc.toarray())
assert_array_equal(X, X_csc.toarray())
assert_array_equal(X, X_csr.toarray())
assert_raises(TypeError, inplace_swap_column, X_csr.tolil())
def test_min_max_axis0():
X = np.array([[0, 3, 0],
[2, -1, 0],
[0, 0, 0],
[9, 8, 7],
[4, 0, 5]], dtype=np.float64)
X_csr = sp.csr_matrix(X)
X_csc = sp.csc_matrix(X)
mins_csr, maxs_csr = min_max_axis(X_csr, axis=0)
assert_array_equal(mins_csr, X.min(axis=0))
assert_array_equal(maxs_csr, X.max(axis=0))
mins_csc, maxs_csc = min_max_axis(X_csc, axis=0)
assert_array_equal(mins_csc, X.min(axis=0))
assert_array_equal(maxs_csc, X.max(axis=0))
X = X.astype(np.float32)
X_csr = sp.csr_matrix(X)
X_csc = sp.csc_matrix(X)
mins_csr, maxs_csr = min_max_axis(X_csr, axis=0)
assert_array_equal(mins_csr, X.min(axis=0))
assert_array_equal(maxs_csr, X.max(axis=0))
mins_csc, maxs_csc = min_max_axis(X_csc, axis=0)
assert_array_equal(mins_csc, X.min(axis=0))
assert_array_equal(maxs_csc, X.max(axis=0))
def test_min_max_axis1():
X = np.array([[0, 3, 0],
[2, -1, 0],
[0, 0, 0],
[9, 8, 7],
[4, 0, 5]], dtype=np.float64)
X_csr = sp.csr_matrix(X)
X_csc = sp.csc_matrix(X)
mins_csr, maxs_csr = min_max_axis(X_csr, axis=1)
assert_array_equal(mins_csr, X.min(axis=1))
assert_array_equal(maxs_csr, X.max(axis=1))
mins_csc, maxs_csc = min_max_axis(X_csc, axis=1)
assert_array_equal(mins_csc, X.min(axis=1))
assert_array_equal(maxs_csc, X.max(axis=1))
X = X.astype(np.float32)
X_csr = sp.csr_matrix(X)
X_csc = sp.csc_matrix(X)
mins_csr, maxs_csr = min_max_axis(X_csr, axis=1)
assert_array_equal(mins_csr, X.min(axis=1))
assert_array_equal(maxs_csr, X.max(axis=1))
mins_csc, maxs_csc = min_max_axis(X_csc, axis=1)
assert_array_equal(mins_csc, X.min(axis=1))
assert_array_equal(maxs_csc, X.max(axis=1))
def test_min_max_axis_errors():
X = np.array([[0, 3, 0],
[2, -1, 0],
[0, 0, 0],
[9, 8, 7],
[4, 0, 5]], dtype=np.float64)
X_csr = sp.csr_matrix(X)
X_csc = sp.csc_matrix(X)
assert_raises(TypeError, min_max_axis, X_csr.tolil(), axis=0)
assert_raises(ValueError, min_max_axis, X_csr, axis=2)
assert_raises(ValueError, min_max_axis, X_csc, axis=-3)
def test_count_nonzero():
X = np.array([[0, 3, 0],
[2, -1, 0],
[0, 0, 0],
[9, 8, 7],
[4, 0, 5]], dtype=np.float64)
X_csr = sp.csr_matrix(X)
X_csc = sp.csc_matrix(X)
X_nonzero = X != 0
sample_weight = [.5, .2, .3, .1, .1]
X_nonzero_weighted = X_nonzero * np.array(sample_weight)[:, None]
for axis in [0, 1, -1, -2, None]:
assert_array_almost_equal(count_nonzero(X_csr, axis=axis),
X_nonzero.sum(axis=axis))
assert_array_almost_equal(count_nonzero(X_csr, axis=axis,
sample_weight=sample_weight),
X_nonzero_weighted.sum(axis=axis))
assert_raises(TypeError, count_nonzero, X_csc)
assert_raises(ValueError, count_nonzero, X_csr, axis=2)
def test_csc_row_median():
# Test csc_row_median actually calculates the median.
# Test that it gives the same output when X is dense.
rng = np.random.RandomState(0)
X = rng.rand(100, 50)
dense_median = np.median(X, axis=0)
csc = sp.csc_matrix(X)
sparse_median = csc_median_axis_0(csc)
assert_array_equal(sparse_median, dense_median)
# Test that it gives the same output when X is sparse
X = rng.rand(51, 100)
X[X < 0.7] = 0.0
ind = rng.randint(0, 50, 10)
X[ind] = -X[ind]
csc = sp.csc_matrix(X)
dense_median = np.median(X, axis=0)
sparse_median = csc_median_axis_0(csc)
assert_array_equal(sparse_median, dense_median)
# Test for toy data.
X = [[0, -2], [-1, -1], [1, 0], [2, 1]]
csc = sp.csc_matrix(X)
assert_array_equal(csc_median_axis_0(csc), np.array([0.5, -0.5]))
X = [[0, -2], [-1, -5], [1, -3]]
csc = sp.csc_matrix(X)
assert_array_equal(csc_median_axis_0(csc), np.array([0., -3]))
# Test that it raises an Error for non-csc matrices.
assert_raises(TypeError, csc_median_axis_0, sp.csr_matrix(X))
def test_inplace_normalize():
ones = np.ones((10, 1))
rs = RandomState(10)
for inplace_csr_row_normalize in (inplace_csr_row_normalize_l1,
inplace_csr_row_normalize_l2):
for dtype in (np.float64, np.float32):
X = rs.randn(10, 5).astype(dtype)
X_csr = sp.csr_matrix(X)
inplace_csr_row_normalize(X_csr)
assert_equal(X_csr.dtype, dtype)
if inplace_csr_row_normalize is inplace_csr_row_normalize_l2:
X_csr.data **= 2
assert_array_almost_equal(np.abs(X_csr).sum(axis=1), ones)
| bsd-3-clause |
ifuding/Kaggle | TalkingDataFraudDetect/Code/lgb_predict.py | 3 | 2602 | import pandas as pd
import time
import numpy as np
import gc
from feature_engineer import gen_features
from feature_engineer import timer
import keras_train
from nfold_train import nfold_train, models_eval
import tensorflow as tf
import os
import shutil
from lcc_sample import neg_sample
from sklearn import metrics
import lightgbm as lgb
from main import *
DENSE_FEATURE_TYPE = keras_train.DENSE_FEATURE_TYPE
def find_best_iteration_search(bst):
"""
"""
valide_df = load_valide_data()
valide_data = valide_df[keras_train.USED_FEATURE_LIST].values.astype(DENSE_FEATURE_TYPE)
valide_label = valide_df['is_attributed'].values.astype(np.uint8)
del valide_df
gc.collect()
if FLAGS.stacking:
valide_data = gen_stacking_data(valide_data)
pos_cnt = valide_label.sum()
neg_cnt = len(valide_label) - pos_cnt
print ("valide type: {0} valide size: {1} valide data pos: {2} neg: {3}".format(
valide_data.dtype, len(valide_data), pos_cnt, neg_cnt))
with timer("finding best iteration..."):
search_iterations = [int(ii.strip()) for ii in FLAGS.search_iterations.split(',')]
for i in range(search_iterations[0], search_iterations[1], search_iterations[2]):
y_pred = bst.predict(valide_data, num_iteration=i)
score = metrics.roc_auc_score(valide_label, y_pred)
loss = metrics.log_loss(valide_label, y_pred)
print ("Iteration: {0} AUC: {1} Logloss: {2}".format(i, score, loss))
def predict_test(bst):
test_df = load_test_data()
test_data = test_df[keras_train.USED_FEATURE_LIST].values.astype(DENSE_FEATURE_TYPE)
test_id = test_df['click_id'].values #.astype(np.uint32)
print ("test type {0}".format(test_data.dtype))
del test_df
gc.collect()
if FLAGS.stacking:
test_data = gen_stacking_data(test_data)
with timer("predicting test data"):
print('predicting test data...')
sub_re = pd.DataFrame(test_id, columns = ['click_id'])
sub_re['is_attributed'] = bst.predict(test_data, num_iteration=FLAGS.best_iteration)
time_label = time.strftime('_%Y_%m_%d_%H_%M_%S', time.gmtime())
sub_name = FLAGS.output_model_path + "sub" + time_label + ".csv"
sub_re.to_csv(sub_name, index=False)
if __name__ == "__main__":
# load model to predict
bst = lgb.Booster(model_file= FLAGS.input_previous_model_path + '/model.txt')
if FLAGS.search_best_iteration:
find_best_iteration_search(bst)
else:
predict_test(bst) | apache-2.0 |
RachitKansal/scikit-learn | sklearn/datasets/tests/test_20news.py | 280 | 3045 | """Test the 20news downloader, if the data is available."""
import numpy as np
import scipy.sparse as sp
from sklearn.utils.testing import assert_equal
from sklearn.utils.testing import assert_true
from sklearn.utils.testing import SkipTest
from sklearn import datasets
def test_20news():
try:
data = datasets.fetch_20newsgroups(
subset='all', download_if_missing=False, shuffle=False)
except IOError:
raise SkipTest("Download 20 newsgroups to run this test")
# Extract a reduced dataset
data2cats = datasets.fetch_20newsgroups(
subset='all', categories=data.target_names[-1:-3:-1], shuffle=False)
# Check that the ordering of the target_names is the same
# as the ordering in the full dataset
assert_equal(data2cats.target_names,
data.target_names[-2:])
# Assert that we have only 0 and 1 as labels
assert_equal(np.unique(data2cats.target).tolist(), [0, 1])
# Check that the number of filenames is consistent with data/target
assert_equal(len(data2cats.filenames), len(data2cats.target))
assert_equal(len(data2cats.filenames), len(data2cats.data))
# Check that the first entry of the reduced dataset corresponds to
# the first entry of the corresponding category in the full dataset
entry1 = data2cats.data[0]
category = data2cats.target_names[data2cats.target[0]]
label = data.target_names.index(category)
entry2 = data.data[np.where(data.target == label)[0][0]]
assert_equal(entry1, entry2)
def test_20news_length_consistency():
"""Checks the length consistencies within the bunch
This is a non-regression test for a bug present in 0.16.1.
"""
try:
data = datasets.fetch_20newsgroups(
subset='all', download_if_missing=False, shuffle=False)
except IOError:
raise SkipTest("Download 20 newsgroups to run this test")
# Extract the full dataset
data = datasets.fetch_20newsgroups(subset='all')
assert_equal(len(data['data']), len(data.data))
assert_equal(len(data['target']), len(data.target))
assert_equal(len(data['filenames']), len(data.filenames))
def test_20news_vectorized():
# This test is slow.
raise SkipTest("Test too slow.")
bunch = datasets.fetch_20newsgroups_vectorized(subset="train")
assert_true(sp.isspmatrix_csr(bunch.data))
assert_equal(bunch.data.shape, (11314, 107428))
assert_equal(bunch.target.shape[0], 11314)
assert_equal(bunch.data.dtype, np.float64)
bunch = datasets.fetch_20newsgroups_vectorized(subset="test")
assert_true(sp.isspmatrix_csr(bunch.data))
assert_equal(bunch.data.shape, (7532, 107428))
assert_equal(bunch.target.shape[0], 7532)
assert_equal(bunch.data.dtype, np.float64)
bunch = datasets.fetch_20newsgroups_vectorized(subset="all")
assert_true(sp.isspmatrix_csr(bunch.data))
assert_equal(bunch.data.shape, (11314 + 7532, 107428))
assert_equal(bunch.target.shape[0], 11314 + 7532)
assert_equal(bunch.data.dtype, np.float64)
| bsd-3-clause |
Nyker510/scikit-learn | sklearn/tree/tests/test_tree.py | 72 | 47440 | """
Testing for the tree module (sklearn.tree).
"""
import pickle
from functools import partial
from itertools import product
import platform
import numpy as np
from scipy.sparse import csc_matrix
from scipy.sparse import csr_matrix
from scipy.sparse import coo_matrix
from sklearn.random_projection import sparse_random_matrix
from sklearn.metrics import accuracy_score
from sklearn.metrics import mean_squared_error
from sklearn.utils.testing import assert_array_equal
from sklearn.utils.testing import assert_array_almost_equal
from sklearn.utils.testing import assert_almost_equal
from sklearn.utils.testing import assert_equal
from sklearn.utils.testing import assert_in
from sklearn.utils.testing import assert_raises
from sklearn.utils.testing import assert_greater
from sklearn.utils.testing import assert_greater_equal
from sklearn.utils.testing import assert_less
from sklearn.utils.testing import assert_true
from sklearn.utils.testing import raises
from sklearn.utils.validation import check_random_state
from sklearn.utils.validation import NotFittedError
from sklearn.tree import DecisionTreeClassifier
from sklearn.tree import DecisionTreeRegressor
from sklearn.tree import ExtraTreeClassifier
from sklearn.tree import ExtraTreeRegressor
from sklearn import tree
from sklearn.tree.tree import SPARSE_SPLITTERS
from sklearn.tree._tree import TREE_LEAF
from sklearn import datasets
from sklearn.preprocessing._weights import _balance_weights
CLF_CRITERIONS = ("gini", "entropy")
REG_CRITERIONS = ("mse", )
CLF_TREES = {
"DecisionTreeClassifier": DecisionTreeClassifier,
"Presort-DecisionTreeClassifier": partial(DecisionTreeClassifier,
splitter="presort-best"),
"ExtraTreeClassifier": ExtraTreeClassifier,
}
REG_TREES = {
"DecisionTreeRegressor": DecisionTreeRegressor,
"Presort-DecisionTreeRegressor": partial(DecisionTreeRegressor,
splitter="presort-best"),
"ExtraTreeRegressor": ExtraTreeRegressor,
}
ALL_TREES = dict()
ALL_TREES.update(CLF_TREES)
ALL_TREES.update(REG_TREES)
SPARSE_TREES = [name for name, Tree in ALL_TREES.items()
if Tree().splitter in SPARSE_SPLITTERS]
X_small = np.array([
[0, 0, 4, 0, 0, 0, 1, -14, 0, -4, 0, 0, 0, 0, ],
[0, 0, 5, 3, 0, -4, 0, 0, 1, -5, 0.2, 0, 4, 1, ],
[-1, -1, 0, 0, -4.5, 0, 0, 2.1, 1, 0, 0, -4.5, 0, 1, ],
[-1, -1, 0, -1.2, 0, 0, 0, 0, 0, 0, 0.2, 0, 0, 1, ],
[-1, -1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 1, ],
[-1, -2, 0, 4, -3, 10, 4, 0, -3.2, 0, 4, 3, -4, 1, ],
[2.11, 0, -6, -0.5, 0, 11, 0, 0, -3.2, 6, 0.5, 0, -3, 1, ],
[2.11, 0, -6, -0.5, 0, 11, 0, 0, -3.2, 6, 0, 0, -2, 1, ],
[2.11, 8, -6, -0.5, 0, 11, 0, 0, -3.2, 6, 0, 0, -2, 1, ],
[2.11, 8, -6, -0.5, 0, 11, 0, 0, -3.2, 6, 0.5, 0, -1, 0, ],
[2, 8, 5, 1, 0.5, -4, 10, 0, 1, -5, 3, 0, 2, 0, ],
[2, 0, 1, 1, 1, -1, 1, 0, 0, -2, 3, 0, 1, 0, ],
[2, 0, 1, 2, 3, -1, 10, 2, 0, -1, 1, 2, 2, 0, ],
[1, 1, 0, 2, 2, -1, 1, 2, 0, -5, 1, 2, 3, 0, ],
[3, 1, 0, 3, 0, -4, 10, 0, 1, -5, 3, 0, 3, 1, ],
[2.11, 8, -6, -0.5, 0, 1, 0, 0, -3.2, 6, 0.5, 0, -3, 1, ],
[2.11, 8, -6, -0.5, 0, 1, 0, 0, -3.2, 6, 1.5, 1, -1, -1, ],
[2.11, 8, -6, -0.5, 0, 10, 0, 0, -3.2, 6, 0.5, 0, -1, -1, ],
[2, 0, 5, 1, 0.5, -2, 10, 0, 1, -5, 3, 1, 0, -1, ],
[2, 0, 1, 1, 1, -2, 1, 0, 0, -2, 0, 0, 0, 1, ],
[2, 1, 1, 1, 2, -1, 10, 2, 0, -1, 0, 2, 1, 1, ],
[1, 1, 0, 0, 1, -3, 1, 2, 0, -5, 1, 2, 1, 1, ],
[3, 1, 0, 1, 0, -4, 1, 0, 1, -2, 0, 0, 1, 0, ]])
y_small = [1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0,
0, 0]
y_small_reg = [1.0, 2.1, 1.2, 0.05, 10, 2.4, 3.1, 1.01, 0.01, 2.98, 3.1, 1.1,
0.0, 1.2, 2, 11, 0, 0, 4.5, 0.201, 1.06, 0.9, 0]
# toy sample
X = [[-2, -1], [-1, -1], [-1, -2], [1, 1], [1, 2], [2, 1]]
y = [-1, -1, -1, 1, 1, 1]
T = [[-1, -1], [2, 2], [3, 2]]
true_result = [-1, 1, 1]
# also load the iris dataset
# and randomly permute it
iris = datasets.load_iris()
rng = np.random.RandomState(1)
perm = rng.permutation(iris.target.size)
iris.data = iris.data[perm]
iris.target = iris.target[perm]
# also load the boston dataset
# and randomly permute it
boston = datasets.load_boston()
perm = rng.permutation(boston.target.size)
boston.data = boston.data[perm]
boston.target = boston.target[perm]
digits = datasets.load_digits()
perm = rng.permutation(digits.target.size)
digits.data = digits.data[perm]
digits.target = digits.target[perm]
random_state = check_random_state(0)
X_multilabel, y_multilabel = datasets.make_multilabel_classification(
random_state=0, return_indicator=True, n_samples=30, n_features=10)
X_sparse_pos = random_state.uniform(size=(20, 5))
X_sparse_pos[X_sparse_pos <= 0.8] = 0.
y_random = random_state.randint(0, 4, size=(20, ))
X_sparse_mix = sparse_random_matrix(20, 10, density=0.25, random_state=0)
DATASETS = {
"iris": {"X": iris.data, "y": iris.target},
"boston": {"X": boston.data, "y": boston.target},
"digits": {"X": digits.data, "y": digits.target},
"toy": {"X": X, "y": y},
"clf_small": {"X": X_small, "y": y_small},
"reg_small": {"X": X_small, "y": y_small_reg},
"multilabel": {"X": X_multilabel, "y": y_multilabel},
"sparse-pos": {"X": X_sparse_pos, "y": y_random},
"sparse-neg": {"X": - X_sparse_pos, "y": y_random},
"sparse-mix": {"X": X_sparse_mix, "y": y_random},
"zeros": {"X": np.zeros((20, 3)), "y": y_random}
}
for name in DATASETS:
DATASETS[name]["X_sparse"] = csc_matrix(DATASETS[name]["X"])
def assert_tree_equal(d, s, message):
assert_equal(s.node_count, d.node_count,
"{0}: inequal number of node ({1} != {2})"
"".format(message, s.node_count, d.node_count))
assert_array_equal(d.children_right, s.children_right,
message + ": inequal children_right")
assert_array_equal(d.children_left, s.children_left,
message + ": inequal children_left")
external = d.children_right == TREE_LEAF
internal = np.logical_not(external)
assert_array_equal(d.feature[internal], s.feature[internal],
message + ": inequal features")
assert_array_equal(d.threshold[internal], s.threshold[internal],
message + ": inequal threshold")
assert_array_equal(d.n_node_samples.sum(), s.n_node_samples.sum(),
message + ": inequal sum(n_node_samples)")
assert_array_equal(d.n_node_samples, s.n_node_samples,
message + ": inequal n_node_samples")
assert_almost_equal(d.impurity, s.impurity,
err_msg=message + ": inequal impurity")
assert_array_almost_equal(d.value[external], s.value[external],
err_msg=message + ": inequal value")
def test_classification_toy():
# Check classification on a toy dataset.
for name, Tree in CLF_TREES.items():
clf = Tree(random_state=0)
clf.fit(X, y)
assert_array_equal(clf.predict(T), true_result,
"Failed with {0}".format(name))
clf = Tree(max_features=1, random_state=1)
clf.fit(X, y)
assert_array_equal(clf.predict(T), true_result,
"Failed with {0}".format(name))
def test_weighted_classification_toy():
# Check classification on a weighted toy dataset.
for name, Tree in CLF_TREES.items():
clf = Tree(random_state=0)
clf.fit(X, y, sample_weight=np.ones(len(X)))
assert_array_equal(clf.predict(T), true_result,
"Failed with {0}".format(name))
clf.fit(X, y, sample_weight=np.ones(len(X)) * 0.5)
assert_array_equal(clf.predict(T), true_result,
"Failed with {0}".format(name))
def test_regression_toy():
# Check regression on a toy dataset.
for name, Tree in REG_TREES.items():
reg = Tree(random_state=1)
reg.fit(X, y)
assert_almost_equal(reg.predict(T), true_result,
err_msg="Failed with {0}".format(name))
clf = Tree(max_features=1, random_state=1)
clf.fit(X, y)
assert_almost_equal(reg.predict(T), true_result,
err_msg="Failed with {0}".format(name))
def test_xor():
# Check on a XOR problem
y = np.zeros((10, 10))
y[:5, :5] = 1
y[5:, 5:] = 1
gridx, gridy = np.indices(y.shape)
X = np.vstack([gridx.ravel(), gridy.ravel()]).T
y = y.ravel()
for name, Tree in CLF_TREES.items():
clf = Tree(random_state=0)
clf.fit(X, y)
assert_equal(clf.score(X, y), 1.0,
"Failed with {0}".format(name))
clf = Tree(random_state=0, max_features=1)
clf.fit(X, y)
assert_equal(clf.score(X, y), 1.0,
"Failed with {0}".format(name))
def test_iris():
# Check consistency on dataset iris.
for (name, Tree), criterion in product(CLF_TREES.items(), CLF_CRITERIONS):
clf = Tree(criterion=criterion, random_state=0)
clf.fit(iris.data, iris.target)
score = accuracy_score(clf.predict(iris.data), iris.target)
assert_greater(score, 0.9,
"Failed with {0}, criterion = {1} and score = {2}"
"".format(name, criterion, score))
clf = Tree(criterion=criterion, max_features=2, random_state=0)
clf.fit(iris.data, iris.target)
score = accuracy_score(clf.predict(iris.data), iris.target)
assert_greater(score, 0.5,
"Failed with {0}, criterion = {1} and score = {2}"
"".format(name, criterion, score))
def test_boston():
# Check consistency on dataset boston house prices.
for (name, Tree), criterion in product(REG_TREES.items(), REG_CRITERIONS):
reg = Tree(criterion=criterion, random_state=0)
reg.fit(boston.data, boston.target)
score = mean_squared_error(boston.target, reg.predict(boston.data))
assert_less(score, 1,
"Failed with {0}, criterion = {1} and score = {2}"
"".format(name, criterion, score))
# using fewer features reduces the learning ability of this tree,
# but reduces training time.
reg = Tree(criterion=criterion, max_features=6, random_state=0)
reg.fit(boston.data, boston.target)
score = mean_squared_error(boston.target, reg.predict(boston.data))
assert_less(score, 2,
"Failed with {0}, criterion = {1} and score = {2}"
"".format(name, criterion, score))
def test_probability():
# Predict probabilities using DecisionTreeClassifier.
for name, Tree in CLF_TREES.items():
clf = Tree(max_depth=1, max_features=1, random_state=42)
clf.fit(iris.data, iris.target)
prob_predict = clf.predict_proba(iris.data)
assert_array_almost_equal(np.sum(prob_predict, 1),
np.ones(iris.data.shape[0]),
err_msg="Failed with {0}".format(name))
assert_array_equal(np.argmax(prob_predict, 1),
clf.predict(iris.data),
err_msg="Failed with {0}".format(name))
assert_almost_equal(clf.predict_proba(iris.data),
np.exp(clf.predict_log_proba(iris.data)), 8,
err_msg="Failed with {0}".format(name))
def test_arrayrepr():
# Check the array representation.
# Check resize
X = np.arange(10000)[:, np.newaxis]
y = np.arange(10000)
for name, Tree in REG_TREES.items():
reg = Tree(max_depth=None, random_state=0)
reg.fit(X, y)
def test_pure_set():
# Check when y is pure.
X = [[-2, -1], [-1, -1], [-1, -2], [1, 1], [1, 2], [2, 1]]
y = [1, 1, 1, 1, 1, 1]
for name, TreeClassifier in CLF_TREES.items():
clf = TreeClassifier(random_state=0)
clf.fit(X, y)
assert_array_equal(clf.predict(X), y,
err_msg="Failed with {0}".format(name))
for name, TreeRegressor in REG_TREES.items():
reg = TreeRegressor(random_state=0)
reg.fit(X, y)
assert_almost_equal(clf.predict(X), y,
err_msg="Failed with {0}".format(name))
def test_numerical_stability():
# Check numerical stability.
X = np.array([
[152.08097839, 140.40744019, 129.75102234, 159.90493774],
[142.50700378, 135.81935120, 117.82884979, 162.75781250],
[127.28772736, 140.40744019, 129.75102234, 159.90493774],
[132.37025452, 143.71923828, 138.35694885, 157.84558105],
[103.10237122, 143.71928406, 138.35696411, 157.84559631],
[127.71276855, 143.71923828, 138.35694885, 157.84558105],
[120.91514587, 140.40744019, 129.75102234, 159.90493774]])
y = np.array(
[1., 0.70209277, 0.53896582, 0., 0.90914464, 0.48026916, 0.49622521])
with np.errstate(all="raise"):
for name, Tree in REG_TREES.items():
reg = Tree(random_state=0)
reg.fit(X, y)
reg.fit(X, -y)
reg.fit(-X, y)
reg.fit(-X, -y)
def test_importances():
# Check variable importances.
X, y = datasets.make_classification(n_samples=2000,
n_features=10,
n_informative=3,
n_redundant=0,
n_repeated=0,
shuffle=False,
random_state=0)
for name, Tree in CLF_TREES.items():
clf = Tree(random_state=0)
clf.fit(X, y)
importances = clf.feature_importances_
n_important = np.sum(importances > 0.1)
assert_equal(importances.shape[0], 10, "Failed with {0}".format(name))
assert_equal(n_important, 3, "Failed with {0}".format(name))
X_new = clf.transform(X, threshold="mean")
assert_less(0, X_new.shape[1], "Failed with {0}".format(name))
assert_less(X_new.shape[1], X.shape[1], "Failed with {0}".format(name))
# Check on iris that importances are the same for all builders
clf = DecisionTreeClassifier(random_state=0)
clf.fit(iris.data, iris.target)
clf2 = DecisionTreeClassifier(random_state=0,
max_leaf_nodes=len(iris.data))
clf2.fit(iris.data, iris.target)
assert_array_equal(clf.feature_importances_,
clf2.feature_importances_)
@raises(ValueError)
def test_importances_raises():
# Check if variable importance before fit raises ValueError.
clf = DecisionTreeClassifier()
clf.feature_importances_
def test_importances_gini_equal_mse():
# Check that gini is equivalent to mse for binary output variable
X, y = datasets.make_classification(n_samples=2000,
n_features=10,
n_informative=3,
n_redundant=0,
n_repeated=0,
shuffle=False,
random_state=0)
# The gini index and the mean square error (variance) might differ due
# to numerical instability. Since those instabilities mainly occurs at
# high tree depth, we restrict this maximal depth.
clf = DecisionTreeClassifier(criterion="gini", max_depth=5,
random_state=0).fit(X, y)
reg = DecisionTreeRegressor(criterion="mse", max_depth=5,
random_state=0).fit(X, y)
assert_almost_equal(clf.feature_importances_, reg.feature_importances_)
assert_array_equal(clf.tree_.feature, reg.tree_.feature)
assert_array_equal(clf.tree_.children_left, reg.tree_.children_left)
assert_array_equal(clf.tree_.children_right, reg.tree_.children_right)
assert_array_equal(clf.tree_.n_node_samples, reg.tree_.n_node_samples)
def test_max_features():
# Check max_features.
for name, TreeRegressor in REG_TREES.items():
reg = TreeRegressor(max_features="auto")
reg.fit(boston.data, boston.target)
assert_equal(reg.max_features_, boston.data.shape[1])
for name, TreeClassifier in CLF_TREES.items():
clf = TreeClassifier(max_features="auto")
clf.fit(iris.data, iris.target)
assert_equal(clf.max_features_, 2)
for name, TreeEstimator in ALL_TREES.items():
est = TreeEstimator(max_features="sqrt")
est.fit(iris.data, iris.target)
assert_equal(est.max_features_,
int(np.sqrt(iris.data.shape[1])))
est = TreeEstimator(max_features="log2")
est.fit(iris.data, iris.target)
assert_equal(est.max_features_,
int(np.log2(iris.data.shape[1])))
est = TreeEstimator(max_features=1)
est.fit(iris.data, iris.target)
assert_equal(est.max_features_, 1)
est = TreeEstimator(max_features=3)
est.fit(iris.data, iris.target)
assert_equal(est.max_features_, 3)
est = TreeEstimator(max_features=0.01)
est.fit(iris.data, iris.target)
assert_equal(est.max_features_, 1)
est = TreeEstimator(max_features=0.5)
est.fit(iris.data, iris.target)
assert_equal(est.max_features_,
int(0.5 * iris.data.shape[1]))
est = TreeEstimator(max_features=1.0)
est.fit(iris.data, iris.target)
assert_equal(est.max_features_, iris.data.shape[1])
est = TreeEstimator(max_features=None)
est.fit(iris.data, iris.target)
assert_equal(est.max_features_, iris.data.shape[1])
# use values of max_features that are invalid
est = TreeEstimator(max_features=10)
assert_raises(ValueError, est.fit, X, y)
est = TreeEstimator(max_features=-1)
assert_raises(ValueError, est.fit, X, y)
est = TreeEstimator(max_features=0.0)
assert_raises(ValueError, est.fit, X, y)
est = TreeEstimator(max_features=1.5)
assert_raises(ValueError, est.fit, X, y)
est = TreeEstimator(max_features="foobar")
assert_raises(ValueError, est.fit, X, y)
def test_error():
# Test that it gives proper exception on deficient input.
for name, TreeEstimator in CLF_TREES.items():
# predict before fit
est = TreeEstimator()
assert_raises(NotFittedError, est.predict_proba, X)
est.fit(X, y)
X2 = [-2, -1, 1] # wrong feature shape for sample
assert_raises(ValueError, est.predict_proba, X2)
for name, TreeEstimator in ALL_TREES.items():
# Invalid values for parameters
assert_raises(ValueError, TreeEstimator(min_samples_leaf=-1).fit, X, y)
assert_raises(ValueError,
TreeEstimator(min_weight_fraction_leaf=-1).fit,
X, y)
assert_raises(ValueError,
TreeEstimator(min_weight_fraction_leaf=0.51).fit,
X, y)
assert_raises(ValueError, TreeEstimator(min_samples_split=-1).fit,
X, y)
assert_raises(ValueError, TreeEstimator(max_depth=-1).fit, X, y)
assert_raises(ValueError, TreeEstimator(max_features=42).fit, X, y)
# Wrong dimensions
est = TreeEstimator()
y2 = y[:-1]
assert_raises(ValueError, est.fit, X, y2)
# Test with arrays that are non-contiguous.
Xf = np.asfortranarray(X)
est = TreeEstimator()
est.fit(Xf, y)
assert_almost_equal(est.predict(T), true_result)
# predict before fitting
est = TreeEstimator()
assert_raises(NotFittedError, est.predict, T)
# predict on vector with different dims
est.fit(X, y)
t = np.asarray(T)
assert_raises(ValueError, est.predict, t[:, 1:])
# wrong sample shape
Xt = np.array(X).T
est = TreeEstimator()
est.fit(np.dot(X, Xt), y)
assert_raises(ValueError, est.predict, X)
assert_raises(ValueError, est.apply, X)
clf = TreeEstimator()
clf.fit(X, y)
assert_raises(ValueError, clf.predict, Xt)
assert_raises(ValueError, clf.apply, Xt)
# apply before fitting
est = TreeEstimator()
assert_raises(NotFittedError, est.apply, T)
def test_min_samples_leaf():
# Test if leaves contain more than leaf_count training examples
X = np.asfortranarray(iris.data.astype(tree._tree.DTYPE))
y = iris.target
# test both DepthFirstTreeBuilder and BestFirstTreeBuilder
# by setting max_leaf_nodes
for max_leaf_nodes in (None, 1000):
for name, TreeEstimator in ALL_TREES.items():
est = TreeEstimator(min_samples_leaf=5,
max_leaf_nodes=max_leaf_nodes,
random_state=0)
est.fit(X, y)
out = est.tree_.apply(X)
node_counts = np.bincount(out)
# drop inner nodes
leaf_count = node_counts[node_counts != 0]
assert_greater(np.min(leaf_count), 4,
"Failed with {0}".format(name))
def check_min_weight_fraction_leaf(name, datasets, sparse=False):
"""Test if leaves contain at least min_weight_fraction_leaf of the
training set"""
if sparse:
X = DATASETS[datasets]["X_sparse"].astype(np.float32)
else:
X = DATASETS[datasets]["X"].astype(np.float32)
y = DATASETS[datasets]["y"]
weights = rng.rand(X.shape[0])
total_weight = np.sum(weights)
TreeEstimator = ALL_TREES[name]
# test both DepthFirstTreeBuilder and BestFirstTreeBuilder
# by setting max_leaf_nodes
for max_leaf_nodes, frac in product((None, 1000), np.linspace(0, 0.5, 6)):
est = TreeEstimator(min_weight_fraction_leaf=frac,
max_leaf_nodes=max_leaf_nodes,
random_state=0)
est.fit(X, y, sample_weight=weights)
if sparse:
out = est.tree_.apply(X.tocsr())
else:
out = est.tree_.apply(X)
node_weights = np.bincount(out, weights=weights)
# drop inner nodes
leaf_weights = node_weights[node_weights != 0]
assert_greater_equal(
np.min(leaf_weights),
total_weight * est.min_weight_fraction_leaf,
"Failed with {0} "
"min_weight_fraction_leaf={1}".format(
name, est.min_weight_fraction_leaf))
def test_min_weight_fraction_leaf():
# Check on dense input
for name in ALL_TREES:
yield check_min_weight_fraction_leaf, name, "iris"
# Check on sparse input
for name in SPARSE_TREES:
yield check_min_weight_fraction_leaf, name, "multilabel", True
def test_pickle():
# Check that tree estimator are pickable
for name, TreeClassifier in CLF_TREES.items():
clf = TreeClassifier(random_state=0)
clf.fit(iris.data, iris.target)
score = clf.score(iris.data, iris.target)
serialized_object = pickle.dumps(clf)
clf2 = pickle.loads(serialized_object)
assert_equal(type(clf2), clf.__class__)
score2 = clf2.score(iris.data, iris.target)
assert_equal(score, score2, "Failed to generate same score "
"after pickling (classification) "
"with {0}".format(name))
for name, TreeRegressor in REG_TREES.items():
reg = TreeRegressor(random_state=0)
reg.fit(boston.data, boston.target)
score = reg.score(boston.data, boston.target)
serialized_object = pickle.dumps(reg)
reg2 = pickle.loads(serialized_object)
assert_equal(type(reg2), reg.__class__)
score2 = reg2.score(boston.data, boston.target)
assert_equal(score, score2, "Failed to generate same score "
"after pickling (regression) "
"with {0}".format(name))
def test_multioutput():
# Check estimators on multi-output problems.
X = [[-2, -1],
[-1, -1],
[-1, -2],
[1, 1],
[1, 2],
[2, 1],
[-2, 1],
[-1, 1],
[-1, 2],
[2, -1],
[1, -1],
[1, -2]]
y = [[-1, 0],
[-1, 0],
[-1, 0],
[1, 1],
[1, 1],
[1, 1],
[-1, 2],
[-1, 2],
[-1, 2],
[1, 3],
[1, 3],
[1, 3]]
T = [[-1, -1], [1, 1], [-1, 1], [1, -1]]
y_true = [[-1, 0], [1, 1], [-1, 2], [1, 3]]
# toy classification problem
for name, TreeClassifier in CLF_TREES.items():
clf = TreeClassifier(random_state=0)
y_hat = clf.fit(X, y).predict(T)
assert_array_equal(y_hat, y_true)
assert_equal(y_hat.shape, (4, 2))
proba = clf.predict_proba(T)
assert_equal(len(proba), 2)
assert_equal(proba[0].shape, (4, 2))
assert_equal(proba[1].shape, (4, 4))
log_proba = clf.predict_log_proba(T)
assert_equal(len(log_proba), 2)
assert_equal(log_proba[0].shape, (4, 2))
assert_equal(log_proba[1].shape, (4, 4))
# toy regression problem
for name, TreeRegressor in REG_TREES.items():
reg = TreeRegressor(random_state=0)
y_hat = reg.fit(X, y).predict(T)
assert_almost_equal(y_hat, y_true)
assert_equal(y_hat.shape, (4, 2))
def test_classes_shape():
# Test that n_classes_ and classes_ have proper shape.
for name, TreeClassifier in CLF_TREES.items():
# Classification, single output
clf = TreeClassifier(random_state=0)
clf.fit(X, y)
assert_equal(clf.n_classes_, 2)
assert_array_equal(clf.classes_, [-1, 1])
# Classification, multi-output
_y = np.vstack((y, np.array(y) * 2)).T
clf = TreeClassifier(random_state=0)
clf.fit(X, _y)
assert_equal(len(clf.n_classes_), 2)
assert_equal(len(clf.classes_), 2)
assert_array_equal(clf.n_classes_, [2, 2])
assert_array_equal(clf.classes_, [[-1, 1], [-2, 2]])
def test_unbalanced_iris():
# Check class rebalancing.
unbalanced_X = iris.data[:125]
unbalanced_y = iris.target[:125]
sample_weight = _balance_weights(unbalanced_y)
for name, TreeClassifier in CLF_TREES.items():
clf = TreeClassifier(random_state=0)
clf.fit(unbalanced_X, unbalanced_y, sample_weight=sample_weight)
assert_almost_equal(clf.predict(unbalanced_X), unbalanced_y)
def test_memory_layout():
# Check that it works no matter the memory layout
for (name, TreeEstimator), dtype in product(ALL_TREES.items(),
[np.float64, np.float32]):
est = TreeEstimator(random_state=0)
# Nothing
X = np.asarray(iris.data, dtype=dtype)
y = iris.target
assert_array_equal(est.fit(X, y).predict(X), y)
# C-order
X = np.asarray(iris.data, order="C", dtype=dtype)
y = iris.target
assert_array_equal(est.fit(X, y).predict(X), y)
# F-order
X = np.asarray(iris.data, order="F", dtype=dtype)
y = iris.target
assert_array_equal(est.fit(X, y).predict(X), y)
# Contiguous
X = np.ascontiguousarray(iris.data, dtype=dtype)
y = iris.target
assert_array_equal(est.fit(X, y).predict(X), y)
if est.splitter in SPARSE_SPLITTERS:
# csr matrix
X = csr_matrix(iris.data, dtype=dtype)
y = iris.target
assert_array_equal(est.fit(X, y).predict(X), y)
# csc_matrix
X = csc_matrix(iris.data, dtype=dtype)
y = iris.target
assert_array_equal(est.fit(X, y).predict(X), y)
# Strided
X = np.asarray(iris.data[::3], dtype=dtype)
y = iris.target[::3]
assert_array_equal(est.fit(X, y).predict(X), y)
def test_sample_weight():
# Check sample weighting.
# Test that zero-weighted samples are not taken into account
X = np.arange(100)[:, np.newaxis]
y = np.ones(100)
y[:50] = 0.0
sample_weight = np.ones(100)
sample_weight[y == 0] = 0.0
clf = DecisionTreeClassifier(random_state=0)
clf.fit(X, y, sample_weight=sample_weight)
assert_array_equal(clf.predict(X), np.ones(100))
# Test that low weighted samples are not taken into account at low depth
X = np.arange(200)[:, np.newaxis]
y = np.zeros(200)
y[50:100] = 1
y[100:200] = 2
X[100:200, 0] = 200
sample_weight = np.ones(200)
sample_weight[y == 2] = .51 # Samples of class '2' are still weightier
clf = DecisionTreeClassifier(max_depth=1, random_state=0)
clf.fit(X, y, sample_weight=sample_weight)
assert_equal(clf.tree_.threshold[0], 149.5)
sample_weight[y == 2] = .5 # Samples of class '2' are no longer weightier
clf = DecisionTreeClassifier(max_depth=1, random_state=0)
clf.fit(X, y, sample_weight=sample_weight)
assert_equal(clf.tree_.threshold[0], 49.5) # Threshold should have moved
# Test that sample weighting is the same as having duplicates
X = iris.data
y = iris.target
duplicates = rng.randint(0, X.shape[0], 200)
clf = DecisionTreeClassifier(random_state=1)
clf.fit(X[duplicates], y[duplicates])
sample_weight = np.bincount(duplicates, minlength=X.shape[0])
clf2 = DecisionTreeClassifier(random_state=1)
clf2.fit(X, y, sample_weight=sample_weight)
internal = clf.tree_.children_left != tree._tree.TREE_LEAF
assert_array_almost_equal(clf.tree_.threshold[internal],
clf2.tree_.threshold[internal])
def test_sample_weight_invalid():
# Check sample weighting raises errors.
X = np.arange(100)[:, np.newaxis]
y = np.ones(100)
y[:50] = 0.0
clf = DecisionTreeClassifier(random_state=0)
sample_weight = np.random.rand(100, 1)
assert_raises(ValueError, clf.fit, X, y, sample_weight=sample_weight)
sample_weight = np.array(0)
assert_raises(ValueError, clf.fit, X, y, sample_weight=sample_weight)
sample_weight = np.ones(101)
assert_raises(ValueError, clf.fit, X, y, sample_weight=sample_weight)
sample_weight = np.ones(99)
assert_raises(ValueError, clf.fit, X, y, sample_weight=sample_weight)
def check_class_weights(name):
"""Check class_weights resemble sample_weights behavior."""
TreeClassifier = CLF_TREES[name]
# Iris is balanced, so no effect expected for using 'balanced' weights
clf1 = TreeClassifier(random_state=0)
clf1.fit(iris.data, iris.target)
clf2 = TreeClassifier(class_weight='balanced', random_state=0)
clf2.fit(iris.data, iris.target)
assert_almost_equal(clf1.feature_importances_, clf2.feature_importances_)
# Make a multi-output problem with three copies of Iris
iris_multi = np.vstack((iris.target, iris.target, iris.target)).T
# Create user-defined weights that should balance over the outputs
clf3 = TreeClassifier(class_weight=[{0: 2., 1: 2., 2: 1.},
{0: 2., 1: 1., 2: 2.},
{0: 1., 1: 2., 2: 2.}],
random_state=0)
clf3.fit(iris.data, iris_multi)
assert_almost_equal(clf2.feature_importances_, clf3.feature_importances_)
# Check against multi-output "auto" which should also have no effect
clf4 = TreeClassifier(class_weight='balanced', random_state=0)
clf4.fit(iris.data, iris_multi)
assert_almost_equal(clf3.feature_importances_, clf4.feature_importances_)
# Inflate importance of class 1, check against user-defined weights
sample_weight = np.ones(iris.target.shape)
sample_weight[iris.target == 1] *= 100
class_weight = {0: 1., 1: 100., 2: 1.}
clf1 = TreeClassifier(random_state=0)
clf1.fit(iris.data, iris.target, sample_weight)
clf2 = TreeClassifier(class_weight=class_weight, random_state=0)
clf2.fit(iris.data, iris.target)
assert_almost_equal(clf1.feature_importances_, clf2.feature_importances_)
# Check that sample_weight and class_weight are multiplicative
clf1 = TreeClassifier(random_state=0)
clf1.fit(iris.data, iris.target, sample_weight ** 2)
clf2 = TreeClassifier(class_weight=class_weight, random_state=0)
clf2.fit(iris.data, iris.target, sample_weight)
assert_almost_equal(clf1.feature_importances_, clf2.feature_importances_)
def test_class_weights():
for name in CLF_TREES:
yield check_class_weights, name
def check_class_weight_errors(name):
# Test if class_weight raises errors and warnings when expected.
TreeClassifier = CLF_TREES[name]
_y = np.vstack((y, np.array(y) * 2)).T
# Invalid preset string
clf = TreeClassifier(class_weight='the larch', random_state=0)
assert_raises(ValueError, clf.fit, X, y)
assert_raises(ValueError, clf.fit, X, _y)
# Not a list or preset for multi-output
clf = TreeClassifier(class_weight=1, random_state=0)
assert_raises(ValueError, clf.fit, X, _y)
# Incorrect length list for multi-output
clf = TreeClassifier(class_weight=[{-1: 0.5, 1: 1.}], random_state=0)
assert_raises(ValueError, clf.fit, X, _y)
def test_class_weight_errors():
for name in CLF_TREES:
yield check_class_weight_errors, name
def test_max_leaf_nodes():
# Test greedy trees with max_depth + 1 leafs.
from sklearn.tree._tree import TREE_LEAF
X, y = datasets.make_hastie_10_2(n_samples=100, random_state=1)
k = 4
for name, TreeEstimator in ALL_TREES.items():
est = TreeEstimator(max_depth=None, max_leaf_nodes=k + 1).fit(X, y)
tree = est.tree_
assert_equal((tree.children_left == TREE_LEAF).sum(), k + 1)
# max_leaf_nodes in (0, 1) should raise ValueError
est = TreeEstimator(max_depth=None, max_leaf_nodes=0)
assert_raises(ValueError, est.fit, X, y)
est = TreeEstimator(max_depth=None, max_leaf_nodes=1)
assert_raises(ValueError, est.fit, X, y)
est = TreeEstimator(max_depth=None, max_leaf_nodes=0.1)
assert_raises(ValueError, est.fit, X, y)
def test_max_leaf_nodes_max_depth():
# Test preceedence of max_leaf_nodes over max_depth.
X, y = datasets.make_hastie_10_2(n_samples=100, random_state=1)
k = 4
for name, TreeEstimator in ALL_TREES.items():
est = TreeEstimator(max_depth=1, max_leaf_nodes=k).fit(X, y)
tree = est.tree_
assert_greater(tree.max_depth, 1)
def test_arrays_persist():
# Ensure property arrays' memory stays alive when tree disappears
# non-regression for #2726
for attr in ['n_classes', 'value', 'children_left', 'children_right',
'threshold', 'impurity', 'feature', 'n_node_samples']:
value = getattr(DecisionTreeClassifier().fit([[0]], [0]).tree_, attr)
# if pointing to freed memory, contents may be arbitrary
assert_true(-2 <= value.flat[0] < 2,
'Array points to arbitrary memory')
def test_only_constant_features():
random_state = check_random_state(0)
X = np.zeros((10, 20))
y = random_state.randint(0, 2, (10, ))
for name, TreeEstimator in ALL_TREES.items():
est = TreeEstimator(random_state=0)
est.fit(X, y)
assert_equal(est.tree_.max_depth, 0)
def test_with_only_one_non_constant_features():
X = np.hstack([np.array([[1.], [1.], [0.], [0.]]),
np.zeros((4, 1000))])
y = np.array([0., 1., 0., 1.0])
for name, TreeEstimator in CLF_TREES.items():
est = TreeEstimator(random_state=0, max_features=1)
est.fit(X, y)
assert_equal(est.tree_.max_depth, 1)
assert_array_equal(est.predict_proba(X), 0.5 * np.ones((4, 2)))
for name, TreeEstimator in REG_TREES.items():
est = TreeEstimator(random_state=0, max_features=1)
est.fit(X, y)
assert_equal(est.tree_.max_depth, 1)
assert_array_equal(est.predict(X), 0.5 * np.ones((4, )))
def test_big_input():
# Test if the warning for too large inputs is appropriate.
X = np.repeat(10 ** 40., 4).astype(np.float64).reshape(-1, 1)
clf = DecisionTreeClassifier()
try:
clf.fit(X, [0, 1, 0, 1])
except ValueError as e:
assert_in("float32", str(e))
def test_realloc():
from sklearn.tree._tree import _realloc_test
assert_raises(MemoryError, _realloc_test)
def test_huge_allocations():
n_bits = int(platform.architecture()[0].rstrip('bit'))
X = np.random.randn(10, 2)
y = np.random.randint(0, 2, 10)
# Sanity check: we cannot request more memory than the size of the address
# space. Currently raises OverflowError.
huge = 2 ** (n_bits + 1)
clf = DecisionTreeClassifier(splitter='best', max_leaf_nodes=huge)
assert_raises(Exception, clf.fit, X, y)
# Non-regression test: MemoryError used to be dropped by Cython
# because of missing "except *".
huge = 2 ** (n_bits - 1) - 1
clf = DecisionTreeClassifier(splitter='best', max_leaf_nodes=huge)
assert_raises(MemoryError, clf.fit, X, y)
def check_sparse_input(tree, dataset, max_depth=None):
TreeEstimator = ALL_TREES[tree]
X = DATASETS[dataset]["X"]
X_sparse = DATASETS[dataset]["X_sparse"]
y = DATASETS[dataset]["y"]
# Gain testing time
if dataset in ["digits", "boston"]:
n_samples = X.shape[0] // 5
X = X[:n_samples]
X_sparse = X_sparse[:n_samples]
y = y[:n_samples]
for sparse_format in (csr_matrix, csc_matrix, coo_matrix):
X_sparse = sparse_format(X_sparse)
# Check the default (depth first search)
d = TreeEstimator(random_state=0, max_depth=max_depth).fit(X, y)
s = TreeEstimator(random_state=0, max_depth=max_depth).fit(X_sparse, y)
assert_tree_equal(d.tree_, s.tree_,
"{0} with dense and sparse format gave different "
"trees".format(tree))
y_pred = d.predict(X)
if tree in CLF_TREES:
y_proba = d.predict_proba(X)
y_log_proba = d.predict_log_proba(X)
for sparse_matrix in (csr_matrix, csc_matrix, coo_matrix):
X_sparse_test = sparse_matrix(X_sparse, dtype=np.float32)
assert_array_almost_equal(s.predict(X_sparse_test), y_pred)
if tree in CLF_TREES:
assert_array_almost_equal(s.predict_proba(X_sparse_test),
y_proba)
assert_array_almost_equal(s.predict_log_proba(X_sparse_test),
y_log_proba)
def test_sparse_input():
for tree, dataset in product(SPARSE_TREES,
("clf_small", "toy", "digits", "multilabel",
"sparse-pos", "sparse-neg", "sparse-mix",
"zeros")):
max_depth = 3 if dataset == "digits" else None
yield (check_sparse_input, tree, dataset, max_depth)
# Due to numerical instability of MSE and too strict test, we limit the
# maximal depth
for tree, dataset in product(REG_TREES, ["boston", "reg_small"]):
if tree in SPARSE_TREES:
yield (check_sparse_input, tree, dataset, 2)
def check_sparse_parameters(tree, dataset):
TreeEstimator = ALL_TREES[tree]
X = DATASETS[dataset]["X"]
X_sparse = DATASETS[dataset]["X_sparse"]
y = DATASETS[dataset]["y"]
# Check max_features
d = TreeEstimator(random_state=0, max_features=1, max_depth=2).fit(X, y)
s = TreeEstimator(random_state=0, max_features=1,
max_depth=2).fit(X_sparse, y)
assert_tree_equal(d.tree_, s.tree_,
"{0} with dense and sparse format gave different "
"trees".format(tree))
assert_array_almost_equal(s.predict(X), d.predict(X))
# Check min_samples_split
d = TreeEstimator(random_state=0, max_features=1,
min_samples_split=10).fit(X, y)
s = TreeEstimator(random_state=0, max_features=1,
min_samples_split=10).fit(X_sparse, y)
assert_tree_equal(d.tree_, s.tree_,
"{0} with dense and sparse format gave different "
"trees".format(tree))
assert_array_almost_equal(s.predict(X), d.predict(X))
# Check min_samples_leaf
d = TreeEstimator(random_state=0,
min_samples_leaf=X_sparse.shape[0] // 2).fit(X, y)
s = TreeEstimator(random_state=0,
min_samples_leaf=X_sparse.shape[0] // 2).fit(X_sparse, y)
assert_tree_equal(d.tree_, s.tree_,
"{0} with dense and sparse format gave different "
"trees".format(tree))
assert_array_almost_equal(s.predict(X), d.predict(X))
# Check best-first search
d = TreeEstimator(random_state=0, max_leaf_nodes=3).fit(X, y)
s = TreeEstimator(random_state=0, max_leaf_nodes=3).fit(X_sparse, y)
assert_tree_equal(d.tree_, s.tree_,
"{0} with dense and sparse format gave different "
"trees".format(tree))
assert_array_almost_equal(s.predict(X), d.predict(X))
def test_sparse_parameters():
for tree, dataset in product(SPARSE_TREES,
["sparse-pos", "sparse-neg", "sparse-mix",
"zeros"]):
yield (check_sparse_parameters, tree, dataset)
def check_sparse_criterion(tree, dataset):
TreeEstimator = ALL_TREES[tree]
X = DATASETS[dataset]["X"]
X_sparse = DATASETS[dataset]["X_sparse"]
y = DATASETS[dataset]["y"]
# Check various criterion
CRITERIONS = REG_CRITERIONS if tree in REG_TREES else CLF_CRITERIONS
for criterion in CRITERIONS:
d = TreeEstimator(random_state=0, max_depth=3,
criterion=criterion).fit(X, y)
s = TreeEstimator(random_state=0, max_depth=3,
criterion=criterion).fit(X_sparse, y)
assert_tree_equal(d.tree_, s.tree_,
"{0} with dense and sparse format gave different "
"trees".format(tree))
assert_array_almost_equal(s.predict(X), d.predict(X))
def test_sparse_criterion():
for tree, dataset in product(SPARSE_TREES,
["sparse-pos", "sparse-neg", "sparse-mix",
"zeros"]):
yield (check_sparse_criterion, tree, dataset)
def check_explicit_sparse_zeros(tree, max_depth=3,
n_features=10):
TreeEstimator = ALL_TREES[tree]
# n_samples set n_feature to ease construction of a simultaneous
# construction of a csr and csc matrix
n_samples = n_features
samples = np.arange(n_samples)
# Generate X, y
random_state = check_random_state(0)
indices = []
data = []
offset = 0
indptr = [offset]
for i in range(n_features):
n_nonzero_i = random_state.binomial(n_samples, 0.5)
indices_i = random_state.permutation(samples)[:n_nonzero_i]
indices.append(indices_i)
data_i = random_state.binomial(3, 0.5, size=(n_nonzero_i, )) - 1
data.append(data_i)
offset += n_nonzero_i
indptr.append(offset)
indices = np.concatenate(indices)
data = np.array(np.concatenate(data), dtype=np.float32)
X_sparse = csc_matrix((data, indices, indptr),
shape=(n_samples, n_features))
X = X_sparse.toarray()
X_sparse_test = csr_matrix((data, indices, indptr),
shape=(n_samples, n_features))
X_test = X_sparse_test.toarray()
y = random_state.randint(0, 3, size=(n_samples, ))
# Ensure that X_sparse_test owns its data, indices and indptr array
X_sparse_test = X_sparse_test.copy()
# Ensure that we have explicit zeros
assert_greater((X_sparse.data == 0.).sum(), 0)
assert_greater((X_sparse_test.data == 0.).sum(), 0)
# Perform the comparison
d = TreeEstimator(random_state=0, max_depth=max_depth).fit(X, y)
s = TreeEstimator(random_state=0, max_depth=max_depth).fit(X_sparse, y)
assert_tree_equal(d.tree_, s.tree_,
"{0} with dense and sparse format gave different "
"trees".format(tree))
Xs = (X_test, X_sparse_test)
for X1, X2 in product(Xs, Xs):
assert_array_almost_equal(s.tree_.apply(X1), d.tree_.apply(X2))
assert_array_almost_equal(s.apply(X1), d.apply(X2))
assert_array_almost_equal(s.apply(X1), s.tree_.apply(X1))
assert_array_almost_equal(s.predict(X1), d.predict(X2))
if tree in CLF_TREES:
assert_array_almost_equal(s.predict_proba(X1),
d.predict_proba(X2))
def test_explicit_sparse_zeros():
for tree in SPARSE_TREES:
yield (check_explicit_sparse_zeros, tree)
def check_raise_error_on_1d_input(name):
TreeEstimator = ALL_TREES[name]
X = iris.data[:, 0].ravel()
X_2d = iris.data[:, 0].reshape((-1, 1))
y = iris.target
assert_raises(ValueError, TreeEstimator(random_state=0).fit, X, y)
est = TreeEstimator(random_state=0)
est.fit(X_2d, y)
assert_raises(ValueError, est.predict, X)
def test_1d_input():
for name in ALL_TREES:
yield check_raise_error_on_1d_input, name
def _check_min_weight_leaf_split_level(TreeEstimator, X, y, sample_weight):
# Private function to keep pretty printing in nose yielded tests
est = TreeEstimator(random_state=0)
est.fit(X, y, sample_weight=sample_weight)
assert_equal(est.tree_.max_depth, 1)
est = TreeEstimator(random_state=0, min_weight_fraction_leaf=0.4)
est.fit(X, y, sample_weight=sample_weight)
assert_equal(est.tree_.max_depth, 0)
def check_min_weight_leaf_split_level(name):
TreeEstimator = ALL_TREES[name]
X = np.array([[0], [0], [0], [0], [1]])
y = [0, 0, 0, 0, 1]
sample_weight = [0.2, 0.2, 0.2, 0.2, 0.2]
_check_min_weight_leaf_split_level(TreeEstimator, X, y, sample_weight)
if TreeEstimator().splitter in SPARSE_SPLITTERS:
_check_min_weight_leaf_split_level(TreeEstimator, csc_matrix(X), y,
sample_weight)
def test_min_weight_leaf_split_level():
for name in ALL_TREES:
yield check_min_weight_leaf_split_level, name
def check_public_apply(name):
X_small32 = X_small.astype(tree._tree.DTYPE)
est = ALL_TREES[name]()
est.fit(X_small, y_small)
assert_array_equal(est.apply(X_small),
est.tree_.apply(X_small32))
def check_public_apply_sparse(name):
X_small32 = csr_matrix(X_small.astype(tree._tree.DTYPE))
est = ALL_TREES[name]()
est.fit(X_small, y_small)
assert_array_equal(est.apply(X_small),
est.tree_.apply(X_small32))
def test_public_apply():
for name in ALL_TREES:
yield (check_public_apply, name)
for name in SPARSE_TREES:
yield (check_public_apply_sparse, name)
| bsd-3-clause |
richardbeare/SimpleITK | Examples/DicomConvert/DicomConvert.py | 4 | 6196 | # =========================================================================
#
# Copyright NumFOCUS
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0.txt
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
#
# =========================================================================
import argparse
import csv
import functools
import itertools
import multiprocessing
import os
import sys
import SimpleITK as sitk
def convert_image(input_file_name, output_file_name, new_width=None):
try:
image_file_reader = sitk.ImageFileReader()
# only read DICOM images
image_file_reader.SetImageIO('GDCMImageIO')
image_file_reader.SetFileName(input_file_name)
image_file_reader.ReadImageInformation()
image_size = list(image_file_reader.GetSize())
if len(image_size) == 3 and image_size[2] == 1:
image_size[2] = 0
image_file_reader.SetExtractSize(image_size)
image = image_file_reader.Execute()
if new_width:
original_size = image.GetSize()
original_spacing = image.GetSpacing()
new_spacing = [(original_size[0] - 1) * original_spacing[0]
/ (new_width - 1)] * 2
new_size = [new_width, int((original_size[1] - 1)
* original_spacing[1] / new_spacing[1])]
image = sitk.Resample(image1=image, size=new_size,
transform=sitk.Transform(),
interpolator=sitk.sitkLinear,
outputOrigin=image.GetOrigin(),
outputSpacing=new_spacing,
outputDirection=image.GetDirection(),
defaultPixelValue=0,
outputPixelType=image.GetPixelID())
# If a single channel image, rescale to [0,255]. Also modify the
# intensity values based on the photometric interpretation. If
# MONOCHROME2 (minimum should be displayed as black) we don't need to
# do anything, if image has MONOCRHOME1 (minimum should be displayed as
# white) we flip # the intensities. This is a constraint imposed by ITK
# which always assumes MONOCHROME2.
if image.GetNumberOfComponentsPerPixel() == 1:
image = sitk.RescaleIntensity(image, 0, 255)
if image_file_reader.GetMetaData('0028|0004').strip() \
== 'MONOCHROME1':
image = sitk.InvertIntensity(image, maximum=255)
image = sitk.Cast(image, sitk.sitkUInt8)
sitk.WriteImage(image, output_file_name)
return True
except BaseException:
return False
def convert_images(input_file_names, output_file_names, new_width):
MAX_PROCESSES = 15
with multiprocessing.Pool(processes=MAX_PROCESSES) as pool:
return pool.starmap(functools.partial(convert_image,
new_width=new_width),
zip(input_file_names, output_file_names))
def positive_int(int_str):
value = int(int_str)
if value <= 0:
raise argparse.ArgumentTypeError(
int_str + ' is not a positive integer value')
return value
def directory(dir_name):
if not os.path.isdir(dir_name):
raise argparse.ArgumentTypeError(dir_name +
' is not a valid directory name')
return dir_name
def main(argv=None):
parser = argparse.ArgumentParser(
description='Convert and resize DICOM files to common image types.')
parser.add_argument('root_of_data_directory', type=directory,
help='Path to the topmost directory containing data.')
parser.add_argument(
'output_file_extension',
help='Image file extension, this determines output file type '
'(e.g. png) .')
parser.add_argument('--w', type=positive_int,
help='Width of converted images.')
parser.add_argument('--od', type=directory, help='Output directory.')
args = parser.parse_args(argv)
input_file_names = []
for dir_name, subdir_names, file_names in os.walk(
args.root_of_data_directory):
input_file_names += [os.path.join(os.path.abspath(dir_name), fname)
for fname in file_names]
if args.od:
# if all output files are written to the same directory we need them
# to have a unique name, so use an index.
file_names = [os.path.join(os.path.abspath(args.od), str(i))
for i in range(len(input_file_names))]
else:
file_names = input_file_names
output_file_names = [file_name + '.' + args.output_file_extension
for file_name in file_names]
res = convert_images(input_file_names, output_file_names, args.w)
input_file_names = list(itertools.compress(input_file_names, res))
output_file_names = list(itertools.compress(output_file_names, res))
# save csv file mapping input and output file names.
# using csv module and not pandas so as not to create more dependencies
# for the examples. pandas based code is more elegant/shorter.
dir_name = args.od if args.od else os.getcwd()
with open(os.path.join(dir_name, 'file_names.csv'), mode='w') as fp:
fp_writer = csv.writer(fp, delimiter=',', quotechar='"',
quoting=csv.QUOTE_MINIMAL)
fp_writer.writerow(['input file name', 'output file name'])
for data in zip(input_file_names, output_file_names):
fp_writer.writerow(data)
if __name__ == "__main__":
sys.exit(main())
| apache-2.0 |
nan86150/ImageFusion | lib/python2.7/site-packages/scipy/interpolate/interpolate.py | 18 | 80196 | """ Classes for interpolating values.
"""
from __future__ import division, print_function, absolute_import
__all__ = ['interp1d', 'interp2d', 'spline', 'spleval', 'splmake', 'spltopp',
'ppform', 'lagrange', 'PPoly', 'BPoly', 'RegularGridInterpolator',
'interpn']
import itertools
from numpy import (shape, sometrue, array, transpose, searchsorted,
ones, logical_or, atleast_1d, atleast_2d, ravel,
dot, poly1d, asarray, intp)
import numpy as np
import scipy.linalg
import scipy.special as spec
from scipy.special import comb
import math
import warnings
import functools
import operator
from scipy._lib.six import xrange, integer_types
from . import fitpack
from . import dfitpack
from . import _fitpack
from .polyint import _Interpolator1D
from . import _ppoly
from .fitpack2 import RectBivariateSpline
from .interpnd import _ndim_coords_from_arrays
def reduce_sometrue(a):
all = a
while len(shape(all)) > 1:
all = sometrue(all, axis=0)
return all
def prod(x):
"""Product of a list of numbers; ~40x faster vs np.prod for Python tuples"""
if len(x) == 0:
return 1
return functools.reduce(operator.mul, x)
def lagrange(x, w):
"""
Return a Lagrange interpolating polynomial.
Given two 1-D arrays `x` and `w,` returns the Lagrange interpolating
polynomial through the points ``(x, w)``.
Warning: This implementation is numerically unstable. Do not expect to
be able to use more than about 20 points even if they are chosen optimally.
Parameters
----------
x : array_like
`x` represents the x-coordinates of a set of datapoints.
w : array_like
`w` represents the y-coordinates of a set of datapoints, i.e. f(`x`).
Returns
-------
lagrange : numpy.poly1d instance
The Lagrange interpolating polynomial.
"""
M = len(x)
p = poly1d(0.0)
for j in xrange(M):
pt = poly1d(w[j])
for k in xrange(M):
if k == j:
continue
fac = x[j]-x[k]
pt *= poly1d([1.0, -x[k]])/fac
p += pt
return p
# !! Need to find argument for keeping initialize. If it isn't
# !! found, get rid of it!
class interp2d(object):
"""
interp2d(x, y, z, kind='linear', copy=True, bounds_error=False,
fill_value=nan)
Interpolate over a 2-D grid.
`x`, `y` and `z` are arrays of values used to approximate some function
f: ``z = f(x, y)``. This class returns a function whose call method uses
spline interpolation to find the value of new points.
If `x` and `y` represent a regular grid, consider using
RectBivariateSpline.
Methods
-------
__call__
Parameters
----------
x, y : array_like
Arrays defining the data point coordinates.
If the points lie on a regular grid, `x` can specify the column
coordinates and `y` the row coordinates, for example::
>>> x = [0,1,2]; y = [0,3]; z = [[1,2,3], [4,5,6]]
Otherwise, `x` and `y` must specify the full coordinates for each
point, for example::
>>> x = [0,1,2,0,1,2]; y = [0,0,0,3,3,3]; z = [1,2,3,4,5,6]
If `x` and `y` are multi-dimensional, they are flattened before use.
z : array_like
The values of the function to interpolate at the data points. If
`z` is a multi-dimensional array, it is flattened before use. The
length of a flattened `z` array is either
len(`x`)*len(`y`) if `x` and `y` specify the column and row coordinates
or ``len(z) == len(x) == len(y)`` if `x` and `y` specify coordinates
for each point.
kind : {'linear', 'cubic', 'quintic'}, optional
The kind of spline interpolation to use. Default is 'linear'.
copy : bool, optional
If True, the class makes internal copies of x, y and z.
If False, references may be used. The default is to copy.
bounds_error : bool, optional
If True, when interpolated values are requested outside of the
domain of the input data (x,y), a ValueError is raised.
If False, then `fill_value` is used.
fill_value : number, optional
If provided, the value to use for points outside of the
interpolation domain. If omitted (None), values outside
the domain are extrapolated.
Returns
-------
values_x : ndarray, shape xi.shape[:-1] + values.shape[ndim:]
Interpolated values at input coordinates.
See Also
--------
RectBivariateSpline :
Much faster 2D interpolation if your input data is on a grid
bisplrep, bisplev :
Spline interpolation based on FITPACK
BivariateSpline : a more recent wrapper of the FITPACK routines
interp1d : one dimension version of this function
Notes
-----
The minimum number of data points required along the interpolation
axis is ``(k+1)**2``, with k=1 for linear, k=3 for cubic and k=5 for
quintic interpolation.
The interpolator is constructed by `bisplrep`, with a smoothing factor
of 0. If more control over smoothing is needed, `bisplrep` should be
used directly.
Examples
--------
Construct a 2-D grid and interpolate on it:
>>> from scipy import interpolate
>>> x = np.arange(-5.01, 5.01, 0.25)
>>> y = np.arange(-5.01, 5.01, 0.25)
>>> xx, yy = np.meshgrid(x, y)
>>> z = np.sin(xx**2+yy**2)
>>> f = interpolate.interp2d(x, y, z, kind='cubic')
Now use the obtained interpolation function and plot the result:
>>> import matplotlib.pyplot as plt
>>> xnew = np.arange(-5.01, 5.01, 1e-2)
>>> ynew = np.arange(-5.01, 5.01, 1e-2)
>>> znew = f(xnew, ynew)
>>> plt.plot(x, z[0, :], 'ro-', xnew, znew[0, :], 'b-')
>>> plt.show()
"""
def __init__(self, x, y, z, kind='linear', copy=True, bounds_error=False,
fill_value=None):
x = ravel(x)
y = ravel(y)
z = asarray(z)
rectangular_grid = (z.size == len(x) * len(y))
if rectangular_grid:
if z.ndim == 2:
if z.shape != (len(y), len(x)):
raise ValueError("When on a regular grid with x.size = m "
"and y.size = n, if z.ndim == 2, then z "
"must have shape (n, m)")
if not np.all(x[1:] >= x[:-1]):
j = np.argsort(x)
x = x[j]
z = z[:, j]
if not np.all(y[1:] >= y[:-1]):
j = np.argsort(y)
y = y[j]
z = z[j, :]
z = ravel(z.T)
else:
z = ravel(z)
if len(x) != len(y):
raise ValueError(
"x and y must have equal lengths for non rectangular grid")
if len(z) != len(x):
raise ValueError(
"Invalid length for input z for non rectangular grid")
try:
kx = ky = {'linear': 1,
'cubic': 3,
'quintic': 5}[kind]
except KeyError:
raise ValueError("Unsupported interpolation type.")
if not rectangular_grid:
# TODO: surfit is really not meant for interpolation!
self.tck = fitpack.bisplrep(x, y, z, kx=kx, ky=ky, s=0.0)
else:
nx, tx, ny, ty, c, fp, ier = dfitpack.regrid_smth(
x, y, z, None, None, None, None,
kx=kx, ky=ky, s=0.0)
self.tck = (tx[:nx], ty[:ny], c[:(nx - kx - 1) * (ny - ky - 1)],
kx, ky)
self.bounds_error = bounds_error
self.fill_value = fill_value
self.x, self.y, self.z = [array(a, copy=copy) for a in (x, y, z)]
self.x_min, self.x_max = np.amin(x), np.amax(x)
self.y_min, self.y_max = np.amin(y), np.amax(y)
def __call__(self, x, y, dx=0, dy=0, assume_sorted=False):
"""Interpolate the function.
Parameters
----------
x : 1D array
x-coordinates of the mesh on which to interpolate.
y : 1D array
y-coordinates of the mesh on which to interpolate.
dx : int >= 0, < kx
Order of partial derivatives in x.
dy : int >= 0, < ky
Order of partial derivatives in y.
assume_sorted : bool, optional
If False, values of `x` and `y` can be in any order and they are
sorted first.
If True, `x` and `y` have to be arrays of monotonically
increasing values.
Returns
-------
z : 2D array with shape (len(y), len(x))
The interpolated values.
"""
x = atleast_1d(x)
y = atleast_1d(y)
if x.ndim != 1 or y.ndim != 1:
raise ValueError("x and y should both be 1-D arrays")
if not assume_sorted:
x = np.sort(x)
y = np.sort(y)
if self.bounds_error or self.fill_value is not None:
out_of_bounds_x = (x < self.x_min) | (x > self.x_max)
out_of_bounds_y = (y < self.y_min) | (y > self.y_max)
any_out_of_bounds_x = np.any(out_of_bounds_x)
any_out_of_bounds_y = np.any(out_of_bounds_y)
if self.bounds_error and (any_out_of_bounds_x or any_out_of_bounds_y):
raise ValueError("Values out of range; x must be in %r, y in %r"
% ((self.x_min, self.x_max),
(self.y_min, self.y_max)))
z = fitpack.bisplev(x, y, self.tck, dx, dy)
z = atleast_2d(z)
z = transpose(z)
if self.fill_value is not None:
if any_out_of_bounds_x:
z[:, out_of_bounds_x] = self.fill_value
if any_out_of_bounds_y:
z[out_of_bounds_y, :] = self.fill_value
if len(z) == 1:
z = z[0]
return array(z)
class interp1d(_Interpolator1D):
"""
Interpolate a 1-D function.
`x` and `y` are arrays of values used to approximate some function f:
``y = f(x)``. This class returns a function whose call method uses
interpolation to find the value of new points.
Parameters
----------
x : (N,) array_like
A 1-D array of real values.
y : (...,N,...) array_like
A N-D array of real values. The length of `y` along the interpolation
axis must be equal to the length of `x`.
kind : str or int, optional
Specifies the kind of interpolation as a string
('linear', 'nearest', 'zero', 'slinear', 'quadratic, 'cubic'
where 'slinear', 'quadratic' and 'cubic' refer to a spline
interpolation of first, second or third order) or as an integer
specifying the order of the spline interpolator to use.
Default is 'linear'.
axis : int, optional
Specifies the axis of `y` along which to interpolate.
Interpolation defaults to the last axis of `y`.
copy : bool, optional
If True, the class makes internal copies of x and y.
If False, references to `x` and `y` are used. The default is to copy.
bounds_error : bool, optional
If True, a ValueError is raised any time interpolation is attempted on
a value outside of the range of x (where extrapolation is
necessary). If False, out of bounds values are assigned `fill_value`.
By default, an error is raised.
fill_value : float, optional
If provided, then this value will be used to fill in for requested
points outside of the data range. If not provided, then the default
is NaN.
assume_sorted : bool, optional
If False, values of `x` can be in any order and they are sorted first.
If True, `x` has to be an array of monotonically increasing values.
Methods
-------
__call__
See Also
--------
splrep, splev
Spline interpolation/smoothing based on FITPACK.
UnivariateSpline : An object-oriented wrapper of the FITPACK routines.
interp2d : 2-D interpolation
Examples
--------
>>> import matplotlib.pyplot as plt
>>> from scipy import interpolate
>>> x = np.arange(0, 10)
>>> y = np.exp(-x/3.0)
>>> f = interpolate.interp1d(x, y)
>>> xnew = np.arange(0, 9, 0.1)
>>> ynew = f(xnew) # use interpolation function returned by `interp1d`
>>> plt.plot(x, y, 'o', xnew, ynew, '-')
>>> plt.show()
"""
def __init__(self, x, y, kind='linear', axis=-1,
copy=True, bounds_error=True, fill_value=np.nan,
assume_sorted=False):
""" Initialize a 1D linear interpolation class."""
_Interpolator1D.__init__(self, x, y, axis=axis)
self.copy = copy
self.bounds_error = bounds_error
self.fill_value = fill_value
if kind in ['zero', 'slinear', 'quadratic', 'cubic']:
order = {'nearest': 0, 'zero': 0,'slinear': 1,
'quadratic': 2, 'cubic': 3}[kind]
kind = 'spline'
elif isinstance(kind, int):
order = kind
kind = 'spline'
elif kind not in ('linear', 'nearest'):
raise NotImplementedError("%s is unsupported: Use fitpack "
"routines for other types." % kind)
x = array(x, copy=self.copy)
y = array(y, copy=self.copy)
if not assume_sorted:
ind = np.argsort(x)
x = x[ind]
y = np.take(y, ind, axis=axis)
if x.ndim != 1:
raise ValueError("the x array must have exactly one dimension.")
if y.ndim == 0:
raise ValueError("the y array must have at least one dimension.")
# Force-cast y to a floating-point type, if it's not yet one
if not issubclass(y.dtype.type, np.inexact):
y = y.astype(np.float_)
# Backward compatibility
self.axis = axis % y.ndim
# Interpolation goes internally along the first axis
self.y = y
y = self._reshape_yi(y)
# Adjust to interpolation kind; store reference to *unbound*
# interpolation methods, in order to avoid circular references to self
# stored in the bound instance methods, and therefore delayed garbage
# collection. See: http://docs.python.org/2/reference/datamodel.html
if kind in ('linear', 'nearest'):
# Make a "view" of the y array that is rotated to the interpolation
# axis.
minval = 2
if kind == 'nearest':
self.x_bds = (x[1:] + x[:-1]) / 2.0
self._call = self.__class__._call_nearest
else:
self._call = self.__class__._call_linear
else:
minval = order + 1
self._spline = splmake(x, y, order=order)
self._call = self.__class__._call_spline
if len(x) < minval:
raise ValueError("x and y arrays must have at "
"least %d entries" % minval)
self._kind = kind
self.x = x
self._y = y
def _call_linear(self, x_new):
# 2. Find where in the orignal data, the values to interpolate
# would be inserted.
# Note: If x_new[n] == x[m], then m is returned by searchsorted.
x_new_indices = searchsorted(self.x, x_new)
# 3. Clip x_new_indices so that they are within the range of
# self.x indices and at least 1. Removes mis-interpolation
# of x_new[n] = x[0]
x_new_indices = x_new_indices.clip(1, len(self.x)-1).astype(int)
# 4. Calculate the slope of regions that each x_new value falls in.
lo = x_new_indices - 1
hi = x_new_indices
x_lo = self.x[lo]
x_hi = self.x[hi]
y_lo = self._y[lo]
y_hi = self._y[hi]
# Note that the following two expressions rely on the specifics of the
# broadcasting semantics.
slope = (y_hi - y_lo) / (x_hi - x_lo)[:, None]
# 5. Calculate the actual value for each entry in x_new.
y_new = slope*(x_new - x_lo)[:, None] + y_lo
return y_new
def _call_nearest(self, x_new):
""" Find nearest neighbour interpolated y_new = f(x_new)."""
# 2. Find where in the averaged data the values to interpolate
# would be inserted.
# Note: use side='left' (right) to searchsorted() to define the
# halfway point to be nearest to the left (right) neighbour
x_new_indices = searchsorted(self.x_bds, x_new, side='left')
# 3. Clip x_new_indices so that they are within the range of x indices.
x_new_indices = x_new_indices.clip(0, len(self.x)-1).astype(intp)
# 4. Calculate the actual value for each entry in x_new.
y_new = self._y[x_new_indices]
return y_new
def _call_spline(self, x_new):
return spleval(self._spline, x_new)
def _evaluate(self, x_new):
# 1. Handle values in x_new that are outside of x. Throw error,
# or return a list of mask array indicating the outofbounds values.
# The behavior is set by the bounds_error variable.
x_new = asarray(x_new)
out_of_bounds = self._check_bounds(x_new)
y_new = self._call(self, x_new)
if len(y_new) > 0:
y_new[out_of_bounds] = self.fill_value
return y_new
def _check_bounds(self, x_new):
"""Check the inputs for being in the bounds of the interpolated data.
Parameters
----------
x_new : array
Returns
-------
out_of_bounds : bool array
The mask on x_new of values that are out of the bounds.
"""
# If self.bounds_error is True, we raise an error if any x_new values
# fall outside the range of x. Otherwise, we return an array indicating
# which values are outside the boundary region.
below_bounds = x_new < self.x[0]
above_bounds = x_new > self.x[-1]
# !! Could provide more information about which values are out of bounds
if self.bounds_error and below_bounds.any():
raise ValueError("A value in x_new is below the interpolation "
"range.")
if self.bounds_error and above_bounds.any():
raise ValueError("A value in x_new is above the interpolation "
"range.")
# !! Should we emit a warning if some values are out of bounds?
# !! matlab does not.
out_of_bounds = logical_or(below_bounds, above_bounds)
return out_of_bounds
class _PPolyBase(object):
"""
Base class for piecewise polynomials.
"""
__slots__ = ('c', 'x', 'extrapolate', 'axis')
def __init__(self, c, x, extrapolate=None, axis=0):
self.c = np.asarray(c)
self.x = np.ascontiguousarray(x, dtype=np.float64)
if extrapolate is None:
extrapolate = True
self.extrapolate = bool(extrapolate)
if not (0 <= axis < self.c.ndim - 1):
raise ValueError("%s must be between 0 and %s" % (axis, c.ndim-1))
self.axis = axis
if axis != 0:
# roll the interpolation axis to be the first one in self.c
# More specifically, the target shape for self.c is (k, m, ...),
# and axis !=0 means that we have c.shape (..., k, m, ...)
# ^
# axis
# So we roll two of them.
self.c = np.rollaxis(self.c, axis+1)
self.c = np.rollaxis(self.c, axis+1)
if self.x.ndim != 1:
raise ValueError("x must be 1-dimensional")
if self.x.size < 2:
raise ValueError("at least 2 breakpoints are needed")
if self.c.ndim < 2:
raise ValueError("c must have at least 2 dimensions")
if self.c.shape[0] == 0:
raise ValueError("polynomial must be at least of order 0")
if self.c.shape[1] != self.x.size-1:
raise ValueError("number of coefficients != len(x)-1")
if np.any(self.x[1:] - self.x[:-1] < 0):
raise ValueError("x-coordinates are not in increasing order")
dtype = self._get_dtype(self.c.dtype)
self.c = np.ascontiguousarray(self.c, dtype=dtype)
def _get_dtype(self, dtype):
if np.issubdtype(dtype, np.complexfloating) \
or np.issubdtype(self.c.dtype, np.complexfloating):
return np.complex_
else:
return np.float_
@classmethod
def construct_fast(cls, c, x, extrapolate=None, axis=0):
"""
Construct the piecewise polynomial without making checks.
Takes the same parameters as the constructor. Input arguments
`c` and `x` must be arrays of the correct shape and type. The
`c` array can only be of dtypes float and complex, and `x`
array must have dtype float.
"""
self = object.__new__(cls)
self.c = c
self.x = x
self.axis = axis
if extrapolate is None:
extrapolate = True
self.extrapolate = extrapolate
return self
def _ensure_c_contiguous(self):
"""
c and x may be modified by the user. The Cython code expects
that they are C contiguous.
"""
if not self.x.flags.c_contiguous:
self.x = self.x.copy()
if not self.c.flags.c_contiguous:
self.c = self.c.copy()
def extend(self, c, x, right=True):
"""
Add additional breakpoints and coefficients to the polynomial.
Parameters
----------
c : ndarray, size (k, m, ...)
Additional coefficients for polynomials in intervals
``self.x[-1] <= x < x_right[0]``, ``x_right[0] <= x < x_right[1]``,
..., ``x_right[m-2] <= x < x_right[m-1]``
x : ndarray, size (m,)
Additional breakpoints. Must be sorted and either to
the right or to the left of the current breakpoints.
right : bool, optional
Whether the new intervals are to the right or to the left
of the current intervals.
"""
c = np.asarray(c)
x = np.asarray(x)
if c.ndim < 2:
raise ValueError("invalid dimensions for c")
if x.ndim != 1:
raise ValueError("invalid dimensions for x")
if x.shape[0] != c.shape[1]:
raise ValueError("x and c have incompatible sizes")
if c.shape[2:] != self.c.shape[2:] or c.ndim != self.c.ndim:
raise ValueError("c and self.c have incompatible shapes")
if right:
if x[0] < self.x[-1]:
raise ValueError("new x are not to the right of current ones")
else:
if x[-1] > self.x[0]:
raise ValueError("new x are not to the left of current ones")
if c.size == 0:
return
dtype = self._get_dtype(c.dtype)
k2 = max(c.shape[0], self.c.shape[0])
c2 = np.zeros((k2, self.c.shape[1] + c.shape[1]) + self.c.shape[2:],
dtype=dtype)
if right:
c2[k2-self.c.shape[0]:, :self.c.shape[1]] = self.c
c2[k2-c.shape[0]:, self.c.shape[1]:] = c
self.x = np.r_[self.x, x]
else:
c2[k2-self.c.shape[0]:, :c.shape[1]] = c
c2[k2-c.shape[0]:, c.shape[1]:] = self.c
self.x = np.r_[x, self.x]
self.c = c2
def __call__(self, x, nu=0, extrapolate=None):
"""
Evaluate the piecewise polynomial or its derivative
Parameters
----------
x : array_like
Points to evaluate the interpolant at.
nu : int, optional
Order of derivative to evaluate. Must be non-negative.
extrapolate : bool, optional
Whether to extrapolate to ouf-of-bounds points based on first
and last intervals, or to return NaNs.
Returns
-------
y : array_like
Interpolated values. Shape is determined by replacing
the interpolation axis in the original array with the shape of x.
Notes
-----
Derivatives are evaluated piecewise for each polynomial
segment, even if the polynomial is not differentiable at the
breakpoints. The polynomial intervals are considered half-open,
``[a, b)``, except for the last interval which is closed
``[a, b]``.
"""
if extrapolate is None:
extrapolate = self.extrapolate
x = np.asarray(x)
x_shape, x_ndim = x.shape, x.ndim
x = np.ascontiguousarray(x.ravel(), dtype=np.float_)
out = np.empty((len(x), prod(self.c.shape[2:])), dtype=self.c.dtype)
self._ensure_c_contiguous()
self._evaluate(x, nu, extrapolate, out)
out = out.reshape(x_shape + self.c.shape[2:])
if self.axis != 0:
# transpose to move the calculated values to the interpolation axis
l = list(range(out.ndim))
l = l[x_ndim:x_ndim+self.axis] + l[:x_ndim] + l[x_ndim+self.axis:]
out = out.transpose(l)
return out
class PPoly(_PPolyBase):
"""
Piecewise polynomial in terms of coefficients and breakpoints
The polynomial in the ith interval is ``x[i] <= xp < x[i+1]``::
S = sum(c[m, i] * (xp - x[i])**(k-m) for m in range(k+1))
where ``k`` is the degree of the polynomial. This representation
is the local power basis.
Parameters
----------
c : ndarray, shape (k, m, ...)
Polynomial coefficients, order `k` and `m` intervals
x : ndarray, shape (m+1,)
Polynomial breakpoints. These must be sorted in
increasing order.
extrapolate : bool, optional
Whether to extrapolate to ouf-of-bounds points based on first
and last intervals, or to return NaNs. Default: True.
axis : int, optional
Interpolation axis. Default is zero.
Attributes
----------
x : ndarray
Breakpoints.
c : ndarray
Coefficients of the polynomials. They are reshaped
to a 3-dimensional array with the last dimension representing
the trailing dimensions of the original coefficient array.
axis : int
Interpolation axis.
Methods
-------
__call__
derivative
antiderivative
integrate
roots
extend
from_spline
from_bernstein_basis
construct_fast
See also
--------
BPoly : piecewise polynomials in the Bernstein basis
Notes
-----
High-order polynomials in the power basis can be numerically
unstable. Precision problems can start to appear for orders
larger than 20-30.
"""
def _evaluate(self, x, nu, extrapolate, out):
_ppoly.evaluate(self.c.reshape(self.c.shape[0], self.c.shape[1], -1),
self.x, x, nu, bool(extrapolate), out)
def derivative(self, nu=1):
"""
Construct a new piecewise polynomial representing the derivative.
Parameters
----------
nu : int, optional
Order of derivative to evaluate. (Default: 1)
If negative, the antiderivative is returned.
Returns
-------
pp : PPoly
Piecewise polynomial of order k2 = k - n representing the derivative
of this polynomial.
Notes
-----
Derivatives are evaluated piecewise for each polynomial
segment, even if the polynomial is not differentiable at the
breakpoints. The polynomial intervals are considered half-open,
``[a, b)``, except for the last interval which is closed
``[a, b]``.
"""
if nu < 0:
return self.antiderivative(-nu)
# reduce order
if nu == 0:
c2 = self.c.copy()
else:
c2 = self.c[:-nu,:].copy()
if c2.shape[0] == 0:
# derivative of order 0 is zero
c2 = np.zeros((1,) + c2.shape[1:], dtype=c2.dtype)
# multiply by the correct rising factorials
factor = spec.poch(np.arange(c2.shape[0], 0, -1), nu)
c2 *= factor[(slice(None),) + (None,)*(c2.ndim-1)]
# construct a compatible polynomial
return self.construct_fast(c2, self.x, self.extrapolate, self.axis)
def antiderivative(self, nu=1):
"""
Construct a new piecewise polynomial representing the antiderivative.
Antiderivativative is also the indefinite integral of the function,
and derivative is its inverse operation.
Parameters
----------
nu : int, optional
Order of antiderivative to evaluate. (Default: 1)
If negative, the derivative is returned.
Returns
-------
pp : PPoly
Piecewise polynomial of order k2 = k + n representing
the antiderivative of this polynomial.
Notes
-----
The antiderivative returned by this function is continuous and
continuously differentiable to order n-1, up to floating point
rounding error.
"""
if nu <= 0:
return self.derivative(-nu)
c = np.zeros((self.c.shape[0] + nu, self.c.shape[1]) + self.c.shape[2:],
dtype=self.c.dtype)
c[:-nu] = self.c
# divide by the correct rising factorials
factor = spec.poch(np.arange(self.c.shape[0], 0, -1), nu)
c[:-nu] /= factor[(slice(None),) + (None,)*(c.ndim-1)]
# fix continuity of added degrees of freedom
self._ensure_c_contiguous()
_ppoly.fix_continuity(c.reshape(c.shape[0], c.shape[1], -1),
self.x, nu - 1)
# construct a compatible polynomial
return self.construct_fast(c, self.x, self.extrapolate, self.axis)
def integrate(self, a, b, extrapolate=None):
"""
Compute a definite integral over a piecewise polynomial.
Parameters
----------
a : float
Lower integration bound
b : float
Upper integration bound
extrapolate : bool, optional
Whether to extrapolate to ouf-of-bounds points based on first
and last intervals, or to return NaNs.
Returns
-------
ig : array_like
Definite integral of the piecewise polynomial over [a, b]
"""
if extrapolate is None:
extrapolate = self.extrapolate
# Swap integration bounds if needed
sign = 1
if b < a:
a, b = b, a
sign = -1
# Compute the integral
range_int = np.empty((prod(self.c.shape[2:]),), dtype=self.c.dtype)
self._ensure_c_contiguous()
_ppoly.integrate(self.c.reshape(self.c.shape[0], self.c.shape[1], -1),
self.x, a, b, bool(extrapolate),
out=range_int)
# Return
range_int *= sign
return range_int.reshape(self.c.shape[2:])
def roots(self, discontinuity=True, extrapolate=None):
"""
Find real roots of the piecewise polynomial.
Parameters
----------
discontinuity : bool, optional
Whether to report sign changes across discontinuities at
breakpoints as roots.
extrapolate : bool, optional
Whether to return roots from the polynomial extrapolated
based on first and last intervals.
Returns
-------
roots : ndarray
Roots of the polynomial(s).
If the PPoly object describes multiple polynomials, the
return value is an object array whose each element is an
ndarray containing the roots.
Notes
-----
This routine works only on real-valued polynomials.
If the piecewise polynomial contains sections that are
identically zero, the root list will contain the start point
of the corresponding interval, followed by a ``nan`` value.
If the polynomial is discontinuous across a breakpoint, and
there is a sign change across the breakpoint, this is reported
if the `discont` parameter is True.
Examples
--------
Finding roots of ``[x**2 - 1, (x - 1)**2]`` defined on intervals
``[-2, 1], [1, 2]``:
>>> from scipy.interpolate import PPoly
>>> pp = PPoly(np.array([[1, 0, -1], [1, 0, 0]]).T, [-2, 1, 2])
>>> pp.roots()
array([-1., 1.])
"""
if extrapolate is None:
extrapolate = self.extrapolate
self._ensure_c_contiguous()
if np.issubdtype(self.c.dtype, np.complexfloating):
raise ValueError("Root finding is only for "
"real-valued polynomials")
r = _ppoly.real_roots(self.c.reshape(self.c.shape[0], self.c.shape[1], -1),
self.x, bool(discontinuity),
bool(extrapolate))
if self.c.ndim == 2:
return r[0]
else:
r2 = np.empty(prod(self.c.shape[2:]), dtype=object)
# this for-loop is equivalent to ``r2[...] = r``, but that's broken
# in numpy 1.6.0
for ii, root in enumerate(r):
r2[ii] = root
return r2.reshape(self.c.shape[2:])
@classmethod
def from_spline(cls, tck, extrapolate=None):
"""
Construct a piecewise polynomial from a spline
Parameters
----------
tck
A spline, as returned by `splrep`
extrapolate : bool, optional
Whether to extrapolate to ouf-of-bounds points based on first
and last intervals, or to return NaNs. Default: True.
"""
t, c, k = tck
cvals = np.empty((k + 1, len(t)-1), dtype=c.dtype)
for m in xrange(k, -1, -1):
y = fitpack.splev(t[:-1], tck, der=m)
cvals[k - m, :] = y/spec.gamma(m+1)
return cls.construct_fast(cvals, t, extrapolate)
@classmethod
def from_bernstein_basis(cls, bp, extrapolate=None):
"""
Construct a piecewise polynomial in the power basis
from a polynomial in Bernstein basis.
Parameters
----------
bp : BPoly
A Bernstein basis polynomial, as created by BPoly
extrapolate : bool, optional
Whether to extrapolate to ouf-of-bounds points based on first
and last intervals, or to return NaNs. Default: True.
"""
dx = np.diff(bp.x)
k = bp.c.shape[0] - 1 # polynomial order
rest = (None,)*(bp.c.ndim-2)
c = np.zeros_like(bp.c)
for a in range(k+1):
factor = (-1)**(a) * comb(k, a) * bp.c[a]
for s in range(a, k+1):
val = comb(k-a, s-a) * (-1)**s
c[k-s] += factor * val / dx[(slice(None),)+rest]**s
if extrapolate is None:
extrapolate = bp.extrapolate
return cls.construct_fast(c, bp.x, extrapolate, bp.axis)
class BPoly(_PPolyBase):
"""
Piecewise polynomial in terms of coefficients and breakpoints
The polynomial in the ``i``-th interval ``x[i] <= xp < x[i+1]``
is written in the Bernstein polynomial basis::
S = sum(c[a, i] * b(a, k; x) for a in range(k+1))
where ``k`` is the degree of the polynomial, and::
b(a, k; x) = comb(k, a) * t**k * (1 - t)**(k - a)
with ``t = (x - x[i]) / (x[i+1] - x[i])``.
Parameters
----------
c : ndarray, shape (k, m, ...)
Polynomial coefficients, order `k` and `m` intervals
x : ndarray, shape (m+1,)
Polynomial breakpoints. These must be sorted in
increasing order.
extrapolate : bool, optional
Whether to extrapolate to ouf-of-bounds points based on first
and last intervals, or to return NaNs. Default: True.
axis : int, optional
Interpolation axis. Default is zero.
Attributes
----------
x : ndarray
Breakpoints.
c : ndarray
Coefficients of the polynomials. They are reshaped
to a 3-dimensional array with the last dimension representing
the trailing dimensions of the original coefficient array.
axis : int
Interpolation axis.
Methods
-------
__call__
extend
derivative
antiderivative
integrate
construct_fast
from_power_basis
from_derivatives
See also
--------
PPoly : piecewise polynomials in the power basis
Notes
-----
Properties of Bernstein polynomials are well documented in the literature.
Here's a non-exhaustive list:
.. [1] http://en.wikipedia.org/wiki/Bernstein_polynomial
.. [2] Kenneth I. Joy, Bernstein polynomials,
http://www.idav.ucdavis.edu/education/CAGDNotes/Bernstein-Polynomials.pdf
.. [3] E. H. Doha, A. H. Bhrawy, and M. A. Saker, Boundary Value Problems,
vol 2011, article ID 829546, doi:10.1155/2011/829543
Examples
--------
>>> x = [0, 1]
>>> c = [[1], [2], [3]]
>>> bp = BPoly(c, x)
This creates a 2nd order polynomial
.. math::
B(x) = 1 \\times b_{0, 2}(x) + 2 \\times b_{1, 2}(x) + 3 \\times b_{2, 2}(x) \\\\
= 1 \\times (1-x)^2 + 2 \\times 2 x (1 - x) + 3 \\times x^2
"""
def _evaluate(self, x, nu, extrapolate, out):
_ppoly.evaluate_bernstein(
self.c.reshape(self.c.shape[0], self.c.shape[1], -1),
self.x, x, nu, bool(extrapolate), out)
def derivative(self, nu=1):
"""
Construct a new piecewise polynomial representing the derivative.
Parameters
----------
nu : int, optional
Order of derivative to evaluate. (Default: 1)
If negative, the antiderivative is returned.
Returns
-------
bp : BPoly
Piecewise polynomial of order k2 = k - nu representing the derivative
of this polynomial.
"""
if nu < 0:
return self.antiderivative(-nu)
if nu > 1:
bp = self
for k in range(nu):
bp = bp.derivative()
return bp
# reduce order
if nu == 0:
c2 = self.c.copy()
else:
# For a polynomial
# B(x) = \sum_{a=0}^{k} c_a b_{a, k}(x),
# we use the fact that
# b'_{a, k} = k ( b_{a-1, k-1} - b_{a, k-1} ),
# which leads to
# B'(x) = \sum_{a=0}^{k-1} (c_{a+1} - c_a) b_{a, k-1}
#
# finally, for an interval [y, y + dy] with dy != 1,
# we need to correct for an extra power of dy
rest = (None,)*(self.c.ndim-2)
k = self.c.shape[0] - 1
dx = np.diff(self.x)[(None, slice(None))+rest]
c2 = k * np.diff(self.c, axis=0) / dx
if c2.shape[0] == 0:
# derivative of order 0 is zero
c2 = np.zeros((1,) + c2.shape[1:], dtype=c2.dtype)
# construct a compatible polynomial
return self.construct_fast(c2, self.x, self.extrapolate, self.axis)
def antiderivative(self, nu=1):
"""
Construct a new piecewise polynomial representing the antiderivative.
Parameters
----------
nu : int, optional
Order of derivative to evaluate. (Default: 1)
If negative, the derivative is returned.
Returns
-------
bp : BPoly
Piecewise polynomial of order k2 = k + nu representing the
antiderivative of this polynomial.
"""
if nu <= 0:
return self.derivative(-nu)
if nu > 1:
bp = self
for k in range(nu):
bp = bp.antiderivative()
return bp
# Construct the indefinite integrals on individual intervals
c, x = self.c, self.x
k = c.shape[0]
c2 = np.zeros((k+1,) + c.shape[1:], dtype=c.dtype)
c2[1:, ...] = np.cumsum(c, axis=0) / k
delta = x[1:] - x[:-1]
c2 *= delta[(None, slice(None)) + (None,)*(c.ndim-2)]
# Now fix continuity: on the very first interval, take the integration
# constant to be zero; on an interval [x_j, x_{j+1}) with j>0,
# the integration constant is then equal to the jump of the `bp` at x_j.
# The latter is given by the coefficient of B_{n+1, n+1}
# *on the previous interval* (other B. polynomials are zero at the breakpoint)
# Finally, use the fact that BPs form a partition of unity.
c2[:,1:] += np.cumsum(c2[k,:], axis=0)[:-1]
return self.construct_fast(c2, x, self.extrapolate, axis=self.axis)
def integrate(self, a, b, extrapolate=None):
"""
Compute a definite integral over a piecewise polynomial.
Parameters
----------
a : float
Lower integration bound
b : float
Upper integration bound
extrapolate : bool, optional
Whether to extrapolate to out-of-bounds points based on first
and last intervals, or to return NaNs.
Defaults to ``self.extrapolate``.
Returns
-------
array_like
Definite integral of the piecewise polynomial over [a, b]
"""
# XXX: can probably use instead the fact that
# \int_0^{1} B_{j, n}(x) \dx = 1/(n+1)
ib = self.antiderivative()
if extrapolate is not None:
ib.extrapolate = extrapolate
return ib(b) - ib(a)
def extend(self, c, x, right=True):
k = max(self.c.shape[0], c.shape[0])
self.c = self._raise_degree(self.c, k - self.c.shape[0])
c = self._raise_degree(c, k - c.shape[0])
return _PPolyBase.extend(self, c, x, right)
extend.__doc__ = _PPolyBase.extend.__doc__
@classmethod
def from_power_basis(cls, pp, extrapolate=None):
"""
Construct a piecewise polynomial in Bernstein basis
from a power basis polynomial.
Parameters
----------
pp : PPoly
A piecewise polynomial in the power basis
extrapolate : bool, optional
Whether to extrapolate to ouf-of-bounds points based on first
and last intervals, or to return NaNs. Default: True.
"""
dx = np.diff(pp.x)
k = pp.c.shape[0] - 1 # polynomial order
rest = (None,)*(pp.c.ndim-2)
c = np.zeros_like(pp.c)
for a in range(k+1):
factor = pp.c[a] / comb(k, k-a) * dx[(slice(None),)+rest]**(k-a)
for j in range(k-a, k+1):
c[j] += factor * comb(j, k-a)
if extrapolate is None:
extrapolate = pp.extrapolate
return cls.construct_fast(c, pp.x, extrapolate, pp.axis)
@classmethod
def from_derivatives(cls, xi, yi, orders=None, extrapolate=None):
"""Construct a piecewise polynomial in the Bernstein basis,
compatible with the specified values and derivatives at breakpoints.
Parameters
----------
xi : array_like
sorted 1D array of x-coordinates
yi : array_like or list of array_likes
``yi[i][j]`` is the ``j``-th derivative known at ``xi[i]``
orders : None or int or array_like of ints. Default: None.
Specifies the degree of local polynomials. If not None, some
derivatives are ignored.
extrapolate : bool, optional
Whether to extrapolate to ouf-of-bounds points based on first
and last intervals, or to return NaNs. Default: True.
Notes
-----
If ``k`` derivatives are specified at a breakpoint ``x``, the
constructed polynomial is exactly ``k`` times continuously
differentiable at ``x``, unless the ``order`` is provided explicitly.
In the latter case, the smoothness of the polynomial at
the breakpoint is controlled by the ``order``.
Deduces the number of derivatives to match at each end
from ``order`` and the number of derivatives available. If
possible it uses the same number of derivatives from
each end; if the number is odd it tries to take the
extra one from y2. In any case if not enough derivatives
are available at one end or another it draws enough to
make up the total from the other end.
If the order is too high and not enough derivatives are available,
an exception is raised.
Examples
--------
>>> BPoly.from_derivatives([0, 1], [[1, 2], [3, 4]])
Creates a polynomial `f(x)` of degree 3, defined on `[0, 1]`
such that `f(0) = 1, df/dx(0) = 2, f(1) = 3, df/dx(1) = 4`
>>> BPoly.from_derivatives([0, 1, 2], [[0, 1], [0], [2]])
Creates a piecewise polynomial `f(x)`, such that
`f(0) = f(1) = 0`, `f(2) = 2`, and `df/dx(0) = 1`.
Based on the number of derivatives provided, the order of the
local polynomials is 2 on `[0, 1]` and 1 on `[1, 2]`.
Notice that no restriction is imposed on the derivatives at
`x = 1` and `x = 2`.
Indeed, the explicit form of the polynomial is::
f(x) = | x * (1 - x), 0 <= x < 1
| 2 * (x - 1), 1 <= x <= 2
So that f'(1-0) = -1 and f'(1+0) = 2
"""
xi = np.asarray(xi)
if len(xi) != len(yi):
raise ValueError("xi and yi need to have the same length")
if np.any(xi[1:] - xi[:1] <= 0):
raise ValueError("x coordinates are not in increasing order")
# number of intervals
m = len(xi) - 1
# global poly order is k-1, local orders are <=k and can vary
try:
k = max(len(yi[i]) + len(yi[i+1]) for i in range(m))
except TypeError:
raise ValueError("Using a 1D array for y? Please .reshape(-1, 1).")
if orders is None:
orders = [None] * m
else:
if isinstance(orders, integer_types):
orders = [orders] * m
k = max(k, max(orders))
if any(o <= 0 for o in orders):
raise ValueError("Orders must be positive.")
c = []
for i in range(m):
y1, y2 = yi[i], yi[i+1]
if orders[i] is None:
n1, n2 = len(y1), len(y2)
else:
n = orders[i]+1
n1 = min(n//2, len(y1))
n2 = min(n - n1, len(y2))
n1 = min(n - n2, len(y2))
if n1+n2 != n:
raise ValueError("Point %g has %d derivatives, point %g"
" has %d derivatives, but order %d requested" %
(xi[i], len(y1), xi[i+1], len(y2), orders[i]))
if not (n1 <= len(y1) and n2 <= len(y2)):
raise ValueError("`order` input incompatible with"
" length y1 or y2.")
b = BPoly._construct_from_derivatives(xi[i], xi[i+1], y1[:n1], y2[:n2])
if len(b) < k:
b = BPoly._raise_degree(b, k - len(b))
c.append(b)
c = np.asarray(c)
return cls(c.swapaxes(0, 1), xi, extrapolate)
@staticmethod
def _construct_from_derivatives(xa, xb, ya, yb):
"""Compute the coefficients of a polynomial in the Bernstein basis
given the values and derivatives at the edges.
Return the coefficients of a polynomial in the Bernstein basis
defined on `[xa, xb]` and having the values and derivatives at the
endpoints ``xa`` and ``xb`` as specified by ``ya`` and ``yb``.
The polynomial constructed is of the minimal possible degree, i.e.,
if the lengths of ``ya`` and ``yb`` are ``na`` and ``nb``, the degree
of the polynomial is ``na + nb - 1``.
Parameters
----------
xa : float
Left-hand end point of the interval
xb : float
Right-hand end point of the interval
ya : array_like
Derivatives at ``xa``. ``ya[0]`` is the value of the function, and
``ya[i]`` for ``i > 0`` is the value of the ``i``-th derivative.
yb : array_like
Derivatives at ``xb``.
Returns
-------
array
coefficient array of a polynomial having specified derivatives
Notes
-----
This uses several facts from life of Bernstein basis functions.
First of all,
.. math:: b'_{a, n} = n (b_{a-1, n-1} - b_{a, n-1})
If B(x) is a linear combination of the form
.. math:: B(x) = \sum_{a=0}^{n} c_a b_{a, n},
then :math: B'(x) = n \sum_{a=0}^{n-1} (c_{a+1} - c_{a}) b_{a, n-1}.
Iterating the latter one, one finds for the q-th derivative
.. math:: B^{q}(x) = n!/(n-q)! \sum_{a=0}^{n-q} Q_a b_{a, n-q},
with
.. math:: Q_a = \sum_{j=0}^{q} (-)^{j+q} comb(q, j) c_{j+a}
This way, only `a=0` contributes to :math: `B^{q}(x = xa)`, and
`c_q` are found one by one by iterating `q = 0, ..., na`.
At `x = xb` it's the same with `a = n - q`.
"""
ya, yb = np.asarray(ya), np.asarray(yb)
if ya.shape[1:] != yb.shape[1:]:
raise ValueError('ya and yb have incompatible dimensions.')
dta, dtb = ya.dtype, yb.dtype
if (np.issubdtype(dta, np.complexfloating)
or np.issubdtype(dtb, np.complexfloating)):
dt = np.complex_
else:
dt = np.float_
na, nb = len(ya), len(yb)
n = na + nb
c = np.empty((na+nb,) + ya.shape[1:], dtype=dt)
# compute coefficients of a polynomial degree na+nb-1
# walk left-to-right
for q in range(0, na):
c[q] = ya[q] / spec.poch(n - q, q) * (xb - xa)**q
for j in range(0, q):
c[q] -= (-1)**(j+q) * comb(q, j) * c[j]
# now walk right-to-left
for q in range(0, nb):
c[-q-1] = yb[q] / spec.poch(n - q, q) * (-1)**q * (xb - xa)**q
for j in range(0, q):
c[-q-1] -= (-1)**(j+1) * comb(q, j+1) * c[-q+j]
return c
@staticmethod
def _raise_degree(c, d):
"""Raise a degree of a polynomial in the Bernstein basis.
Given the coefficients of a polynomial degree `k`, return (the
coefficients of) the equivalent polynomial of degree `k+d`.
Parameters
----------
c : array_like
coefficient array, 1D
d : integer
Returns
-------
array
coefficient array, 1D array of length `c.shape[0] + d`
Notes
-----
This uses the fact that a Bernstein polynomial `b_{a, k}` can be
identically represented as a linear combination of polynomials of
a higher degree `k+d`:
.. math:: b_{a, k} = comb(k, a) \sum_{j=0}^{d} b_{a+j, k+d} \
comb(d, j) / comb(k+d, a+j)
"""
if d == 0:
return c
k = c.shape[0] - 1
out = np.zeros((c.shape[0] + d,) + c.shape[1:], dtype=c.dtype)
for a in range(c.shape[0]):
f = c[a] * comb(k, a)
for j in range(d+1):
out[a+j] += f * comb(d, j) / comb(k+d, a+j)
return out
class RegularGridInterpolator(object):
"""
Interpolation on a regular grid in arbitrary dimensions
The data must be defined on a regular grid; the grid spacing however may be
uneven. Linear and nearest-neighbour interpolation are supported. After
setting up the interpolator object, the interpolation method (*linear* or
*nearest*) may be chosen at each evaluation.
Parameters
----------
points : tuple of ndarray of float, with shapes (m1, ), ..., (mn, )
The points defining the regular grid in n dimensions.
values : array_like, shape (m1, ..., mn, ...)
The data on the regular grid in n dimensions.
method : str, optional
The method of interpolation to perform. Supported are "linear" and
"nearest". This parameter will become the default for the object's
``__call__`` method. Default is "linear".
bounds_error : bool, optional
If True, when interpolated values are requested outside of the
domain of the input data, a ValueError is raised.
If False, then `fill_value` is used.
fill_value : number, optional
If provided, the value to use for points outside of the
interpolation domain. If None, values outside
the domain are extrapolated.
Methods
-------
__call__
Notes
-----
Contrary to LinearNDInterpolator and NearestNDInterpolator, this class
avoids expensive triangulation of the input data by taking advantage of the
regular grid structure.
.. versionadded:: 0.14
Examples
--------
Evaluate a simple example function on the points of a 3D grid:
>>> from scipy.interpolate import RegularGridInterpolator
>>> def f(x,y,z):
... return 2 * x**3 + 3 * y**2 - z
>>> x = np.linspace(1, 4, 11)
>>> y = np.linspace(4, 7, 22)
>>> z = np.linspace(7, 9, 33)
>>> data = f(*np.meshgrid(x, y, z, indexing='ij', sparse=True))
``data`` is now a 3D array with ``data[i,j,k] = f(x[i], y[j], z[k])``.
Next, define an interpolating function from this data:
>>> my_interpolating_function = RegularGridInterpolator((x, y, z), data)
Evaluate the interpolating function at the two points
``(x,y,z) = (2.1, 6.2, 8.3)`` and ``(3.3, 5.2, 7.1)``:
>>> pts = np.array([[2.1, 6.2, 8.3], [3.3, 5.2, 7.1]])
>>> my_interpolating_function(pts)
array([ 125.80469388, 146.30069388])
which is indeed a close approximation to
``[f(2.1, 6.2, 8.3), f(3.3, 5.2, 7.1)]``.
See also
--------
NearestNDInterpolator : Nearest neighbour interpolation on unstructured
data in N dimensions
LinearNDInterpolator : Piecewise linear interpolant on unstructured data
in N dimensions
References
----------
.. [1] Python package *regulargrid* by Johannes Buchner, see
https://pypi.python.org/pypi/regulargrid/
.. [2] Trilinear interpolation. (2013, January 17). In Wikipedia, The Free
Encyclopedia. Retrieved 27 Feb 2013 01:28.
http://en.wikipedia.org/w/index.php?title=Trilinear_interpolation&oldid=533448871
.. [3] Weiser, Alan, and Sergio E. Zarantonello. "A note on piecewise linear
and multilinear table interpolation in many dimensions." MATH.
COMPUT. 50.181 (1988): 189-196.
http://www.ams.org/journals/mcom/1988-50-181/S0025-5718-1988-0917826-0/S0025-5718-1988-0917826-0.pdf
"""
# this class is based on code originally programmed by Johannes Buchner,
# see https://github.com/JohannesBuchner/regulargrid
def __init__(self, points, values, method="linear", bounds_error=True,
fill_value=np.nan):
if method not in ["linear", "nearest"]:
raise ValueError("Method '%s' is not defined" % method)
self.method = method
self.bounds_error = bounds_error
if not hasattr(values, 'ndim'):
# allow reasonable duck-typed values
values = np.asarray(values)
if len(points) > values.ndim:
raise ValueError("There are %d point arrays, but values has %d "
"dimensions" % (len(points), values.ndim))
if hasattr(values, 'dtype') and hasattr(values, 'astype'):
if not np.issubdtype(values.dtype, np.inexact):
values = values.astype(float)
self.fill_value = fill_value
if fill_value is not None:
fill_value_dtype = np.asarray(fill_value).dtype
if (hasattr(values, 'dtype')
and not np.can_cast(fill_value_dtype, values.dtype,
casting='same_kind')):
raise ValueError("fill_value must be either 'None' or "
"of a type compatible with values")
for i, p in enumerate(points):
if not np.all(np.diff(p) > 0.):
raise ValueError("The points in dimension %d must be strictly "
"ascending" % i)
if not np.asarray(p).ndim == 1:
raise ValueError("The points in dimension %d must be "
"1-dimensional" % i)
if not values.shape[i] == len(p):
raise ValueError("There are %d points and %d values in "
"dimension %d" % (len(p), values.shape[i], i))
self.grid = tuple([np.asarray(p) for p in points])
self.values = values
def __call__(self, xi, method=None):
"""
Interpolation at coordinates
Parameters
----------
xi : ndarray of shape (..., ndim)
The coordinates to sample the gridded data at
method : str
The method of interpolation to perform. Supported are "linear" and
"nearest".
"""
method = self.method if method is None else method
if method not in ["linear", "nearest"]:
raise ValueError("Method '%s' is not defined" % method)
ndim = len(self.grid)
xi = _ndim_coords_from_arrays(xi, ndim=ndim)
if xi.shape[-1] != len(self.grid):
raise ValueError("The requested sample points xi have dimension "
"%d, but this RegularGridInterpolator has "
"dimension %d" % (xi.shape[1], ndim))
xi_shape = xi.shape
xi = xi.reshape(-1, xi_shape[-1])
if self.bounds_error:
for i, p in enumerate(xi.T):
if not np.logical_and(np.all(self.grid[i][0] <= p),
np.all(p <= self.grid[i][-1])):
raise ValueError("One of the requested xi is out of bounds "
"in dimension %d" % i)
indices, norm_distances, out_of_bounds = self._find_indices(xi.T)
if method == "linear":
result = self._evaluate_linear(indices, norm_distances, out_of_bounds)
elif method == "nearest":
result = self._evaluate_nearest(indices, norm_distances, out_of_bounds)
if not self.bounds_error and self.fill_value is not None:
result[out_of_bounds] = self.fill_value
return result.reshape(xi_shape[:-1] + self.values.shape[ndim:])
def _evaluate_linear(self, indices, norm_distances, out_of_bounds):
# slice for broadcasting over trailing dimensions in self.values
vslice = (slice(None),) + (None,)*(self.values.ndim - len(indices))
# find relevant values
# each i and i+1 represents a edge
edges = itertools.product(*[[i, i + 1] for i in indices])
values = 0.
for edge_indices in edges:
weight = 1.
for ei, i, yi in zip(edge_indices, indices, norm_distances):
weight *= np.where(ei == i, 1 - yi, yi)
values += np.asarray(self.values[edge_indices]) * weight[vslice]
return values
def _evaluate_nearest(self, indices, norm_distances, out_of_bounds):
idx_res = []
for i, yi in zip(indices, norm_distances):
idx_res.append(np.where(yi <= .5, i, i + 1))
return self.values[idx_res]
def _find_indices(self, xi):
# find relevant edges between which xi are situated
indices = []
# compute distance to lower edge in unity units
norm_distances = []
# check for out of bounds xi
out_of_bounds = np.zeros((xi.shape[1]), dtype=bool)
# iterate through dimensions
for x, grid in zip(xi, self.grid):
i = np.searchsorted(grid, x) - 1
i[i < 0] = 0
i[i > grid.size - 2] = grid.size - 2
indices.append(i)
norm_distances.append((x - grid[i]) /
(grid[i + 1] - grid[i]))
if not self.bounds_error:
out_of_bounds += x < grid[0]
out_of_bounds += x > grid[-1]
return indices, norm_distances, out_of_bounds
def interpn(points, values, xi, method="linear", bounds_error=True,
fill_value=np.nan):
"""
Multidimensional interpolation on regular grids.
Parameters
----------
points : tuple of ndarray of float, with shapes (m1, ), ..., (mn, )
The points defining the regular grid in n dimensions.
values : array_like, shape (m1, ..., mn, ...)
The data on the regular grid in n dimensions.
xi : ndarray of shape (..., ndim)
The coordinates to sample the gridded data at
method : str, optional
The method of interpolation to perform. Supported are "linear" and
"nearest", and "splinef2d". "splinef2d" is only supported for
2-dimensional data.
bounds_error : bool, optional
If True, when interpolated values are requested outside of the
domain of the input data, a ValueError is raised.
If False, then `fill_value` is used.
fill_value : number, optional
If provided, the value to use for points outside of the
interpolation domain. If None, values outside
the domain are extrapolated. Extrapolation is not supported by method
"splinef2d".
Returns
-------
values_x : ndarray, shape xi.shape[:-1] + values.shape[ndim:]
Interpolated values at input coordinates.
Notes
-----
.. versionadded:: 0.14
See also
--------
NearestNDInterpolator : Nearest neighbour interpolation on unstructured
data in N dimensions
LinearNDInterpolator : Piecewise linear interpolant on unstructured data
in N dimensions
RegularGridInterpolator : Linear and nearest-neighbor Interpolation on a
regular grid in arbitrary dimensions
RectBivariateSpline : Bivariate spline approximation over a rectangular mesh
"""
# sanity check 'method' kwarg
if method not in ["linear", "nearest", "splinef2d"]:
raise ValueError("interpn only understands the methods 'linear', "
"'nearest', and 'splinef2d'. You provided %s." %
method)
if not hasattr(values, 'ndim'):
values = np.asarray(values)
ndim = values.ndim
if ndim > 2 and method == "splinef2d":
raise ValueError("The method spline2fd can only be used for "
"2-dimensional input data")
if not bounds_error and fill_value is None and method == "splinef2d":
raise ValueError("The method spline2fd does not support extrapolation.")
# sanity check consistency of input dimensions
if len(points) > ndim:
raise ValueError("There are %d point arrays, but values has %d "
"dimensions" % (len(points), ndim))
if len(points) != ndim and method == 'splinef2d':
raise ValueError("The method spline2fd can only be used for "
"scalar data with one point per coordinate")
# sanity check input grid
for i, p in enumerate(points):
if not np.all(np.diff(p) > 0.):
raise ValueError("The points in dimension %d must be strictly "
"ascending" % i)
if not np.asarray(p).ndim == 1:
raise ValueError("The points in dimension %d must be "
"1-dimensional" % i)
if not values.shape[i] == len(p):
raise ValueError("There are %d points and %d values in "
"dimension %d" % (len(p), values.shape[i], i))
grid = tuple([np.asarray(p) for p in points])
# sanity check requested xi
xi = _ndim_coords_from_arrays(xi, ndim=len(grid))
if xi.shape[-1] != len(grid):
raise ValueError("The requested sample points xi have dimension "
"%d, but this RegularGridInterpolator has "
"dimension %d" % (xi.shape[1], len(grid)))
for i, p in enumerate(xi.T):
if bounds_error and not np.logical_and(np.all(grid[i][0] <= p),
np.all(p <= grid[i][-1])):
raise ValueError("One of the requested xi is out of bounds "
"in dimension %d" % i)
# perform interpolation
if method == "linear":
interp = RegularGridInterpolator(points, values, method="linear",
bounds_error=bounds_error,
fill_value=fill_value)
return interp(xi)
elif method == "nearest":
interp = RegularGridInterpolator(points, values, method="nearest",
bounds_error=bounds_error,
fill_value=fill_value)
return interp(xi)
elif method == "splinef2d":
xi_shape = xi.shape
xi = xi.reshape(-1, xi.shape[-1])
# RectBivariateSpline doesn't support fill_value; we need to wrap here
idx_valid = np.all((grid[0][0] <= xi[:, 0], xi[:, 0] <= grid[0][-1],
grid[1][0] <= xi[:, 1], xi[:, 1] <= grid[1][-1]),
axis=0)
result = np.empty_like(xi[:, 0])
# make a copy of values for RectBivariateSpline
interp = RectBivariateSpline(points[0], points[1], values[:])
result[idx_valid] = interp.ev(xi[idx_valid, 0], xi[idx_valid, 1])
result[np.logical_not(idx_valid)] = fill_value
return result.reshape(xi_shape[:-1])
# backward compatibility wrapper
class ppform(PPoly):
"""
Deprecated piecewise polynomial class.
New code should use the `PPoly` class instead.
"""
def __init__(self, coeffs, breaks, fill=0.0, sort=False):
warnings.warn("ppform is deprecated -- use PPoly instead",
category=DeprecationWarning)
if sort:
breaks = np.sort(breaks)
else:
breaks = np.asarray(breaks)
PPoly.__init__(self, coeffs, breaks)
self.coeffs = self.c
self.breaks = self.x
self.K = self.coeffs.shape[0]
self.fill = fill
self.a = self.breaks[0]
self.b = self.breaks[-1]
def __call__(self, x):
return PPoly.__call__(self, x, 0, False)
def _evaluate(self, x, nu, extrapolate, out):
PPoly._evaluate(self, x, nu, extrapolate, out)
out[~((x >= self.a) & (x <= self.b))] = self.fill
return out
@classmethod
def fromspline(cls, xk, cvals, order, fill=0.0):
# Note: this spline representation is incompatible with FITPACK
N = len(xk)-1
sivals = np.empty((order+1, N), dtype=float)
for m in xrange(order, -1, -1):
fact = spec.gamma(m+1)
res = _fitpack._bspleval(xk[:-1], xk, cvals, order, m)
res /= fact
sivals[order-m, :] = res
return cls(sivals, xk, fill=fill)
def _dot0(a, b):
"""Similar to numpy.dot, but sum over last axis of a and 1st axis of b"""
if b.ndim <= 2:
return dot(a, b)
else:
axes = list(range(b.ndim))
axes.insert(-1, 0)
axes.pop(0)
return dot(a, b.transpose(axes))
def _find_smoothest(xk, yk, order, conds=None, B=None):
# construct Bmatrix, and Jmatrix
# e = J*c
# minimize norm(e,2) given B*c=yk
# if desired B can be given
# conds is ignored
N = len(xk)-1
K = order
if B is None:
B = _fitpack._bsplmat(order, xk)
J = _fitpack._bspldismat(order, xk)
u, s, vh = scipy.linalg.svd(B)
ind = K-1
V2 = vh[-ind:,:].T
V1 = vh[:-ind,:].T
A = dot(J.T,J)
tmp = dot(V2.T,A)
Q = dot(tmp,V2)
p = scipy.linalg.solve(Q, tmp)
tmp = dot(V2,p)
tmp = np.eye(N+K) - tmp
tmp = dot(tmp,V1)
tmp = dot(tmp,np.diag(1.0/s))
tmp = dot(tmp,u.T)
return _dot0(tmp, yk)
def _setdiag(a, k, v):
if not a.ndim == 2:
raise ValueError("Input array should be 2-D.")
M,N = a.shape
if k > 0:
start = k
num = N - k
else:
num = M + k
start = abs(k)*N
end = start + num*(N+1)-1
a.flat[start:end:(N+1)] = v
# Return the spline that minimizes the dis-continuity of the
# "order-th" derivative; for order >= 2.
def _find_smoothest2(xk, yk):
N = len(xk) - 1
Np1 = N + 1
# find pseudo-inverse of B directly.
Bd = np.empty((Np1, N))
for k in range(-N,N):
if (k < 0):
l = np.arange(-k, Np1)
v = (l+k+1)
if ((k+1) % 2):
v = -v
else:
l = np.arange(k,N)
v = N - l
if ((k % 2)):
v = -v
_setdiag(Bd, k, v)
Bd /= (Np1)
V2 = np.ones((Np1,))
V2[1::2] = -1
V2 /= math.sqrt(Np1)
dk = np.diff(xk)
b = 2*np.diff(yk, axis=0)/dk
J = np.zeros((N-1,N+1))
idk = 1.0/dk
_setdiag(J,0,idk[:-1])
_setdiag(J,1,-idk[1:]-idk[:-1])
_setdiag(J,2,idk[1:])
A = dot(J.T,J)
val = dot(V2,dot(A,V2))
res1 = dot(np.outer(V2,V2)/val,A)
mk = dot(np.eye(Np1)-res1, _dot0(Bd,b))
return mk
def _get_spline2_Bb(xk, yk, kind, conds):
Np1 = len(xk)
dk = xk[1:]-xk[:-1]
if kind == 'not-a-knot':
# use banded-solver
nlu = (1,1)
B = ones((3,Np1))
alpha = 2*(yk[1:]-yk[:-1])/dk
zrs = np.zeros((1,)+yk.shape[1:])
row = (Np1-1)//2
b = np.concatenate((alpha[:row],zrs,alpha[row:]),axis=0)
B[0,row+2:] = 0
B[2,:(row-1)] = 0
B[0,row+1] = dk[row-1]
B[1,row] = -dk[row]-dk[row-1]
B[2,row-1] = dk[row]
return B, b, None, nlu
else:
raise NotImplementedError("quadratic %s is not available" % kind)
def _get_spline3_Bb(xk, yk, kind, conds):
# internal function to compute different tri-diagonal system
# depending on the kind of spline requested.
# conds is only used for 'second' and 'first'
Np1 = len(xk)
if kind in ['natural', 'second']:
if kind == 'natural':
m0, mN = 0.0, 0.0
else:
m0, mN = conds
# the matrix to invert is (N-1,N-1)
# use banded solver
beta = 2*(xk[2:]-xk[:-2])
alpha = xk[1:]-xk[:-1]
nlu = (1,1)
B = np.empty((3,Np1-2))
B[0,1:] = alpha[2:]
B[1,:] = beta
B[2,:-1] = alpha[1:-1]
dyk = yk[1:]-yk[:-1]
b = (dyk[1:]/alpha[1:] - dyk[:-1]/alpha[:-1])
b *= 6
b[0] -= m0
b[-1] -= mN
def append_func(mk):
# put m0 and mN into the correct shape for
# concatenation
ma = array(m0,copy=0,ndmin=yk.ndim)
mb = array(mN,copy=0,ndmin=yk.ndim)
if ma.shape[1:] != yk.shape[1:]:
ma = ma*(ones(yk.shape[1:])[np.newaxis,...])
if mb.shape[1:] != yk.shape[1:]:
mb = mb*(ones(yk.shape[1:])[np.newaxis,...])
mk = np.concatenate((ma,mk),axis=0)
mk = np.concatenate((mk,mb),axis=0)
return mk
return B, b, append_func, nlu
elif kind in ['clamped', 'endslope', 'first', 'not-a-knot', 'runout',
'parabolic']:
if kind == 'endslope':
# match slope of lagrange interpolating polynomial of
# order 3 at end-points.
x0,x1,x2,x3 = xk[:4]
sl_0 = (1./(x0-x1)+1./(x0-x2)+1./(x0-x3))*yk[0]
sl_0 += (x0-x2)*(x0-x3)/((x1-x0)*(x1-x2)*(x1-x3))*yk[1]
sl_0 += (x0-x1)*(x0-x3)/((x2-x0)*(x2-x1)*(x3-x2))*yk[2]
sl_0 += (x0-x1)*(x0-x2)/((x3-x0)*(x3-x1)*(x3-x2))*yk[3]
xN3,xN2,xN1,xN0 = xk[-4:]
sl_N = (1./(xN0-xN1)+1./(xN0-xN2)+1./(xN0-xN3))*yk[-1]
sl_N += (xN0-xN2)*(xN0-xN3)/((xN1-xN0)*(xN1-xN2)*(xN1-xN3))*yk[-2]
sl_N += (xN0-xN1)*(xN0-xN3)/((xN2-xN0)*(xN2-xN1)*(xN3-xN2))*yk[-3]
sl_N += (xN0-xN1)*(xN0-xN2)/((xN3-xN0)*(xN3-xN1)*(xN3-xN2))*yk[-4]
elif kind == 'clamped':
sl_0, sl_N = 0.0, 0.0
elif kind == 'first':
sl_0, sl_N = conds
# Now set up the (N+1)x(N+1) system of equations
beta = np.r_[0,2*(xk[2:]-xk[:-2]),0]
alpha = xk[1:]-xk[:-1]
gamma = np.r_[0,alpha[1:]]
B = np.diag(alpha,k=-1) + np.diag(beta) + np.diag(gamma,k=1)
d1 = alpha[0]
dN = alpha[-1]
if kind == 'not-a-knot':
d2 = alpha[1]
dN1 = alpha[-2]
B[0,:3] = [d2,-d1-d2,d1]
B[-1,-3:] = [dN,-dN1-dN,dN1]
elif kind == 'runout':
B[0,:3] = [1,-2,1]
B[-1,-3:] = [1,-2,1]
elif kind == 'parabolic':
B[0,:2] = [1,-1]
B[-1,-2:] = [-1,1]
elif kind == 'periodic':
raise NotImplementedError
elif kind == 'symmetric':
raise NotImplementedError
else:
B[0,:2] = [2*d1,d1]
B[-1,-2:] = [dN,2*dN]
# Set up RHS (b)
b = np.empty((Np1,)+yk.shape[1:])
dyk = (yk[1:]-yk[:-1])*1.0
if kind in ['not-a-knot', 'runout', 'parabolic']:
b[0] = b[-1] = 0.0
elif kind == 'periodic':
raise NotImplementedError
elif kind == 'symmetric':
raise NotImplementedError
else:
b[0] = (dyk[0]/d1 - sl_0)
b[-1] = -(dyk[-1]/dN - sl_N)
b[1:-1,...] = (dyk[1:]/alpha[1:]-dyk[:-1]/alpha[:-1])
b *= 6.0
return B, b, None, None
else:
raise ValueError("%s not supported" % kind)
# conds is a tuple of an array and a vector
# giving the left-hand and the right-hand side
# of the additional equations to add to B
def _find_user(xk, yk, order, conds, B):
lh = conds[0]
rh = conds[1]
B = np.concatenate((B, lh), axis=0)
w = np.concatenate((yk, rh), axis=0)
M, N = B.shape
if (M > N):
raise ValueError("over-specification of conditions")
elif (M < N):
return _find_smoothest(xk, yk, order, None, B)
else:
return scipy.linalg.solve(B, w)
# If conds is None, then use the not_a_knot condition
# at K-1 farthest separated points in the interval
def _find_not_a_knot(xk, yk, order, conds, B):
raise NotImplementedError
return _find_user(xk, yk, order, conds, B)
# If conds is None, then ensure zero-valued second
# derivative at K-1 farthest separated points
def _find_natural(xk, yk, order, conds, B):
raise NotImplementedError
return _find_user(xk, yk, order, conds, B)
# If conds is None, then ensure zero-valued first
# derivative at K-1 farthest separated points
def _find_clamped(xk, yk, order, conds, B):
raise NotImplementedError
return _find_user(xk, yk, order, conds, B)
def _find_fixed(xk, yk, order, conds, B):
raise NotImplementedError
return _find_user(xk, yk, order, conds, B)
# If conds is None, then use coefficient periodicity
# If conds is 'function' then use function periodicity
def _find_periodic(xk, yk, order, conds, B):
raise NotImplementedError
return _find_user(xk, yk, order, conds, B)
# Doesn't use conds
def _find_symmetric(xk, yk, order, conds, B):
raise NotImplementedError
return _find_user(xk, yk, order, conds, B)
# conds is a dictionary with multiple values
def _find_mixed(xk, yk, order, conds, B):
raise NotImplementedError
return _find_user(xk, yk, order, conds, B)
def splmake(xk, yk, order=3, kind='smoothest', conds=None):
"""
Return a representation of a spline given data-points at internal knots
Parameters
----------
xk : array_like
The input array of x values of rank 1
yk : array_like
The input array of y values of rank N. `yk` can be an N-d array to
represent more than one curve, through the same `xk` points. The first
dimension is assumed to be the interpolating dimension and is the same
length of `xk`.
order : int, optional
Order of the spline
kind : str, optional
Can be 'smoothest', 'not_a_knot', 'fixed', 'clamped', 'natural',
'periodic', 'symmetric', 'user', 'mixed' and it is ignored if order < 2
conds : optional
Conds
Returns
-------
splmake : tuple
Return a (`xk`, `cvals`, `k`) representation of a spline given
data-points where the (internal) knots are at the data-points.
"""
yk = np.asanyarray(yk)
order = int(order)
if order < 0:
raise ValueError("order must not be negative")
if order == 0:
return xk, yk[:-1], order
elif order == 1:
return xk, yk, order
try:
func = eval('_find_%s' % kind)
except:
raise NotImplementedError
# the constraint matrix
B = _fitpack._bsplmat(order, xk)
coefs = func(xk, yk, order, conds, B)
return xk, coefs, order
def spleval(xck, xnew, deriv=0):
"""
Evaluate a fixed spline represented by the given tuple at the new x-values
The `xj` values are the interior knot points. The approximation
region is `xj[0]` to `xj[-1]`. If N+1 is the length of `xj`, then `cvals`
should have length N+k where `k` is the order of the spline.
Parameters
----------
(xj, cvals, k) : tuple
Parameters that define the fixed spline
xj : array_like
Interior knot points
cvals : array_like
Curvature
k : int
Order of the spline
xnew : array_like
Locations to calculate spline
deriv : int
Deriv
Returns
-------
spleval : ndarray
If `cvals` represents more than one curve (`cvals.ndim` > 1) and/or
`xnew` is N-d, then the result is `xnew.shape` + `cvals.shape[1:]`
providing the interpolation of multiple curves.
Notes
-----
Internally, an additional `k`-1 knot points are added on either side of
the spline.
"""
(xj,cvals,k) = xck
oldshape = np.shape(xnew)
xx = np.ravel(xnew)
sh = cvals.shape[1:]
res = np.empty(xx.shape + sh, dtype=cvals.dtype)
for index in np.ndindex(*sh):
sl = (slice(None),)+index
if issubclass(cvals.dtype.type, np.complexfloating):
res[sl].real = _fitpack._bspleval(xx,xj,cvals.real[sl],k,deriv)
res[sl].imag = _fitpack._bspleval(xx,xj,cvals.imag[sl],k,deriv)
else:
res[sl] = _fitpack._bspleval(xx,xj,cvals[sl],k,deriv)
res.shape = oldshape + sh
return res
def spltopp(xk, cvals, k):
"""Return a piece-wise polynomial object from a fixed-spline tuple.
"""
return ppform.fromspline(xk, cvals, k)
def spline(xk, yk, xnew, order=3, kind='smoothest', conds=None):
"""
Interpolate a curve at new points using a spline fit
Parameters
----------
xk, yk : array_like
The x and y values that define the curve.
xnew : array_like
The x values where spline should estimate the y values.
order : int
Default is 3.
kind : string
One of {'smoothest'}
conds : Don't know
Don't know
Returns
-------
spline : ndarray
An array of y values; the spline evaluated at the positions `xnew`.
"""
return spleval(splmake(xk,yk,order=order,kind=kind,conds=conds),xnew)
| mit |
silbertmonaphia/ml | run.py | 1 | 4732 | #! /usr/bin/env python
# encoding:utf-8
import numpy as np
import random
from scipy.io import arff
from sklearn.cross_validation import StratifiedKFold # balanced better!
from sklearn.cross_validation import train_test_split # not balanced
from sklearn import metrics
from sklearn.svm import SVC
from sklearn.naive_bayes import MultinomialNB
from sklearn.tree import DecisionTreeClassifier
from selflearning import SelfLearningModel
from cotraining import CoTrainingClassifier
import matplotlib.pyplot as plt
def loadData(filepath):
# feature[[],[]]
X = []
# tag['pos','neg']
y = []
# load arff file
with open(filepath, 'rb') as f:
data, meta = arff.loadarff(f)
for line in data:
if line[-1] == 'pos':
y.append(1)
else:
y.append(0)
line = list(line)
# pop the tag out of line
line.pop()
X.append(line)
X = np.array(X)
y = np.array(y)
return X, y
def cross_validation(X, y):
skf1 = StratifiedKFold(y, n_folds=4,shuffle=True)
for train_index, test_index in skf1:
X_train, X_test = X[train_index], X[test_index]
y_train, y_test = y[train_index], y[test_index]
skf2 = StratifiedKFold(y_train, n_folds=75,shuffle=True)
for unlabeled_index, labeled_index in skf2:
X_unlabeled, X_labeled = X[unlabeled_index], X[labeled_index]
y_unlabeled, y_labeled = y[unlabeled_index], y[labeled_index]
break
# X_labeled=18 y_labeled=18 X_unlabeled=1332 X_test=450 y_test=450
yield X_labeled, y_labeled, X_unlabeled, X_test, y_test
def evaluation(y_test, predict, accuracyonly=True):
accuracy = metrics.accuracy_score(y_test, predict)
if not accuracyonly:
# can print out precision recall and f1
print metrics.classification_report(y_test, predict)
return accuracy
def test_baseline(X_labeled, y_labeled, X_test, y_test):
clf_SVM = SVC(kernel='linear', probability=True)
# clf_SVM = MultinomialNB()
print '\nstart testing baseline :/'
print 'svm'
clf_SVM.fit(X_labeled, y_labeled)
predict = clf_SVM.predict(X_test)
accuracy_bl_svm = evaluation(y_test, predict)
return accuracy_bl_svm
def test_selftraing(X_labeled, y_labeled, X_unlabeled, X_test, y_test):
# SSL-SelfTraining
print '\nstart testing SSL-SelfTraining :D'
# svm has to turn on probability parameter
clf_SVM = SVC(kernel='linear', probability=True)
# clf_SVM = MultinomialNB()
ssl_slm_svm = SelfLearningModel(clf_SVM)
ssl_slm_svm.fit(X_labeled, y_labeled, X_unlabeled)
predict = ssl_slm_svm.predict(X_test)
accuracy_sf_svm = evaluation(y_test, predict)
return accuracy_sf_svm
def test_cotraining(X_labeled, y_labeled, X_unlabeled, X_test, y_test):
# SSL-Co-Training
print '\nstart testing SSL-CoTraining :)'
clf_SVM = SVC(kernel='linear', probability=True)
# clf_SVM = MultinomialNB()
# an object is a class with status,it has memories
print 'svm'
ssl_ctc_svm = CoTrainingClassifier(clf_SVM)
ssl_ctc_svm.fit(X_labeled, y_labeled, X_unlabeled)
predict_clf1 = ssl_ctc_svm.predict(X_test)
accuracy_co_svm = evaluation(y_test, predict_clf1)
return accuracy_co_svm
if __name__ == '__main__':
# the number of experitments
experitments = 4
# the classifiers that we use
clfs = ['svm']
# load arff file as X,y ndarray like
X, y = loadData('./text/JDMilk.arff')
# labeled 1%,unlabeled 74%,test 25%
cv_generator = cross_validation(X, y)
clf_num = len(clfs)
accuracy_bl = np.zeros((0, clf_num))
accuracy_sf = np.zeros((0, clf_num))
accuracy_co = np.zeros((0, clf_num))
# Cross validation for 10 times,and compute the average of accuracy
for i in range(experitments):
print '=' * 10, str(i), 'time'
X_labeled, y_labeled, X_unlabeled, X_test, y_test = cv_generator.next()
accuracy_bl = np.vstack((accuracy_bl, np.asarray(test_baseline(X_labeled, y_labeled, X_test, y_test))))
accuracy_sf = np.vstack((accuracy_sf, np.asarray(test_selftraing(X_labeled, y_labeled, X_unlabeled, X_test, y_test))))
accuracy_co = np.vstack((accuracy_co, np.asarray(test_cotraining(X_labeled, y_labeled, X_unlabeled, X_test, y_test))))
print '\n.... final static average ....\n'
for i, clf in enumerate(clfs):
print clf
print 'baseline: ', sum(accuracy_bl[:, i]) / float(len(accuracy_bl[:, i]))
print 'selftraining: ', sum(accuracy_sf[:, i]) / float(len(accuracy_sf[:, i]))
print 'cotraining:', sum(accuracy_co[:, i]) / float(len(accuracy_co[:, i]))
| gpl-3.0 |
weka511/astro | jacobi3d.py | 1 | 1442 | # Copyright (C) 2016 Greenweaves Software Pty Ltd
# This is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
# This software is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
# You should have received a copy of the GNU General Public License
# along with this software. If not, see <http://www.gnu.org/licenses/>
from mpl_toolkits.mplot3d import Axes3D
import numpy as np, matplotlib.pyplot as plt, math as m, jacobi,matplotlib.colors as clrs
def plot_3d(limit=2,eps=0.001,minZ=-3.9,maxZ=-2.84,steps=1000):
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
xlist = np.linspace(-limit, limit+eps, steps)
ylist = np.linspace(-limit, limit+eps, steps)
X,Y = np.meshgrid(xlist, ylist)
Z = -jacobi.jacobi(X,Y)
Z[Z<minZ]= np.nan
Z[Z>maxZ]= np.nan
norm = clrs.Normalize(vmin = minZ, vmax = maxZ, clip = False)
surf=ax.plot_surface(X, Y, Z,cmap=plt.cm.jet,norm=norm)
ax.set_xlim(-limit,limit)
ax.set_ylim(-limit,limit)
fig.colorbar(surf, shrink=0.5, aspect=5)
if __name__=='__main__':
plot_3d(limit=1)
| lgpl-3.0 |
michaeljohnbennett/zipline | zipline/modelling/engine.py | 7 | 15401 | """
Compute Engine for FFC API
"""
from abc import (
ABCMeta,
abstractmethod,
)
from operator import and_
from six import (
iteritems,
itervalues,
with_metaclass,
)
from six.moves import (
reduce,
zip_longest,
)
from numpy import (
add,
empty_like,
)
from pandas import (
DataFrame,
date_range,
MultiIndex,
)
from zipline.lib.adjusted_array import ensure_ndarray
from zipline.errors import NoFurtherDataError
from zipline.modelling.classifier import Classifier
from zipline.modelling.factor import Factor
from zipline.modelling.filter import Filter
from zipline.modelling.graph import TermGraph
class FFCEngine(with_metaclass(ABCMeta)):
@abstractmethod
def factor_matrix(self, terms, start_date, end_date):
"""
Compute values for `terms` between `start_date` and `end_date`.
Returns a DataFrame with a MultiIndex of (date, asset) pairs on the
index. On each date, we return a row for each asset that passed all
instances of `Filter` in `terms, and the columns of the returned frame
will be the keys in `terms` whose values are instances of `Factor`.
Parameters
----------
terms : dict
Map from str -> zipline.modelling.term.Term.
start_date : datetime
The first date of the matrix.
end_date : datetime
The last date of the matrix.
Returns
-------
matrix : pd.DataFrame
A matrix of factors
"""
raise NotImplementedError("factor_matrix")
class NoOpFFCEngine(FFCEngine):
"""
FFCEngine that doesn't do anything.
"""
def factor_matrix(self, terms, start_date, end_date):
return DataFrame(
index=MultiIndex.from_product(
[date_range(start=start_date, end=end_date, freq='D'), ()],
),
columns=sorted(terms.keys())
)
class SimpleFFCEngine(object):
"""
FFC Engine class that computes each term independently.
Parameters
----------
loader : FFCLoader
A loader to use to retrieve raw data for atomic terms.
calendar : DatetimeIndex
Array of dates to consider as trading days when computing a range
between a fixed start and end.
asset_finder : zipline.assets.AssetFinder
An AssetFinder instance. We depend on the AssetFinder to determine
which assets are in the top-level universe at any point in time.
"""
__slots__ = [
'_loader',
'_calendar',
'_finder',
'__weakref__',
]
def __init__(self, loader, calendar, asset_finder):
self._loader = loader
self._calendar = calendar
self._finder = asset_finder
def factor_matrix(self, terms, start_date, end_date):
"""
Compute a factor matrix.
Parameters
----------
terms : dict[str -> zipline.modelling.term.Term]
Dict mapping term names to instances. The supplied names are used
as column names in our output frame.
start_date : pd.Timestamp
Start date of the computed matrix.
end_date : pd.Timestamp
End date of the computed matrix.
The algorithm implemented here can be broken down into the following
stages:
0. Build a dependency graph of all terms in `terms`. Topologically
sort the graph to determine an order in which we can compute the terms.
1. Ask our AssetFinder for a "lifetimes matrix", which should contain,
for each date between start_date and end_date, a boolean value for each
known asset indicating whether the asset existed on that date.
2. Compute each term in the dependency order determined in (0), caching
the results in a a dictionary to that they can be fed into future
terms.
3. For each date, determine the number of assets passing **all**
filters. The sum, N, of all these values is the total number of rows in
our output frame, so we pre-allocate an output array of length N for
each factor in `terms`.
4. Fill in the arrays allocated in (3) by copying computed values from
our output cache into the corresponding rows.
5. Stick the values computed in (4) into a DataFrame and return it.
Step 0 is performed by `zipline.modelling.graph.TermGraph`.
Step 1 is performed in `self.build_lifetimes_matrix`.
Step 2 is performed in `self.compute_chunk`.
Steps 3, 4, and 5 are performed in self._format_factor_matrix.
See Also
--------
FFCEngine.factor_matrix
"""
if end_date <= start_date:
raise ValueError(
"start_date must be before end_date \n"
"start_date=%s, end_date=%s" % (start_date, end_date)
)
graph = TermGraph(terms)
max_extra_rows = graph.max_extra_rows
lifetimes = self.build_lifetimes_matrix(
start_date,
end_date,
max_extra_rows,
)
raw_outputs = self.compute_chunk(graph, lifetimes, {})
lifetimes_between_dates = lifetimes[max_extra_rows:]
dates = lifetimes_between_dates.index.values
assets = lifetimes_between_dates.columns.values
# We only need filters and factors to compute the final output matrix.
filters, factors = {}, {}
for name, term in iteritems(terms):
if isinstance(term, Filter):
filters[name] = raw_outputs[name]
elif isinstance(term, Factor):
factors[name] = raw_outputs[name]
elif isinstance(term, Classifier):
continue
else:
raise ValueError("Unknown term type: %s" % term)
# Treat base_mask as an implicit filter.
# TODO: Is there a clean way to make this actually just be a filter?
filters['base'] = lifetimes_between_dates.values
return self._format_factor_matrix(dates, assets, filters, factors)
def build_lifetimes_matrix(self, start_date, end_date, extra_rows):
"""
Compute a lifetimes matrix from our AssetFinder, then drop columns that
didn't exist at all during the query dates.
Parameters
----------
start_date : pd.Timestamp
Base start date for the matrix.
end_date : pd.Timestamp
End date for the matrix.
extra_rows : int
Number of rows prior to `start_date` to include.
Extra rows are needed by terms like moving averages that require a
trailing window of data to compute.
Returns
-------
lifetimes : pd.DataFrame
Frame of dtype `bool` containing dates from `extra_rows` days
before `start_date`, continuing through to `end_date`. The
returned frame contains as columns all assets in our AssetFinder
that existed for at least one day between `start_date` and
`end_date`.
"""
calendar = self._calendar
finder = self._finder
start_idx, end_idx = self._calendar.slice_locs(start_date, end_date)
if start_idx < extra_rows:
raise NoFurtherDataError(
msg="Insufficient data to compute FFC Matrix: "
"start date was %s, "
"earliest known date was %s, "
"and %d extra rows were requested." % (
start_date, calendar[0], extra_rows,
),
)
# Build lifetimes matrix reaching back to `extra_rows` days before
# `start_date.`
lifetimes = finder.lifetimes(
calendar[start_idx - extra_rows:end_idx]
)
assert lifetimes.index[extra_rows] == start_date
assert lifetimes.index[-1] == end_date
if not lifetimes.columns.unique:
columns = lifetimes.columns
duplicated = columns[columns.duplicated()].unique()
raise AssertionError("Duplicated sids: %d" % duplicated)
# Filter out columns that didn't exist between the requested start and
# end dates.
existed = lifetimes.iloc[extra_rows:].any()
return lifetimes.loc[:, existed]
def _inputs_for_term(self, term, workspace, extra_rows):
"""
Compute inputs for the given term.
This is mostly complicated by the fact that for each input we store
as many rows as will be necessary to serve any term requiring that
input. Thus if Factor A needs 5 extra rows of price, and Factor B
needs 3 extra rows of price, we need to remove 2 leading rows from our
stored prices before passing them to Factor B.
"""
term_extra_rows = term.extra_input_rows
if term.windowed:
return [
workspace[input_].traverse(
term.window_length,
offset=extra_rows[input_] - term_extra_rows
)
for input_ in term.inputs
]
else:
return [
ensure_ndarray(
workspace[input_][
extra_rows[input_] - term_extra_rows:
],
)
for input_ in term.inputs
]
def compute_chunk(self, graph, base_mask, initial_workspace):
"""
Compute the FFC terms in the graph for the requested start and end
dates.
Parameters
----------
graph : zipline.modelling.graph.TermGraph
Returns
-------
results : dict
Dictionary mapping requested results to outputs.
"""
loader = self._loader
extra_rows = graph.extra_rows
max_extra_rows = graph.max_extra_rows
workspace = {}
if initial_workspace is not None:
workspace.update(initial_workspace)
for term in graph.ordered():
# Subclasses are allowed to pre-populate computed values for terms,
# and in the future we may pre-compute atomic terms coming from the
# same dataset. In both cases, it's possible that we already have
# an entry for this term.
if term in workspace:
continue
base_mask_for_term = base_mask.iloc[
max_extra_rows - extra_rows[term]:
]
if term.atomic:
# FUTURE OPTIMIZATION: Scan the resolution order for terms in
# the same dataset and load them here as well.
to_load = [term]
loaded = loader.load_adjusted_array(
to_load,
base_mask_for_term,
)
for loaded_term, adj_array in zip_longest(to_load, loaded):
workspace[loaded_term] = adj_array
else:
if term.windowed:
compute = term.compute_from_windows
else:
compute = term.compute_from_arrays
workspace[term] = compute(
self._inputs_for_term(term, workspace, extra_rows),
base_mask_for_term,
)
assert(workspace[term].shape == base_mask_for_term.shape)
out = {}
for name, term in iteritems(graph.outputs):
# Truncate off extra rows from outputs.
out[name] = workspace[term][extra_rows[term]:]
return out
def _format_factor_matrix(self, dates, assets, filters, factors):
"""
Convert raw computed filters/factors into a DataFrame for public APIs.
Parameters
----------
dates : np.array[datetime64]
Row index for arrays in `filters` and `factors.`
assets : np.array[int64]
Column index for arrays in `filters` and `factors.`
filters : dict
Dict mapping filter names -> computed filters.
factors : dict
Dict mapping factor names -> computed factors.
Returns
-------
factor_matrix : pd.DataFrame
The indices of `factor_matrix` are as follows:
index : two-tiered MultiIndex of (date, asset).
For each date, we return a row for each asset that passed all
filters on that date.
columns : keys from `factor_data`
Each date/asset/factor triple contains the computed value of the given
factor on the given date for the given asset.
"""
# FUTURE OPTIMIZATION: Cythonize all of this.
# Boolean mask of values that passed all filters.
unioned = reduce(and_, itervalues(filters))
# Parallel arrays of (x,y) coords for (date, asset) pairs that passed
# all filters. Each entry here will correspond to a row in our output
# frame.
nonzero_xs, nonzero_ys = unioned.nonzero()
# Raw arrays storing (date, asset) pairs.
# These will form the index of our output frame.
raw_dates_index = empty_like(nonzero_xs, dtype='datetime64[ns]')
raw_assets_index = empty_like(nonzero_xs, dtype=int)
# Mapping from column_name -> array.
# This will be the `data` arg to our output frame.
columns = {
name: empty_like(nonzero_xs, dtype=factor.dtype)
for name, factor in iteritems(factors)
}
# We're going to iterate over `iteritems(columns)` a whole bunch of
# times down below. It's faster to construct iterate over a tuple of
# pairs.
columns_iter = tuple(iteritems(columns))
# This is tricky.
# unioned.sum(axis=1) gives us an array of the same size as `dates`
# containing, for each date, the number of assets that passed our
# filters on that date.
# Running this through add.accumulate gives us an array containing, for
# each date, the running total of the number of assets that passed our
# filters on or before that date.
# This means that (bounds[i - 1], bounds[i]) gives us the indices of
# the first and last rows in our output frame for each date in `dates`.
bounds = add.accumulate(unioned.sum(axis=1))
day_start = 0
for day_idx, day_end in enumerate(bounds):
day_bounds = slice(day_start, day_end)
column_indices = nonzero_ys[day_bounds]
raw_dates_index[day_bounds] = dates[day_idx]
raw_assets_index[day_bounds] = assets[column_indices]
for name, colarray in columns_iter:
colarray[day_bounds] = factors[name][day_idx, column_indices]
# Upper bound of current row becomes lower bound for next row.
day_start = day_end
return DataFrame(
data=columns,
index=MultiIndex.from_arrays(
[
raw_dates_index,
# FUTURE OPTIMIZATION:
# Avoid duplicate lookups by grouping and only looking up
# each unique sid once.
self._finder.retrieve_all(raw_assets_index),
],
)
).tz_localize('UTC', level=0)
| apache-2.0 |
pkruskal/scikit-learn | sklearn/linear_model/ransac.py | 191 | 14261 | # coding: utf-8
# Author: Johannes Schönberger
#
# License: BSD 3 clause
import numpy as np
from ..base import BaseEstimator, MetaEstimatorMixin, RegressorMixin, clone
from ..utils import check_random_state, check_array, check_consistent_length
from ..utils.random import sample_without_replacement
from ..utils.validation import check_is_fitted
from .base import LinearRegression
_EPSILON = np.spacing(1)
def _dynamic_max_trials(n_inliers, n_samples, min_samples, probability):
"""Determine number trials such that at least one outlier-free subset is
sampled for the given inlier/outlier ratio.
Parameters
----------
n_inliers : int
Number of inliers in the data.
n_samples : int
Total number of samples in the data.
min_samples : int
Minimum number of samples chosen randomly from original data.
probability : float
Probability (confidence) that one outlier-free sample is generated.
Returns
-------
trials : int
Number of trials.
"""
inlier_ratio = n_inliers / float(n_samples)
nom = max(_EPSILON, 1 - probability)
denom = max(_EPSILON, 1 - inlier_ratio ** min_samples)
if nom == 1:
return 0
if denom == 1:
return float('inf')
return abs(float(np.ceil(np.log(nom) / np.log(denom))))
class RANSACRegressor(BaseEstimator, MetaEstimatorMixin, RegressorMixin):
"""RANSAC (RANdom SAmple Consensus) algorithm.
RANSAC is an iterative algorithm for the robust estimation of parameters
from a subset of inliers from the complete data set. More information can
be found in the general documentation of linear models.
A detailed description of the algorithm can be found in the documentation
of the ``linear_model`` sub-package.
Read more in the :ref:`User Guide <RansacRegression>`.
Parameters
----------
base_estimator : object, optional
Base estimator object which implements the following methods:
* `fit(X, y)`: Fit model to given training data and target values.
* `score(X, y)`: Returns the mean accuracy on the given test data,
which is used for the stop criterion defined by `stop_score`.
Additionally, the score is used to decide which of two equally
large consensus sets is chosen as the better one.
If `base_estimator` is None, then
``base_estimator=sklearn.linear_model.LinearRegression()`` is used for
target values of dtype float.
Note that the current implementation only supports regression
estimators.
min_samples : int (>= 1) or float ([0, 1]), optional
Minimum number of samples chosen randomly from original data. Treated
as an absolute number of samples for `min_samples >= 1`, treated as a
relative number `ceil(min_samples * X.shape[0]`) for
`min_samples < 1`. This is typically chosen as the minimal number of
samples necessary to estimate the given `base_estimator`. By default a
``sklearn.linear_model.LinearRegression()`` estimator is assumed and
`min_samples` is chosen as ``X.shape[1] + 1``.
residual_threshold : float, optional
Maximum residual for a data sample to be classified as an inlier.
By default the threshold is chosen as the MAD (median absolute
deviation) of the target values `y`.
is_data_valid : callable, optional
This function is called with the randomly selected data before the
model is fitted to it: `is_data_valid(X, y)`. If its return value is
False the current randomly chosen sub-sample is skipped.
is_model_valid : callable, optional
This function is called with the estimated model and the randomly
selected data: `is_model_valid(model, X, y)`. If its return value is
False the current randomly chosen sub-sample is skipped.
Rejecting samples with this function is computationally costlier than
with `is_data_valid`. `is_model_valid` should therefore only be used if
the estimated model is needed for making the rejection decision.
max_trials : int, optional
Maximum number of iterations for random sample selection.
stop_n_inliers : int, optional
Stop iteration if at least this number of inliers are found.
stop_score : float, optional
Stop iteration if score is greater equal than this threshold.
stop_probability : float in range [0, 1], optional
RANSAC iteration stops if at least one outlier-free set of the training
data is sampled in RANSAC. This requires to generate at least N
samples (iterations)::
N >= log(1 - probability) / log(1 - e**m)
where the probability (confidence) is typically set to high value such
as 0.99 (the default) and e is the current fraction of inliers w.r.t.
the total number of samples.
residual_metric : callable, optional
Metric to reduce the dimensionality of the residuals to 1 for
multi-dimensional target values ``y.shape[1] > 1``. By default the sum
of absolute differences is used::
lambda dy: np.sum(np.abs(dy), axis=1)
random_state : integer or numpy.RandomState, optional
The generator used to initialize the centers. If an integer is
given, it fixes the seed. Defaults to the global numpy random
number generator.
Attributes
----------
estimator_ : object
Best fitted model (copy of the `base_estimator` object).
n_trials_ : int
Number of random selection trials until one of the stop criteria is
met. It is always ``<= max_trials``.
inlier_mask_ : bool array of shape [n_samples]
Boolean mask of inliers classified as ``True``.
References
----------
.. [1] http://en.wikipedia.org/wiki/RANSAC
.. [2] http://www.cs.columbia.edu/~belhumeur/courses/compPhoto/ransac.pdf
.. [3] http://www.bmva.org/bmvc/2009/Papers/Paper355/Paper355.pdf
"""
def __init__(self, base_estimator=None, min_samples=None,
residual_threshold=None, is_data_valid=None,
is_model_valid=None, max_trials=100,
stop_n_inliers=np.inf, stop_score=np.inf,
stop_probability=0.99, residual_metric=None,
random_state=None):
self.base_estimator = base_estimator
self.min_samples = min_samples
self.residual_threshold = residual_threshold
self.is_data_valid = is_data_valid
self.is_model_valid = is_model_valid
self.max_trials = max_trials
self.stop_n_inliers = stop_n_inliers
self.stop_score = stop_score
self.stop_probability = stop_probability
self.residual_metric = residual_metric
self.random_state = random_state
def fit(self, X, y):
"""Fit estimator using RANSAC algorithm.
Parameters
----------
X : array-like or sparse matrix, shape [n_samples, n_features]
Training data.
y : array-like, shape = [n_samples] or [n_samples, n_targets]
Target values.
Raises
------
ValueError
If no valid consensus set could be found. This occurs if
`is_data_valid` and `is_model_valid` return False for all
`max_trials` randomly chosen sub-samples.
"""
X = check_array(X, accept_sparse='csr')
y = check_array(y, ensure_2d=False)
check_consistent_length(X, y)
if self.base_estimator is not None:
base_estimator = clone(self.base_estimator)
else:
base_estimator = LinearRegression()
if self.min_samples is None:
# assume linear model by default
min_samples = X.shape[1] + 1
elif 0 < self.min_samples < 1:
min_samples = np.ceil(self.min_samples * X.shape[0])
elif self.min_samples >= 1:
if self.min_samples % 1 != 0:
raise ValueError("Absolute number of samples must be an "
"integer value.")
min_samples = self.min_samples
else:
raise ValueError("Value for `min_samples` must be scalar and "
"positive.")
if min_samples > X.shape[0]:
raise ValueError("`min_samples` may not be larger than number "
"of samples ``X.shape[0]``.")
if self.stop_probability < 0 or self.stop_probability > 1:
raise ValueError("`stop_probability` must be in range [0, 1].")
if self.residual_threshold is None:
# MAD (median absolute deviation)
residual_threshold = np.median(np.abs(y - np.median(y)))
else:
residual_threshold = self.residual_threshold
if self.residual_metric is None:
residual_metric = lambda dy: np.sum(np.abs(dy), axis=1)
else:
residual_metric = self.residual_metric
random_state = check_random_state(self.random_state)
try: # Not all estimator accept a random_state
base_estimator.set_params(random_state=random_state)
except ValueError:
pass
n_inliers_best = 0
score_best = np.inf
inlier_mask_best = None
X_inlier_best = None
y_inlier_best = None
# number of data samples
n_samples = X.shape[0]
sample_idxs = np.arange(n_samples)
n_samples, _ = X.shape
for self.n_trials_ in range(1, self.max_trials + 1):
# choose random sample set
subset_idxs = sample_without_replacement(n_samples, min_samples,
random_state=random_state)
X_subset = X[subset_idxs]
y_subset = y[subset_idxs]
# check if random sample set is valid
if (self.is_data_valid is not None
and not self.is_data_valid(X_subset, y_subset)):
continue
# fit model for current random sample set
base_estimator.fit(X_subset, y_subset)
# check if estimated model is valid
if (self.is_model_valid is not None and not
self.is_model_valid(base_estimator, X_subset, y_subset)):
continue
# residuals of all data for current random sample model
y_pred = base_estimator.predict(X)
diff = y_pred - y
if diff.ndim == 1:
diff = diff.reshape(-1, 1)
residuals_subset = residual_metric(diff)
# classify data into inliers and outliers
inlier_mask_subset = residuals_subset < residual_threshold
n_inliers_subset = np.sum(inlier_mask_subset)
# less inliers -> skip current random sample
if n_inliers_subset < n_inliers_best:
continue
if n_inliers_subset == 0:
raise ValueError("No inliers found, possible cause is "
"setting residual_threshold ({0}) too low.".format(
self.residual_threshold))
# extract inlier data set
inlier_idxs_subset = sample_idxs[inlier_mask_subset]
X_inlier_subset = X[inlier_idxs_subset]
y_inlier_subset = y[inlier_idxs_subset]
# score of inlier data set
score_subset = base_estimator.score(X_inlier_subset,
y_inlier_subset)
# same number of inliers but worse score -> skip current random
# sample
if (n_inliers_subset == n_inliers_best
and score_subset < score_best):
continue
# save current random sample as best sample
n_inliers_best = n_inliers_subset
score_best = score_subset
inlier_mask_best = inlier_mask_subset
X_inlier_best = X_inlier_subset
y_inlier_best = y_inlier_subset
# break if sufficient number of inliers or score is reached
if (n_inliers_best >= self.stop_n_inliers
or score_best >= self.stop_score
or self.n_trials_
>= _dynamic_max_trials(n_inliers_best, n_samples,
min_samples,
self.stop_probability)):
break
# if none of the iterations met the required criteria
if inlier_mask_best is None:
raise ValueError(
"RANSAC could not find valid consensus set, because"
" either the `residual_threshold` rejected all the samples or"
" `is_data_valid` and `is_model_valid` returned False for all"
" `max_trials` randomly ""chosen sub-samples. Consider "
"relaxing the ""constraints.")
# estimate final model using all inliers
base_estimator.fit(X_inlier_best, y_inlier_best)
self.estimator_ = base_estimator
self.inlier_mask_ = inlier_mask_best
return self
def predict(self, X):
"""Predict using the estimated model.
This is a wrapper for `estimator_.predict(X)`.
Parameters
----------
X : numpy array of shape [n_samples, n_features]
Returns
-------
y : array, shape = [n_samples] or [n_samples, n_targets]
Returns predicted values.
"""
check_is_fitted(self, 'estimator_')
return self.estimator_.predict(X)
def score(self, X, y):
"""Returns the score of the prediction.
This is a wrapper for `estimator_.score(X, y)`.
Parameters
----------
X : numpy array or sparse matrix of shape [n_samples, n_features]
Training data.
y : array, shape = [n_samples] or [n_samples, n_targets]
Target values.
Returns
-------
z : float
Score of the prediction.
"""
check_is_fitted(self, 'estimator_')
return self.estimator_.score(X, y)
| bsd-3-clause |
isrohutamahopetechnik/mavlink | pymavlink/tools/mavgraph.py | 18 | 9628 | #!/usr/bin/env python
'''
graph a MAVLink log file
Andrew Tridgell August 2011
'''
import sys, struct, time, os, datetime
import math, re
import matplotlib
from math import *
from pymavlink.mavextra import *
# cope with rename of raw_input in python3
try:
input = raw_input
except NameError:
pass
colourmap = {
'apm' : {
'MANUAL' : (1.0, 0, 0),
'AUTO' : ( 0, 1.0, 0),
'LOITER' : ( 0, 0, 1.0),
'FBWA' : (1.0, 0.5, 0),
'RTL' : ( 1, 0, 0.5),
'STABILIZE' : (0.5, 1.0, 0),
'LAND' : ( 0, 1.0, 0.5),
'STEERING' : (0.5, 0, 1.0),
'HOLD' : ( 0, 0.5, 1.0),
'ALT_HOLD' : (1.0, 0.5, 0.5),
'CIRCLE' : (0.5, 1.0, 0.5),
'POSITION' : (1.0, 0.0, 1.0),
'GUIDED' : (0.5, 0.5, 1.0),
'ACRO' : (1.0, 1.0, 0),
'CRUISE' : ( 0, 1.0, 1.0)
},
'px4' : {
'MANUAL' : (1.0, 0, 0),
'SEATBELT' : ( 0.5, 0.5, 0),
'EASY' : ( 0, 1.0, 0),
'AUTO' : ( 0, 0, 1.0),
'UNKNOWN' : ( 1.0, 1.0, 1.0)
}
}
edge_colour = (0.1, 0.1, 0.1)
lowest_x = None
highest_x = None
def plotit(x, y, fields, colors=[]):
'''plot a set of graphs using date for x axis'''
global lowest_x, highest_x
pylab.ion()
fig = pylab.figure(num=1, figsize=(12,6))
ax1 = fig.gca()
ax2 = None
xrange = 0.0
for i in range(0, len(fields)):
if len(x[i]) == 0: continue
if lowest_x is None or x[i][0] < lowest_x:
lowest_x = x[i][0]
if highest_x is None or x[i][-1] > highest_x:
highest_x = x[i][-1]
if highest_x is None or lowest_x is None:
return
xrange = highest_x - lowest_x
xrange *= 24 * 60 * 60
formatter = matplotlib.dates.DateFormatter('%H:%M:%S')
interval = 1
intervals = [ 1, 2, 5, 10, 15, 30, 60, 120, 240, 300, 600,
900, 1800, 3600, 7200, 5*3600, 10*3600, 24*3600 ]
for interval in intervals:
if xrange / interval < 15:
break
locator = matplotlib.dates.SecondLocator(interval=interval)
if not args.xaxis:
ax1.xaxis.set_major_locator(locator)
ax1.xaxis.set_major_formatter(formatter)
empty = True
ax1_labels = []
ax2_labels = []
for i in range(0, len(fields)):
if len(x[i]) == 0:
print("Failed to find any values for field %s" % fields[i])
continue
if i < len(colors):
color = colors[i]
else:
color = 'red'
(tz, tzdst) = time.tzname
if axes[i] == 2:
if ax2 == None:
ax2 = ax1.twinx()
ax = ax2
if not args.xaxis:
ax2.xaxis.set_major_locator(locator)
ax2.xaxis.set_major_formatter(formatter)
label = fields[i]
if label.endswith(":2"):
label = label[:-2]
ax2_labels.append(label)
else:
ax1_labels.append(fields[i])
ax = ax1
if args.xaxis:
if args.marker is not None:
marker = args.marker
else:
marker = '+'
if args.linestyle is not None:
linestyle = args.linestyle
else:
linestyle = 'None'
ax.plot(x[i], y[i], color=color, label=fields[i],
linestyle=linestyle, marker=marker)
else:
if args.marker is not None:
marker = args.marker
else:
marker = 'None'
if args.linestyle is not None:
linestyle = args.linestyle
else:
linestyle = '-'
ax.plot_date(x[i], y[i], color=color, label=fields[i],
linestyle=linestyle, marker=marker, tz=None)
empty = False
if args.flightmode is not None:
for i in range(len(modes)-1):
c = colourmap[args.flightmode].get(modes[i][1], edge_colour)
ax1.axvspan(modes[i][0], modes[i+1][0], fc=c, ec=edge_colour, alpha=0.1)
c = colourmap[args.flightmode].get(modes[-1][1], edge_colour)
ax1.axvspan(modes[-1][0], ax1.get_xlim()[1], fc=c, ec=edge_colour, alpha=0.1)
if ax1_labels != []:
ax1.legend(ax1_labels,loc=args.legend)
if ax2_labels != []:
ax2.legend(ax2_labels,loc=args.legend2)
if empty:
print("No data to graph")
return
from argparse import ArgumentParser
parser = ArgumentParser(description=__doc__)
parser.add_argument("--no-timestamps", dest="notimestamps", action='store_true', help="Log doesn't have timestamps")
parser.add_argument("--planner", action='store_true', help="use planner file format")
parser.add_argument("--condition", default=None, help="select packets by a condition")
parser.add_argument("--labels", default=None, help="comma separated field labels")
parser.add_argument("--legend", default='upper left', help="default legend position")
parser.add_argument("--legend2", default='upper right', help="default legend2 position")
parser.add_argument("--marker", default=None, help="point marker")
parser.add_argument("--linestyle", default=None, help="line style")
parser.add_argument("--xaxis", default=None, help="X axis expression")
parser.add_argument("--multi", action='store_true', help="multiple files with same colours")
parser.add_argument("--zero-time-base", action='store_true', help="use Z time base for DF logs")
parser.add_argument("--flightmode", default=None,
help="Choose the plot background according to the active flight mode of the specified type, e.g. --flightmode=apm for ArduPilot or --flightmode=px4 for PX4 stack logs. Cannot be specified with --xaxis.")
parser.add_argument("--dialect", default="ardupilotmega", help="MAVLink dialect")
parser.add_argument("--output", default=None, help="provide an output format")
parser.add_argument("logs_fields", metavar="<LOG or FIELD>", nargs="+")
args = parser.parse_args()
from pymavlink import mavutil
if args.flightmode is not None and args.xaxis:
print("Cannot request flightmode backgrounds with an x-axis expression")
sys.exit(1)
if args.flightmode is not None and args.flightmode not in colourmap:
print("Unknown flight controller '%s' in specification of --flightmode" % args.flightmode)
sys.exit(1)
if args.output is not None:
matplotlib.use('Agg')
import pylab
filenames = []
fields = []
for f in args.logs_fields:
if os.path.exists(f):
filenames.append(f)
else:
fields.append(f)
msg_types = set()
multiplier = []
field_types = []
colors = [ 'red', 'green', 'blue', 'orange', 'olive', 'black', 'grey', 'yellow', 'brown', 'darkcyan', 'cornflowerblue', 'darkmagenta', 'deeppink', 'darkred']
# work out msg types we are interested in
x = []
y = []
modes = []
axes = []
first_only = []
re_caps = re.compile('[A-Z_][A-Z0-9_]+')
for f in fields:
caps = set(re.findall(re_caps, f))
msg_types = msg_types.union(caps)
field_types.append(caps)
y.append([])
x.append([])
axes.append(1)
first_only.append(False)
def add_data(t, msg, vars, flightmode):
'''add some data'''
mtype = msg.get_type()
if args.flightmode is not None and (len(modes) == 0 or modes[-1][1] != flightmode):
modes.append((t, flightmode))
if mtype not in msg_types:
return
for i in range(0, len(fields)):
if mtype not in field_types[i]:
continue
f = fields[i]
if f.endswith(":2"):
axes[i] = 2
f = f[:-2]
if f.endswith(":1"):
first_only[i] = True
f = f[:-2]
v = mavutil.evaluate_expression(f, vars)
if v is None:
continue
if args.xaxis is None:
xv = t
else:
xv = mavutil.evaluate_expression(args.xaxis, vars)
if xv is None:
continue
y[i].append(v)
x[i].append(xv)
def process_file(filename):
'''process one file'''
print("Processing %s" % filename)
mlog = mavutil.mavlink_connection(filename, notimestamps=args.notimestamps, zero_time_base=args.zero_time_base, dialect=args.dialect)
vars = {}
while True:
msg = mlog.recv_match(args.condition)
if msg is None: break
tdays = matplotlib.dates.date2num(datetime.datetime.fromtimestamp(msg._timestamp))
add_data(tdays, msg, mlog.messages, mlog.flightmode)
if len(filenames) == 0:
print("No files to process")
sys.exit(1)
if args.labels is not None:
labels = args.labels.split(',')
if len(labels) != len(fields)*len(filenames):
print("Number of labels (%u) must match number of fields (%u)" % (
len(labels), len(fields)*len(filenames)))
sys.exit(1)
else:
labels = None
for fi in range(0, len(filenames)):
f = filenames[fi]
process_file(f)
for i in range(0, len(x)):
if first_only[i] and fi != 0:
x[i] = []
y[i] = []
if labels:
lab = labels[fi*len(fields):(fi+1)*len(fields)]
else:
lab = fields[:]
if args.multi:
col = colors[:]
else:
col = colors[fi*len(fields):]
plotit(x, y, lab, colors=col)
for i in range(0, len(x)):
x[i] = []
y[i] = []
if args.output is None:
pylab.show()
pylab.draw()
input('press enter to exit....')
else:
pylab.legend(loc=2,prop={'size':8})
pylab.savefig(args.output, bbox_inches='tight', dpi=200)
| lgpl-3.0 |
elivre/arfe | e2018/SCRIPTS/010-rede2018_candidaturas.py | 1 | 16410 | #!/usr/bin/env python
# coding: utf-8
# # 010-candidaturas
# In[ ]:
ano_eleicao = '2018'
dbschema = f'rede{ano_eleicao}'
table_candidaturas = f"{dbschema}.candidaturas_{ano_eleicao}"
table_consulta_cand = f"tse{ano_eleicao}.consulta_cand_{ano_eleicao}"
table_despesas_candidatos = f"tse{ano_eleicao}.despesas_contratadas_candidatos_{ano_eleicao}"
table_receitas_candidatos = f"tse{ano_eleicao}.receitas_candidatos_{ano_eleicao}"
table_votacao_candidato_munzona = f"tse{ano_eleicao}.votacao_candidato_munzona_{ano_eleicao}"
# In[2]:
import os
import sys
sys.path.append('../')
import mod_tse as mtse
home = os.environ["HOME"]
# ## TABELA CANDIDATURAS
# In[3]:
query_create_table_candidaturas = F"""
drop table if exists {table_candidaturas} cascade;
-- Atributos obtidos da tabela do TSE consulta_cand
create table {table_candidaturas}
(
ano_eleicao varchar,
cd_tipo_eleicao varchar,
cd_eleicao varchar,
nr_turno varchar,
tp_abrangencia varchar,
sg_uf varchar,
sg_ue varchar,
nm_ue varchar,
--------------------------------------
ds_cargo varchar,
sq_candidato varchar,
nr_candidato varchar,
nm_candidato varchar,
nm_urna_candidato varchar,
nr_cpf_candidato varchar,
ds_situacao_candidatura varchar,
ds_detalhe_situacao_cand varchar,
tp_agremiacao varchar,
nr_partido varchar,
sg_partido varchar,
nm_partido varchar,
nm_coligacao varchar,
ds_composicao_coligacao varchar,
ds_nacionalidade varchar,
sg_uf_nascimento varchar,
nm_municipio_nascimento varchar,
dt_nascimento varchar,
nr_idade_data_posse varchar,
ds_genero varchar,
ds_grau_instrucao varchar,
ds_estado_civil varchar,
ds_cor_raca varchar,
cd_ocupacao varchar,
ds_ocupacao varchar,
nr_despesa_max_campanha numeric(18,2),
ds_sit_tot_turno varchar,
st_reeleicao varchar,
st_declarar_bens varchar,
---------------------------------------------
candidato_id varchar,
candidato_label varchar,
candidato_titular_apto varchar,
candidatura_id varchar,
candidatura_nome varchar,
candidatura_label varchar,
---------------------------------------------
total_votos_turno_1 numeric,
total_votos_turno_2 numeric,
total_votos numeric,
---------------------------------------------
nr_cnpj_prestador_conta varchar,
declarou_receita varchar,
receita_total numeric(18,2),
declarou_despesa varchar,
despesa_total numeric(18,2),
custo_voto numeric(18,2),
tse_id varchar
);
CREATE INDEX ON {table_candidaturas} (candidato_id);
CREATE INDEX ON {table_candidaturas} (candidatura_id);
CREATE INDEX ON {table_candidaturas} (nm_candidato);
CREATE INDEX ON {table_candidaturas} (candidato_label);
CREATE INDEX ON {table_candidaturas} (candidatura_label);
CREATE INDEX ON {table_candidaturas} (nm_urna_candidato);
CREATE INDEX IF NOT EXISTS sq_candidato_idx ON {table_candidaturas} ( sq_candidato );
"""
mtse.execute_query(query_create_table_candidaturas)
# ## Insere os dados de consulta_cand
# In[4]:
def query_insert_candidaturas(cd_tipo_eleicao, nr_turno):
query = f"""
INSERT INTO {table_candidaturas}
(SELECT
ano_eleicao as ano_eleicao,
cd_tipo_eleicao as cd_tipo_eleicao,
cd_eleicao as cd_eleicao,
nr_turno as nr_turno,
tp_abrangencia as tp_abrangencia,
sg_uf as sg_uf,
sg_ue as sg_ue,
nm_ue as nm_ue,
ds_cargo as ds_cargo,
sq_candidato as sq_candidato,
nr_candidato as nr_candidato,
upper(nm_candidato) as nm_candidato,
nm_urna_candidato as nm_urna_candidato,
nr_cpf_candidato as nr_cpf_candidato,
ds_situacao_candidatura as ds_situacao_candidatura,
ds_detalhe_situacao_cand as ds_detalhe_situacao_cand,
tp_agremiacao as tp_agremiacao,
nr_partido as nr_partido,
sg_partido as sg_partido,
nm_partido as nm_partido,
nm_coligacao as nm_coligacao,
ds_composicao_coligacao as ds_composicao_coligacao,
ds_nacionalidade as ds_nacionalidade,
sg_uf_nascimento as sg_uf_nascimento,
nm_municipio_nascimento as nm_municipio_nascimento,
dt_nascimento as dt_nascimento,
nr_idade_data_posse as nr_idade_data_posse,
ds_genero as ds_genero,
ds_grau_instrucao as ds_grau_instrucao,
ds_estado_civil as ds_estado_civil,
ds_cor_raca as ds_cor_raca,
cd_ocupacao as cd_ocupacao,
ds_ocupacao as ds_ocupacao,
nr_despesa_max_campanha::numeric(18,2) as nr_despesa_max_campanha,
ds_sit_tot_turno as ds_sit_tot_turno,
st_reeleicao as st_reeleicao,
st_declarar_bens as st_declarar_bens,
---------------------------------------------
get_candidato_id(nr_cpf_candidato) as candidato_id,
get_candidato_label(nm_urna_candidato,ds_cargo,sg_uf,sg_partido) as candidato_label,
public.eh_candidato_titular_apto(ds_cargo,ds_situacao_candidatura) as candidato_titular_apto,
get_candidatura_id(sg_uf,nr_candidato) as candidatura_id,
'' as candidatura_nome,
'' as candidatura_label,
--------------------------------------------
0 as total_votos_turno_1,
0 as total_votos_turno_2,
0 as total_votos,
--------------------------------------------
'' as nr_cnpj_prestador_conta,
'N' as declarou_receita,
0 as receita_total,
'N' as declarou_despesa,
0 as despesa_total,
0 as custo_voto,
get_tse_id(sq_candidato) as tse_id
from
{table_consulta_cand} as c
where
c.cd_tipo_eleicao = '{cd_tipo_eleicao}'
and c.nr_turno = '{nr_turno}'
and get_candidato_id(c.nr_cpf_candidato)||ds_cargo not in (select candidato_id||ds_cargo from {table_candidaturas})
)
;
"""
mtse.execute_query(query)
# In[5]:
query_insert_candidaturas('2','2')
# In[6]:
query_insert_candidaturas('2','1')
# ### ATUALIZA DADOS 2. TURNO
# In[7]:
q = f"""
update {table_candidaturas} c
set ds_sit_tot_turno = cc.ds_sit_tot_turno,
nr_turno = '2'
from (
select nr_turno,sq_candidato, ds_sit_tot_turno from {table_consulta_cand}
where nr_turno = '2'
) as cc
where
c.sq_candidato = cc.sq_candidato
;
update {table_candidaturas} c
set ds_sit_tot_turno = 'NÃO ELEITO'
where
ds_sit_tot_turno = '#NULO#'
"""
mtse.execute_query(q)
# ### GERA TOTAL RECEITAS A PARTIR DA DECLARAÇÃO DE RECEITAS
# In[8]:
query_update_cnpj_a_partir_receitas = f"""
with receitas_candidatos as
(
SELECT
sq_candidato,
nr_cnpj_prestador_conta,
round(sum(vr_receita),2) as receita_total,
get_tse_id(sq_candidato) as tse_id
FROM
{table_receitas_candidatos}
group by
sq_candidato,
nr_cnpj_prestador_conta,
tse_id
)
update {table_candidaturas} as c
set nr_cnpj_prestador_conta = r.nr_cnpj_prestador_conta,
declarou_receita = 'S',
receita_total = r.receita_total
from
receitas_candidatos as r
where
c.tse_id = r.tse_id
;
"""
mtse.execute_query(query_update_cnpj_a_partir_receitas)
# ### GERA TOTAL DESPESAS A PARTIR DA DECLARAÇÃO DE DESPESAS
# In[9]:
query_update_cnpj_a_partir_despesas = f"""
with despesas_candidatos as
(
SELECT
sq_candidato,
nr_cnpj_prestador_conta,
round(sum(vr_despesa_contratada),2) as despesa_total,
get_tse_id(sq_candidato) as tse_id
FROM
{table_despesas_candidatos}
group by
sq_candidato,
nr_cnpj_prestador_conta,
tse_id
)
update {table_candidaturas} as c
set nr_cnpj_prestador_conta = d.nr_cnpj_prestador_conta,
declarou_despesa = 'S',
despesa_total = d.despesa_total
from
despesas_candidatos as d
where
c.tse_id = d.tse_id
;
"""
mtse.execute_query(query_update_cnpj_a_partir_despesas)
# ### Gera total votos turno 1
# In[10]:
query_atualiza_total_votos_turno_1 = f"""
with votos_turno_1 as
(
select
get_tse_id(sq_candidato) as tse_id,
sum(qt_votos_nominais::numeric) as total_votos
from
{table_votacao_candidato_munzona}
where
nr_turno = '1'
group by
tse_id
)
update {table_candidaturas} as c
set
total_votos_turno_1 = v1.total_votos,
total_votos = v1.total_votos
from
votos_turno_1 as v1
where
c.tse_id = v1.tse_id
;
"""
mtse.execute_query(query_atualiza_total_votos_turno_1)
# ### Gera total votos turno 2
# In[11]:
query_atualiza_total_votos_turno_2 = f"""
with votos_turno_2 as
(
select
get_tse_id(sq_candidato) as tse_id,
sum(qt_votos_nominais::numeric) as total_votos
from
{table_votacao_candidato_munzona} as v2
where
nr_turno = '2'
group by
tse_id
)
update {table_candidaturas} as c
set
total_votos_turno_2 = v2.total_votos,
total_votos = v2.total_votos
from
votos_turno_2 as v2
where
c.tse_id = v2.tse_id
;
"""
mtse.execute_query(query_atualiza_total_votos_turno_2)
# ### Cálculo Custo do Voto
# In[12]:
query_calcula_custo_voto = f"""
update {table_candidaturas}
set custo_voto = case when total_votos > 0 then round(receita_total / total_votos,2) else 0 end
"""
mtse.execute_query(query_calcula_custo_voto)
# ### Verifica Candidatos com mais de um registro
# In[13]:
mtse.pandas_query(f"""
select candidato_id, q
from (select candidato_id, count(*) as q from {table_candidaturas}
group by candidato_id) t
where q>1
order by q desc
;
"""
)
# ## Muda o id do registro mais antigo de candidato com mais de um registro
# ### exclui candidato_id mais antigo quando dois registros para o mesmo candidato
# def exclui_duplo_id():
# p=mtse.pandas_query(f"""
# select candidato_id, tse_id from {table_candidaturas}
# where candidato_id in(
# select candidato_id
# from (select candidato_id, count(*) as q from {table_candidaturas}
# group by candidato_id) t
# where q>1
# )
# order by candidato_id, tse_id
# ;
# """
# )
# p2=p[['candidato_id','tse_id']]
# n = p2['candidato_id'].size
# l=[]
# for i in range(0,n,2):
# l.append(p2.iloc[i]['tse_id'])
# l= "'"+"', '".join(l)+"'"
#
# mtse.execute_query(f"""
# update {table_candidaturas}
# set candidato_id =
# case
# when candidato_id = 'CD000000000-4' then 'CD'||tse_id
# else candidato_id||'-I'
# end
# where tse_id in ({l})
# """
# )
# return(n)
#
# while True:
# n=exclui_duplo_id()
# if n==0:
# break
# ### Verifica o resultado
# In[14]:
mtse.pandas_query(f"""
select candidato_id, tse_id from {table_candidaturas}
where candidato_id in(
select candidato_id
from (select candidato_id, count(*) as q from {table_candidaturas}
group by candidato_id) t
where q>1
)
order by candidato_id, tse_id
;
"""
)
# In[15]:
mtse.pandas_query(f"""
select nr_cpf_candidato, candidato_id, tse_id from {table_candidaturas}
where nr_cpf_candidato in(
select nr_cpf_candidato
from (select nr_cpf_candidato, count(*) as q from {table_candidaturas}
group by nr_cpf_candidato) t
where q>1
)
order by candidato_id, tse_id
;
"""
)
# ### ESTABELECE NOME E LABEL PARA TODOS OS CANDIDATOS DA MESMA CANDIDATURA (candidatura_id)
# In[16]:
query_update_candidatura_nome_label = f"""
with titulares as
(
select * from {table_candidaturas} c
where eh_candidato_titular(ds_cargo) = 'S'
)
update {table_candidaturas} as c
set candidatura_label = get_candidatura_label(t.nm_urna_candidato , t.ds_cargo , t.sg_uf , t.sg_partido ),
candidatura_nome = get_candidatura_nome(t.nm_candidato, t.ds_cargo, t.sg_uf, t.sg_partido)
from titulares as t
where
c.candidatura_id = t.candidatura_id
;
"""
mtse.execute_query(query_update_candidatura_nome_label)
# In[ ]:
# In[17]:
mtse.pandas_query(f"""
--select candidato_titular_apto, candidatura_id, q from {table_candidaturas}
--where candidato_titular_apto||candidatura_id in(
select c, q
from (select candidato_titular_apto||candidatura_id c , count(*) as q from {table_candidaturas}
where candidato_titular_apto = 'S'
group by candidato_titular_apto||candidatura_id ) t
where q>1
-- )
-- order by candidato_id, tse_id
;
"""
)
# In[18]:
mtse.pandas_query(f"""
select candidatura_id, tse_id from {table_candidaturas}
where candidatura_id in(
select candidatura_id
from (
select candidatura_id, count(*) as q from {table_candidaturas}
--where candidato_titular_apto = 'S'
group by candidatura_id
) t
where q>1
)
order by candidatura_id, tse_id
;
"""
)
# In[19]:
import pandas as pd
df_candidaturas_2018=mtse.pandas_query(f""" select sg_uf, ds_cargo, count(*) as qtd from {table_candidaturas}
group by sg_uf, ds_cargo
order by sg_uf, ds_cargo
""")
#df_candidaturas_2018.to_excel('df_candidaturas_2018.xlsx')
df_candidaturas_2018[['sg_uf','ds_cargo']]
# In[20]:
import datetime
print(datetime.datetime.now())
# In[ ]:
| mit |
sumspr/scikit-learn | sklearn/datasets/tests/test_20news.py | 280 | 3045 | """Test the 20news downloader, if the data is available."""
import numpy as np
import scipy.sparse as sp
from sklearn.utils.testing import assert_equal
from sklearn.utils.testing import assert_true
from sklearn.utils.testing import SkipTest
from sklearn import datasets
def test_20news():
try:
data = datasets.fetch_20newsgroups(
subset='all', download_if_missing=False, shuffle=False)
except IOError:
raise SkipTest("Download 20 newsgroups to run this test")
# Extract a reduced dataset
data2cats = datasets.fetch_20newsgroups(
subset='all', categories=data.target_names[-1:-3:-1], shuffle=False)
# Check that the ordering of the target_names is the same
# as the ordering in the full dataset
assert_equal(data2cats.target_names,
data.target_names[-2:])
# Assert that we have only 0 and 1 as labels
assert_equal(np.unique(data2cats.target).tolist(), [0, 1])
# Check that the number of filenames is consistent with data/target
assert_equal(len(data2cats.filenames), len(data2cats.target))
assert_equal(len(data2cats.filenames), len(data2cats.data))
# Check that the first entry of the reduced dataset corresponds to
# the first entry of the corresponding category in the full dataset
entry1 = data2cats.data[0]
category = data2cats.target_names[data2cats.target[0]]
label = data.target_names.index(category)
entry2 = data.data[np.where(data.target == label)[0][0]]
assert_equal(entry1, entry2)
def test_20news_length_consistency():
"""Checks the length consistencies within the bunch
This is a non-regression test for a bug present in 0.16.1.
"""
try:
data = datasets.fetch_20newsgroups(
subset='all', download_if_missing=False, shuffle=False)
except IOError:
raise SkipTest("Download 20 newsgroups to run this test")
# Extract the full dataset
data = datasets.fetch_20newsgroups(subset='all')
assert_equal(len(data['data']), len(data.data))
assert_equal(len(data['target']), len(data.target))
assert_equal(len(data['filenames']), len(data.filenames))
def test_20news_vectorized():
# This test is slow.
raise SkipTest("Test too slow.")
bunch = datasets.fetch_20newsgroups_vectorized(subset="train")
assert_true(sp.isspmatrix_csr(bunch.data))
assert_equal(bunch.data.shape, (11314, 107428))
assert_equal(bunch.target.shape[0], 11314)
assert_equal(bunch.data.dtype, np.float64)
bunch = datasets.fetch_20newsgroups_vectorized(subset="test")
assert_true(sp.isspmatrix_csr(bunch.data))
assert_equal(bunch.data.shape, (7532, 107428))
assert_equal(bunch.target.shape[0], 7532)
assert_equal(bunch.data.dtype, np.float64)
bunch = datasets.fetch_20newsgroups_vectorized(subset="all")
assert_true(sp.isspmatrix_csr(bunch.data))
assert_equal(bunch.data.shape, (11314 + 7532, 107428))
assert_equal(bunch.target.shape[0], 11314 + 7532)
assert_equal(bunch.data.dtype, np.float64)
| bsd-3-clause |
pan-webis-de/glad | evaluation.py | 3 | 3982 | # -*- coding: utf-8 -*-
import argparse
import csv
import warnings
import sklearn.metrics
def calculateAnswers(truth_dict, answers_dict, misclass_file=None):
correct = 0
incorrect = 0
unanswered = 0
if misclass_file is not None:
misclass = open(misclass_file, "w")
for problem in answers_dict.keys():
truth = truth_dict[problem]
answer = answers_dict[problem]
if truth == "Y" and float(answer) > 0.5:
correct += 1
elif truth == "N" and float(answer) < 0.5:
correct += 1
elif float(answer) == 0.5:
unanswered += 1
else:
incorrect += 1
if misclass_file is not None:
misclass.write(problem + "\n")
return correct, incorrect, unanswered
def calculateScore(correct, unanswered, numberOfProblems, truth_dict, answers_dict):
score = (1 / numberOfProblems) * (correct + (unanswered * (correct / numberOfProblems)))
l_true = []
l_answers = []
for problem in answers_dict.keys():
truth = truth_dict[problem]
answer = answers_dict[problem]
if truth == "Y":
l_true.append(1)
elif truth == "N":
l_true.append(0)
l_answers.append(float(answer))
aucScore = sklearn.metrics.roc_auc_score(l_true, l_answers)
return round(score, 3), round(aucScore, 3)
def _read_file_to_dict(path):
"""
Load the problems and the corresponding labels from the *.txt file.
:param path: The full path to the file to read
:return: The dictionary with the problem names as keys and the true class labels as values
"""
label_dict = {}
with open(path, 'r', encoding='utf-8-sig') as truth_file:
truth = csv.reader(truth_file, delimiter=' ')
for problem in truth:
label_dict[problem[0]] = problem[1]
return label_dict
def main(truth_file, answers_file, misclass_file=None):
truth_dict = _read_file_to_dict(truth_file)
answers_dict = _read_file_to_dict(answers_file)
if truth_dict.keys() != answers_dict.keys():
warnings.warn("Apparently there are different problem instances in the truth file and the answers file!")
if misclass_file is not None:
correct, incorrect, unanswered = calculateAnswers(truth_dict, answers_dict, misclass_file)
else:
correct, incorrect, unanswered = calculateAnswers(truth_dict, answers_dict)
number_of_problems = correct + incorrect + unanswered
score, aucScore = calculateScore(correct, unanswered, number_of_problems, truth_dict, answers_dict)
combined_score = score * aucScore
print(u"The number of problems: {0:d}".format(number_of_problems))
print(u"The number of correct answers: {0:d}".format(correct))
print(u"The number of incorrect answers: {0:d}".format(incorrect))
print(u"The number of unanswered problems: {0:d}".format(unanswered))
print(u"The c@1 score: {0:f}".format(score))
print(u"The AUC: {0:f}".format(aucScore))
print(u"The combined score of c@1*AUC: {0:f}".format(combined_score))
return combined_score
if __name__ == "__main__":
parser = argparse.ArgumentParser(description="Calculate the PAN scores.")
parser.add_argument("-a", "--answers", default="./answers.txt", metavar='PATH', dest='answers_file',
help="Use a specified file to get the answers. (Default: ./answers,txt)")
parser.add_argument("-t", "--truth", default="./truth.txt", metavar='PATH', dest='truth_file',
help="Use a specified file to get the truth labels. (Default: ./truth,txt)")
parser.add_argument("-m", "--misclassified", default="./misclassified.txt", metavar='PATH', dest='misclass_file',
help="Use a specified file to write misclassified instances. (Default: ./misclassified.txt)")
args = parser.parse_args()
main(args.truth_file, args.answers_file, args.misclass_file)
| gpl-2.0 |
TimoRoth/oggm | oggm/shop/cru.py | 2 | 16453 | import logging
import warnings
# External libs
import numpy as np
import pandas as pd
import xarray as xr
from scipy import stats
# Optional libs
try:
import salem
except ImportError:
pass
# Locals
from oggm import cfg
from oggm import utils
from oggm import entity_task
from oggm.exceptions import MassBalanceCalibrationError, InvalidParamsError
# Module logger
log = logging.getLogger(__name__)
CRU_SERVER = ('https://crudata.uea.ac.uk/cru/data/hrg/cru_ts_4.04/'
'cruts.2004151855.v4.04/')
CRU_BASE = 'cru_ts4.04.1901.2019.{}.dat.nc'
CRU_CL = ('https://cluster.klima.uni-bremen.de/~oggm/climate/cru/'
'cru_cl2.nc.zip')
def set_cru_url(url):
"""If you want to use a different server for CRU (for testing, etc)."""
global CRU_SERVER
CRU_SERVER = url
@utils.locked_func
def get_cru_cl_file():
"""Returns the path to the unpacked CRU CL file."""
return utils.file_extractor(utils.file_downloader(CRU_CL))
@utils.locked_func
def get_cru_file(var=None):
"""Returns a path to the desired CRU baseline climate file.
If the file is not present, download it.
Parameters
----------
var : str
'tmp' for temperature
'pre' for precipitation
Returns
-------
str
path to the CRU file
"""
# Be sure input makes sense
if var not in ['tmp', 'pre']:
raise InvalidParamsError('CRU variable {} does not exist!'.format(var))
# Download
cru_filename = CRU_BASE.format(var)
cru_url = CRU_SERVER + '{}/'.format(var) + cru_filename + '.gz'
return utils.file_extractor(utils.file_downloader(cru_url))
@entity_task(log, writes=['climate_historical'])
def process_cru_data(gdir, tmp_file=None, pre_file=None, y0=None, y1=None,
output_filesuffix=None):
"""Processes and writes the CRU baseline climate data for this glacier.
Interpolates the CRU TS data to the high-resolution CL2 climatologies
(provided with OGGM) and writes everything to a NetCDF file.
Parameters
----------
gdir : :py:class:`oggm.GlacierDirectory`
the glacier directory to process
tmp_file : str
path to the CRU temperature file (defaults to the current OGGM chosen
CRU version)
pre_file : str
path to the CRU precip file (defaults to the current OGGM chosen
CRU version)
y0 : int
the starting year of the timeseries to write. The default is to take
the entire time period available in the file, but with this kwarg
you can shorten it (to save space or to crop bad data)
y1 : int
the starting year of the timeseries to write. The default is to take
the entire time period available in the file, but with this kwarg
you can shorten it (to save space or to crop bad data)
output_filesuffix : str
this add a suffix to the output file (useful to avoid overwriting
previous experiments)
"""
if cfg.PATHS.get('climate_file', None):
warnings.warn("You seem to have set a custom climate file for this "
"run, but are using the default CRU climate "
"file instead.")
if cfg.PARAMS['baseline_climate'] != 'CRU':
raise InvalidParamsError("cfg.PARAMS['baseline_climate'] should be "
"set to CRU")
# read the climatology
ncclim = salem.GeoNetcdf(get_cru_cl_file())
# and the TS data
if tmp_file is None:
tmp_file = get_cru_file('tmp')
if pre_file is None:
pre_file = get_cru_file('pre')
nc_ts_tmp = salem.GeoNetcdf(tmp_file, monthbegin=True)
nc_ts_pre = salem.GeoNetcdf(pre_file, monthbegin=True)
# set temporal subset for the ts data (hydro years)
sm = cfg.PARAMS['hydro_month_' + gdir.hemisphere]
em = sm - 1 if (sm > 1) else 12
yrs = nc_ts_pre.time.year
y0 = yrs[0] if y0 is None else y0
y1 = yrs[-1] if y1 is None else y1
nc_ts_tmp.set_period(t0='{}-{:02d}-01'.format(y0, sm),
t1='{}-{:02d}-01'.format(y1, em))
nc_ts_pre.set_period(t0='{}-{:02d}-01'.format(y0, sm),
t1='{}-{:02d}-01'.format(y1, em))
time = nc_ts_pre.time
ny, r = divmod(len(time), 12)
assert r == 0
lon = gdir.cenlon
lat = gdir.cenlat
# This is guaranteed to work because I prepared the file (I hope)
ncclim.set_subset(corners=((lon, lat), (lon, lat)), margin=1)
# get climatology data
loc_hgt = ncclim.get_vardata('elev')
loc_tmp = ncclim.get_vardata('temp')
loc_pre = ncclim.get_vardata('prcp')
loc_lon = ncclim.get_vardata('lon')
loc_lat = ncclim.get_vardata('lat')
# see if the center is ok
if not np.isfinite(loc_hgt[1, 1]):
# take another candidate where finite
isok = np.isfinite(loc_hgt)
# wait: some areas are entirely NaNs, make the subset larger
_margin = 1
while not np.any(isok):
_margin += 1
ncclim.set_subset(corners=((lon, lat), (lon, lat)), margin=_margin)
loc_hgt = ncclim.get_vardata('elev')
isok = np.isfinite(loc_hgt)
if _margin > 1:
log.debug('(%s) I had to look up for far climate pixels: %s',
gdir.rgi_id, _margin)
# Take the first candidate (doesn't matter which)
lon, lat = ncclim.grid.ll_coordinates
lon = lon[isok][0]
lat = lat[isok][0]
# Resubset
ncclim.set_subset()
ncclim.set_subset(corners=((lon, lat), (lon, lat)), margin=1)
loc_hgt = ncclim.get_vardata('elev')
loc_tmp = ncclim.get_vardata('temp')
loc_pre = ncclim.get_vardata('prcp')
loc_lon = ncclim.get_vardata('lon')
loc_lat = ncclim.get_vardata('lat')
assert np.isfinite(loc_hgt[1, 1])
isok = np.isfinite(loc_hgt)
hgt_f = loc_hgt[isok].flatten()
assert len(hgt_f) > 0.
# Should we compute the gradient?
use_grad = cfg.PARAMS['temp_use_local_gradient']
ts_grad = None
if use_grad and len(hgt_f) >= 5:
ts_grad = np.zeros(12) * np.NaN
for i in range(12):
loc_tmp_mth = loc_tmp[i, ...][isok].flatten()
slope, _, _, p_val, _ = stats.linregress(hgt_f, loc_tmp_mth)
ts_grad[i] = slope if (p_val < 0.01) else np.NaN
# convert to a timeseries and hydrological years
ts_grad = ts_grad.tolist()
ts_grad = ts_grad[em:] + ts_grad[0:em]
ts_grad = np.asarray(ts_grad * ny)
# maybe this will throw out of bounds warnings
nc_ts_tmp.set_subset(corners=((lon, lat), (lon, lat)), margin=1)
nc_ts_pre.set_subset(corners=((lon, lat), (lon, lat)), margin=1)
# compute monthly anomalies
# of temp
ts_tmp = nc_ts_tmp.get_vardata('tmp', as_xarray=True)
ts_tmp_avg = ts_tmp.sel(time=slice('1961-01-01', '1990-12-01'))
ts_tmp_avg = ts_tmp_avg.groupby('time.month').mean(dim='time')
ts_tmp = ts_tmp.groupby('time.month') - ts_tmp_avg
# of precip
ts_pre = nc_ts_pre.get_vardata('pre', as_xarray=True)
ts_pre_avg = ts_pre.sel(time=slice('1961-01-01', '1990-12-01'))
ts_pre_avg = ts_pre_avg.groupby('time.month').mean(dim='time')
ts_pre_ano = ts_pre.groupby('time.month') - ts_pre_avg
# scaled anomalies is the default. Standard anomalies above
# are used later for where ts_pre_avg == 0
ts_pre = ts_pre.groupby('time.month') / ts_pre_avg
# interpolate to HR grid
if np.any(~np.isfinite(ts_tmp[:, 1, 1])):
# Extreme case, middle pix is not valid
# take any valid pix from the 3*3 (and hope there's one)
found_it = False
for idi in range(2):
for idj in range(2):
if np.all(np.isfinite(ts_tmp[:, idj, idi])):
ts_tmp[:, 1, 1] = ts_tmp[:, idj, idi]
ts_pre[:, 1, 1] = ts_pre[:, idj, idi]
ts_pre_ano[:, 1, 1] = ts_pre_ano[:, idj, idi]
found_it = True
if not found_it:
msg = '({}) there is no climate data'.format(gdir.rgi_id)
raise MassBalanceCalibrationError(msg)
elif np.any(~np.isfinite(ts_tmp)):
# maybe the side is nan, but we can do nearest
ts_tmp = ncclim.grid.map_gridded_data(ts_tmp.values, nc_ts_tmp.grid,
interp='nearest')
ts_pre = ncclim.grid.map_gridded_data(ts_pre.values, nc_ts_pre.grid,
interp='nearest')
ts_pre_ano = ncclim.grid.map_gridded_data(ts_pre_ano.values,
nc_ts_pre.grid,
interp='nearest')
else:
# We can do bilinear
ts_tmp = ncclim.grid.map_gridded_data(ts_tmp.values, nc_ts_tmp.grid,
interp='linear')
ts_pre = ncclim.grid.map_gridded_data(ts_pre.values, nc_ts_pre.grid,
interp='linear')
ts_pre_ano = ncclim.grid.map_gridded_data(ts_pre_ano.values,
nc_ts_pre.grid,
interp='linear')
# take the center pixel and add it to the CRU CL clim
# for temp
loc_tmp = xr.DataArray(loc_tmp[:, 1, 1], dims=['month'],
coords={'month': ts_tmp_avg.month})
ts_tmp = xr.DataArray(ts_tmp[:, 1, 1], dims=['time'],
coords={'time': time})
ts_tmp = ts_tmp.groupby('time.month') + loc_tmp
# for prcp
loc_pre = xr.DataArray(loc_pre[:, 1, 1], dims=['month'],
coords={'month': ts_pre_avg.month})
ts_pre = xr.DataArray(ts_pre[:, 1, 1], dims=['time'],
coords={'time': time})
ts_pre_ano = xr.DataArray(ts_pre_ano[:, 1, 1], dims=['time'],
coords={'time': time})
# scaled anomalies
ts_pre = ts_pre.groupby('time.month') * loc_pre
# standard anomalies
ts_pre_ano = ts_pre_ano.groupby('time.month') + loc_pre
# Correct infinite values with standard anomalies
ts_pre.values = np.where(np.isfinite(ts_pre.values),
ts_pre.values,
ts_pre_ano.values)
# The last step might create negative values (unlikely). Clip them
ts_pre.values = utils.clip_min(ts_pre.values, 0)
# done
loc_hgt = loc_hgt[1, 1]
loc_lon = loc_lon[1]
loc_lat = loc_lat[1]
assert np.isfinite(loc_hgt)
assert np.all(np.isfinite(ts_pre.values))
assert np.all(np.isfinite(ts_tmp.values))
gdir.write_monthly_climate_file(time, ts_pre.values, ts_tmp.values,
loc_hgt, loc_lon, loc_lat,
filesuffix=output_filesuffix,
gradient=ts_grad,
source=nc_ts_tmp._nc.title[:10])
ncclim._nc.close()
nc_ts_tmp._nc.close()
nc_ts_pre._nc.close()
@entity_task(log, writes=['climate_historical'])
def process_dummy_cru_file(gdir, sigma_temp=2, sigma_prcp=0.5, seed=None,
y0=None, y1=None, output_filesuffix=None):
"""Create a simple baseline climate file for this glacier - for testing!
This simply reproduces the climatology with a little randomness in it.
TODO: extend the functionality by allowing a monthly varying sigma
Parameters
----------
gdir : GlacierDirectory
the glacier directory
sigma_temp : float
the standard deviation of the random timeseries (set to 0 for constant
ts)
sigma_prcp : float
the standard deviation of the random timeseries (set to 0 for constant
ts)
seed : int
the RandomState seed
y0 : int
the starting year of the timeseries to write. The default is to take
the entire time period available in the file, but with this kwarg
you can shorten it (to save space or to crop bad data)
y1 : int
the starting year of the timeseries to write. The default is to take
the entire time period available in the file, but with this kwarg
you can shorten it (to save space or to crop bad data)
output_filesuffix : str
this add a suffix to the output file (useful to avoid overwriting
previous experiments)
"""
# read the climatology
clfile = get_cru_cl_file()
ncclim = salem.GeoNetcdf(clfile)
# set temporal subset for the ts data (hydro years)
sm = cfg.PARAMS['hydro_month_' + gdir.hemisphere]
em = sm - 1 if (sm > 1) else 12
y0 = 1901 if y0 is None else y0
y1 = 2018 if y1 is None else y1
time = pd.date_range(start='{}-{:02d}-01'.format(y0, sm),
end='{}-{:02d}-01'.format(y1, em),
freq='MS')
ny, r = divmod(len(time), 12)
assert r == 0
lon = gdir.cenlon
lat = gdir.cenlat
# This is guaranteed to work because I prepared the file (I hope)
ncclim.set_subset(corners=((lon, lat), (lon, lat)), margin=1)
# get climatology data
loc_hgt = ncclim.get_vardata('elev')
loc_tmp = ncclim.get_vardata('temp')
loc_pre = ncclim.get_vardata('prcp')
loc_lon = ncclim.get_vardata('lon')
loc_lat = ncclim.get_vardata('lat')
# see if the center is ok
if not np.isfinite(loc_hgt[1, 1]):
# take another candidate where finite
isok = np.isfinite(loc_hgt)
# wait: some areas are entirely NaNs, make the subset larger
_margin = 1
while not np.any(isok):
_margin += 1
ncclim.set_subset(corners=((lon, lat), (lon, lat)), margin=_margin)
loc_hgt = ncclim.get_vardata('elev')
isok = np.isfinite(loc_hgt)
if _margin > 1:
log.debug('(%s) I had to look up for far climate pixels: %s',
gdir.rgi_id, _margin)
# Take the first candidate (doesn't matter which)
lon, lat = ncclim.grid.ll_coordinates
lon = lon[isok][0]
lat = lat[isok][0]
# Resubset
ncclim.set_subset()
ncclim.set_subset(corners=((lon, lat), (lon, lat)), margin=1)
loc_hgt = ncclim.get_vardata('elev')
loc_tmp = ncclim.get_vardata('temp')
loc_pre = ncclim.get_vardata('prcp')
loc_lon = ncclim.get_vardata('lon')
loc_lat = ncclim.get_vardata('lat')
assert np.isfinite(loc_hgt[1, 1])
isok = np.isfinite(loc_hgt)
hgt_f = loc_hgt[isok].flatten()
assert len(hgt_f) > 0.
# Should we compute the gradient?
use_grad = cfg.PARAMS['temp_use_local_gradient']
ts_grad = None
if use_grad and len(hgt_f) >= 5:
ts_grad = np.zeros(12) * np.NaN
for i in range(12):
loc_tmp_mth = loc_tmp[i, ...][isok].flatten()
slope, _, _, p_val, _ = stats.linregress(hgt_f, loc_tmp_mth)
ts_grad[i] = slope if (p_val < 0.01) else np.NaN
# convert to a timeseries and hydrological years
ts_grad = ts_grad.tolist()
ts_grad = ts_grad[em:] + ts_grad[0:em]
ts_grad = np.asarray(ts_grad * ny)
# Make DataArrays
rng = np.random.RandomState(seed)
loc_tmp = xr.DataArray(loc_tmp[:, 1, 1], dims=['month'],
coords={'month': np.arange(1, 13)})
ts_tmp = rng.randn(len(time)) * sigma_temp
ts_tmp = xr.DataArray(ts_tmp, dims=['time'],
coords={'time': time})
loc_pre = xr.DataArray(loc_pre[:, 1, 1], dims=['month'],
coords={'month': np.arange(1, 13)})
ts_pre = utils.clip_min(rng.randn(len(time)) * sigma_prcp + 1, 0)
ts_pre = xr.DataArray(ts_pre, dims=['time'],
coords={'time': time})
# Create the time series
ts_tmp = ts_tmp.groupby('time.month') + loc_tmp
ts_pre = ts_pre.groupby('time.month') * loc_pre
# done
loc_hgt = loc_hgt[1, 1]
loc_lon = loc_lon[1]
loc_lat = loc_lat[1]
assert np.isfinite(loc_hgt)
gdir.write_monthly_climate_file(time, ts_pre.values, ts_tmp.values,
loc_hgt, loc_lon, loc_lat,
gradient=ts_grad,
filesuffix=output_filesuffix,
source='CRU CL2 and some randomness')
ncclim._nc.close()
| bsd-3-clause |
mbalasso/mynumpy | numpy/linalg/linalg.py | 8 | 62911 | """Lite version of scipy.linalg.
Notes
-----
This module is a lite version of the linalg.py module in SciPy which
contains high-level Python interface to the LAPACK library. The lite
version only accesses the following LAPACK functions: dgesv, zgesv,
dgeev, zgeev, dgesdd, zgesdd, dgelsd, zgelsd, dsyevd, zheevd, dgetrf,
zgetrf, dpotrf, zpotrf, dgeqrf, zgeqrf, zungqr, dorgqr.
"""
__all__ = ['matrix_power', 'solve', 'tensorsolve', 'tensorinv', 'inv',
'cholesky', 'eigvals', 'eigvalsh', 'pinv', 'slogdet', 'det',
'svd', 'eig', 'eigh','lstsq', 'norm', 'qr', 'cond', 'matrix_rank',
'LinAlgError']
from numpy.core import array, asarray, zeros, empty, transpose, \
intc, single, double, csingle, cdouble, inexact, complexfloating, \
newaxis, ravel, all, Inf, dot, add, multiply, identity, sqrt, \
maximum, flatnonzero, diagonal, arange, fastCopyAndTranspose, sum, \
isfinite, size, finfo, absolute, log, exp
from numpy.lib import triu
from numpy.linalg import lapack_lite
from numpy.matrixlib.defmatrix import matrix_power
from numpy.compat import asbytes
# For Python2/3 compatibility
_N = asbytes('N')
_V = asbytes('V')
_A = asbytes('A')
_S = asbytes('S')
_L = asbytes('L')
fortran_int = intc
# Error object
class LinAlgError(Exception):
"""
Generic Python-exception-derived object raised by linalg functions.
General purpose exception class, derived from Python's exception.Exception
class, programmatically raised in linalg functions when a Linear
Algebra-related condition would prevent further correct execution of the
function.
Parameters
----------
None
Examples
--------
>>> from numpy import linalg as LA
>>> LA.inv(np.zeros((2,2)))
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "...linalg.py", line 350,
in inv return wrap(solve(a, identity(a.shape[0], dtype=a.dtype)))
File "...linalg.py", line 249,
in solve
raise LinAlgError('Singular matrix')
numpy.linalg.LinAlgError: Singular matrix
"""
pass
def _makearray(a):
new = asarray(a)
wrap = getattr(a, "__array_prepare__", new.__array_wrap__)
return new, wrap
def isComplexType(t):
return issubclass(t, complexfloating)
_real_types_map = {single : single,
double : double,
csingle : single,
cdouble : double}
_complex_types_map = {single : csingle,
double : cdouble,
csingle : csingle,
cdouble : cdouble}
def _realType(t, default=double):
return _real_types_map.get(t, default)
def _complexType(t, default=cdouble):
return _complex_types_map.get(t, default)
def _linalgRealType(t):
"""Cast the type t to either double or cdouble."""
return double
_complex_types_map = {single : csingle,
double : cdouble,
csingle : csingle,
cdouble : cdouble}
def _commonType(*arrays):
# in lite version, use higher precision (always double or cdouble)
result_type = single
is_complex = False
for a in arrays:
if issubclass(a.dtype.type, inexact):
if isComplexType(a.dtype.type):
is_complex = True
rt = _realType(a.dtype.type, default=None)
if rt is None:
# unsupported inexact scalar
raise TypeError("array type %s is unsupported in linalg" %
(a.dtype.name,))
else:
rt = double
if rt is double:
result_type = double
if is_complex:
t = cdouble
result_type = _complex_types_map[result_type]
else:
t = double
return t, result_type
# _fastCopyAndTranpose assumes the input is 2D (as all the calls in here are).
_fastCT = fastCopyAndTranspose
def _to_native_byte_order(*arrays):
ret = []
for arr in arrays:
if arr.dtype.byteorder not in ('=', '|'):
ret.append(asarray(arr, dtype=arr.dtype.newbyteorder('=')))
else:
ret.append(arr)
if len(ret) == 1:
return ret[0]
else:
return ret
def _fastCopyAndTranspose(type, *arrays):
cast_arrays = ()
for a in arrays:
if a.dtype.type is type:
cast_arrays = cast_arrays + (_fastCT(a),)
else:
cast_arrays = cast_arrays + (_fastCT(a.astype(type)),)
if len(cast_arrays) == 1:
return cast_arrays[0]
else:
return cast_arrays
def _assertRank2(*arrays):
for a in arrays:
if len(a.shape) != 2:
raise LinAlgError('%d-dimensional array given. Array must be '
'two-dimensional' % len(a.shape))
def _assertSquareness(*arrays):
for a in arrays:
if max(a.shape) != min(a.shape):
raise LinAlgError('Array must be square')
def _assertFinite(*arrays):
for a in arrays:
if not (isfinite(a).all()):
raise LinAlgError("Array must not contain infs or NaNs")
def _assertNonEmpty(*arrays):
for a in arrays:
if size(a) == 0:
raise LinAlgError("Arrays cannot be empty")
# Linear equations
def tensorsolve(a, b, axes=None):
"""
Solve the tensor equation ``a x = b`` for x.
It is assumed that all indices of `x` are summed over in the product,
together with the rightmost indices of `a`, as is done in, for example,
``tensordot(a, x, axes=len(b.shape))``.
Parameters
----------
a : array_like
Coefficient tensor, of shape ``b.shape + Q``. `Q`, a tuple, equals
the shape of that sub-tensor of `a` consisting of the appropriate
number of its rightmost indices, and must be such that
``prod(Q) == prod(b.shape)`` (in which sense `a` is said to be
'square').
b : array_like
Right-hand tensor, which can be of any shape.
axes : tuple of ints, optional
Axes in `a` to reorder to the right, before inversion.
If None (default), no reordering is done.
Returns
-------
x : ndarray, shape Q
Raises
------
LinAlgError
If `a` is singular or not 'square' (in the above sense).
See Also
--------
tensordot, tensorinv, einsum
Examples
--------
>>> a = np.eye(2*3*4)
>>> a.shape = (2*3, 4, 2, 3, 4)
>>> b = np.random.randn(2*3, 4)
>>> x = np.linalg.tensorsolve(a, b)
>>> x.shape
(2, 3, 4)
>>> np.allclose(np.tensordot(a, x, axes=3), b)
True
"""
a,wrap = _makearray(a)
b = asarray(b)
an = a.ndim
if axes is not None:
allaxes = range(0, an)
for k in axes:
allaxes.remove(k)
allaxes.insert(an, k)
a = a.transpose(allaxes)
oldshape = a.shape[-(an-b.ndim):]
prod = 1
for k in oldshape:
prod *= k
a = a.reshape(-1, prod)
b = b.ravel()
res = wrap(solve(a, b))
res.shape = oldshape
return res
def solve(a, b):
"""
Solve a linear matrix equation, or system of linear scalar equations.
Computes the "exact" solution, `x`, of the well-determined, i.e., full
rank, linear matrix equation `ax = b`.
Parameters
----------
a : (M, M) array_like
Coefficient matrix.
b : {(M,), (M, N)}, array_like
Ordinate or "dependent variable" values.
Returns
-------
x : {(M,), (M, N)} ndarray
Solution to the system a x = b. Returned shape is identical to `b`.
Raises
------
LinAlgError
If `a` is singular or not square.
Notes
-----
`solve` is a wrapper for the LAPACK routines `dgesv`_ and
`zgesv`_, the former being used if `a` is real-valued, the latter if
it is complex-valued. The solution to the system of linear equations
is computed using an LU decomposition [1]_ with partial pivoting and
row interchanges.
.. _dgesv: http://www.netlib.org/lapack/double/dgesv.f
.. _zgesv: http://www.netlib.org/lapack/complex16/zgesv.f
`a` must be square and of full-rank, i.e., all rows (or, equivalently,
columns) must be linearly independent; if either is not true, use
`lstsq` for the least-squares best "solution" of the
system/equation.
References
----------
.. [1] G. Strang, *Linear Algebra and Its Applications*, 2nd Ed., Orlando,
FL, Academic Press, Inc., 1980, pg. 22.
Examples
--------
Solve the system of equations ``3 * x0 + x1 = 9`` and ``x0 + 2 * x1 = 8``:
>>> a = np.array([[3,1], [1,2]])
>>> b = np.array([9,8])
>>> x = np.linalg.solve(a, b)
>>> x
array([ 2., 3.])
Check that the solution is correct:
>>> (np.dot(a, x) == b).all()
True
"""
a, _ = _makearray(a)
b, wrap = _makearray(b)
one_eq = len(b.shape) == 1
if one_eq:
b = b[:, newaxis]
_assertRank2(a, b)
_assertSquareness(a)
n_eq = a.shape[0]
n_rhs = b.shape[1]
if n_eq != b.shape[0]:
raise LinAlgError('Incompatible dimensions')
t, result_t = _commonType(a, b)
# lapack_routine = _findLapackRoutine('gesv', t)
if isComplexType(t):
lapack_routine = lapack_lite.zgesv
else:
lapack_routine = lapack_lite.dgesv
a, b = _fastCopyAndTranspose(t, a, b)
a, b = _to_native_byte_order(a, b)
pivots = zeros(n_eq, fortran_int)
results = lapack_routine(n_eq, n_rhs, a, n_eq, pivots, b, n_eq, 0)
if results['info'] > 0:
raise LinAlgError('Singular matrix')
if one_eq:
return wrap(b.ravel().astype(result_t))
else:
return wrap(b.transpose().astype(result_t))
def tensorinv(a, ind=2):
"""
Compute the 'inverse' of an N-dimensional array.
The result is an inverse for `a` relative to the tensordot operation
``tensordot(a, b, ind)``, i. e., up to floating-point accuracy,
``tensordot(tensorinv(a), a, ind)`` is the "identity" tensor for the
tensordot operation.
Parameters
----------
a : array_like
Tensor to 'invert'. Its shape must be 'square', i. e.,
``prod(a.shape[:ind]) == prod(a.shape[ind:])``.
ind : int, optional
Number of first indices that are involved in the inverse sum.
Must be a positive integer, default is 2.
Returns
-------
b : ndarray
`a`'s tensordot inverse, shape ``a.shape[:ind] + a.shape[ind:]``.
Raises
------
LinAlgError
If `a` is singular or not 'square' (in the above sense).
See Also
--------
tensordot, tensorsolve
Examples
--------
>>> a = np.eye(4*6)
>>> a.shape = (4, 6, 8, 3)
>>> ainv = np.linalg.tensorinv(a, ind=2)
>>> ainv.shape
(8, 3, 4, 6)
>>> b = np.random.randn(4, 6)
>>> np.allclose(np.tensordot(ainv, b), np.linalg.tensorsolve(a, b))
True
>>> a = np.eye(4*6)
>>> a.shape = (24, 8, 3)
>>> ainv = np.linalg.tensorinv(a, ind=1)
>>> ainv.shape
(8, 3, 24)
>>> b = np.random.randn(24)
>>> np.allclose(np.tensordot(ainv, b, 1), np.linalg.tensorsolve(a, b))
True
"""
a = asarray(a)
oldshape = a.shape
prod = 1
if ind > 0:
invshape = oldshape[ind:] + oldshape[:ind]
for k in oldshape[ind:]:
prod *= k
else:
raise ValueError("Invalid ind argument.")
a = a.reshape(prod, -1)
ia = inv(a)
return ia.reshape(*invshape)
# Matrix inversion
def inv(a):
"""
Compute the (multiplicative) inverse of a matrix.
Given a square matrix `a`, return the matrix `ainv` satisfying
``dot(a, ainv) = dot(ainv, a) = eye(a.shape[0])``.
Parameters
----------
a : (M, M) array_like
Matrix to be inverted.
Returns
-------
ainv : (M, M) ndarray or matrix
(Multiplicative) inverse of the matrix `a`.
Raises
------
LinAlgError
If `a` is singular or not square.
Examples
--------
>>> from numpy import linalg as LA
>>> a = np.array([[1., 2.], [3., 4.]])
>>> ainv = LA.inv(a)
>>> np.allclose(np.dot(a, ainv), np.eye(2))
True
>>> np.allclose(np.dot(ainv, a), np.eye(2))
True
If a is a matrix object, then the return value is a matrix as well:
>>> ainv = LA.inv(np.matrix(a))
>>> ainv
matrix([[-2. , 1. ],
[ 1.5, -0.5]])
"""
a, wrap = _makearray(a)
return wrap(solve(a, identity(a.shape[0], dtype=a.dtype)))
# Cholesky decomposition
def cholesky(a):
"""
Cholesky decomposition.
Return the Cholesky decomposition, `L * L.H`, of the square matrix `a`,
where `L` is lower-triangular and .H is the conjugate transpose operator
(which is the ordinary transpose if `a` is real-valued). `a` must be
Hermitian (symmetric if real-valued) and positive-definite. Only `L` is
actually returned.
Parameters
----------
a : (M, M) array_like
Hermitian (symmetric if all elements are real), positive-definite
input matrix.
Returns
-------
L : {(M, M) ndarray, (M, M) matrix}
Lower-triangular Cholesky factor of `a`. Returns a matrix object
if `a` is a matrix object.
Raises
------
LinAlgError
If the decomposition fails, for example, if `a` is not
positive-definite.
Notes
-----
The Cholesky decomposition is often used as a fast way of solving
.. math:: A \\mathbf{x} = \\mathbf{b}
(when `A` is both Hermitian/symmetric and positive-definite).
First, we solve for :math:`\\mathbf{y}` in
.. math:: L \\mathbf{y} = \\mathbf{b},
and then for :math:`\\mathbf{x}` in
.. math:: L.H \\mathbf{x} = \\mathbf{y}.
Examples
--------
>>> A = np.array([[1,-2j],[2j,5]])
>>> A
array([[ 1.+0.j, 0.-2.j],
[ 0.+2.j, 5.+0.j]])
>>> L = np.linalg.cholesky(A)
>>> L
array([[ 1.+0.j, 0.+0.j],
[ 0.+2.j, 1.+0.j]])
>>> np.dot(L, L.T.conj()) # verify that L * L.H = A
array([[ 1.+0.j, 0.-2.j],
[ 0.+2.j, 5.+0.j]])
>>> A = [[1,-2j],[2j,5]] # what happens if A is only array_like?
>>> np.linalg.cholesky(A) # an ndarray object is returned
array([[ 1.+0.j, 0.+0.j],
[ 0.+2.j, 1.+0.j]])
>>> # But a matrix object is returned if A is a matrix object
>>> LA.cholesky(np.matrix(A))
matrix([[ 1.+0.j, 0.+0.j],
[ 0.+2.j, 1.+0.j]])
"""
a, wrap = _makearray(a)
_assertRank2(a)
_assertSquareness(a)
t, result_t = _commonType(a)
a = _fastCopyAndTranspose(t, a)
a = _to_native_byte_order(a)
m = a.shape[0]
n = a.shape[1]
if isComplexType(t):
lapack_routine = lapack_lite.zpotrf
else:
lapack_routine = lapack_lite.dpotrf
results = lapack_routine(_L, n, a, m, 0)
if results['info'] > 0:
raise LinAlgError('Matrix is not positive definite - '
'Cholesky decomposition cannot be computed')
s = triu(a, k=0).transpose()
if (s.dtype != result_t):
s = s.astype(result_t)
return wrap(s)
# QR decompostion
def qr(a, mode='full'):
"""
Compute the qr factorization of a matrix.
Factor the matrix `a` as *qr*, where `q` is orthonormal and `r` is
upper-triangular.
Parameters
----------
a : array_like
Matrix to be factored, of shape (M, N).
mode : {'full', 'r', 'economic'}, optional
Specifies the values to be returned. 'full' is the default.
Economic mode is slightly faster then 'r' mode if only `r` is needed.
Returns
-------
q : ndarray of float or complex, optional
The orthonormal matrix, of shape (M, K). Only returned if
``mode='full'``.
r : ndarray of float or complex, optional
The upper-triangular matrix, of shape (K, N) with K = min(M, N).
Only returned when ``mode='full'`` or ``mode='r'``.
a2 : ndarray of float or complex, optional
Array of shape (M, N), only returned when ``mode='economic``'.
The diagonal and the upper triangle of `a2` contains `r`, while
the rest of the matrix is undefined.
Raises
------
LinAlgError
If factoring fails.
Notes
-----
This is an interface to the LAPACK routines dgeqrf, zgeqrf,
dorgqr, and zungqr.
For more information on the qr factorization, see for example:
http://en.wikipedia.org/wiki/QR_factorization
Subclasses of `ndarray` are preserved, so if `a` is of type `matrix`,
all the return values will be matrices too.
Examples
--------
>>> a = np.random.randn(9, 6)
>>> q, r = np.linalg.qr(a)
>>> np.allclose(a, np.dot(q, r)) # a does equal qr
True
>>> r2 = np.linalg.qr(a, mode='r')
>>> r3 = np.linalg.qr(a, mode='economic')
>>> np.allclose(r, r2) # mode='r' returns the same r as mode='full'
True
>>> # But only triu parts are guaranteed equal when mode='economic'
>>> np.allclose(r, np.triu(r3[:6,:6], k=0))
True
Example illustrating a common use of `qr`: solving of least squares
problems
What are the least-squares-best `m` and `y0` in ``y = y0 + mx`` for
the following data: {(0,1), (1,0), (1,2), (2,1)}. (Graph the points
and you'll see that it should be y0 = 0, m = 1.) The answer is provided
by solving the over-determined matrix equation ``Ax = b``, where::
A = array([[0, 1], [1, 1], [1, 1], [2, 1]])
x = array([[y0], [m]])
b = array([[1], [0], [2], [1]])
If A = qr such that q is orthonormal (which is always possible via
Gram-Schmidt), then ``x = inv(r) * (q.T) * b``. (In numpy practice,
however, we simply use `lstsq`.)
>>> A = np.array([[0, 1], [1, 1], [1, 1], [2, 1]])
>>> A
array([[0, 1],
[1, 1],
[1, 1],
[2, 1]])
>>> b = np.array([1, 0, 2, 1])
>>> q, r = LA.qr(A)
>>> p = np.dot(q.T, b)
>>> np.dot(LA.inv(r), p)
array([ 1.1e-16, 1.0e+00])
"""
a, wrap = _makearray(a)
_assertRank2(a)
_assertNonEmpty(a)
m, n = a.shape
t, result_t = _commonType(a)
a = _fastCopyAndTranspose(t, a)
a = _to_native_byte_order(a)
mn = min(m, n)
tau = zeros((mn,), t)
if isComplexType(t):
lapack_routine = lapack_lite.zgeqrf
routine_name = 'zgeqrf'
else:
lapack_routine = lapack_lite.dgeqrf
routine_name = 'dgeqrf'
# calculate optimal size of work data 'work'
lwork = 1
work = zeros((lwork,), t)
results = lapack_routine(m, n, a, m, tau, work, -1, 0)
if results['info'] != 0:
raise LinAlgError('%s returns %d' % (routine_name, results['info']))
# do qr decomposition
lwork = int(abs(work[0]))
work = zeros((lwork,), t)
results = lapack_routine(m, n, a, m, tau, work, lwork, 0)
if results['info'] != 0:
raise LinAlgError('%s returns %d' % (routine_name, results['info']))
# economic mode. Isn't actually economic.
if mode[0] == 'e':
if t != result_t :
a = a.astype(result_t)
return a.T
# generate r
r = _fastCopyAndTranspose(result_t, a[:,:mn])
for i in range(mn):
r[i,:i].fill(0.0)
# 'r'-mode, that is, calculate only r
if mode[0] == 'r':
return r
# from here on: build orthonormal matrix q from a
if isComplexType(t):
lapack_routine = lapack_lite.zungqr
routine_name = 'zungqr'
else:
lapack_routine = lapack_lite.dorgqr
routine_name = 'dorgqr'
# determine optimal lwork
lwork = 1
work = zeros((lwork,), t)
results = lapack_routine(m, mn, mn, a, m, tau, work, -1, 0)
if results['info'] != 0:
raise LinAlgError('%s returns %d' % (routine_name, results['info']))
# compute q
lwork = int(abs(work[0]))
work = zeros((lwork,), t)
results = lapack_routine(m, mn, mn, a, m, tau, work, lwork, 0)
if results['info'] != 0:
raise LinAlgError('%s returns %d' % (routine_name, results['info']))
q = _fastCopyAndTranspose(result_t, a[:mn,:])
return wrap(q), wrap(r)
# Eigenvalues
def eigvals(a):
"""
Compute the eigenvalues of a general matrix.
Main difference between `eigvals` and `eig`: the eigenvectors aren't
returned.
Parameters
----------
a : (M, M) array_like
A complex- or real-valued matrix whose eigenvalues will be computed.
Returns
-------
w : (M,) ndarray
The eigenvalues, each repeated according to its multiplicity.
They are not necessarily ordered, nor are they necessarily
real for real matrices.
Raises
------
LinAlgError
If the eigenvalue computation does not converge.
See Also
--------
eig : eigenvalues and right eigenvectors of general arrays
eigvalsh : eigenvalues of symmetric or Hermitian arrays.
eigh : eigenvalues and eigenvectors of symmetric/Hermitian arrays.
Notes
-----
This is a simple interface to the LAPACK routines dgeev and zgeev
that sets those routines' flags to return only the eigenvalues of
general real and complex arrays, respectively.
Examples
--------
Illustration, using the fact that the eigenvalues of a diagonal matrix
are its diagonal elements, that multiplying a matrix on the left
by an orthogonal matrix, `Q`, and on the right by `Q.T` (the transpose
of `Q`), preserves the eigenvalues of the "middle" matrix. In other words,
if `Q` is orthogonal, then ``Q * A * Q.T`` has the same eigenvalues as
``A``:
>>> from numpy import linalg as LA
>>> x = np.random.random()
>>> Q = np.array([[np.cos(x), -np.sin(x)], [np.sin(x), np.cos(x)]])
>>> LA.norm(Q[0, :]), LA.norm(Q[1, :]), np.dot(Q[0, :],Q[1, :])
(1.0, 1.0, 0.0)
Now multiply a diagonal matrix by Q on one side and by Q.T on the other:
>>> D = np.diag((-1,1))
>>> LA.eigvals(D)
array([-1., 1.])
>>> A = np.dot(Q, D)
>>> A = np.dot(A, Q.T)
>>> LA.eigvals(A)
array([ 1., -1.])
"""
a, wrap = _makearray(a)
_assertRank2(a)
_assertSquareness(a)
_assertFinite(a)
t, result_t = _commonType(a)
real_t = _linalgRealType(t)
a = _fastCopyAndTranspose(t, a)
a = _to_native_byte_order(a)
n = a.shape[0]
dummy = zeros((1,), t)
if isComplexType(t):
lapack_routine = lapack_lite.zgeev
w = zeros((n,), t)
rwork = zeros((n,), real_t)
lwork = 1
work = zeros((lwork,), t)
results = lapack_routine(_N, _N, n, a, n, w,
dummy, 1, dummy, 1, work, -1, rwork, 0)
lwork = int(abs(work[0]))
work = zeros((lwork,), t)
results = lapack_routine(_N, _N, n, a, n, w,
dummy, 1, dummy, 1, work, lwork, rwork, 0)
else:
lapack_routine = lapack_lite.dgeev
wr = zeros((n,), t)
wi = zeros((n,), t)
lwork = 1
work = zeros((lwork,), t)
results = lapack_routine(_N, _N, n, a, n, wr, wi,
dummy, 1, dummy, 1, work, -1, 0)
lwork = int(work[0])
work = zeros((lwork,), t)
results = lapack_routine(_N, _N, n, a, n, wr, wi,
dummy, 1, dummy, 1, work, lwork, 0)
if all(wi == 0.):
w = wr
result_t = _realType(result_t)
else:
w = wr+1j*wi
result_t = _complexType(result_t)
if results['info'] > 0:
raise LinAlgError('Eigenvalues did not converge')
return w.astype(result_t)
def eigvalsh(a, UPLO='L'):
"""
Compute the eigenvalues of a Hermitian or real symmetric matrix.
Main difference from eigh: the eigenvectors are not computed.
Parameters
----------
a : (M, M) array_like
A complex- or real-valued matrix whose eigenvalues are to be
computed.
UPLO : {'L', 'U'}, optional
Specifies whether the calculation is done with the lower triangular
part of `a` ('L', default) or the upper triangular part ('U').
Returns
-------
w : (M,) ndarray
The eigenvalues, not necessarily ordered, each repeated according to
its multiplicity.
Raises
------
LinAlgError
If the eigenvalue computation does not converge.
See Also
--------
eigh : eigenvalues and eigenvectors of symmetric/Hermitian arrays.
eigvals : eigenvalues of general real or complex arrays.
eig : eigenvalues and right eigenvectors of general real or complex
arrays.
Notes
-----
This is a simple interface to the LAPACK routines dsyevd and zheevd
that sets those routines' flags to return only the eigenvalues of
real symmetric and complex Hermitian arrays, respectively.
Examples
--------
>>> from numpy import linalg as LA
>>> a = np.array([[1, -2j], [2j, 5]])
>>> LA.eigvalsh(a)
array([ 0.17157288+0.j, 5.82842712+0.j])
"""
UPLO = asbytes(UPLO)
a, wrap = _makearray(a)
_assertRank2(a)
_assertSquareness(a)
t, result_t = _commonType(a)
real_t = _linalgRealType(t)
a = _fastCopyAndTranspose(t, a)
a = _to_native_byte_order(a)
n = a.shape[0]
liwork = 5*n+3
iwork = zeros((liwork,), fortran_int)
if isComplexType(t):
lapack_routine = lapack_lite.zheevd
w = zeros((n,), real_t)
lwork = 1
work = zeros((lwork,), t)
lrwork = 1
rwork = zeros((lrwork,), real_t)
results = lapack_routine(_N, UPLO, n, a, n, w, work, -1,
rwork, -1, iwork, liwork, 0)
lwork = int(abs(work[0]))
work = zeros((lwork,), t)
lrwork = int(rwork[0])
rwork = zeros((lrwork,), real_t)
results = lapack_routine(_N, UPLO, n, a, n, w, work, lwork,
rwork, lrwork, iwork, liwork, 0)
else:
lapack_routine = lapack_lite.dsyevd
w = zeros((n,), t)
lwork = 1
work = zeros((lwork,), t)
results = lapack_routine(_N, UPLO, n, a, n, w, work, -1,
iwork, liwork, 0)
lwork = int(work[0])
work = zeros((lwork,), t)
results = lapack_routine(_N, UPLO, n, a, n, w, work, lwork,
iwork, liwork, 0)
if results['info'] > 0:
raise LinAlgError('Eigenvalues did not converge')
return w.astype(result_t)
def _convertarray(a):
t, result_t = _commonType(a)
a = _fastCT(a.astype(t))
return a, t, result_t
# Eigenvectors
def eig(a):
"""
Compute the eigenvalues and right eigenvectors of a square array.
Parameters
----------
a : (M, M) array_like
A square array of real or complex elements.
Returns
-------
w : (M,) ndarray
The eigenvalues, each repeated according to its multiplicity.
The eigenvalues are not necessarily ordered, nor are they
necessarily real for real arrays (though for real arrays
complex-valued eigenvalues should occur in conjugate pairs).
v : (M, M) ndarray
The normalized (unit "length") eigenvectors, such that the
column ``v[:,i]`` is the eigenvector corresponding to the
eigenvalue ``w[i]``.
Raises
------
LinAlgError
If the eigenvalue computation does not converge.
See Also
--------
eigvalsh : eigenvalues of a symmetric or Hermitian (conjugate symmetric)
array.
eigvals : eigenvalues of a non-symmetric array.
Notes
-----
This is a simple interface to the LAPACK routines dgeev and zgeev
which compute the eigenvalues and eigenvectors of, respectively,
general real- and complex-valued square arrays.
The number `w` is an eigenvalue of `a` if there exists a vector
`v` such that ``dot(a,v) = w * v``. Thus, the arrays `a`, `w`, and
`v` satisfy the equations ``dot(a[i,:], v[i]) = w[i] * v[:,i]``
for :math:`i \\in \\{0,...,M-1\\}`.
The array `v` of eigenvectors may not be of maximum rank, that is, some
of the columns may be linearly dependent, although round-off error may
obscure that fact. If the eigenvalues are all different, then theoretically
the eigenvectors are linearly independent. Likewise, the (complex-valued)
matrix of eigenvectors `v` is unitary if the matrix `a` is normal, i.e.,
if ``dot(a, a.H) = dot(a.H, a)``, where `a.H` denotes the conjugate
transpose of `a`.
Finally, it is emphasized that `v` consists of the *right* (as in
right-hand side) eigenvectors of `a`. A vector `y` satisfying
``dot(y.T, a) = z * y.T`` for some number `z` is called a *left*
eigenvector of `a`, and, in general, the left and right eigenvectors
of a matrix are not necessarily the (perhaps conjugate) transposes
of each other.
References
----------
G. Strang, *Linear Algebra and Its Applications*, 2nd Ed., Orlando, FL,
Academic Press, Inc., 1980, Various pp.
Examples
--------
>>> from numpy import linalg as LA
(Almost) trivial example with real e-values and e-vectors.
>>> w, v = LA.eig(np.diag((1, 2, 3)))
>>> w; v
array([ 1., 2., 3.])
array([[ 1., 0., 0.],
[ 0., 1., 0.],
[ 0., 0., 1.]])
Real matrix possessing complex e-values and e-vectors; note that the
e-values are complex conjugates of each other.
>>> w, v = LA.eig(np.array([[1, -1], [1, 1]]))
>>> w; v
array([ 1. + 1.j, 1. - 1.j])
array([[ 0.70710678+0.j , 0.70710678+0.j ],
[ 0.00000000-0.70710678j, 0.00000000+0.70710678j]])
Complex-valued matrix with real e-values (but complex-valued e-vectors);
note that a.conj().T = a, i.e., a is Hermitian.
>>> a = np.array([[1, 1j], [-1j, 1]])
>>> w, v = LA.eig(a)
>>> w; v
array([ 2.00000000e+00+0.j, 5.98651912e-36+0.j]) # i.e., {2, 0}
array([[ 0.00000000+0.70710678j, 0.70710678+0.j ],
[ 0.70710678+0.j , 0.00000000+0.70710678j]])
Be careful about round-off error!
>>> a = np.array([[1 + 1e-9, 0], [0, 1 - 1e-9]])
>>> # Theor. e-values are 1 +/- 1e-9
>>> w, v = LA.eig(a)
>>> w; v
array([ 1., 1.])
array([[ 1., 0.],
[ 0., 1.]])
"""
a, wrap = _makearray(a)
_assertRank2(a)
_assertSquareness(a)
_assertFinite(a)
a, t, result_t = _convertarray(a) # convert to double or cdouble type
a = _to_native_byte_order(a)
real_t = _linalgRealType(t)
n = a.shape[0]
dummy = zeros((1,), t)
if isComplexType(t):
# Complex routines take different arguments
lapack_routine = lapack_lite.zgeev
w = zeros((n,), t)
v = zeros((n, n), t)
lwork = 1
work = zeros((lwork,), t)
rwork = zeros((2*n,), real_t)
results = lapack_routine(_N, _V, n, a, n, w,
dummy, 1, v, n, work, -1, rwork, 0)
lwork = int(abs(work[0]))
work = zeros((lwork,), t)
results = lapack_routine(_N, _V, n, a, n, w,
dummy, 1, v, n, work, lwork, rwork, 0)
else:
lapack_routine = lapack_lite.dgeev
wr = zeros((n,), t)
wi = zeros((n,), t)
vr = zeros((n, n), t)
lwork = 1
work = zeros((lwork,), t)
results = lapack_routine(_N, _V, n, a, n, wr, wi,
dummy, 1, vr, n, work, -1, 0)
lwork = int(work[0])
work = zeros((lwork,), t)
results = lapack_routine(_N, _V, n, a, n, wr, wi,
dummy, 1, vr, n, work, lwork, 0)
if all(wi == 0.0):
w = wr
v = vr
result_t = _realType(result_t)
else:
w = wr+1j*wi
v = array(vr, w.dtype)
ind = flatnonzero(wi != 0.0) # indices of complex e-vals
for i in range(len(ind)//2):
v[ind[2*i]] = vr[ind[2*i]] + 1j*vr[ind[2*i+1]]
v[ind[2*i+1]] = vr[ind[2*i]] - 1j*vr[ind[2*i+1]]
result_t = _complexType(result_t)
if results['info'] > 0:
raise LinAlgError('Eigenvalues did not converge')
vt = v.transpose().astype(result_t)
return w.astype(result_t), wrap(vt)
def eigh(a, UPLO='L'):
"""
Return the eigenvalues and eigenvectors of a Hermitian or symmetric matrix.
Returns two objects, a 1-D array containing the eigenvalues of `a`, and
a 2-D square array or matrix (depending on the input type) of the
corresponding eigenvectors (in columns).
Parameters
----------
a : (M, M) array_like
A complex Hermitian or real symmetric matrix.
UPLO : {'L', 'U'}, optional
Specifies whether the calculation is done with the lower triangular
part of `a` ('L', default) or the upper triangular part ('U').
Returns
-------
w : (M,) ndarray
The eigenvalues, not necessarily ordered.
v : {(M, M) ndarray, (M, M) matrix}
The column ``v[:, i]`` is the normalized eigenvector corresponding
to the eigenvalue ``w[i]``. Will return a matrix object if `a` is
a matrix object.
Raises
------
LinAlgError
If the eigenvalue computation does not converge.
See Also
--------
eigvalsh : eigenvalues of symmetric or Hermitian arrays.
eig : eigenvalues and right eigenvectors for non-symmetric arrays.
eigvals : eigenvalues of non-symmetric arrays.
Notes
-----
This is a simple interface to the LAPACK routines dsyevd and zheevd,
which compute the eigenvalues and eigenvectors of real symmetric and
complex Hermitian arrays, respectively.
The eigenvalues of real symmetric or complex Hermitian matrices are
always real. [1]_ The array `v` of (column) eigenvectors is unitary
and `a`, `w`, and `v` satisfy the equations
``dot(a, v[:, i]) = w[i] * v[:, i]``.
References
----------
.. [1] G. Strang, *Linear Algebra and Its Applications*, 2nd Ed., Orlando,
FL, Academic Press, Inc., 1980, pg. 222.
Examples
--------
>>> from numpy import linalg as LA
>>> a = np.array([[1, -2j], [2j, 5]])
>>> a
array([[ 1.+0.j, 0.-2.j],
[ 0.+2.j, 5.+0.j]])
>>> w, v = LA.eigh(a)
>>> w; v
array([ 0.17157288, 5.82842712])
array([[-0.92387953+0.j , -0.38268343+0.j ],
[ 0.00000000+0.38268343j, 0.00000000-0.92387953j]])
>>> np.dot(a, v[:, 0]) - w[0] * v[:, 0] # verify 1st e-val/vec pair
array([2.77555756e-17 + 0.j, 0. + 1.38777878e-16j])
>>> np.dot(a, v[:, 1]) - w[1] * v[:, 1] # verify 2nd e-val/vec pair
array([ 0.+0.j, 0.+0.j])
>>> A = np.matrix(a) # what happens if input is a matrix object
>>> A
matrix([[ 1.+0.j, 0.-2.j],
[ 0.+2.j, 5.+0.j]])
>>> w, v = LA.eigh(A)
>>> w; v
array([ 0.17157288, 5.82842712])
matrix([[-0.92387953+0.j , -0.38268343+0.j ],
[ 0.00000000+0.38268343j, 0.00000000-0.92387953j]])
"""
UPLO = asbytes(UPLO)
a, wrap = _makearray(a)
_assertRank2(a)
_assertSquareness(a)
t, result_t = _commonType(a)
real_t = _linalgRealType(t)
a = _fastCopyAndTranspose(t, a)
a = _to_native_byte_order(a)
n = a.shape[0]
liwork = 5*n+3
iwork = zeros((liwork,), fortran_int)
if isComplexType(t):
lapack_routine = lapack_lite.zheevd
w = zeros((n,), real_t)
lwork = 1
work = zeros((lwork,), t)
lrwork = 1
rwork = zeros((lrwork,), real_t)
results = lapack_routine(_V, UPLO, n, a, n, w, work, -1,
rwork, -1, iwork, liwork, 0)
lwork = int(abs(work[0]))
work = zeros((lwork,), t)
lrwork = int(rwork[0])
rwork = zeros((lrwork,), real_t)
results = lapack_routine(_V, UPLO, n, a, n, w, work, lwork,
rwork, lrwork, iwork, liwork, 0)
else:
lapack_routine = lapack_lite.dsyevd
w = zeros((n,), t)
lwork = 1
work = zeros((lwork,), t)
results = lapack_routine(_V, UPLO, n, a, n, w, work, -1,
iwork, liwork, 0)
lwork = int(work[0])
work = zeros((lwork,), t)
results = lapack_routine(_V, UPLO, n, a, n, w, work, lwork,
iwork, liwork, 0)
if results['info'] > 0:
raise LinAlgError('Eigenvalues did not converge')
at = a.transpose().astype(result_t)
return w.astype(_realType(result_t)), wrap(at)
# Singular value decomposition
def svd(a, full_matrices=1, compute_uv=1):
"""
Singular Value Decomposition.
Factors the matrix `a` as ``u * np.diag(s) * v``, where `u` and `v`
are unitary and `s` is a 1-d array of `a`'s singular values.
Parameters
----------
a : array_like
A real or complex matrix of shape (`M`, `N`) .
full_matrices : bool, optional
If True (default), `u` and `v` have the shapes (`M`, `M`) and
(`N`, `N`), respectively. Otherwise, the shapes are (`M`, `K`)
and (`K`, `N`), respectively, where `K` = min(`M`, `N`).
compute_uv : bool, optional
Whether or not to compute `u` and `v` in addition to `s`. True
by default.
Returns
-------
u : ndarray
Unitary matrix. The shape of `u` is (`M`, `M`) or (`M`, `K`)
depending on value of ``full_matrices``.
s : ndarray
The singular values, sorted so that ``s[i] >= s[i+1]``. `s` is
a 1-d array of length min(`M`, `N`).
v : ndarray
Unitary matrix of shape (`N`, `N`) or (`K`, `N`), depending on
``full_matrices``.
Raises
------
LinAlgError
If SVD computation does not converge.
Notes
-----
The SVD is commonly written as ``a = U S V.H``. The `v` returned
by this function is ``V.H`` and ``u = U``.
If ``U`` is a unitary matrix, it means that it
satisfies ``U.H = inv(U)``.
The rows of `v` are the eigenvectors of ``a.H a``. The columns
of `u` are the eigenvectors of ``a a.H``. For row ``i`` in
`v` and column ``i`` in `u`, the corresponding eigenvalue is
``s[i]**2``.
If `a` is a `matrix` object (as opposed to an `ndarray`), then so
are all the return values.
Examples
--------
>>> a = np.random.randn(9, 6) + 1j*np.random.randn(9, 6)
Reconstruction based on full SVD:
>>> U, s, V = np.linalg.svd(a, full_matrices=True)
>>> U.shape, V.shape, s.shape
((9, 6), (6, 6), (6,))
>>> S = np.zeros((9, 6), dtype=complex)
>>> S[:6, :6] = np.diag(s)
>>> np.allclose(a, np.dot(U, np.dot(S, V)))
True
Reconstruction based on reduced SVD:
>>> U, s, V = np.linalg.svd(a, full_matrices=False)
>>> U.shape, V.shape, s.shape
((9, 6), (6, 6), (6,))
>>> S = np.diag(s)
>>> np.allclose(a, np.dot(U, np.dot(S, V)))
True
"""
a, wrap = _makearray(a)
_assertRank2(a)
_assertNonEmpty(a)
m, n = a.shape
t, result_t = _commonType(a)
real_t = _linalgRealType(t)
a = _fastCopyAndTranspose(t, a)
a = _to_native_byte_order(a)
s = zeros((min(n, m),), real_t)
if compute_uv:
if full_matrices:
nu = m
nvt = n
option = _A
else:
nu = min(n, m)
nvt = min(n, m)
option = _S
u = zeros((nu, m), t)
vt = zeros((n, nvt), t)
else:
option = _N
nu = 1
nvt = 1
u = empty((1, 1), t)
vt = empty((1, 1), t)
iwork = zeros((8*min(m, n),), fortran_int)
if isComplexType(t):
lapack_routine = lapack_lite.zgesdd
lrwork = min(m,n)*max(5*min(m,n)+7, 2*max(m,n)+2*min(m,n)+1)
rwork = zeros((lrwork,), real_t)
lwork = 1
work = zeros((lwork,), t)
results = lapack_routine(option, m, n, a, m, s, u, m, vt, nvt,
work, -1, rwork, iwork, 0)
lwork = int(abs(work[0]))
work = zeros((lwork,), t)
results = lapack_routine(option, m, n, a, m, s, u, m, vt, nvt,
work, lwork, rwork, iwork, 0)
else:
lapack_routine = lapack_lite.dgesdd
lwork = 1
work = zeros((lwork,), t)
results = lapack_routine(option, m, n, a, m, s, u, m, vt, nvt,
work, -1, iwork, 0)
lwork = int(work[0])
work = zeros((lwork,), t)
results = lapack_routine(option, m, n, a, m, s, u, m, vt, nvt,
work, lwork, iwork, 0)
if results['info'] > 0:
raise LinAlgError('SVD did not converge')
s = s.astype(_realType(result_t))
if compute_uv:
u = u.transpose().astype(result_t)
vt = vt.transpose().astype(result_t)
return wrap(u), s, wrap(vt)
else:
return s
def cond(x, p=None):
"""
Compute the condition number of a matrix.
This function is capable of returning the condition number using
one of seven different norms, depending on the value of `p` (see
Parameters below).
Parameters
----------
x : (M, N) array_like
The matrix whose condition number is sought.
p : {None, 1, -1, 2, -2, inf, -inf, 'fro'}, optional
Order of the norm:
===== ============================
p norm for matrices
===== ============================
None 2-norm, computed directly using the ``SVD``
'fro' Frobenius norm
inf max(sum(abs(x), axis=1))
-inf min(sum(abs(x), axis=1))
1 max(sum(abs(x), axis=0))
-1 min(sum(abs(x), axis=0))
2 2-norm (largest sing. value)
-2 smallest singular value
===== ============================
inf means the numpy.inf object, and the Frobenius norm is
the root-of-sum-of-squares norm.
Returns
-------
c : {float, inf}
The condition number of the matrix. May be infinite.
See Also
--------
numpy.linalg.norm
Notes
-----
The condition number of `x` is defined as the norm of `x` times the
norm of the inverse of `x` [1]_; the norm can be the usual L2-norm
(root-of-sum-of-squares) or one of a number of other matrix norms.
References
----------
.. [1] G. Strang, *Linear Algebra and Its Applications*, Orlando, FL,
Academic Press, Inc., 1980, pg. 285.
Examples
--------
>>> from numpy import linalg as LA
>>> a = np.array([[1, 0, -1], [0, 1, 0], [1, 0, 1]])
>>> a
array([[ 1, 0, -1],
[ 0, 1, 0],
[ 1, 0, 1]])
>>> LA.cond(a)
1.4142135623730951
>>> LA.cond(a, 'fro')
3.1622776601683795
>>> LA.cond(a, np.inf)
2.0
>>> LA.cond(a, -np.inf)
1.0
>>> LA.cond(a, 1)
2.0
>>> LA.cond(a, -1)
1.0
>>> LA.cond(a, 2)
1.4142135623730951
>>> LA.cond(a, -2)
0.70710678118654746
>>> min(LA.svd(a, compute_uv=0))*min(LA.svd(LA.inv(a), compute_uv=0))
0.70710678118654746
"""
x = asarray(x) # in case we have a matrix
if p is None:
s = svd(x,compute_uv=False)
return s[0]/s[-1]
else:
return norm(x,p)*norm(inv(x),p)
def matrix_rank(M, tol=None):
"""
Return matrix rank of array using SVD method
Rank of the array is the number of SVD singular values of the array that are
greater than `tol`.
Parameters
----------
M : {(M,), (M, N)} array_like
array of <=2 dimensions
tol : {None, float}, optional
threshold below which SVD values are considered zero. If `tol` is
None, and ``S`` is an array with singular values for `M`, and
``eps`` is the epsilon value for datatype of ``S``, then `tol` is
set to ``S.max() * max(M.shape) * eps``.
Notes
-----
The default threshold to detect rank deficiency is a test on the magnitude
of the singular values of `M`. By default, we identify singular values less
than ``S.max() * max(M.shape) * eps`` as indicating rank deficiency (with
the symbols defined above). This is the algorithm MATLAB uses [1]. It also
appears in *Numerical recipes* in the discussion of SVD solutions for linear
least squares [2].
This default threshold is designed to detect rank deficiency accounting for
the numerical errors of the SVD computation. Imagine that there is a column
in `M` that is an exact (in floating point) linear combination of other
columns in `M`. Computing the SVD on `M` will not produce a singular value
exactly equal to 0 in general: any difference of the smallest SVD value from
0 will be caused by numerical imprecision in the calculation of the SVD.
Our threshold for small SVD values takes this numerical imprecision into
account, and the default threshold will detect such numerical rank
deficiency. The threshold may declare a matrix `M` rank deficient even if
the linear combination of some columns of `M` is not exactly equal to
another column of `M` but only numerically very close to another column of
`M`.
We chose our default threshold because it is in wide use. Other thresholds
are possible. For example, elsewhere in the 2007 edition of *Numerical
recipes* there is an alternative threshold of ``S.max() *
np.finfo(M.dtype).eps / 2. * np.sqrt(m + n + 1.)``. The authors describe
this threshold as being based on "expected roundoff error" (p 71).
The thresholds above deal with floating point roundoff error in the
calculation of the SVD. However, you may have more information about the
sources of error in `M` that would make you consider other tolerance values
to detect *effective* rank deficiency. The most useful measure of the
tolerance depends on the operations you intend to use on your matrix. For
example, if your data come from uncertain measurements with uncertainties
greater than floating point epsilon, choosing a tolerance near that
uncertainty may be preferable. The tolerance may be absolute if the
uncertainties are absolute rather than relative.
References
----------
.. [1] MATLAB reference documention, "Rank"
http://www.mathworks.com/help/techdoc/ref/rank.html
.. [2] W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery,
"Numerical Recipes (3rd edition)", Cambridge University Press, 2007,
page 795.
Examples
--------
>>> from numpy.linalg import matrix_rank
>>> matrix_rank(np.eye(4)) # Full rank matrix
4
>>> I=np.eye(4); I[-1,-1] = 0. # rank deficient matrix
>>> matrix_rank(I)
3
>>> matrix_rank(np.ones((4,))) # 1 dimension - rank 1 unless all 0
1
>>> matrix_rank(np.zeros((4,)))
0
"""
M = asarray(M)
if M.ndim > 2:
raise TypeError('array should have 2 or fewer dimensions')
if M.ndim < 2:
return int(not all(M==0))
S = svd(M, compute_uv=False)
if tol is None:
tol = S.max() * max(M.shape) * finfo(S.dtype).eps
return sum(S > tol)
# Generalized inverse
def pinv(a, rcond=1e-15 ):
"""
Compute the (Moore-Penrose) pseudo-inverse of a matrix.
Calculate the generalized inverse of a matrix using its
singular-value decomposition (SVD) and including all
*large* singular values.
Parameters
----------
a : (M, N) array_like
Matrix to be pseudo-inverted.
rcond : float
Cutoff for small singular values.
Singular values smaller (in modulus) than
`rcond` * largest_singular_value (again, in modulus)
are set to zero.
Returns
-------
B : (N, M) ndarray
The pseudo-inverse of `a`. If `a` is a `matrix` instance, then so
is `B`.
Raises
------
LinAlgError
If the SVD computation does not converge.
Notes
-----
The pseudo-inverse of a matrix A, denoted :math:`A^+`, is
defined as: "the matrix that 'solves' [the least-squares problem]
:math:`Ax = b`," i.e., if :math:`\\bar{x}` is said solution, then
:math:`A^+` is that matrix such that :math:`\\bar{x} = A^+b`.
It can be shown that if :math:`Q_1 \\Sigma Q_2^T = A` is the singular
value decomposition of A, then
:math:`A^+ = Q_2 \\Sigma^+ Q_1^T`, where :math:`Q_{1,2}` are
orthogonal matrices, :math:`\\Sigma` is a diagonal matrix consisting
of A's so-called singular values, (followed, typically, by
zeros), and then :math:`\\Sigma^+` is simply the diagonal matrix
consisting of the reciprocals of A's singular values
(again, followed by zeros). [1]_
References
----------
.. [1] G. Strang, *Linear Algebra and Its Applications*, 2nd Ed., Orlando,
FL, Academic Press, Inc., 1980, pp. 139-142.
Examples
--------
The following example checks that ``a * a+ * a == a`` and
``a+ * a * a+ == a+``:
>>> a = np.random.randn(9, 6)
>>> B = np.linalg.pinv(a)
>>> np.allclose(a, np.dot(a, np.dot(B, a)))
True
>>> np.allclose(B, np.dot(B, np.dot(a, B)))
True
"""
a, wrap = _makearray(a)
_assertNonEmpty(a)
a = a.conjugate()
u, s, vt = svd(a, 0)
m = u.shape[0]
n = vt.shape[1]
cutoff = rcond*maximum.reduce(s)
for i in range(min(n, m)):
if s[i] > cutoff:
s[i] = 1./s[i]
else:
s[i] = 0.;
res = dot(transpose(vt), multiply(s[:, newaxis],transpose(u)))
return wrap(res)
# Determinant
def slogdet(a):
"""
Compute the sign and (natural) logarithm of the determinant of an array.
If an array has a very small or very large determinant, than a call to
`det` may overflow or underflow. This routine is more robust against such
issues, because it computes the logarithm of the determinant rather than
the determinant itself.
Parameters
----------
a : array_like
Input array, has to be a square 2-D array.
Returns
-------
sign : float or complex
A number representing the sign of the determinant. For a real matrix,
this is 1, 0, or -1. For a complex matrix, this is a complex number
with absolute value 1 (i.e., it is on the unit circle), or else 0.
logdet : float
The natural log of the absolute value of the determinant.
If the determinant is zero, then `sign` will be 0 and `logdet` will be
-Inf. In all cases, the determinant is equal to ``sign * np.exp(logdet)``.
See Also
--------
det
Notes
-----
The determinant is computed via LU factorization using the LAPACK
routine z/dgetrf.
.. versionadded:: 1.6.0.
Examples
--------
The determinant of a 2-D array ``[[a, b], [c, d]]`` is ``ad - bc``:
>>> a = np.array([[1, 2], [3, 4]])
>>> (sign, logdet) = np.linalg.slogdet(a)
>>> (sign, logdet)
(-1, 0.69314718055994529)
>>> sign * np.exp(logdet)
-2.0
This routine succeeds where ordinary `det` does not:
>>> np.linalg.det(np.eye(500) * 0.1)
0.0
>>> np.linalg.slogdet(np.eye(500) * 0.1)
(1, -1151.2925464970228)
"""
a = asarray(a)
_assertRank2(a)
_assertSquareness(a)
t, result_t = _commonType(a)
a = _fastCopyAndTranspose(t, a)
a = _to_native_byte_order(a)
n = a.shape[0]
if isComplexType(t):
lapack_routine = lapack_lite.zgetrf
else:
lapack_routine = lapack_lite.dgetrf
pivots = zeros((n,), fortran_int)
results = lapack_routine(n, n, a, n, pivots, 0)
info = results['info']
if (info < 0):
raise TypeError("Illegal input to Fortran routine")
elif (info > 0):
return (t(0.0), _realType(t)(-Inf))
sign = 1. - 2. * (add.reduce(pivots != arange(1, n + 1)) % 2)
d = diagonal(a)
absd = absolute(d)
sign *= multiply.reduce(d / absd)
log(absd, absd)
logdet = add.reduce(absd, axis=-1)
return sign, logdet
def det(a):
"""
Compute the determinant of an array.
Parameters
----------
a : (M, M) array_like
Input array.
Returns
-------
det : float
Determinant of `a`.
See Also
--------
slogdet : Another way to representing the determinant, more suitable
for large matrices where underflow/overflow may occur.
Notes
-----
The determinant is computed via LU factorization using the LAPACK
routine z/dgetrf.
Examples
--------
The determinant of a 2-D array [[a, b], [c, d]] is ad - bc:
>>> a = np.array([[1, 2], [3, 4]])
>>> np.linalg.det(a)
-2.0
"""
sign, logdet = slogdet(a)
return sign * exp(logdet)
# Linear Least Squares
def lstsq(a, b, rcond=-1):
"""
Return the least-squares solution to a linear matrix equation.
Solves the equation `a x = b` by computing a vector `x` that
minimizes the Euclidean 2-norm `|| b - a x ||^2`. The equation may
be under-, well-, or over- determined (i.e., the number of
linearly independent rows of `a` can be less than, equal to, or
greater than its number of linearly independent columns). If `a`
is square and of full rank, then `x` (but for round-off error) is
the "exact" solution of the equation.
Parameters
----------
a : (M, N) array_like
"Coefficient" matrix.
b : {(M,), (M, K)} array_like
Ordinate or "dependent variable" values. If `b` is two-dimensional,
the least-squares solution is calculated for each of the `K` columns
of `b`.
rcond : float, optional
Cut-off ratio for small singular values of `a`.
Singular values are set to zero if they are smaller than `rcond`
times the largest singular value of `a`.
Returns
-------
x : {(M,), (M, K)} ndarray
Least-squares solution. The shape of `x` depends on the shape of
`b`.
residuals : {(), (1,), (K,)} ndarray
Sums of residuals; squared Euclidean 2-norm for each column in
``b - a*x``.
If the rank of `a` is < N or > M, this is an empty array.
If `b` is 1-dimensional, this is a (1,) shape array.
Otherwise the shape is (K,).
rank : int
Rank of matrix `a`.
s : (min(M, N),) ndarray
Singular values of `a`.
Raises
------
LinAlgError
If computation does not converge.
Notes
-----
If `b` is a matrix, then all array results are returned as matrices.
Examples
--------
Fit a line, ``y = mx + c``, through some noisy data-points:
>>> x = np.array([0, 1, 2, 3])
>>> y = np.array([-1, 0.2, 0.9, 2.1])
By examining the coefficients, we see that the line should have a
gradient of roughly 1 and cut the y-axis at, more or less, -1.
We can rewrite the line equation as ``y = Ap``, where ``A = [[x 1]]``
and ``p = [[m], [c]]``. Now use `lstsq` to solve for `p`:
>>> A = np.vstack([x, np.ones(len(x))]).T
>>> A
array([[ 0., 1.],
[ 1., 1.],
[ 2., 1.],
[ 3., 1.]])
>>> m, c = np.linalg.lstsq(A, y)[0]
>>> print m, c
1.0 -0.95
Plot the data along with the fitted line:
>>> import matplotlib.pyplot as plt
>>> plt.plot(x, y, 'o', label='Original data', markersize=10)
>>> plt.plot(x, m*x + c, 'r', label='Fitted line')
>>> plt.legend()
>>> plt.show()
"""
import math
a, _ = _makearray(a)
b, wrap = _makearray(b)
is_1d = len(b.shape) == 1
if is_1d:
b = b[:, newaxis]
_assertRank2(a, b)
m = a.shape[0]
n = a.shape[1]
n_rhs = b.shape[1]
ldb = max(n, m)
if m != b.shape[0]:
raise LinAlgError('Incompatible dimensions')
t, result_t = _commonType(a, b)
result_real_t = _realType(result_t)
real_t = _linalgRealType(t)
bstar = zeros((ldb, n_rhs), t)
bstar[:b.shape[0],:n_rhs] = b.copy()
a, bstar = _fastCopyAndTranspose(t, a, bstar)
a, bstar = _to_native_byte_order(a, bstar)
s = zeros((min(m, n),), real_t)
nlvl = max( 0, int( math.log( float(min(m, n))/2. ) ) + 1 )
iwork = zeros((3*min(m, n)*nlvl+11*min(m, n),), fortran_int)
if isComplexType(t):
lapack_routine = lapack_lite.zgelsd
lwork = 1
rwork = zeros((lwork,), real_t)
work = zeros((lwork,), t)
results = lapack_routine(m, n, n_rhs, a, m, bstar, ldb, s, rcond,
0, work, -1, rwork, iwork, 0)
lwork = int(abs(work[0]))
rwork = zeros((lwork,), real_t)
a_real = zeros((m, n), real_t)
bstar_real = zeros((ldb, n_rhs,), real_t)
results = lapack_lite.dgelsd(m, n, n_rhs, a_real, m,
bstar_real, ldb, s, rcond,
0, rwork, -1, iwork, 0)
lrwork = int(rwork[0])
work = zeros((lwork,), t)
rwork = zeros((lrwork,), real_t)
results = lapack_routine(m, n, n_rhs, a, m, bstar, ldb, s, rcond,
0, work, lwork, rwork, iwork, 0)
else:
lapack_routine = lapack_lite.dgelsd
lwork = 1
work = zeros((lwork,), t)
results = lapack_routine(m, n, n_rhs, a, m, bstar, ldb, s, rcond,
0, work, -1, iwork, 0)
lwork = int(work[0])
work = zeros((lwork,), t)
results = lapack_routine(m, n, n_rhs, a, m, bstar, ldb, s, rcond,
0, work, lwork, iwork, 0)
if results['info'] > 0:
raise LinAlgError('SVD did not converge in Linear Least Squares')
resids = array([], result_real_t)
if is_1d:
x = array(ravel(bstar)[:n], dtype=result_t, copy=True)
if results['rank'] == n and m > n:
if isComplexType(t):
resids = array([sum(abs(ravel(bstar)[n:])**2)],
dtype=result_real_t)
else:
resids = array([sum((ravel(bstar)[n:])**2)],
dtype=result_real_t)
else:
x = array(transpose(bstar)[:n,:], dtype=result_t, copy=True)
if results['rank'] == n and m > n:
if isComplexType(t):
resids = sum(abs(transpose(bstar)[n:,:])**2, axis=0).astype(
result_real_t)
else:
resids = sum((transpose(bstar)[n:,:])**2, axis=0).astype(
result_real_t)
st = s[:min(n, m)].copy().astype(result_real_t)
return wrap(x), wrap(resids), results['rank'], st
def norm(x, ord=None):
"""
Matrix or vector norm.
This function is able to return one of seven different matrix norms,
or one of an infinite number of vector norms (described below), depending
on the value of the ``ord`` parameter.
Parameters
----------
x : {(M,), (M, N)} array_like
Input array.
ord : {non-zero int, inf, -inf, 'fro'}, optional
Order of the norm (see table under ``Notes``). inf means numpy's
`inf` object.
Returns
-------
n : float
Norm of the matrix or vector.
Notes
-----
For values of ``ord <= 0``, the result is, strictly speaking, not a
mathematical 'norm', but it may still be useful for various numerical
purposes.
The following norms can be calculated:
===== ============================ ==========================
ord norm for matrices norm for vectors
===== ============================ ==========================
None Frobenius norm 2-norm
'fro' Frobenius norm --
inf max(sum(abs(x), axis=1)) max(abs(x))
-inf min(sum(abs(x), axis=1)) min(abs(x))
0 -- sum(x != 0)
1 max(sum(abs(x), axis=0)) as below
-1 min(sum(abs(x), axis=0)) as below
2 2-norm (largest sing. value) as below
-2 smallest singular value as below
other -- sum(abs(x)**ord)**(1./ord)
===== ============================ ==========================
The Frobenius norm is given by [1]_:
:math:`||A||_F = [\\sum_{i,j} abs(a_{i,j})^2]^{1/2}`
References
----------
.. [1] G. H. Golub and C. F. Van Loan, *Matrix Computations*,
Baltimore, MD, Johns Hopkins University Press, 1985, pg. 15
Examples
--------
>>> from numpy import linalg as LA
>>> a = np.arange(9) - 4
>>> a
array([-4, -3, -2, -1, 0, 1, 2, 3, 4])
>>> b = a.reshape((3, 3))
>>> b
array([[-4, -3, -2],
[-1, 0, 1],
[ 2, 3, 4]])
>>> LA.norm(a)
7.745966692414834
>>> LA.norm(b)
7.745966692414834
>>> LA.norm(b, 'fro')
7.745966692414834
>>> LA.norm(a, np.inf)
4
>>> LA.norm(b, np.inf)
9
>>> LA.norm(a, -np.inf)
0
>>> LA.norm(b, -np.inf)
2
>>> LA.norm(a, 1)
20
>>> LA.norm(b, 1)
7
>>> LA.norm(a, -1)
-4.6566128774142013e-010
>>> LA.norm(b, -1)
6
>>> LA.norm(a, 2)
7.745966692414834
>>> LA.norm(b, 2)
7.3484692283495345
>>> LA.norm(a, -2)
nan
>>> LA.norm(b, -2)
1.8570331885190563e-016
>>> LA.norm(a, 3)
5.8480354764257312
>>> LA.norm(a, -3)
nan
"""
x = asarray(x)
if ord is None: # check the default case first and handle it immediately
return sqrt(add.reduce((x.conj() * x).ravel().real))
nd = x.ndim
if nd == 1:
if ord == Inf:
return abs(x).max()
elif ord == -Inf:
return abs(x).min()
elif ord == 0:
return (x != 0).sum() # Zero norm
elif ord == 1:
return abs(x).sum() # special case for speedup
elif ord == 2:
return sqrt(((x.conj()*x).real).sum()) # special case for speedup
else:
try:
ord + 1
except TypeError:
raise ValueError("Invalid norm order for vectors.")
return ((abs(x)**ord).sum())**(1.0/ord)
elif nd == 2:
if ord == 2:
return svd(x, compute_uv=0).max()
elif ord == -2:
return svd(x, compute_uv=0).min()
elif ord == 1:
return abs(x).sum(axis=0).max()
elif ord == Inf:
return abs(x).sum(axis=1).max()
elif ord == -1:
return abs(x).sum(axis=0).min()
elif ord == -Inf:
return abs(x).sum(axis=1).min()
elif ord in ['fro','f']:
return sqrt(add.reduce((x.conj() * x).real.ravel()))
else:
raise ValueError("Invalid norm order for matrices.")
else:
raise ValueError("Improper number of dimensions to norm.")
| bsd-3-clause |
openp2pdesign/makerlabs | makerlabs/hackaday_io.py | 2 | 4767 | # -*- encoding: utf-8 -*-
#
# Access data from hackaday.io
#
# Author: Massimo Menichinelli
# Homepage: http://www.openp2pdesign.org
# License: LGPL v.3
#
#
from classes import Lab
import json
import requests
from geojson import dumps, Feature, Point, FeatureCollection
from geopy.geocoders import Nominatim
import pandas as pd
# Geocoding variable
geolocator = Nominatim()
# Endpoints
# The documented endpoint does not have coordinates,
# the undocumented one has them, so for the moment we use the latter.
# The undocumented endpoint does not need API keys or OAuth.
# hackaday.io API documentation:
# https://dev.hackaday.io/doc/api/get-pages
# Register your app for the API key here:
# https://dev.hackaday.io/applications
client_id = "..."
client_secret = "..."
API_key = "..."
# Documented endpoint for the list of hackerspaces
hackaday_io_labs_api_url = "https://api.hackaday.io/v1/pages/hackerspaces?api_key=" + API_key
# Undocumented endpoint for the map of hackerspaces
hackaday_io_labs_map_url = "http://hackaday.io/api/location/hackerspaces"
class Hackerspace(Lab):
"""Represents a Hackerspace as it is described on hackaday.io."""
def __init__(self):
self.source = "hackaday.io"
self.lab_type = "Hackerspace"
def data_from_hackaday_io(endpoint):
"""Gets data from hackaday.io."""
data = requests.get(endpoint).json()
return data
def get_labs(format):
"""Gets Hackerspaces data from hackaday.io."""
hackerspaces_json = data_from_hackaday_io(hackaday_io_labs_map_url)
hackerspaces = {}
# Load all the Hackerspaces
for i in hackerspaces_json:
current_lab = Hackerspace()
current_lab.id = i["id"]
current_lab.url = "https://hackaday.io/hackerspace/" + current_lab.id
current_lab.name = i["name"]
if len(i["description"]) != 0:
current_lab.description = i["description"]
elif len(i["summary"]) != 0:
current_lab.description = i["summary"]
current_lab.created_at = i["moments"]["exact"]
# Check if there are coordinates
if i["latlon"] is not None:
latlon = json.loads(i["latlon"])
current_lab.latitude = latlon["lat"]
current_lab.longitude = latlon["lng"]
# Get country, county and city from them
country = geolocator.reverse(
[latlon["lat"], latlon["lng"]])
current_lab.country = country.raw[
"address"]["country"]
current_lab.address = country.raw["display_name"]
current_lab.address_1 = country.raw["display_name"]
current_lab.country_code = country.raw[
"address"]["country_code"]
current_lab.county = country.raw[
"address"]["state_district"]
current_lab.city = country.raw[
"address"]["city"]
current_lab.postal_code = country.raw[
"address"]["postcode"]
else:
# For labs without a location or coordinates
# add 0,0 as coordinates
current_lab.latitude = 0.0
current_lab.longitude = 0.0
# Add the lab
hackerspaces[i["name"]] = current_lab
# Return a dictiornary / json
if format.lower() == "dict" or format.lower() == "json":
output = {}
for j in hackerspaces:
output[j] = hackerspaces[j].__dict__
# Return a geojson
elif format.lower() == "geojson" or format.lower() == "geo":
labs_list = []
for l in hackerspaces:
single = hackerspaces[l].__dict__
single_lab = Feature(
type="Feature",
geometry=Point((single["latitude"], single["longitude"])),
properties=single)
labs_list.append(single_lab)
output = dumps(FeatureCollection(labs_list))
# Return a Pandas DataFrame
elif format.lower() == "pandas" or format.lower() == "dataframe":
output = {}
for j in hackerspaces:
output[j] = hackerspaces[j].__dict__
# Transform the dict into a Pandas DataFrame
output = pd.DataFrame.from_dict(output)
output = output.transpose()
# Return an object
elif format.lower() == "object" or format.lower() == "obj":
output = hackerspaces
# Default: return an oject
else:
output = hackerspaces
# Return a proper json
if format.lower() == "json":
output = json.dumps(output)
return output
def labs_count():
"""Gets the number of current Hackerspaces listed on hackaday.io."""
hackerspaces = data_from_hackaday_io(hackaday_io_labs_api_url)
return len(hackerspaces["labs"])
if __name__ == "__main__":
pass
| lgpl-3.0 |
mstrandgren/homology_ocr | figures.py | 1 | 6408 | import math
import numpy as np
import matplotlib.pyplot as plt
import homology as hm
import barcode as bc
from data import *
from utils import sparse_sample
from plot_utils import *
def run():
# ellipse_filtration()
# ellipse_barcode()
# p_tangents()
# puv_curve()
# rips_test()
# delaunay_test()
# alpha_test()
# witness_test()
# delaunay_vs_alpha()
# triangulation_test()
distance_test()
# image_preprocessing()
def ellipse_filtration():
vertices, edges = get_ellipse(16, .5)
k = 4
r = 1
w = 0
# plot_edges(vertices, edges, plt, k = k, r = r, w = w)
plot_filtration(vertices, edges, plt, N_s = vertices.shape[0], k = k, r = r, w = w)
plt.tight_layout()
plt.show()
def ellipse_barcode():
vertices, edges = get_ellipse(16, .5)
k = 4
r = 1
w = 0
# plot_edges(vertices, edges, plt, k = k, r = r, w = w)
plot_barcode(vertices, edges, plt, N_s = vertices.shape[0], k = k, r = r, w = w)
plt.tight_layout()
plt.show()
def p_tangents():
N = 500
N_s = 50
k = 50
r = .5
w = .6
vertices = get_image('P', 0, size=200, sample_size=N)[0]
plot_tangents(vertices, plt, k = k)
plt.show()
def puv_curve():
N = 500
N_s = 50
k = 50
r = .5
w = .6
P = get_image('P', 0, size=200, sample_size=N)[0]
U = get_image('U', 0, size=200, sample_size=N)[0]
V = get_image('V', 0, size=200, sample_size=N)[0]
f, ax = plt.subplots(1,3)
plot_curve(P, ax[0], k = k, w = w)
plot_curve(U, ax[1], k = k, w = w)
plot_curve(V, ax[2], k = k, w = w)
plt.show()
def rips_test():
N = 500
N_s = 50
k = 50
w = .6
P = get_image('P', 0, size=200, sample_size=N)[0]
f, ax = plt.subplots(1, 2)
plot_triangulation(P, plt=ax[0], N_s = N_s, k = k, r = 0.80, w = w, triangulation='rips4')
ax[0].set_title("Rips Tangent Complex")
plot_triangulation(P, plt=ax[1], N_s = N_s, k = k, r = 0.4, w = w, triangulation='rips2')
ax[1].set_title("Rips Vertex Complex")
plt.show()
def delaunay_test():
N = 500
N_s = 20
k = 50
r = .2
w = .6
P = get_image('P', 0, size=200, sample_size=N)[0]
f, ax = plt.subplots(1, 2)
plot_triangulation(P, plt=ax[0], N_s = N_s, k = k, r = r, w = w, triangulation='delaunay4')
ax[0].set_title("Delaunay Triangulation of Tangent Space")
plot_triangulation(P, plt=ax[1], N_s = N_s, k = k, r = r, w = w, triangulation='delaunay2')
ax[1].set_title("Delaunay Triangulation of Vertex Space")
plt.show()
def alpha_test():
N = 500
N_s = 50
k = 50
w = .7
P = get_image('P', 0, size=200, sample_size=N)[0]
f, ax = plt.subplots(1, 2)
plot_triangulation(P, plt=ax[0], N_s = N_s, k = k, r = .6, w = w, triangulation='alpha4')
ax[0].set_title("α Tangent Complex")
plot_triangulation(P, plt=ax[1], N_s = N_s, k = k, r = .2, w = w, triangulation='alpha2')
ax[1].set_title("α Vertex Complex")
plt.show()
def delaunay_vs_alpha():
N = 500
N_s = 20
k = 50
r = .4
w = .6
P = get_image('P', 0, size=200, sample_size=N)[0]
f, ax = plt.subplots(1, 2)
plot_triangulation(P, plt=ax[0], N_s = N_s, k = k, r = r, w = w, triangulation='delaunay2')
ax[0].set_title("Delaunay Vertex Complex")
plot_triangulation(P, plt=ax[1], N_s = N_s, k = k, r = r, w = w, triangulation='alpha2')
ax[1].set_title("α Vertex Complex")
plt.show()
def witness_test():
N = 500
N_s = 50
k = 50
w = .7
P = get_image('P', 0, size=200, sample_size=N)[0]
f, ax = plt.subplots(1, 2)
plot_triangulation(P, plt=ax[0], N_s = N_s, k = k, r = 1, w = w, triangulation='witness4')
ax[0].set_title("Witness Tangent Complex")
plot_triangulation(P, plt=ax[1], N_s = N_s, k = k, r = 1, w = w, triangulation='witness2')
ax[1].set_title("Witness Vertex Complex")
plt.show()
def triangulation_test():
N = 500
N_s = 30
k = 50
r = .4
w = .6
M = 3
letter = 'T'
f, ax = plt.subplots(3, 3)
for m in range(M):
vs,_,_,original = get_image(letter, m, size=200, sample_size=N)
ax[0][m].set_title("Original image")
ax[0][m].imshow(original, cmap='binary')
ax[0][m].set_xticks([])
ax[0][m].set_yticks([])
plot_triangulation(vs, plt=ax[1][m], N_s = N_s, k = k, r = .3, w = .7, triangulation='alpha2')
ax[1][m].set_title("α Complex (2D)")
std_plot(ax[1][m])
plot_triangulation(vs, plt=ax[2][m], N_s = N_s, k = k, r = .5, w = .7, triangulation='witness2')
ax[2][m].set_title("Witness Complex (2D)")
std_plot(ax[2][m])
plt.tight_layout()
plt.show()
def distance_test():
letters = 'ABCDE'
L = len(letters)
M = 5
N = 500
N_s = 50
k = int(N/5)
w = .7
r = .5
triangulation = 'alpha4'
barcodes = []
f, bax = plt.subplots(len(letters),M)
f, iax = plt.subplots(len(letters),M)
for i, letter in enumerate(letters):
for j in range(0, M):
print("Doing {0}-{1}".format(letter, j))
idx = i * M + j
vertices = get_image(letter, j, size=100, sample_size=N)[0]
v, t, c, e, simplices = hm.get_all(vertices, N_s = N_s, k = k, r = r, w = w, triangulation=triangulation)
b = bc.get_barcode(simplices, degree_values=c[np.argsort(c)])
b = b[b[:, 2] == 0, :] # Only 1-bars
barcodes.append(b)
plot_barcode_gant(b, plt=bax[i][j])
bax[i][j]
plot_edges(v, e, iax[i][j])
std_plot(iax[i][j])
print("Doing diffs...")
M_b = len(barcodes)
diffs = np.zeros([M_b,M_b])
inf = 1e14
for i in range(M_b):
for j in range(M_b):
diffs[i,j] = bc.barcode_diff(barcodes[i], barcodes[j], inf=inf)
# print("Diff ({0},{1}) = {2:1.3f}".format(i, j, diffs[i,j]))
plt.figure()
plot_diffs(diffs, letters, plt)
plt.show()
def image_preprocessing():
N = 500
N_s = 30
sample, vertices, image, original = get_image('A', 1, size=200, sample_size=N)
f, ax = plt.subplots(2,2, gridspec_kw = {'width_ratios':[1,1]})
ax[0][0].imshow(original, cmap='binary')
ax[0][0].set_xticks([])
ax[0][0].set_yticks([])
ax[0][0].set_title("Original Image")
ax[0][1].imshow(image, cmap='binary')
ax[0][1].set_xticks([])
ax[0][1].set_yticks([])
ax[0][1].set_title("Scaled, Cropped & Thinned")
ax[1][0].scatter(sample[:,0], sample[:,1], marker='.')
ax[1][0].invert_yaxis()
ax[1][0].set_xticks(np.arange(-1, 1.1))
ax[1][0].set_yticks(np.arange(-1, 1.1))
ax[1][0].set_title('Random Sampling')
sparse_idx = sparse_sample(sample, N_s)
sparse = sample[sparse_idx, :]
ax[1][1].scatter(sparse[:,0], sparse[:,1], marker='.')
ax[1][1].invert_yaxis()
ax[1][1].set_xticks(np.arange(-1, 1.1))
ax[1][1].set_yticks(np.arange(-1, 1.1))
ax[1][1].set_title('Downsampled')
plt.tight_layout()
plt.show()
if __name__ == "__main__":
run() | mit |
yukisakurai/hhana | mva/plotting/mpl.py | 5 | 2144 | import os
from matplotlib import rc
from matplotlib import cm
def package_path(name):
return os.path.splitext(os.path.abspath('latex/%s.sty' % name))[0]
LATEX_PREAMBLE = '''
\usepackage[EULERGREEK]{%s}
\sansmath
''' % package_path('sansmath')
"""
LATEX_PREAMBLE = '''
\usepackage[math-style=upright]{%s}
''' % package_path('unicode-math')
"""
#plt.rcParams['ps.useafm'] = True
#rc('text', usetex=True)
#rc('font', family='sans-serif')
rc('text.latex', preamble=LATEX_PREAMBLE)
#plt.rcParams['pdf.fonttype'] = 42
def set_colors(hists, colors='jet'):
if isinstance(colors, basestring):
colors = cm.get_cmap(colors, len(hists))
if hasattr(colors, '__call__'):
for i, h in enumerate(hists):
color = colors((i + 1) / float(len(hists) + 1))
h.SetColor(color)
else:
for h, color in izip(hists, colors):
h.SetColor(color)
def format_legend(l):
#frame = l.get_frame()
#frame.set_alpha(.8)
#frame.set_fill(False) # eps does not support alpha values
#frame.set_linewidth(0)
for t in l.get_texts():
# left align all contents
t.set_ha('left')
l.get_title().set_ha("left")
def root_axes(ax,
xtick_formatter=None,
xtick_locator=None,
xtick_rotation=None,
logy=False, integer=False, no_xlabels=False,
vscale=1.,
bottom=None):
#ax.patch.set_linewidth(2)
if integer:
ax.xaxis.set_major_locator(
xtick_locator or MultipleLocator(1))
ax.tick_params(axis='x', which='minor',
bottom='off', top='off')
else:
ax.xaxis.set_minor_locator(AutoMinorLocator())
if not logy:
ax.yaxis.set_minor_locator(AutoMinorLocator())
if no_xlabels:
ax.xaxis.set_major_formatter(NullFormatter())
elif xtick_formatter:
ax.xaxis.set_major_formatter(xtick_formatter)
if xtick_rotation is not None:
plt.setp(ax.xaxis.get_majorticklabels(), rotation=xtick_rotation)
ax.yaxis.set_label_coords(-0.13, 1.)
ax.xaxis.set_label_coords(1., -0.15 / vscale)
| gpl-3.0 |
tomchuk/dotfiles | .ipython/profile_default/ipython_config.py | 1 | 20489 | # Configuration file for ipython.
c = get_config()
#------------------------------------------------------------------------------
# InteractiveShellApp configuration
#------------------------------------------------------------------------------
# A Mixin for applications that start InteractiveShell instances.
#
# Provides configurables for loading extensions and executing files as part of
# configuring a Shell environment.
#
# The following methods should be called by the :meth:`initialize` method of the
# subclass:
#
# - :meth:`init_path`
# - :meth:`init_shell` (to be implemented by the subclass)
# - :meth:`init_gui_pylab`
# - :meth:`init_extensions`
# - :meth:`init_code`
# Execute the given command string.
# c.InteractiveShellApp.code_to_run = ''
# Pre-load matplotlib and numpy for interactive use, selecting a particular
# matplotlib backend and loop integration.
# c.InteractiveShellApp.pylab = None
# Run the file referenced by the PYTHONSTARTUP environment variable at IPython
# startup.
# c.InteractiveShellApp.exec_PYTHONSTARTUP = True
# lines of code to run at IPython startup.
# c.InteractiveShellApp.exec_lines = []
# Enable GUI event loop integration with any of ('glut', 'gtk', 'gtk3', 'osx',
# 'pyglet', 'qt', 'qt5', 'tk', 'wx').
# c.InteractiveShellApp.gui = None
# Reraise exceptions encountered loading IPython extensions?
# c.InteractiveShellApp.reraise_ipython_extension_failures = False
# Configure matplotlib for interactive use with the default matplotlib backend.
# c.InteractiveShellApp.matplotlib = None
# If true, IPython will populate the user namespace with numpy, pylab, etc. and
# an ``import *`` is done from numpy and pylab, when using pylab mode.
#
# When False, pylab mode should not import any names into the user namespace.
# c.InteractiveShellApp.pylab_import_all = True
# A list of dotted module names of IPython extensions to load.
#c.InteractiveShellApp.extensions = [
# 'powerline.bindings.ipython.post_0_11'
#]
# Run the module as a script.
# c.InteractiveShellApp.module_to_run = ''
# Should variables loaded at startup (by startup files, exec_lines, etc.) be
# hidden from tools like %who?
# c.InteractiveShellApp.hide_initial_ns = True
# dotted module name of an IPython extension to load.
# c.InteractiveShellApp.extra_extension = ''
# List of files to run at IPython startup.
# c.InteractiveShellApp.exec_files = []
# A file to be run
# c.InteractiveShellApp.file_to_run = ''
#------------------------------------------------------------------------------
# TerminalIPythonApp configuration
#------------------------------------------------------------------------------
# TerminalIPythonApp will inherit config from: BaseIPythonApplication,
# Application, InteractiveShellApp
# Run the file referenced by the PYTHONSTARTUP environment variable at IPython
# startup.
# c.TerminalIPythonApp.exec_PYTHONSTARTUP = True
# Pre-load matplotlib and numpy for interactive use, selecting a particular
# matplotlib backend and loop integration.
# c.TerminalIPythonApp.pylab = None
# Create a massive crash report when IPython encounters what may be an internal
# error. The default is to append a short message to the usual traceback
# c.TerminalIPythonApp.verbose_crash = False
# Run the module as a script.
# c.TerminalIPythonApp.module_to_run = ''
# The date format used by logging formatters for %(asctime)s
# c.TerminalIPythonApp.log_datefmt = '%Y-%m-%d %H:%M:%S'
# Whether to overwrite existing config files when copying
# c.TerminalIPythonApp.overwrite = False
# Execute the given command string.
# c.TerminalIPythonApp.code_to_run = ''
# Set the log level by value or name.
# c.TerminalIPythonApp.log_level = 30
# lines of code to run at IPython startup.
# c.TerminalIPythonApp.exec_lines = []
# Suppress warning messages about legacy config files
# c.TerminalIPythonApp.ignore_old_config = False
# Path to an extra config file to load.
#
# If specified, load this config file in addition to any other IPython config.
# c.TerminalIPythonApp.extra_config_file = u''
# Should variables loaded at startup (by startup files, exec_lines, etc.) be
# hidden from tools like %who?
# c.TerminalIPythonApp.hide_initial_ns = True
# dotted module name of an IPython extension to load.
# c.TerminalIPythonApp.extra_extension = ''
# A file to be run
# c.TerminalIPythonApp.file_to_run = ''
# The IPython profile to use.
# c.TerminalIPythonApp.profile = u'default'
# Configure matplotlib for interactive use with the default matplotlib backend.
# c.TerminalIPythonApp.matplotlib = None
# If a command or file is given via the command-line, e.g. 'ipython foo.py',
# start an interactive shell after executing the file or command.
# c.TerminalIPythonApp.force_interact = False
# If true, IPython will populate the user namespace with numpy, pylab, etc. and
# an ``import *`` is done from numpy and pylab, when using pylab mode.
#
# When False, pylab mode should not import any names into the user namespace.
# c.TerminalIPythonApp.pylab_import_all = True
# The name of the IPython directory. This directory is used for logging
# configuration (through profiles), history storage, etc. The default is usually
# $HOME/.ipython. This option can also be specified through the environment
# variable IPYTHONDIR.
# c.TerminalIPythonApp.ipython_dir = u''
# Whether to display a banner upon starting IPython.
# c.TerminalIPythonApp.display_banner = True
# Whether to install the default config files into the profile dir. If a new
# profile is being created, and IPython contains config files for that profile,
# then they will be staged into the new directory. Otherwise, default config
# files will be automatically generated.
# c.TerminalIPythonApp.copy_config_files = False
# List of files to run at IPython startup.
# c.TerminalIPythonApp.exec_files = []
# Enable GUI event loop integration with any of ('glut', 'gtk', 'gtk3', 'osx',
# 'pyglet', 'qt', 'qt5', 'tk', 'wx').
# c.TerminalIPythonApp.gui = None
# Reraise exceptions encountered loading IPython extensions?
# c.TerminalIPythonApp.reraise_ipython_extension_failures = False
# A list of dotted module names of IPython extensions to load.
# c.TerminalIPythonApp.extensions = []
# Start IPython quickly by skipping the loading of config files.
# c.TerminalIPythonApp.quick = False
# The Logging format template
# c.TerminalIPythonApp.log_format = '[%(name)s]%(highlevel)s %(message)s'
#------------------------------------------------------------------------------
# TerminalInteractiveShell configuration
#------------------------------------------------------------------------------
# TerminalInteractiveShell will inherit config from: InteractiveShell
# auto editing of files with syntax errors.
# c.TerminalInteractiveShell.autoedit_syntax = False
# Use colors for displaying information about objects. Because this information
# is passed through a pager (like 'less'), and some pagers get confused with
# color codes, this capability can be turned off.
# c.TerminalInteractiveShell.color_info = True
# A list of ast.NodeTransformer subclass instances, which will be applied to
# user input before code is run.
# c.TerminalInteractiveShell.ast_transformers = []
#
c.TerminalInteractiveShell.history_length = 1000000
# Don't call post-execute functions that have failed in the past.
# c.TerminalInteractiveShell.disable_failing_post_execute = False
# Show rewritten input, e.g. for autocall.
# c.TerminalInteractiveShell.show_rewritten_input = True
# Set the color scheme (NoColor, Linux, or LightBG).
# c.TerminalInteractiveShell.colors = 'LightBG'
# If True, anything that would be passed to the pager will be displayed as
# regular output instead.
# c.TerminalInteractiveShell.display_page = False
# Autoindent IPython code entered interactively.
c.TerminalInteractiveShell.autoindent = True
#
# c.TerminalInteractiveShell.separate_in = '\n'
# Deprecated, use PromptManager.in2_template
# c.TerminalInteractiveShell.prompt_in2 = ' .\\D.: '
#
# c.TerminalInteractiveShell.separate_out = ''
# Deprecated, use PromptManager.in_template
# c.TerminalInteractiveShell.prompt_in1 = 'In [\\#]: '
# Make IPython automatically call any callable object even if you didn't type
# explicit parentheses. For example, 'str 43' becomes 'str(43)' automatically.
# The value can be '0' to disable the feature, '1' for 'smart' autocall, where
# it is not applied if there are no more arguments on the line, and '2' for
# 'full' autocall, where all callable objects are automatically called (even if
# no arguments are present).
# c.TerminalInteractiveShell.autocall = 0
# Number of lines of your screen, used to control printing of very long strings.
# Strings longer than this number of lines will be sent through a pager instead
# of directly printed. The default value for this is 0, which means IPython
# will auto-detect your screen size every time it needs to print certain
# potentially long strings (this doesn't change the behavior of the 'print'
# keyword, it's only triggered internally). If for some reason this isn't
# working well (it needs curses support), specify it yourself. Otherwise don't
# change the default.
# c.TerminalInteractiveShell.screen_length = 0
# Set the editor used by IPython (default to $EDITOR/vi/notepad).
c.TerminalInteractiveShell.editor = u'vim'
# Deprecated, use PromptManager.justify
# c.TerminalInteractiveShell.prompts_pad_left = True
# The part of the banner to be printed before the profile
# c.TerminalInteractiveShell.banner1 = 'Python 2.7.10 (default, Jun 29 2015, 18:33:04) \nType "copyright", "credits" or "license" for more information.\n\nIPython 3.2.0 -- An enhanced Interactive Python.\n? -> Introduction and overview of IPython\'s features.\n%quickref -> Quick reference.\nhelp -> Python\'s own help system.\nobject? -> Details about \'object\', use \'object??\' for extra details.\n'
#
# c.TerminalInteractiveShell.readline_parse_and_bind = ['tab: complete', '"\\C-l": clear-screen', 'set show-all-if-ambiguous on', '"\\C-o": tab-insert', '"\\C-r": reverse-search-history', '"\\C-s": forward-search-history', '"\\C-p": history-search-backward', '"\\C-n": history-search-forward', '"\\e[A": history-search-backward', '"\\e[B": history-search-forward', '"\\C-k": kill-line', '"\\C-u": unix-line-discard']
# The part of the banner to be printed after the profile
# c.TerminalInteractiveShell.banner2 = ''
#
# c.TerminalInteractiveShell.separate_out2 = ''
#
# c.TerminalInteractiveShell.wildcards_case_sensitive = True
#
# c.TerminalInteractiveShell.debug = False
# Set to confirm when you try to exit IPython with an EOF (Control-D in Unix,
# Control-Z/Enter in Windows). By typing 'exit' or 'quit', you can force a
# direct exit without any confirmation.
c.TerminalInteractiveShell.confirm_exit = False
#
# c.TerminalInteractiveShell.ipython_dir = ''
#
# c.TerminalInteractiveShell.readline_remove_delims = '-/~'
# Start logging to the default log file in overwrite mode. Use `logappend` to
# specify a log file to **append** logs to.
# c.TerminalInteractiveShell.logstart = False
# The name of the logfile to use.
# c.TerminalInteractiveShell.logfile = ''
# The shell program to be used for paging.
# c.TerminalInteractiveShell.pager = 'less'
# Enable magic commands to be called without the leading %.
# c.TerminalInteractiveShell.automagic = True
# Save multi-line entries as one entry in readline history
# c.TerminalInteractiveShell.multiline_history = True
#
# c.TerminalInteractiveShell.readline_use = True
# Enable deep (recursive) reloading by default. IPython can use the deep_reload
# module which reloads changes in modules recursively (it replaces the reload()
# function, so you don't need to change anything to use it). deep_reload()
# forces a full reload of modules whose code may have changed, which the default
# reload() function does not. When deep_reload is off, IPython will use the
# normal reload(), but deep_reload will still be available as dreload().
c.TerminalInteractiveShell.deep_reload = True
# Start logging to the given file in append mode. Use `logfile` to specify a log
# file to **overwrite** logs to.
# c.TerminalInteractiveShell.logappend = ''
#
# c.TerminalInteractiveShell.xmode = 'Context'
#
# c.TerminalInteractiveShell.quiet = False
# Enable auto setting the terminal title.
c.TerminalInteractiveShell.term_title = True
#
# c.TerminalInteractiveShell.object_info_string_level = 0
# Deprecated, use PromptManager.out_template
# c.TerminalInteractiveShell.prompt_out = 'Out[\\#]: '
# Set the size of the output cache. The default is 1000, you can change it
# permanently in your config file. Setting it to 0 completely disables the
# caching system, and the minimum value accepted is 20 (if you provide a value
# less than 20, it is reset to 0 and a warning is issued). This limit is
# defined because otherwise you'll spend more time re-flushing a too small cache
# than working
# c.TerminalInteractiveShell.cache_size = 1000
# 'all', 'last', 'last_expr' or 'none', specifying which nodes should be run
# interactively (displaying output from expressions).
# c.TerminalInteractiveShell.ast_node_interactivity = 'last_expr'
# Automatically call the pdb debugger after every exception.
# c.TerminalInteractiveShell.pdb = False
c.TerminalInteractiveShell.editing_mode = 'vi'
#------------------------------------------------------------------------------
# PromptManager configuration
#------------------------------------------------------------------------------
# This is the primary interface for producing IPython's prompts.
# Output prompt. '\#' will be transformed to the prompt number
# c.PromptManager.out_template = 'Out[\\#]: '
# Continuation prompt.
# c.PromptManager.in2_template = ' .\\D.: '
# If True (default), each prompt will be right-aligned with the preceding one.
# c.PromptManager.justify = True
# Input prompt. '\#' will be transformed to the prompt number
# c.PromptManager.in_template = 'In [\\#]: '
#
# c.PromptManager.color_scheme = 'Linux'
#------------------------------------------------------------------------------
# HistoryManager configuration
#------------------------------------------------------------------------------
# A class to organize all history-related functionality in one place.
# HistoryManager will inherit config from: HistoryAccessor
# Should the history database include output? (default: no)
# c.HistoryManager.db_log_output = False
# Write to database every x commands (higher values save disk access & power).
# Values of 1 or less effectively disable caching.
# c.HistoryManager.db_cache_size = 0
# Path to file to use for SQLite history database.
#
# By default, IPython will put the history database in the IPython profile
# directory. If you would rather share one history among profiles, you can set
# this value in each, so that they are consistent.
#
# Due to an issue with fcntl, SQLite is known to misbehave on some NFS mounts.
# If you see IPython hanging, try setting this to something on a local disk,
# e.g::
#
# ipython --HistoryManager.hist_file=/tmp/ipython_hist.sqlite
# c.HistoryManager.hist_file = u''
# Options for configuring the SQLite connection
#
# These options are passed as keyword args to sqlite3.connect when establishing
# database conenctions.
# c.HistoryManager.connection_options = {}
# enable the SQLite history
#
# set enabled=False to disable the SQLite history, in which case there will be
# no stored history, no SQLite connection, and no background saving thread.
# This may be necessary in some threaded environments where IPython is embedded.
# c.HistoryManager.enabled = True
#------------------------------------------------------------------------------
# ProfileDir configuration
#------------------------------------------------------------------------------
# An object to manage the profile directory and its resources.
#
# The profile directory is used by all IPython applications, to manage
# configuration, logging and security.
#
# This object knows how to find, create and manage these directories. This
# should be used by any code that wants to handle profiles.
# Set the profile location directly. This overrides the logic used by the
# `profile` option.
# c.ProfileDir.location = u''
#------------------------------------------------------------------------------
# PlainTextFormatter configuration
#------------------------------------------------------------------------------
# The default pretty-printer.
#
# This uses :mod:`IPython.lib.pretty` to compute the format data of the object.
# If the object cannot be pretty printed, :func:`repr` is used. See the
# documentation of :mod:`IPython.lib.pretty` for details on how to write pretty
# printers. Here is a simple example::
#
# def dtype_pprinter(obj, p, cycle):
# if cycle:
# return p.text('dtype(...)')
# if hasattr(obj, 'fields'):
# if obj.fields is None:
# p.text(repr(obj))
# else:
# p.begin_group(7, 'dtype([')
# for i, field in enumerate(obj.descr):
# if i > 0:
# p.text(',')
# p.breakable()
# p.pretty(field)
# p.end_group(7, '])')
# PlainTextFormatter will inherit config from: BaseFormatter
#
# c.PlainTextFormatter.type_printers = {}
# Truncate large collections (lists, dicts, tuples, sets) to this size.
#
# Set to 0 to disable truncation.
# c.PlainTextFormatter.max_seq_length = 1000
#
# c.PlainTextFormatter.float_precision = ''
#
c.PlainTextFormatter.verbose = False
#
# c.PlainTextFormatter.deferred_printers = {}
#
# c.PlainTextFormatter.newline = '\n'
#
# c.PlainTextFormatter.max_width = 99
#
c.PlainTextFormatter.pprint = True
#
# c.PlainTextFormatter.singleton_printers = {}
#------------------------------------------------------------------------------
# IPCompleter configuration
#------------------------------------------------------------------------------
# Extension of the completer class with IPython-specific features
# IPCompleter will inherit config from: Completer
# Instruct the completer to omit private method names
#
# Specifically, when completing on ``object.<tab>``.
#
# When 2 [default]: all names that start with '_' will be excluded.
#
# When 1: all 'magic' names (``__foo__``) will be excluded.
#
# When 0: nothing will be excluded.
# c.IPCompleter.omit__names = 2
# Whether to merge completion results into a single list
#
# If False, only the completion results from the first non-empty completer will
# be returned.
# c.IPCompleter.merge_completions = True
# Instruct the completer to use __all__ for the completion
#
# Specifically, when completing on ``object.<tab>``.
#
# When True: only those names in obj.__all__ will be included.
#
# When False [default]: the __all__ attribute is ignored
# c.IPCompleter.limit_to__all__ = False
# Activate greedy completion
#
# This will enable completion on elements of lists, results of function calls,
# etc., but can be unsafe because the code is actually evaluated on TAB.
# c.IPCompleter.greedy = False
#------------------------------------------------------------------------------
# ScriptMagics configuration
#------------------------------------------------------------------------------
# Magics for talking to scripts
#
# This defines a base `%%script` cell magic for running a cell with a program in
# a subprocess, and registers a few top-level magics that call %%script with
# common interpreters.
# Extra script cell magics to define
#
# This generates simple wrappers of `%%script foo` as `%%foo`.
#
# If you want to add script magics that aren't on your path, specify them in
# script_paths
# c.ScriptMagics.script_magics = []
# Dict mapping short 'ruby' names to full paths, such as '/opt/secret/bin/ruby'
#
# Only necessary for items in script_magics where the default path will not find
# the right interpreter.
# c.ScriptMagics.script_paths = {}
#------------------------------------------------------------------------------
# StoreMagics configuration
#------------------------------------------------------------------------------
# Lightweight persistence for python variables.
#
# Provides the %store magic.
# If True, any %store-d variables will be automatically restored when IPython
# starts.
c.StoreMagics.autorestore = True
| mit |
zrhans/pythonanywhere | .virtualenvs/django19/lib/python3.4/site-packages/matplotlib/pyplot.py | 4 | 123649 | # Note: The first part of this file can be modified in place, but the latter
# part is autogenerated by the boilerplate.py script.
"""
Provides a MATLAB-like plotting framework.
:mod:`~matplotlib.pylab` combines pyplot with numpy into a single namespace.
This is convenient for interactive work, but for programming it
is recommended that the namespaces be kept separate, e.g.::
import numpy as np
import matplotlib.pyplot as plt
x = np.arange(0, 5, 0.1);
y = np.sin(x)
plt.plot(x, y)
"""
from __future__ import (absolute_import, division, print_function,
unicode_literals)
from matplotlib.externals import six
import sys
import warnings
import types
from cycler import cycler
import matplotlib
import matplotlib.colorbar
from matplotlib import style
from matplotlib import _pylab_helpers, interactive
from matplotlib.cbook import dedent, silent_list, is_string_like, is_numlike
from matplotlib.cbook import _string_to_bool
from matplotlib import docstring
from matplotlib.backend_bases import FigureCanvasBase
from matplotlib.figure import Figure, figaspect
from matplotlib.gridspec import GridSpec
from matplotlib.image import imread as _imread
from matplotlib.image import imsave as _imsave
from matplotlib import rcParams, rcParamsDefault, get_backend
from matplotlib import rc_context
from matplotlib.rcsetup import interactive_bk as _interactive_bk
from matplotlib.artist import getp, get, Artist
from matplotlib.artist import setp as _setp
from matplotlib.axes import Axes, Subplot
from matplotlib.projections import PolarAxes
from matplotlib import mlab # for csv2rec, detrend_none, window_hanning
from matplotlib.scale import get_scale_docs, get_scale_names
from matplotlib import cm
from matplotlib.cm import get_cmap, register_cmap
import numpy as np
# We may not need the following imports here:
from matplotlib.colors import Normalize
from matplotlib.lines import Line2D
from matplotlib.text import Text, Annotation
from matplotlib.patches import Polygon, Rectangle, Circle, Arrow
from matplotlib.widgets import SubplotTool, Button, Slider, Widget
from .ticker import TickHelper, Formatter, FixedFormatter, NullFormatter,\
FuncFormatter, FormatStrFormatter, ScalarFormatter,\
LogFormatter, LogFormatterExponent, LogFormatterMathtext,\
Locator, IndexLocator, FixedLocator, NullLocator,\
LinearLocator, LogLocator, AutoLocator, MultipleLocator,\
MaxNLocator
## Backend detection ##
def _backend_selection():
""" If rcParams['backend_fallback'] is true, check to see if the
current backend is compatible with the current running event
loop, and if not switches to a compatible one.
"""
backend = rcParams['backend']
if not rcParams['backend_fallback'] or \
backend not in _interactive_bk:
return
is_agg_backend = rcParams['backend'].endswith('Agg')
if 'wx' in sys.modules and not backend in ('WX', 'WXAgg'):
import wx
if wx.App.IsMainLoopRunning():
rcParams['backend'] = 'wx' + 'Agg' * is_agg_backend
elif 'PyQt4.QtCore' in sys.modules and not backend == 'Qt4Agg':
import PyQt4.QtGui
if not PyQt4.QtGui.qApp.startingUp():
# The mainloop is running.
rcParams['backend'] = 'qt4Agg'
elif 'PyQt5.QtCore' in sys.modules and not backend == 'Qt5Agg':
import PyQt5.QtWidgets
if not PyQt5.QtWidgets.qApp.startingUp():
# The mainloop is running.
rcParams['backend'] = 'qt5Agg'
elif ('gtk' in sys.modules and
backend not in ('GTK', 'GTKAgg', 'GTKCairo')):
if 'gi' in sys.modules:
from gi.repository import GObject
ml = GObject.MainLoop
else:
import gobject
ml = gobject.MainLoop
if ml().is_running():
rcParams['backend'] = 'gtk' + 'Agg' * is_agg_backend
elif 'Tkinter' in sys.modules and not backend == 'TkAgg':
# import Tkinter
pass # what if anything do we need to do for tkinter?
_backend_selection()
## Global ##
from matplotlib.backends import pylab_setup
_backend_mod, new_figure_manager, draw_if_interactive, _show = pylab_setup()
_IP_REGISTERED = None
_INSTALL_FIG_OBSERVER = False
def install_repl_displayhook():
"""
Install a repl display hook so that any stale figure are automatically
redrawn when control is returned to the repl.
This works with both IPython terminals and vanilla python shells.
"""
global _IP_REGISTERED
global _INSTALL_FIG_OBSERVER
class _NotIPython(Exception):
pass
# see if we have IPython hooks around, if use them
try:
if 'IPython' in sys.modules:
from IPython import get_ipython
ip = get_ipython()
if ip is None:
raise _NotIPython()
if _IP_REGISTERED:
return
def post_execute():
if matplotlib.is_interactive():
draw_all()
# IPython >= 2
try:
ip.events.register('post_execute', post_execute)
except AttributeError:
# IPython 1.x
ip.register_post_execute(post_execute)
_IP_REGISTERED = post_execute
_INSTALL_FIG_OBSERVER = False
else:
_INSTALL_FIG_OBSERVER = True
# import failed or ipython is not running
except (ImportError, _NotIPython):
_INSTALL_FIG_OBSERVER = True
def uninstall_repl_displayhook():
"""
Uninstalls the matplotlib display hook.
.. warning
Need IPython >= 2 for this to work. For IPython < 2 will raise a
``NotImplementedError``
.. warning
If you are using vanilla python and have installed another
display hook this will reset ``sys.displayhook`` to what ever
function was there when matplotlib installed it's displayhook,
possibly discarding your changes.
"""
global _IP_REGISTERED
global _INSTALL_FIG_OBSERVER
if _IP_REGISTERED:
from IPython import get_ipython
ip = get_ipython()
try:
ip.events.unregister('post_execute', _IP_REGISTERED)
except AttributeError:
raise NotImplementedError("Can not unregister events "
"in IPython < 2.0")
_IP_REGISTERED = None
if _INSTALL_FIG_OBSERVER:
_INSTALL_FIG_OBSERVER = False
draw_all = _pylab_helpers.Gcf.draw_all
@docstring.copy_dedent(Artist.findobj)
def findobj(o=None, match=None, include_self=True):
if o is None:
o = gcf()
return o.findobj(match, include_self=include_self)
def switch_backend(newbackend):
"""
Switch the default backend. This feature is **experimental**, and
is only expected to work switching to an image backend. e.g., if
you have a bunch of PostScript scripts that you want to run from
an interactive ipython session, you may want to switch to the PS
backend before running them to avoid having a bunch of GUI windows
popup. If you try to interactively switch from one GUI backend to
another, you will explode.
Calling this command will close all open windows.
"""
close('all')
global _backend_mod, new_figure_manager, draw_if_interactive, _show
matplotlib.use(newbackend, warn=False, force=True)
from matplotlib.backends import pylab_setup
_backend_mod, new_figure_manager, draw_if_interactive, _show = pylab_setup()
def show(*args, **kw):
"""
Display a figure.
When running in ipython with its pylab mode, display all
figures and return to the ipython prompt.
In non-interactive mode, display all figures and block until
the figures have been closed; in interactive mode it has no
effect unless figures were created prior to a change from
non-interactive to interactive mode (not recommended). In
that case it displays the figures but does not block.
A single experimental keyword argument, *block*, may be
set to True or False to override the blocking behavior
described above.
"""
global _show
return _show(*args, **kw)
def isinteractive():
"""
Return status of interactive mode.
"""
return matplotlib.is_interactive()
def ioff():
'Turn interactive mode off.'
matplotlib.interactive(False)
uninstall_repl_displayhook()
def ion():
'Turn interactive mode on.'
matplotlib.interactive(True)
install_repl_displayhook()
def pause(interval):
"""
Pause for *interval* seconds.
If there is an active figure it will be updated and displayed,
and the GUI event loop will run during the pause.
If there is no active figure, or if a non-interactive backend
is in use, this executes time.sleep(interval).
This can be used for crude animation. For more complex
animation, see :mod:`matplotlib.animation`.
This function is experimental; its behavior may be changed
or extended in a future release.
"""
backend = rcParams['backend']
if backend in _interactive_bk:
figManager = _pylab_helpers.Gcf.get_active()
if figManager is not None:
canvas = figManager.canvas
if canvas.figure.stale:
canvas.draw()
show(block=False)
canvas.start_event_loop(interval)
return
# No on-screen figure is active, so sleep() is all we need.
import time
time.sleep(interval)
@docstring.copy_dedent(matplotlib.rc)
def rc(*args, **kwargs):
matplotlib.rc(*args, **kwargs)
@docstring.copy_dedent(matplotlib.rc_context)
def rc_context(rc=None, fname=None):
return matplotlib.rc_context(rc, fname)
@docstring.copy_dedent(matplotlib.rcdefaults)
def rcdefaults():
matplotlib.rcdefaults()
if matplotlib.is_interactive():
draw_all()
# The current "image" (ScalarMappable) is retrieved or set
# only via the pyplot interface using the following two
# functions:
def gci():
"""
Get the current colorable artist. Specifically, returns the
current :class:`~matplotlib.cm.ScalarMappable` instance (image or
patch collection), or *None* if no images or patch collections
have been defined. The commands :func:`~matplotlib.pyplot.imshow`
and :func:`~matplotlib.pyplot.figimage` create
:class:`~matplotlib.image.Image` instances, and the commands
:func:`~matplotlib.pyplot.pcolor` and
:func:`~matplotlib.pyplot.scatter` create
:class:`~matplotlib.collections.Collection` instances. The
current image is an attribute of the current axes, or the nearest
earlier axes in the current figure that contains an image.
"""
return gcf()._gci()
def sci(im):
"""
Set the current image. This image will be the target of colormap
commands like :func:`~matplotlib.pyplot.jet`,
:func:`~matplotlib.pyplot.hot` or
:func:`~matplotlib.pyplot.clim`). The current image is an
attribute of the current axes.
"""
gca()._sci(im)
## Any Artist ##
# (getp is simply imported)
@docstring.copy(_setp)
def setp(*args, **kwargs):
return _setp(*args, **kwargs)
def xkcd(scale=1, length=100, randomness=2):
"""
Turns on `xkcd <http://xkcd.com/>`_ sketch-style drawing mode.
This will only have effect on things drawn after this function is
called.
For best results, the "Humor Sans" font should be installed: it is
not included with matplotlib.
Parameters
----------
scale : float, optional
The amplitude of the wiggle perpendicular to the source line.
length : float, optional
The length of the wiggle along the line.
randomness : float, optional
The scale factor by which the length is shrunken or expanded.
Notes
-----
This function works by a number of rcParams, so it will probably
override others you have set before.
If you want the effects of this function to be temporary, it can
be used as a context manager, for example::
with plt.xkcd():
# This figure will be in XKCD-style
fig1 = plt.figure()
# ...
# This figure will be in regular style
fig2 = plt.figure()
"""
if rcParams['text.usetex']:
raise RuntimeError(
"xkcd mode is not compatible with text.usetex = True")
from matplotlib import patheffects
context = rc_context()
try:
rcParams['font.family'] = ['Humor Sans', 'Comic Sans MS']
rcParams['font.size'] = 14.0
rcParams['path.sketch'] = (scale, length, randomness)
rcParams['path.effects'] = [
patheffects.withStroke(linewidth=4, foreground="w")]
rcParams['axes.linewidth'] = 1.5
rcParams['lines.linewidth'] = 2.0
rcParams['figure.facecolor'] = 'white'
rcParams['grid.linewidth'] = 0.0
rcParams['axes.grid'] = False
rcParams['axes.unicode_minus'] = False
rcParams['axes.prop_cycle'] = cycler('color', ['b', 'r', 'c', 'm'])
rcParams['axes.edgecolor'] = 'black'
rcParams['xtick.major.size'] = 8
rcParams['xtick.major.width'] = 3
rcParams['ytick.major.size'] = 8
rcParams['ytick.major.width'] = 3
except:
context.__exit__(*sys.exc_info())
raise
return context
## Figures ##
def figure(num=None, # autoincrement if None, else integer from 1-N
figsize=None, # defaults to rc figure.figsize
dpi=None, # defaults to rc figure.dpi
facecolor=None, # defaults to rc figure.facecolor
edgecolor=None, # defaults to rc figure.edgecolor
frameon=True,
FigureClass=Figure,
**kwargs
):
"""
Creates a new figure.
Parameters
----------
num : integer or string, optional, default: none
If not provided, a new figure will be created, and the figure number
will be incremented. The figure objects holds this number in a `number`
attribute.
If num is provided, and a figure with this id already exists, make
it active, and returns a reference to it. If this figure does not
exists, create it and returns it.
If num is a string, the window title will be set to this figure's
`num`.
figsize : tuple of integers, optional, default: None
width, height in inches. If not provided, defaults to rc
figure.figsize.
dpi : integer, optional, default: None
resolution of the figure. If not provided, defaults to rc figure.dpi.
facecolor :
the background color. If not provided, defaults to rc figure.facecolor
edgecolor :
the border color. If not provided, defaults to rc figure.edgecolor
Returns
-------
figure : Figure
The Figure instance returned will also be passed to new_figure_manager
in the backends, which allows to hook custom Figure classes into the
pylab interface. Additional kwargs will be passed to the figure init
function.
Notes
-----
If you are creating many figures, make sure you explicitly call "close"
on the figures you are not using, because this will enable pylab
to properly clean up the memory.
rcParams defines the default values, which can be modified in the
matplotlibrc file
"""
if figsize is None:
figsize = rcParams['figure.figsize']
if dpi is None:
dpi = rcParams['figure.dpi']
if facecolor is None:
facecolor = rcParams['figure.facecolor']
if edgecolor is None:
edgecolor = rcParams['figure.edgecolor']
allnums = get_fignums()
next_num = max(allnums) + 1 if allnums else 1
figLabel = ''
if num is None:
num = next_num
elif is_string_like(num):
figLabel = num
allLabels = get_figlabels()
if figLabel not in allLabels:
if figLabel == 'all':
warnings.warn("close('all') closes all existing figures")
num = next_num
else:
inum = allLabels.index(figLabel)
num = allnums[inum]
else:
num = int(num) # crude validation of num argument
figManager = _pylab_helpers.Gcf.get_fig_manager(num)
if figManager is None:
max_open_warning = rcParams['figure.max_open_warning']
if (max_open_warning >= 1 and len(allnums) >= max_open_warning):
warnings.warn(
"More than %d figures have been opened. Figures "
"created through the pyplot interface "
"(`matplotlib.pyplot.figure`) are retained until "
"explicitly closed and may consume too much memory. "
"(To control this warning, see the rcParam "
"`figure.max_open_warning`)." %
max_open_warning, RuntimeWarning)
if get_backend().lower() == 'ps':
dpi = 72
figManager = new_figure_manager(num, figsize=figsize,
dpi=dpi,
facecolor=facecolor,
edgecolor=edgecolor,
frameon=frameon,
FigureClass=FigureClass,
**kwargs)
if figLabel:
figManager.set_window_title(figLabel)
figManager.canvas.figure.set_label(figLabel)
# make this figure current on button press event
def make_active(event):
_pylab_helpers.Gcf.set_active(figManager)
cid = figManager.canvas.mpl_connect('button_press_event', make_active)
figManager._cidgcf = cid
_pylab_helpers.Gcf.set_active(figManager)
fig = figManager.canvas.figure
fig.number = num
# make sure backends (inline) that we don't ship that expect this
# to be called in plotting commands to make the figure call show
# still work. There is probably a better way to do this in the
# FigureManager base class.
if matplotlib.is_interactive():
draw_if_interactive()
if _INSTALL_FIG_OBSERVER:
fig.stale_callback = _auto_draw_if_interactive
return figManager.canvas.figure
def _auto_draw_if_interactive(fig, val):
"""
This is an internal helper function for making sure that auto-redrawing
works as intended in the plain python repl.
Parameters
----------
fig : Figure
A figure object which is assumed to be associated with a canvas
"""
if val and matplotlib.is_interactive() and not fig.canvas.is_saving():
fig.canvas.draw_idle()
def gcf():
"Get a reference to the current figure."
figManager = _pylab_helpers.Gcf.get_active()
if figManager is not None:
return figManager.canvas.figure
else:
return figure()
def fignum_exists(num):
return _pylab_helpers.Gcf.has_fignum(num) or num in get_figlabels()
def get_fignums():
"""Return a list of existing figure numbers."""
fignums = list(six.iterkeys(_pylab_helpers.Gcf.figs))
fignums.sort()
return fignums
def get_figlabels():
"Return a list of existing figure labels."
figManagers = _pylab_helpers.Gcf.get_all_fig_managers()
figManagers.sort(key=lambda m: m.num)
return [m.canvas.figure.get_label() for m in figManagers]
def get_current_fig_manager():
figManager = _pylab_helpers.Gcf.get_active()
if figManager is None:
gcf() # creates an active figure as a side effect
figManager = _pylab_helpers.Gcf.get_active()
return figManager
@docstring.copy_dedent(FigureCanvasBase.mpl_connect)
def connect(s, func):
return get_current_fig_manager().canvas.mpl_connect(s, func)
@docstring.copy_dedent(FigureCanvasBase.mpl_disconnect)
def disconnect(cid):
return get_current_fig_manager().canvas.mpl_disconnect(cid)
def close(*args):
"""
Close a figure window.
``close()`` by itself closes the current figure
``close(h)`` where *h* is a :class:`Figure` instance, closes that figure
``close(num)`` closes figure number *num*
``close(name)`` where *name* is a string, closes figure with that label
``close('all')`` closes all the figure windows
"""
if len(args) == 0:
figManager = _pylab_helpers.Gcf.get_active()
if figManager is None:
return
else:
_pylab_helpers.Gcf.destroy(figManager.num)
elif len(args) == 1:
arg = args[0]
if arg == 'all':
_pylab_helpers.Gcf.destroy_all()
elif isinstance(arg, six.integer_types):
_pylab_helpers.Gcf.destroy(arg)
elif hasattr(arg, 'int'):
# if we are dealing with a type UUID, we
# can use its integer representation
_pylab_helpers.Gcf.destroy(arg.int)
elif is_string_like(arg):
allLabels = get_figlabels()
if arg in allLabels:
num = get_fignums()[allLabels.index(arg)]
_pylab_helpers.Gcf.destroy(num)
elif isinstance(arg, Figure):
_pylab_helpers.Gcf.destroy_fig(arg)
else:
raise TypeError('Unrecognized argument type %s to close' % type(arg))
else:
raise TypeError('close takes 0 or 1 arguments')
def clf():
"""
Clear the current figure.
"""
gcf().clf()
def draw():
"""Redraw the current figure.
This is used in interactive mode to update a figure that has been
altered, but not automatically re-drawn. This should be only rarely
needed, but there may be ways to modify the state of a figure with
out marking it as `stale`. Please report these cases as bugs.
A more object-oriented alternative, given any
:class:`~matplotlib.figure.Figure` instance, :attr:`fig`, that
was created using a :mod:`~matplotlib.pyplot` function, is::
fig.canvas.draw_idle()
"""
get_current_fig_manager().canvas.draw_idle()
@docstring.copy_dedent(Figure.savefig)
def savefig(*args, **kwargs):
fig = gcf()
res = fig.savefig(*args, **kwargs)
fig.canvas.draw_idle() # need this if 'transparent=True' to reset colors
return res
@docstring.copy_dedent(Figure.ginput)
def ginput(*args, **kwargs):
"""
Blocking call to interact with the figure.
This will wait for *n* clicks from the user and return a list of the
coordinates of each click.
If *timeout* is negative, does not timeout.
"""
return gcf().ginput(*args, **kwargs)
@docstring.copy_dedent(Figure.waitforbuttonpress)
def waitforbuttonpress(*args, **kwargs):
"""
Blocking call to interact with the figure.
This will wait for *n* key or mouse clicks from the user and
return a list containing True's for keyboard clicks and False's
for mouse clicks.
If *timeout* is negative, does not timeout.
"""
return gcf().waitforbuttonpress(*args, **kwargs)
# Putting things in figures
@docstring.copy_dedent(Figure.text)
def figtext(*args, **kwargs):
return gcf().text(*args, **kwargs)
@docstring.copy_dedent(Figure.suptitle)
def suptitle(*args, **kwargs):
return gcf().suptitle(*args, **kwargs)
@docstring.Appender("Addition kwargs: hold = [True|False] overrides default hold state", "\n")
@docstring.copy_dedent(Figure.figimage)
def figimage(*args, **kwargs):
# allow callers to override the hold state by passing hold=True|False
#sci(ret) # JDH figimage should not set current image -- it is not mappable, etc
return gcf().figimage(*args, **kwargs)
def figlegend(handles, labels, loc, **kwargs):
"""
Place a legend in the figure.
*labels*
a sequence of strings
*handles*
a sequence of :class:`~matplotlib.lines.Line2D` or
:class:`~matplotlib.patches.Patch` instances
*loc*
can be a string or an integer specifying the legend
location
A :class:`matplotlib.legend.Legend` instance is returned.
Example::
figlegend( (line1, line2, line3),
('label1', 'label2', 'label3'),
'upper right' )
.. seealso::
:func:`~matplotlib.pyplot.legend`
"""
return gcf().legend(handles, labels, loc, **kwargs)
## Figure and Axes hybrid ##
def hold(b=None):
"""
Set the hold state. If *b* is None (default), toggle the
hold state, else set the hold state to boolean value *b*::
hold() # toggle hold
hold(True) # hold is on
hold(False) # hold is off
When *hold* is *True*, subsequent plot commands will be added to
the current axes. When *hold* is *False*, the current axes and
figure will be cleared on the next plot command.
"""
fig = gcf()
ax = fig.gca()
fig.hold(b)
ax.hold(b)
# b=None toggles the hold state, so let's get get the current hold
# state; but should pyplot hold toggle the rc setting - me thinks
# not
b = ax.ishold()
rc('axes', hold=b)
def ishold():
"""
Return the hold status of the current axes.
"""
return gca().ishold()
def over(func, *args, **kwargs):
"""
Call a function with hold(True).
Calls::
func(*args, **kwargs)
with ``hold(True)`` and then restores the hold state.
"""
h = ishold()
hold(True)
func(*args, **kwargs)
hold(h)
## Axes ##
def axes(*args, **kwargs):
"""
Add an axes to the figure.
The axes is added at position *rect* specified by:
- ``axes()`` by itself creates a default full ``subplot(111)`` window axis.
- ``axes(rect, axisbg='w')`` where *rect* = [left, bottom, width,
height] in normalized (0, 1) units. *axisbg* is the background
color for the axis, default white.
- ``axes(h)`` where *h* is an axes instance makes *h* the current
axis. An :class:`~matplotlib.axes.Axes` instance is returned.
======= ============== ==============================================
kwarg Accepts Description
======= ============== ==============================================
axisbg color the axes background color
frameon [True|False] display the frame?
sharex otherax current axes shares xaxis attribute
with otherax
sharey otherax current axes shares yaxis attribute
with otherax
polar [True|False] use a polar axes?
aspect [str | num] ['equal', 'auto'] or a number. If a number
the ratio of x-unit/y-unit in screen-space.
Also see
:meth:`~matplotlib.axes.Axes.set_aspect`.
======= ============== ==============================================
Examples:
* :file:`examples/pylab_examples/axes_demo.py` places custom axes.
* :file:`examples/pylab_examples/shared_axis_demo.py` uses
*sharex* and *sharey*.
"""
nargs = len(args)
if len(args) == 0:
return subplot(111, **kwargs)
if nargs > 1:
raise TypeError('Only one non keyword arg to axes allowed')
arg = args[0]
if isinstance(arg, Axes):
a = gcf().sca(arg)
else:
rect = arg
a = gcf().add_axes(rect, **kwargs)
return a
def delaxes(*args):
"""
Remove an axes from the current figure. If *ax*
doesn't exist, an error will be raised.
``delaxes()``: delete the current axes
"""
if not len(args):
ax = gca()
else:
ax = args[0]
ret = gcf().delaxes(ax)
return ret
def sca(ax):
"""
Set the current Axes instance to *ax*.
The current Figure is updated to the parent of *ax*.
"""
managers = _pylab_helpers.Gcf.get_all_fig_managers()
for m in managers:
if ax in m.canvas.figure.axes:
_pylab_helpers.Gcf.set_active(m)
m.canvas.figure.sca(ax)
return
raise ValueError("Axes instance argument was not found in a figure.")
def gca(**kwargs):
"""
Get the current :class:`~matplotlib.axes.Axes` instance on the
current figure matching the given keyword args, or create one.
Examples
---------
To get the current polar axes on the current figure::
plt.gca(projection='polar')
If the current axes doesn't exist, or isn't a polar one, the appropriate
axes will be created and then returned.
See Also
--------
matplotlib.figure.Figure.gca : The figure's gca method.
"""
return gcf().gca(**kwargs)
# More ways of creating axes:
def subplot(*args, **kwargs):
"""
Return a subplot axes positioned by the given grid definition.
Typical call signature::
subplot(nrows, ncols, plot_number)
Where *nrows* and *ncols* are used to notionally split the figure
into ``nrows * ncols`` sub-axes, and *plot_number* is used to identify
the particular subplot that this function is to create within the notional
grid. *plot_number* starts at 1, increments across rows first and has a
maximum of ``nrows * ncols``.
In the case when *nrows*, *ncols* and *plot_number* are all less than 10,
a convenience exists, such that the a 3 digit number can be given instead,
where the hundreds represent *nrows*, the tens represent *ncols* and the
units represent *plot_number*. For instance::
subplot(211)
produces a subaxes in a figure which represents the top plot (i.e. the
first) in a 2 row by 1 column notional grid (no grid actually exists,
but conceptually this is how the returned subplot has been positioned).
.. note::
Creating a new subplot with a position which is entirely inside a
pre-existing axes will trigger the larger axes to be deleted::
import matplotlib.pyplot as plt
# plot a line, implicitly creating a subplot(111)
plt.plot([1,2,3])
# now create a subplot which represents the top plot of a grid
# with 2 rows and 1 column. Since this subplot will overlap the
# first, the plot (and its axes) previously created, will be removed
plt.subplot(211)
plt.plot(range(12))
plt.subplot(212, axisbg='y') # creates 2nd subplot with yellow background
If you do not want this behavior, use the
:meth:`~matplotlib.figure.Figure.add_subplot` method or the
:func:`~matplotlib.pyplot.axes` function instead.
Keyword arguments:
*axisbg*:
The background color of the subplot, which can be any valid
color specifier. See :mod:`matplotlib.colors` for more
information.
*polar*:
A boolean flag indicating whether the subplot plot should be
a polar projection. Defaults to *False*.
*projection*:
A string giving the name of a custom projection to be used
for the subplot. This projection must have been previously
registered. See :mod:`matplotlib.projections`.
.. seealso::
:func:`~matplotlib.pyplot.axes`
For additional information on :func:`axes` and
:func:`subplot` keyword arguments.
:file:`examples/pie_and_polar_charts/polar_scatter_demo.py`
For an example
**Example:**
.. plot:: mpl_examples/subplots_axes_and_figures/subplot_demo.py
"""
# if subplot called without arguments, create subplot(1,1,1)
if len(args)==0:
args=(1,1,1)
# This check was added because it is very easy to type
# subplot(1, 2, False) when subplots(1, 2, False) was intended
# (sharex=False, that is). In most cases, no error will
# ever occur, but mysterious behavior can result because what was
# intended to be the sharex argument is instead treated as a
# subplot index for subplot()
if len(args) >= 3 and isinstance(args[2], bool) :
warnings.warn("The subplot index argument to subplot() appears"
" to be a boolean. Did you intend to use subplots()?")
fig = gcf()
a = fig.add_subplot(*args, **kwargs)
bbox = a.bbox
byebye = []
for other in fig.axes:
if other==a: continue
if bbox.fully_overlaps(other.bbox):
byebye.append(other)
for ax in byebye: delaxes(ax)
return a
def subplots(nrows=1, ncols=1, sharex=False, sharey=False, squeeze=True,
subplot_kw=None, gridspec_kw=None, **fig_kw):
"""
Create a figure with a set of subplots already made.
This utility wrapper makes it convenient to create common layouts of
subplots, including the enclosing figure object, in a single call.
Keyword arguments:
*nrows* : int
Number of rows of the subplot grid. Defaults to 1.
*ncols* : int
Number of columns of the subplot grid. Defaults to 1.
*sharex* : string or bool
If *True*, the X axis will be shared amongst all subplots. If
*True* and you have multiple rows, the x tick labels on all but
the last row of plots will have visible set to *False*
If a string must be one of "row", "col", "all", or "none".
"all" has the same effect as *True*, "none" has the same effect
as *False*.
If "row", each subplot row will share a X axis.
If "col", each subplot column will share a X axis and the x tick
labels on all but the last row will have visible set to *False*.
*sharey* : string or bool
If *True*, the Y axis will be shared amongst all subplots. If
*True* and you have multiple columns, the y tick labels on all but
the first column of plots will have visible set to *False*
If a string must be one of "row", "col", "all", or "none".
"all" has the same effect as *True*, "none" has the same effect
as *False*.
If "row", each subplot row will share a Y axis and the y tick
labels on all but the first column will have visible set to *False*.
If "col", each subplot column will share a Y axis.
*squeeze* : bool
If *True*, extra dimensions are squeezed out from the
returned axis object:
- if only one subplot is constructed (nrows=ncols=1), the
resulting single Axis object is returned as a scalar.
- for Nx1 or 1xN subplots, the returned object is a 1-d numpy
object array of Axis objects are returned as numpy 1-d
arrays.
- for NxM subplots with N>1 and M>1 are returned as a 2d
array.
If *False*, no squeezing at all is done: the returned axis
object is always a 2-d array containing Axis instances, even if it
ends up being 1x1.
*subplot_kw* : dict
Dict with keywords passed to the
:meth:`~matplotlib.figure.Figure.add_subplot` call used to
create each subplots.
*gridspec_kw* : dict
Dict with keywords passed to the
:class:`~matplotlib.gridspec.GridSpec` constructor used to create
the grid the subplots are placed on.
*fig_kw* : dict
Dict with keywords passed to the :func:`figure` call. Note that all
keywords not recognized above will be automatically included here.
Returns:
fig, ax : tuple
- *fig* is the :class:`matplotlib.figure.Figure` object
- *ax* can be either a single axis object or an array of axis
objects if more than one subplot was created. The dimensions
of the resulting array can be controlled with the squeeze
keyword, see above.
Examples::
x = np.linspace(0, 2*np.pi, 400)
y = np.sin(x**2)
# Just a figure and one subplot
f, ax = plt.subplots()
ax.plot(x, y)
ax.set_title('Simple plot')
# Two subplots, unpack the output array immediately
f, (ax1, ax2) = plt.subplots(1, 2, sharey=True)
ax1.plot(x, y)
ax1.set_title('Sharing Y axis')
ax2.scatter(x, y)
# Four polar axes
plt.subplots(2, 2, subplot_kw=dict(polar=True))
# Share a X axis with each column of subplots
plt.subplots(2, 2, sharex='col')
# Share a Y axis with each row of subplots
plt.subplots(2, 2, sharey='row')
# Share a X and Y axis with all subplots
plt.subplots(2, 2, sharex='all', sharey='all')
# same as
plt.subplots(2, 2, sharex=True, sharey=True)
"""
# for backwards compatibility
if isinstance(sharex, bool):
if sharex:
sharex = "all"
else:
sharex = "none"
if isinstance(sharey, bool):
if sharey:
sharey = "all"
else:
sharey = "none"
share_values = ["all", "row", "col", "none"]
if sharex not in share_values:
# This check was added because it is very easy to type
# `subplots(1, 2, 1)` when `subplot(1, 2, 1)` was intended.
# In most cases, no error will ever occur, but mysterious behavior will
# result because what was intended to be the subplot index is instead
# treated as a bool for sharex.
if isinstance(sharex, int):
warnings.warn("sharex argument to subplots() was an integer."
" Did you intend to use subplot() (without 's')?")
raise ValueError("sharex [%s] must be one of %s" %
(sharex, share_values))
if sharey not in share_values:
raise ValueError("sharey [%s] must be one of %s" %
(sharey, share_values))
if subplot_kw is None:
subplot_kw = {}
if gridspec_kw is None:
gridspec_kw = {}
fig = figure(**fig_kw)
gs = GridSpec(nrows, ncols, **gridspec_kw)
# Create empty object array to hold all axes. It's easiest to make it 1-d
# so we can just append subplots upon creation, and then
nplots = nrows*ncols
axarr = np.empty(nplots, dtype=object)
# Create first subplot separately, so we can share it if requested
ax0 = fig.add_subplot(gs[0, 0], **subplot_kw)
axarr[0] = ax0
r, c = np.mgrid[:nrows, :ncols]
r = r.flatten() * ncols
c = c.flatten()
lookup = {
"none": np.arange(nplots),
"all": np.zeros(nplots, dtype=int),
"row": r,
"col": c,
}
sxs = lookup[sharex]
sys = lookup[sharey]
# Note off-by-one counting because add_subplot uses the MATLAB 1-based
# convention.
for i in range(1, nplots):
if sxs[i] == i:
subplot_kw['sharex'] = None
else:
subplot_kw['sharex'] = axarr[sxs[i]]
if sys[i] == i:
subplot_kw['sharey'] = None
else:
subplot_kw['sharey'] = axarr[sys[i]]
axarr[i] = fig.add_subplot(gs[i // ncols, i % ncols], **subplot_kw)
# returned axis array will be always 2-d, even if nrows=ncols=1
axarr = axarr.reshape(nrows, ncols)
# turn off redundant tick labeling
if sharex in ["col", "all"] and nrows > 1:
# turn off all but the bottom row
for ax in axarr[:-1, :].flat:
for label in ax.get_xticklabels():
label.set_visible(False)
ax.xaxis.offsetText.set_visible(False)
if sharey in ["row", "all"] and ncols > 1:
# turn off all but the first column
for ax in axarr[:, 1:].flat:
for label in ax.get_yticklabels():
label.set_visible(False)
ax.yaxis.offsetText.set_visible(False)
if squeeze:
# Reshape the array to have the final desired dimension (nrow,ncol),
# though discarding unneeded dimensions that equal 1. If we only have
# one subplot, just return it instead of a 1-element array.
if nplots == 1:
ret = fig, axarr[0, 0]
else:
ret = fig, axarr.squeeze()
else:
# returned axis array will be always 2-d, even if nrows=ncols=1
ret = fig, axarr.reshape(nrows, ncols)
return ret
def subplot2grid(shape, loc, rowspan=1, colspan=1, **kwargs):
"""
Create a subplot in a grid. The grid is specified by *shape*, at
location of *loc*, spanning *rowspan*, *colspan* cells in each
direction. The index for loc is 0-based. ::
subplot2grid(shape, loc, rowspan=1, colspan=1)
is identical to ::
gridspec=GridSpec(shape[0], shape[1])
subplotspec=gridspec.new_subplotspec(loc, rowspan, colspan)
subplot(subplotspec)
"""
fig = gcf()
s1, s2 = shape
subplotspec = GridSpec(s1, s2).new_subplotspec(loc,
rowspan=rowspan,
colspan=colspan)
a = fig.add_subplot(subplotspec, **kwargs)
bbox = a.bbox
byebye = []
for other in fig.axes:
if other == a:
continue
if bbox.fully_overlaps(other.bbox):
byebye.append(other)
for ax in byebye:
delaxes(ax)
return a
def twinx(ax=None):
"""
Make a second axes that shares the *x*-axis. The new axes will
overlay *ax* (or the current axes if *ax* is *None*). The ticks
for *ax2* will be placed on the right, and the *ax2* instance is
returned.
.. seealso::
:file:`examples/api_examples/two_scales.py`
For an example
"""
if ax is None:
ax=gca()
ax1 = ax.twinx()
return ax1
def twiny(ax=None):
"""
Make a second axes that shares the *y*-axis. The new axis will
overlay *ax* (or the current axes if *ax* is *None*). The ticks
for *ax2* will be placed on the top, and the *ax2* instance is
returned.
"""
if ax is None:
ax=gca()
ax1 = ax.twiny()
return ax1
def subplots_adjust(*args, **kwargs):
"""
Tune the subplot layout.
call signature::
subplots_adjust(left=None, bottom=None, right=None, top=None,
wspace=None, hspace=None)
The parameter meanings (and suggested defaults) are::
left = 0.125 # the left side of the subplots of the figure
right = 0.9 # the right side of the subplots of the figure
bottom = 0.1 # the bottom of the subplots of the figure
top = 0.9 # the top of the subplots of the figure
wspace = 0.2 # the amount of width reserved for blank space between subplots
hspace = 0.2 # the amount of height reserved for white space between subplots
The actual defaults are controlled by the rc file
"""
fig = gcf()
fig.subplots_adjust(*args, **kwargs)
def subplot_tool(targetfig=None):
"""
Launch a subplot tool window for a figure.
A :class:`matplotlib.widgets.SubplotTool` instance is returned.
"""
tbar = rcParams['toolbar'] # turn off the navigation toolbar for the toolfig
rcParams['toolbar'] = 'None'
if targetfig is None:
manager = get_current_fig_manager()
targetfig = manager.canvas.figure
else:
# find the manager for this figure
for manager in _pylab_helpers.Gcf._activeQue:
if manager.canvas.figure==targetfig: break
else: raise RuntimeError('Could not find manager for targetfig')
toolfig = figure(figsize=(6,3))
toolfig.subplots_adjust(top=0.9)
ret = SubplotTool(targetfig, toolfig)
rcParams['toolbar'] = tbar
_pylab_helpers.Gcf.set_active(manager) # restore the current figure
return ret
def tight_layout(pad=1.08, h_pad=None, w_pad=None, rect=None):
"""
Automatically adjust subplot parameters to give specified padding.
Parameters:
pad : float
padding between the figure edge and the edges of subplots, as a fraction of the font-size.
h_pad, w_pad : float
padding (height/width) between edges of adjacent subplots.
Defaults to `pad_inches`.
rect : if rect is given, it is interpreted as a rectangle
(left, bottom, right, top) in the normalized figure
coordinate that the whole subplots area (including
labels) will fit into. Default is (0, 0, 1, 1).
"""
fig = gcf()
fig.tight_layout(pad=pad, h_pad=h_pad, w_pad=w_pad, rect=rect)
def box(on=None):
"""
Turn the axes box on or off. *on* may be a boolean or a string,
'on' or 'off'.
If *on* is *None*, toggle state.
"""
ax = gca()
on = _string_to_bool(on)
if on is None:
on = not ax.get_frame_on()
ax.set_frame_on(on)
def title(s, *args, **kwargs):
"""
Set a title of the current axes.
Set one of the three available axes titles. The available titles are
positioned above the axes in the center, flush with the left edge,
and flush with the right edge.
.. seealso::
See :func:`~matplotlib.pyplot.text` for adding text
to the current axes
Parameters
----------
label : str
Text to use for the title
fontdict : dict
A dictionary controlling the appearance of the title text,
the default `fontdict` is:
{'fontsize': rcParams['axes.titlesize'],
'fontweight' : rcParams['axes.titleweight'],
'verticalalignment': 'baseline',
'horizontalalignment': loc}
loc : {'center', 'left', 'right'}, str, optional
Which title to set, defaults to 'center'
Returns
-------
text : :class:`~matplotlib.text.Text`
The matplotlib text instance representing the title
Other parameters
----------------
kwargs : text properties
Other keyword arguments are text properties, see
:class:`~matplotlib.text.Text` for a list of valid text
properties.
"""
return gca().set_title(s, *args, **kwargs)
## Axis ##
def axis(*v, **kwargs):
"""
Convenience method to get or set axis properties.
Calling with no arguments::
>>> axis()
returns the current axes limits ``[xmin, xmax, ymin, ymax]``.::
>>> axis(v)
sets the min and max of the x and y axes, with
``v = [xmin, xmax, ymin, ymax]``.::
>>> axis('off')
turns off the axis lines and labels.::
>>> axis('equal')
changes limits of *x* or *y* axis so that equal increments of *x*
and *y* have the same length; a circle is circular.::
>>> axis('scaled')
achieves the same result by changing the dimensions of the plot box instead
of the axis data limits.::
>>> axis('tight')
changes *x* and *y* axis limits such that all data is shown. If
all data is already shown, it will move it to the center of the
figure without modifying (*xmax* - *xmin*) or (*ymax* -
*ymin*). Note this is slightly different than in MATLAB.::
>>> axis('image')
is 'scaled' with the axis limits equal to the data limits.::
>>> axis('auto')
and::
>>> axis('normal')
are deprecated. They restore default behavior; axis limits are automatically
scaled to make the data fit comfortably within the plot box.
if ``len(*v)==0``, you can pass in *xmin*, *xmax*, *ymin*, *ymax*
as kwargs selectively to alter just those limits without changing
the others.
>>> axis('square')
changes the limit ranges (*xmax*-*xmin*) and (*ymax*-*ymin*) of
the *x* and *y* axes to be the same, and have the same scaling,
resulting in a square plot.
The xmin, xmax, ymin, ymax tuple is returned
.. seealso::
:func:`xlim`, :func:`ylim`
For setting the x- and y-limits individually.
"""
return gca().axis(*v, **kwargs)
def xlabel(s, *args, **kwargs):
"""
Set the *x* axis label of the current axis.
Default override is::
override = {
'fontsize' : 'small',
'verticalalignment' : 'top',
'horizontalalignment' : 'center'
}
.. seealso::
:func:`~matplotlib.pyplot.text`
For information on how override and the optional args work
"""
return gca().set_xlabel(s, *args, **kwargs)
def ylabel(s, *args, **kwargs):
"""
Set the *y* axis label of the current axis.
Defaults override is::
override = {
'fontsize' : 'small',
'verticalalignment' : 'center',
'horizontalalignment' : 'right',
'rotation'='vertical' : }
.. seealso::
:func:`~matplotlib.pyplot.text`
For information on how override and the optional args
work.
"""
return gca().set_ylabel(s, *args, **kwargs)
def xlim(*args, **kwargs):
"""
Get or set the *x* limits of the current axes.
::
xmin, xmax = xlim() # return the current xlim
xlim( (xmin, xmax) ) # set the xlim to xmin, xmax
xlim( xmin, xmax ) # set the xlim to xmin, xmax
If you do not specify args, you can pass the xmin and xmax as
kwargs, e.g.::
xlim(xmax=3) # adjust the max leaving min unchanged
xlim(xmin=1) # adjust the min leaving max unchanged
Setting limits turns autoscaling off for the x-axis.
The new axis limits are returned as a length 2 tuple.
"""
ax = gca()
if not args and not kwargs:
return ax.get_xlim()
ret = ax.set_xlim(*args, **kwargs)
return ret
def ylim(*args, **kwargs):
"""
Get or set the *y*-limits of the current axes.
::
ymin, ymax = ylim() # return the current ylim
ylim( (ymin, ymax) ) # set the ylim to ymin, ymax
ylim( ymin, ymax ) # set the ylim to ymin, ymax
If you do not specify args, you can pass the *ymin* and *ymax* as
kwargs, e.g.::
ylim(ymax=3) # adjust the max leaving min unchanged
ylim(ymin=1) # adjust the min leaving max unchanged
Setting limits turns autoscaling off for the y-axis.
The new axis limits are returned as a length 2 tuple.
"""
ax = gca()
if not args and not kwargs:
return ax.get_ylim()
ret = ax.set_ylim(*args, **kwargs)
return ret
@docstring.dedent_interpd
def xscale(*args, **kwargs):
"""
Set the scaling of the *x*-axis.
call signature::
xscale(scale, **kwargs)
The available scales are: %(scale)s
Different keywords may be accepted, depending on the scale:
%(scale_docs)s
"""
gca().set_xscale(*args, **kwargs)
@docstring.dedent_interpd
def yscale(*args, **kwargs):
"""
Set the scaling of the *y*-axis.
call signature::
yscale(scale, **kwargs)
The available scales are: %(scale)s
Different keywords may be accepted, depending on the scale:
%(scale_docs)s
"""
gca().set_yscale(*args, **kwargs)
def xticks(*args, **kwargs):
"""
Get or set the *x*-limits of the current tick locations and labels.
::
# return locs, labels where locs is an array of tick locations and
# labels is an array of tick labels.
locs, labels = xticks()
# set the locations of the xticks
xticks( arange(6) )
# set the locations and labels of the xticks
xticks( arange(5), ('Tom', 'Dick', 'Harry', 'Sally', 'Sue') )
The keyword args, if any, are :class:`~matplotlib.text.Text`
properties. For example, to rotate long labels::
xticks( arange(12), calendar.month_name[1:13], rotation=17 )
"""
ax = gca()
if len(args)==0:
locs = ax.get_xticks()
labels = ax.get_xticklabels()
elif len(args)==1:
locs = ax.set_xticks(args[0])
labels = ax.get_xticklabels()
elif len(args)==2:
locs = ax.set_xticks(args[0])
labels = ax.set_xticklabels(args[1], **kwargs)
else: raise TypeError('Illegal number of arguments to xticks')
if len(kwargs):
for l in labels:
l.update(kwargs)
return locs, silent_list('Text xticklabel', labels)
def yticks(*args, **kwargs):
"""
Get or set the *y*-limits of the current tick locations and labels.
::
# return locs, labels where locs is an array of tick locations and
# labels is an array of tick labels.
locs, labels = yticks()
# set the locations of the yticks
yticks( arange(6) )
# set the locations and labels of the yticks
yticks( arange(5), ('Tom', 'Dick', 'Harry', 'Sally', 'Sue') )
The keyword args, if any, are :class:`~matplotlib.text.Text`
properties. For example, to rotate long labels::
yticks( arange(12), calendar.month_name[1:13], rotation=45 )
"""
ax = gca()
if len(args)==0:
locs = ax.get_yticks()
labels = ax.get_yticklabels()
elif len(args)==1:
locs = ax.set_yticks(args[0])
labels = ax.get_yticklabels()
elif len(args)==2:
locs = ax.set_yticks(args[0])
labels = ax.set_yticklabels(args[1], **kwargs)
else: raise TypeError('Illegal number of arguments to yticks')
if len(kwargs):
for l in labels:
l.update(kwargs)
return ( locs,
silent_list('Text yticklabel', labels)
)
def minorticks_on():
"""
Display minor ticks on the current plot.
Displaying minor ticks reduces performance; turn them off using
minorticks_off() if drawing speed is a problem.
"""
gca().minorticks_on()
def minorticks_off():
"""
Remove minor ticks from the current plot.
"""
gca().minorticks_off()
def rgrids(*args, **kwargs):
"""
Get or set the radial gridlines on a polar plot.
call signatures::
lines, labels = rgrids()
lines, labels = rgrids(radii, labels=None, angle=22.5, **kwargs)
When called with no arguments, :func:`rgrid` simply returns the
tuple (*lines*, *labels*), where *lines* is an array of radial
gridlines (:class:`~matplotlib.lines.Line2D` instances) and
*labels* is an array of tick labels
(:class:`~matplotlib.text.Text` instances). When called with
arguments, the labels will appear at the specified radial
distances and angles.
*labels*, if not *None*, is a len(*radii*) list of strings of the
labels to use at each angle.
If *labels* is None, the rformatter will be used
Examples::
# set the locations of the radial gridlines and labels
lines, labels = rgrids( (0.25, 0.5, 1.0) )
# set the locations and labels of the radial gridlines and labels
lines, labels = rgrids( (0.25, 0.5, 1.0), ('Tom', 'Dick', 'Harry' )
"""
ax = gca()
if not isinstance(ax, PolarAxes):
raise RuntimeError('rgrids only defined for polar axes')
if len(args)==0:
lines = ax.yaxis.get_gridlines()
labels = ax.yaxis.get_ticklabels()
else:
lines, labels = ax.set_rgrids(*args, **kwargs)
return ( silent_list('Line2D rgridline', lines),
silent_list('Text rgridlabel', labels) )
def thetagrids(*args, **kwargs):
"""
Get or set the theta locations of the gridlines in a polar plot.
If no arguments are passed, return a tuple (*lines*, *labels*)
where *lines* is an array of radial gridlines
(:class:`~matplotlib.lines.Line2D` instances) and *labels* is an
array of tick labels (:class:`~matplotlib.text.Text` instances)::
lines, labels = thetagrids()
Otherwise the syntax is::
lines, labels = thetagrids(angles, labels=None, fmt='%d', frac = 1.1)
set the angles at which to place the theta grids (these gridlines
are equal along the theta dimension).
*angles* is in degrees.
*labels*, if not *None*, is a len(angles) list of strings of the
labels to use at each angle.
If *labels* is *None*, the labels will be ``fmt%angle``.
*frac* is the fraction of the polar axes radius at which to place
the label (1 is the edge). e.g., 1.05 is outside the axes and 0.95
is inside the axes.
Return value is a list of tuples (*lines*, *labels*):
- *lines* are :class:`~matplotlib.lines.Line2D` instances
- *labels* are :class:`~matplotlib.text.Text` instances.
Note that on input, the *labels* argument is a list of strings,
and on output it is a list of :class:`~matplotlib.text.Text`
instances.
Examples::
# set the locations of the radial gridlines and labels
lines, labels = thetagrids( range(45,360,90) )
# set the locations and labels of the radial gridlines and labels
lines, labels = thetagrids( range(45,360,90), ('NE', 'NW', 'SW','SE') )
"""
ax = gca()
if not isinstance(ax, PolarAxes):
raise RuntimeError('rgrids only defined for polar axes')
if len(args)==0:
lines = ax.xaxis.get_ticklines()
labels = ax.xaxis.get_ticklabels()
else:
lines, labels = ax.set_thetagrids(*args, **kwargs)
return (silent_list('Line2D thetagridline', lines),
silent_list('Text thetagridlabel', labels)
)
## Plotting Info ##
def plotting():
pass
def get_plot_commands():
"""
Get a sorted list of all of the plotting commands.
"""
# This works by searching for all functions in this module and
# removing a few hard-coded exclusions, as well as all of the
# colormap-setting functions, and anything marked as private with
# a preceding underscore.
import inspect
exclude = set(['colormaps', 'colors', 'connect', 'disconnect',
'get_plot_commands', 'get_current_fig_manager',
'ginput', 'plotting', 'waitforbuttonpress'])
exclude |= set(colormaps())
this_module = inspect.getmodule(get_plot_commands)
commands = set()
for name, obj in list(six.iteritems(globals())):
if name.startswith('_') or name in exclude:
continue
if inspect.isfunction(obj) and inspect.getmodule(obj) is this_module:
commands.add(name)
commands = list(commands)
commands.sort()
return commands
def colors():
"""
This is a do-nothing function to provide you with help on how
matplotlib handles colors.
Commands which take color arguments can use several formats to
specify the colors. For the basic built-in colors, you can use a
single letter
===== =======
Alias Color
===== =======
'b' blue
'g' green
'r' red
'c' cyan
'm' magenta
'y' yellow
'k' black
'w' white
===== =======
For a greater range of colors, you have two options. You can
specify the color using an html hex string, as in::
color = '#eeefff'
or you can pass an R,G,B tuple, where each of R,G,B are in the
range [0,1].
You can also use any legal html name for a color, for example::
color = 'red'
color = 'burlywood'
color = 'chartreuse'
The example below creates a subplot with a dark
slate gray background::
subplot(111, axisbg=(0.1843, 0.3098, 0.3098))
Here is an example that creates a pale turquoise title::
title('Is this the best color?', color='#afeeee')
"""
pass
def colormaps():
"""
Matplotlib provides a number of colormaps, and others can be added using
:func:`~matplotlib.cm.register_cmap`. This function documents the built-in
colormaps, and will also return a list of all registered colormaps if called.
You can set the colormap for an image, pcolor, scatter, etc,
using a keyword argument::
imshow(X, cmap=cm.hot)
or using the :func:`set_cmap` function::
imshow(X)
pyplot.set_cmap('hot')
pyplot.set_cmap('jet')
In interactive mode, :func:`set_cmap` will update the colormap post-hoc,
allowing you to see which one works best for your data.
All built-in colormaps can be reversed by appending ``_r``: For instance,
``gray_r`` is the reverse of ``gray``.
There are several common color schemes used in visualization:
Sequential schemes
for unipolar data that progresses from low to high
Diverging schemes
for bipolar data that emphasizes positive or negative deviations from a
central value
Cyclic schemes
meant for plotting values that wrap around at the
endpoints, such as phase angle, wind direction, or time of day
Qualitative schemes
for nominal data that has no inherent ordering, where color is used
only to distinguish categories
The base colormaps are derived from those of the same name provided
with Matlab:
========= =======================================================
Colormap Description
========= =======================================================
autumn sequential linearly-increasing shades of red-orange-yellow
bone sequential increasing black-white color map with
a tinge of blue, to emulate X-ray film
cool linearly-decreasing shades of cyan-magenta
copper sequential increasing shades of black-copper
flag repetitive red-white-blue-black pattern (not cyclic at
endpoints)
gray sequential linearly-increasing black-to-white
grayscale
hot sequential black-red-yellow-white, to emulate blackbody
radiation from an object at increasing temperatures
hsv cyclic red-yellow-green-cyan-blue-magenta-red, formed
by changing the hue component in the HSV color space
inferno perceptually uniform shades of black-red-yellow
jet a spectral map with dark endpoints, blue-cyan-yellow-red;
based on a fluid-jet simulation by NCSA [#]_
magma perceptually uniform shades of black-red-white
pink sequential increasing pastel black-pink-white, meant
for sepia tone colorization of photographs
plasma perceptually uniform shades of blue-red-yellow
prism repetitive red-yellow-green-blue-purple-...-green pattern
(not cyclic at endpoints)
spring linearly-increasing shades of magenta-yellow
summer sequential linearly-increasing shades of green-yellow
viridis perceptually uniform shades of blue-green-yellow
winter linearly-increasing shades of blue-green
========= =======================================================
For the above list only, you can also set the colormap using the
corresponding pylab shortcut interface function, similar to Matlab::
imshow(X)
hot()
jet()
The next set of palettes are from the `Yorick scientific visualisation
package <http://dhmunro.github.io/yorick-doc/>`_, an evolution of
the GIST package, both by David H. Munro:
============ =======================================================
Colormap Description
============ =======================================================
gist_earth mapmaker's colors from dark blue deep ocean to green
lowlands to brown highlands to white mountains
gist_heat sequential increasing black-red-orange-white, to emulate
blackbody radiation from an iron bar as it grows hotter
gist_ncar pseudo-spectral black-blue-green-yellow-red-purple-white
colormap from National Center for Atmospheric
Research [#]_
gist_rainbow runs through the colors in spectral order from red to
violet at full saturation (like *hsv* but not cyclic)
gist_stern "Stern special" color table from Interactive Data
Language software
============ =======================================================
The following colormaps are based on the `ColorBrewer
<http://colorbrewer.org>`_ color specifications and designs developed by
Cynthia Brewer:
ColorBrewer Diverging (luminance is highest at the midpoint, and
decreases towards differently-colored endpoints):
======== ===================================
Colormap Description
======== ===================================
BrBG brown, white, blue-green
PiYG pink, white, yellow-green
PRGn purple, white, green
PuOr orange, white, purple
RdBu red, white, blue
RdGy red, white, gray
RdYlBu red, yellow, blue
RdYlGn red, yellow, green
Spectral red, orange, yellow, green, blue
======== ===================================
ColorBrewer Sequential (luminance decreases monotonically):
======== ====================================
Colormap Description
======== ====================================
Blues white to dark blue
BuGn white, light blue, dark green
BuPu white, light blue, dark purple
GnBu white, light green, dark blue
Greens white to dark green
Greys white to black (not linear)
Oranges white, orange, dark brown
OrRd white, orange, dark red
PuBu white, light purple, dark blue
PuBuGn white, light purple, dark green
PuRd white, light purple, dark red
Purples white to dark purple
RdPu white, pink, dark purple
Reds white to dark red
YlGn light yellow, dark green
YlGnBu light yellow, light green, dark blue
YlOrBr light yellow, orange, dark brown
YlOrRd light yellow, orange, dark red
======== ====================================
ColorBrewer Qualitative:
(For plotting nominal data, :class:`ListedColormap` should be used,
not :class:`LinearSegmentedColormap`. Different sets of colors are
recommended for different numbers of categories. These continuous
versions of the qualitative schemes may be removed or converted in the
future.)
* Accent
* Dark2
* Paired
* Pastel1
* Pastel2
* Set1
* Set2
* Set3
Other miscellaneous schemes:
============= =======================================================
Colormap Description
============= =======================================================
afmhot sequential black-orange-yellow-white blackbody
spectrum, commonly used in atomic force microscopy
brg blue-red-green
bwr diverging blue-white-red
coolwarm diverging blue-gray-red, meant to avoid issues with 3D
shading, color blindness, and ordering of colors [#]_
CMRmap "Default colormaps on color images often reproduce to
confusing grayscale images. The proposed colormap
maintains an aesthetically pleasing color image that
automatically reproduces to a monotonic grayscale with
discrete, quantifiable saturation levels." [#]_
cubehelix Unlike most other color schemes cubehelix was designed
by D.A. Green to be monotonically increasing in terms
of perceived brightness. Also, when printed on a black
and white postscript printer, the scheme results in a
greyscale with monotonically increasing brightness.
This color scheme is named cubehelix because the r,g,b
values produced can be visualised as a squashed helix
around the diagonal in the r,g,b color cube.
gnuplot gnuplot's traditional pm3d scheme
(black-blue-red-yellow)
gnuplot2 sequential color printable as gray
(black-blue-violet-yellow-white)
ocean green-blue-white
rainbow spectral purple-blue-green-yellow-orange-red colormap
with diverging luminance
seismic diverging blue-white-red
nipy_spectral black-purple-blue-green-yellow-red-white spectrum,
originally from the Neuroimaging in Python project
terrain mapmaker's colors, blue-green-yellow-brown-white,
originally from IGOR Pro
============= =======================================================
The following colormaps are redundant and may be removed in future
versions. It's recommended to use the names in the descriptions
instead, which produce identical output:
========= =======================================================
Colormap Description
========= =======================================================
gist_gray identical to *gray*
gist_yarg identical to *gray_r*
binary identical to *gray_r*
spectral identical to *nipy_spectral* [#]_
========= =======================================================
.. rubric:: Footnotes
.. [#] Rainbow colormaps, ``jet`` in particular, are considered a poor
choice for scientific visualization by many researchers: `Rainbow Color
Map (Still) Considered Harmful
<http://www.jwave.vt.edu/%7Erkriz/Projects/create_color_table/color_07.pdf>`_
.. [#] Resembles "BkBlAqGrYeOrReViWh200" from NCAR Command
Language. See `Color Table Gallery
<http://www.ncl.ucar.edu/Document/Graphics/color_table_gallery.shtml>`_
.. [#] See `Diverging Color Maps for Scientific Visualization
<http://www.cs.unm.edu/~kmorel/documents/ColorMaps/>`_ by Kenneth
Moreland.
.. [#] See `A Color Map for Effective Black-and-White Rendering of
Color-Scale Images
<http://www.mathworks.com/matlabcentral/fileexchange/2662-cmrmap-m>`_
by Carey Rappaport
.. [#] Changed to distinguish from ColorBrewer's *Spectral* map.
:func:`spectral` still works, but
``set_cmap('nipy_spectral')`` is recommended for clarity.
"""
return sorted(cm.cmap_d.keys())
def _setup_pyplot_info_docstrings():
"""
Generates the plotting and docstring.
These must be done after the entire module is imported, so it is
called from the end of this module, which is generated by
boilerplate.py.
"""
# Generate the plotting docstring
import re
def pad(s, l):
"""Pad string *s* to length *l*."""
if l < len(s):
return s[:l]
return s + ' ' * (l - len(s))
commands = get_plot_commands()
first_sentence = re.compile("(?:\s*).+?\.(?:\s+|$)", flags=re.DOTALL)
# Collect the first sentence of the docstring for all of the
# plotting commands.
rows = []
max_name = 0
max_summary = 0
for name in commands:
doc = globals()[name].__doc__
summary = ''
if doc is not None:
match = first_sentence.match(doc)
if match is not None:
summary = match.group(0).strip().replace('\n', ' ')
name = '`%s`' % name
rows.append([name, summary])
max_name = max(max_name, len(name))
max_summary = max(max_summary, len(summary))
lines = []
sep = '=' * max_name + ' ' + '=' * max_summary
lines.append(sep)
lines.append(' '.join([pad("Function", max_name),
pad("Description", max_summary)]))
lines.append(sep)
for name, summary in rows:
lines.append(' '.join([pad(name, max_name),
pad(summary, max_summary)]))
lines.append(sep)
plotting.__doc__ = '\n'.join(lines)
## Plotting part 1: manually generated functions and wrappers ##
def colorbar(mappable=None, cax=None, ax=None, **kw):
if mappable is None:
mappable = gci()
if mappable is None:
raise RuntimeError('No mappable was found to use for colorbar '
'creation. First define a mappable such as '
'an image (with imshow) or a contour set ('
'with contourf).')
if ax is None:
ax = gca()
ret = gcf().colorbar(mappable, cax = cax, ax=ax, **kw)
return ret
colorbar.__doc__ = matplotlib.colorbar.colorbar_doc
def clim(vmin=None, vmax=None):
"""
Set the color limits of the current image.
To apply clim to all axes images do::
clim(0, 0.5)
If either *vmin* or *vmax* is None, the image min/max respectively
will be used for color scaling.
If you want to set the clim of multiple images,
use, for example::
for im in gca().get_images():
im.set_clim(0, 0.05)
"""
im = gci()
if im is None:
raise RuntimeError('You must first define an image, e.g., with imshow')
im.set_clim(vmin, vmax)
def set_cmap(cmap):
"""
Set the default colormap. Applies to the current image if any.
See help(colormaps) for more information.
*cmap* must be a :class:`~matplotlib.colors.Colormap` instance, or
the name of a registered colormap.
See :func:`matplotlib.cm.register_cmap` and
:func:`matplotlib.cm.get_cmap`.
"""
cmap = cm.get_cmap(cmap)
rc('image', cmap=cmap.name)
im = gci()
if im is not None:
im.set_cmap(cmap)
@docstring.copy_dedent(_imread)
def imread(*args, **kwargs):
return _imread(*args, **kwargs)
@docstring.copy_dedent(_imsave)
def imsave(*args, **kwargs):
return _imsave(*args, **kwargs)
def matshow(A, fignum=None, **kw):
"""
Display an array as a matrix in a new figure window.
The origin is set at the upper left hand corner and rows (first
dimension of the array) are displayed horizontally. The aspect
ratio of the figure window is that of the array, unless this would
make an excessively short or narrow figure.
Tick labels for the xaxis are placed on top.
With the exception of *fignum*, keyword arguments are passed to
:func:`~matplotlib.pyplot.imshow`. You may set the *origin*
kwarg to "lower" if you want the first row in the array to be
at the bottom instead of the top.
*fignum*: [ None | integer | False ]
By default, :func:`matshow` creates a new figure window with
automatic numbering. If *fignum* is given as an integer, the
created figure will use this figure number. Because of how
:func:`matshow` tries to set the figure aspect ratio to be the
one of the array, if you provide the number of an already
existing figure, strange things may happen.
If *fignum* is *False* or 0, a new figure window will **NOT** be created.
"""
A = np.asanyarray(A)
if fignum is False or fignum is 0:
ax = gca()
else:
# Extract actual aspect ratio of array and make appropriately sized figure
fig = figure(fignum, figsize=figaspect(A))
ax = fig.add_axes([0.15, 0.09, 0.775, 0.775])
im = ax.matshow(A, **kw)
sci(im)
return im
def polar(*args, **kwargs):
"""
Make a polar plot.
call signature::
polar(theta, r, **kwargs)
Multiple *theta*, *r* arguments are supported, with format
strings, as in :func:`~matplotlib.pyplot.plot`.
"""
ax = gca(polar=True)
ret = ax.plot(*args, **kwargs)
return ret
def plotfile(fname, cols=(0,), plotfuncs=None,
comments='#', skiprows=0, checkrows=5, delimiter=',',
names=None, subplots=True, newfig=True, **kwargs):
"""
Plot the data in in a file.
*cols* is a sequence of column identifiers to plot. An identifier
is either an int or a string. If it is an int, it indicates the
column number. If it is a string, it indicates the column header.
matplotlib will make column headers lower case, replace spaces with
underscores, and remove all illegal characters; so ``'Adj Close*'``
will have name ``'adj_close'``.
- If len(*cols*) == 1, only that column will be plotted on the *y* axis.
- If len(*cols*) > 1, the first element will be an identifier for
data for the *x* axis and the remaining elements will be the
column indexes for multiple subplots if *subplots* is *True*
(the default), or for lines in a single subplot if *subplots*
is *False*.
*plotfuncs*, if not *None*, is a dictionary mapping identifier to
an :class:`~matplotlib.axes.Axes` plotting function as a string.
Default is 'plot', other choices are 'semilogy', 'fill', 'bar',
etc. You must use the same type of identifier in the *cols*
vector as you use in the *plotfuncs* dictionary, e.g., integer
column numbers in both or column names in both. If *subplots*
is *False*, then including any function such as 'semilogy'
that changes the axis scaling will set the scaling for all
columns.
*comments*, *skiprows*, *checkrows*, *delimiter*, and *names*
are all passed on to :func:`matplotlib.pylab.csv2rec` to
load the data into a record array.
If *newfig* is *True*, the plot always will be made in a new figure;
if *False*, it will be made in the current figure if one exists,
else in a new figure.
kwargs are passed on to plotting functions.
Example usage::
# plot the 2nd and 4th column against the 1st in two subplots
plotfile(fname, (0,1,3))
# plot using column names; specify an alternate plot type for volume
plotfile(fname, ('date', 'volume', 'adj_close'),
plotfuncs={'volume': 'semilogy'})
Note: plotfile is intended as a convenience for quickly plotting
data from flat files; it is not intended as an alternative
interface to general plotting with pyplot or matplotlib.
"""
if newfig:
fig = figure()
else:
fig = gcf()
if len(cols)<1:
raise ValueError('must have at least one column of data')
if plotfuncs is None:
plotfuncs = dict()
r = mlab.csv2rec(fname, comments=comments, skiprows=skiprows,
checkrows=checkrows, delimiter=delimiter, names=names)
def getname_val(identifier):
'return the name and column data for identifier'
if is_string_like(identifier):
return identifier, r[identifier]
elif is_numlike(identifier):
name = r.dtype.names[int(identifier)]
return name, r[name]
else:
raise TypeError('identifier must be a string or integer')
xname, x = getname_val(cols[0])
ynamelist = []
if len(cols)==1:
ax1 = fig.add_subplot(1,1,1)
funcname = plotfuncs.get(cols[0], 'plot')
func = getattr(ax1, funcname)
func(x, **kwargs)
ax1.set_ylabel(xname)
else:
N = len(cols)
for i in range(1,N):
if subplots:
if i==1:
ax = ax1 = fig.add_subplot(N-1,1,i)
else:
ax = fig.add_subplot(N-1,1,i, sharex=ax1)
elif i==1:
ax = fig.add_subplot(1,1,1)
yname, y = getname_val(cols[i])
ynamelist.append(yname)
funcname = plotfuncs.get(cols[i], 'plot')
func = getattr(ax, funcname)
func(x, y, **kwargs)
if subplots:
ax.set_ylabel(yname)
if ax.is_last_row():
ax.set_xlabel(xname)
else:
ax.set_xlabel('')
if not subplots:
ax.legend(ynamelist, loc='best')
if xname=='date':
fig.autofmt_xdate()
def _autogen_docstring(base):
"""Autogenerated wrappers will get their docstring from a base function
with an addendum."""
msg = "\n\nAdditional kwargs: hold = [True|False] overrides default hold state"
addendum = docstring.Appender(msg, '\n\n')
return lambda func: addendum(docstring.copy_dedent(base)(func))
# This function cannot be generated by boilerplate.py because it may
# return an image or a line.
@_autogen_docstring(Axes.spy)
def spy(Z, precision=0, marker=None, markersize=None, aspect='equal', hold=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.spy(Z, precision, marker, markersize, aspect, **kwargs)
finally:
ax.hold(washold)
if isinstance(ret, cm.ScalarMappable):
sci(ret)
return ret
# just to be safe. Interactive mode can be turned on without
# calling `plt.ion()` so register it again here.
# This is safe because multiple calls to `install_repl_displayhook`
# are no-ops and the registered function respect `mpl.is_interactive()`
# to determine if they should trigger a draw.
install_repl_displayhook()
################# REMAINING CONTENT GENERATED BY boilerplate.py ##############
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.acorr)
def acorr(x, hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.acorr(x, data=data, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.angle_spectrum)
def angle_spectrum(x, Fs=None, Fc=None, window=None, pad_to=None, sides=None,
hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.angle_spectrum(x, Fs=Fs, Fc=Fc, window=window, pad_to=pad_to,
sides=sides, data=data, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.arrow)
def arrow(x, y, dx, dy, hold=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.arrow(x, y, dx, dy, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.axhline)
def axhline(y=0, xmin=0, xmax=1, hold=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.axhline(y=y, xmin=xmin, xmax=xmax, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.axhspan)
def axhspan(ymin, ymax, xmin=0, xmax=1, hold=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.axhspan(ymin, ymax, xmin=xmin, xmax=xmax, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.axvline)
def axvline(x=0, ymin=0, ymax=1, hold=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.axvline(x=x, ymin=ymin, ymax=ymax, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.axvspan)
def axvspan(xmin, xmax, ymin=0, ymax=1, hold=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.axvspan(xmin, xmax, ymin=ymin, ymax=ymax, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.bar)
def bar(left, height, width=0.8, bottom=None, hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.bar(left, height, width=width, bottom=bottom, data=data,
**kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.barh)
def barh(bottom, width, height=0.8, left=None, hold=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.barh(bottom, width, height=height, left=left, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.broken_barh)
def broken_barh(xranges, yrange, hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.broken_barh(xranges, yrange, data=data, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.boxplot)
def boxplot(x, notch=None, sym=None, vert=None, whis=None, positions=None,
widths=None, patch_artist=None, bootstrap=None, usermedians=None,
conf_intervals=None, meanline=None, showmeans=None, showcaps=None,
showbox=None, showfliers=None, boxprops=None, labels=None,
flierprops=None, medianprops=None, meanprops=None, capprops=None,
whiskerprops=None, manage_xticks=True, hold=None, data=None):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.boxplot(x, notch=notch, sym=sym, vert=vert, whis=whis,
positions=positions, widths=widths,
patch_artist=patch_artist, bootstrap=bootstrap,
usermedians=usermedians,
conf_intervals=conf_intervals, meanline=meanline,
showmeans=showmeans, showcaps=showcaps,
showbox=showbox, showfliers=showfliers,
boxprops=boxprops, labels=labels,
flierprops=flierprops, medianprops=medianprops,
meanprops=meanprops, capprops=capprops,
whiskerprops=whiskerprops,
manage_xticks=manage_xticks, data=data)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.cohere)
def cohere(x, y, NFFT=256, Fs=2, Fc=0, detrend=mlab.detrend_none,
window=mlab.window_hanning, noverlap=0, pad_to=None, sides='default',
scale_by_freq=None, hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.cohere(x, y, NFFT=NFFT, Fs=Fs, Fc=Fc, detrend=detrend,
window=window, noverlap=noverlap, pad_to=pad_to,
sides=sides, scale_by_freq=scale_by_freq, data=data,
**kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.clabel)
def clabel(CS, *args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.clabel(CS, *args, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.contour)
def contour(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.contour(*args, **kwargs)
finally:
ax.hold(washold)
if ret._A is not None: sci(ret)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.contourf)
def contourf(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.contourf(*args, **kwargs)
finally:
ax.hold(washold)
if ret._A is not None: sci(ret)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.csd)
def csd(x, y, NFFT=None, Fs=None, Fc=None, detrend=None, window=None,
noverlap=None, pad_to=None, sides=None, scale_by_freq=None,
return_line=None, hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.csd(x, y, NFFT=NFFT, Fs=Fs, Fc=Fc, detrend=detrend,
window=window, noverlap=noverlap, pad_to=pad_to,
sides=sides, scale_by_freq=scale_by_freq,
return_line=return_line, data=data, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.errorbar)
def errorbar(x, y, yerr=None, xerr=None, fmt='', ecolor=None, elinewidth=None,
capsize=None, barsabove=False, lolims=False, uplims=False,
xlolims=False, xuplims=False, errorevery=1, capthick=None,
hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.errorbar(x, y, yerr=yerr, xerr=xerr, fmt=fmt, ecolor=ecolor,
elinewidth=elinewidth, capsize=capsize,
barsabove=barsabove, lolims=lolims, uplims=uplims,
xlolims=xlolims, xuplims=xuplims,
errorevery=errorevery, capthick=capthick, data=data,
**kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.eventplot)
def eventplot(positions, orientation='horizontal', lineoffsets=1, linelengths=1,
linewidths=None, colors=None, linestyles='solid', hold=None,
data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.eventplot(positions, orientation=orientation,
lineoffsets=lineoffsets, linelengths=linelengths,
linewidths=linewidths, colors=colors,
linestyles=linestyles, data=data, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.fill)
def fill(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.fill(*args, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.fill_between)
def fill_between(x, y1, y2=0, where=None, interpolate=False, step=None,
hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.fill_between(x, y1, y2=y2, where=where,
interpolate=interpolate, step=step, data=data,
**kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.fill_betweenx)
def fill_betweenx(y, x1, x2=0, where=None, step=None, hold=None, data=None,
**kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.fill_betweenx(y, x1, x2=x2, where=where, step=step, data=data,
**kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.hexbin)
def hexbin(x, y, C=None, gridsize=100, bins=None, xscale='linear',
yscale='linear', extent=None, cmap=None, norm=None, vmin=None,
vmax=None, alpha=None, linewidths=None, edgecolors='none',
reduce_C_function=np.mean, mincnt=None, marginals=False, hold=None,
data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.hexbin(x, y, C=C, gridsize=gridsize, bins=bins, xscale=xscale,
yscale=yscale, extent=extent, cmap=cmap, norm=norm,
vmin=vmin, vmax=vmax, alpha=alpha,
linewidths=linewidths, edgecolors=edgecolors,
reduce_C_function=reduce_C_function, mincnt=mincnt,
marginals=marginals, data=data, **kwargs)
finally:
ax.hold(washold)
sci(ret)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.hist)
def hist(x, bins=10, range=None, normed=False, weights=None, cumulative=False,
bottom=None, histtype='bar', align='mid', orientation='vertical',
rwidth=None, log=False, color=None, label=None, stacked=False,
hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.hist(x, bins=bins, range=range, normed=normed,
weights=weights, cumulative=cumulative, bottom=bottom,
histtype=histtype, align=align, orientation=orientation,
rwidth=rwidth, log=log, color=color, label=label,
stacked=stacked, data=data, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.hist2d)
def hist2d(x, y, bins=10, range=None, normed=False, weights=None, cmin=None,
cmax=None, hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.hist2d(x, y, bins=bins, range=range, normed=normed,
weights=weights, cmin=cmin, cmax=cmax, data=data,
**kwargs)
finally:
ax.hold(washold)
sci(ret[-1])
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.hlines)
def hlines(y, xmin, xmax, colors='k', linestyles='solid', label='', hold=None,
data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.hlines(y, xmin, xmax, colors=colors, linestyles=linestyles,
label=label, data=data, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.imshow)
def imshow(X, cmap=None, norm=None, aspect=None, interpolation=None, alpha=None,
vmin=None, vmax=None, origin=None, extent=None, shape=None,
filternorm=1, filterrad=4.0, imlim=None, resample=None, url=None,
hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.imshow(X, cmap=cmap, norm=norm, aspect=aspect,
interpolation=interpolation, alpha=alpha, vmin=vmin,
vmax=vmax, origin=origin, extent=extent, shape=shape,
filternorm=filternorm, filterrad=filterrad,
imlim=imlim, resample=resample, url=url, data=data,
**kwargs)
finally:
ax.hold(washold)
sci(ret)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.loglog)
def loglog(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.loglog(*args, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.magnitude_spectrum)
def magnitude_spectrum(x, Fs=None, Fc=None, window=None, pad_to=None,
sides=None, scale=None, hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.magnitude_spectrum(x, Fs=Fs, Fc=Fc, window=window,
pad_to=pad_to, sides=sides, scale=scale,
data=data, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.pcolor)
def pcolor(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.pcolor(*args, **kwargs)
finally:
ax.hold(washold)
sci(ret)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.pcolormesh)
def pcolormesh(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.pcolormesh(*args, **kwargs)
finally:
ax.hold(washold)
sci(ret)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.phase_spectrum)
def phase_spectrum(x, Fs=None, Fc=None, window=None, pad_to=None, sides=None,
hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.phase_spectrum(x, Fs=Fs, Fc=Fc, window=window, pad_to=pad_to,
sides=sides, data=data, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.pie)
def pie(x, explode=None, labels=None, colors=None, autopct=None,
pctdistance=0.6, shadow=False, labeldistance=1.1, startangle=None,
radius=None, counterclock=True, wedgeprops=None, textprops=None,
center=(0, 0), frame=False, hold=None, data=None):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.pie(x, explode=explode, labels=labels, colors=colors,
autopct=autopct, pctdistance=pctdistance, shadow=shadow,
labeldistance=labeldistance, startangle=startangle,
radius=radius, counterclock=counterclock,
wedgeprops=wedgeprops, textprops=textprops, center=center,
frame=frame, data=data)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.plot)
def plot(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.plot(*args, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.plot_date)
def plot_date(x, y, fmt='o', tz=None, xdate=True, ydate=False, hold=None,
data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.plot_date(x, y, fmt=fmt, tz=tz, xdate=xdate, ydate=ydate,
data=data, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.psd)
def psd(x, NFFT=None, Fs=None, Fc=None, detrend=None, window=None,
noverlap=None, pad_to=None, sides=None, scale_by_freq=None,
return_line=None, hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.psd(x, NFFT=NFFT, Fs=Fs, Fc=Fc, detrend=detrend,
window=window, noverlap=noverlap, pad_to=pad_to,
sides=sides, scale_by_freq=scale_by_freq,
return_line=return_line, data=data, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.quiver)
def quiver(*args, **kw):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kw.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.quiver(*args, **kw)
finally:
ax.hold(washold)
sci(ret)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.quiverkey)
def quiverkey(*args, **kw):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kw.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.quiverkey(*args, **kw)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.scatter)
def scatter(x, y, s=20, c=None, marker='o', cmap=None, norm=None, vmin=None,
vmax=None, alpha=None, linewidths=None, verts=None, edgecolors=None,
hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.scatter(x, y, s=s, c=c, marker=marker, cmap=cmap, norm=norm,
vmin=vmin, vmax=vmax, alpha=alpha,
linewidths=linewidths, verts=verts,
edgecolors=edgecolors, data=data, **kwargs)
finally:
ax.hold(washold)
sci(ret)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.semilogx)
def semilogx(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.semilogx(*args, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.semilogy)
def semilogy(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.semilogy(*args, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.specgram)
def specgram(x, NFFT=None, Fs=None, Fc=None, detrend=None, window=None,
noverlap=None, cmap=None, xextent=None, pad_to=None, sides=None,
scale_by_freq=None, mode=None, scale=None, vmin=None, vmax=None,
hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.specgram(x, NFFT=NFFT, Fs=Fs, Fc=Fc, detrend=detrend,
window=window, noverlap=noverlap, cmap=cmap,
xextent=xextent, pad_to=pad_to, sides=sides,
scale_by_freq=scale_by_freq, mode=mode, scale=scale,
vmin=vmin, vmax=vmax, data=data, **kwargs)
finally:
ax.hold(washold)
sci(ret[-1])
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.stackplot)
def stackplot(x, *args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.stackplot(x, *args, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.stem)
def stem(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.stem(*args, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.step)
def step(x, y, *args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.step(x, y, *args, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.streamplot)
def streamplot(x, y, u, v, density=1, linewidth=None, color=None, cmap=None,
norm=None, arrowsize=1, arrowstyle='-|>', minlength=0.1,
transform=None, zorder=1, start_points=None, hold=None, data=None):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.streamplot(x, y, u, v, density=density, linewidth=linewidth,
color=color, cmap=cmap, norm=norm,
arrowsize=arrowsize, arrowstyle=arrowstyle,
minlength=minlength, transform=transform,
zorder=zorder, start_points=start_points, data=data)
finally:
ax.hold(washold)
sci(ret.lines)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.tricontour)
def tricontour(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.tricontour(*args, **kwargs)
finally:
ax.hold(washold)
if ret._A is not None: sci(ret)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.tricontourf)
def tricontourf(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.tricontourf(*args, **kwargs)
finally:
ax.hold(washold)
if ret._A is not None: sci(ret)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.tripcolor)
def tripcolor(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.tripcolor(*args, **kwargs)
finally:
ax.hold(washold)
sci(ret)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.triplot)
def triplot(*args, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kwargs.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.triplot(*args, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.violinplot)
def violinplot(dataset, positions=None, vert=True, widths=0.5, showmeans=False,
showextrema=True, showmedians=False, points=100, bw_method=None,
hold=None, data=None):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.violinplot(dataset, positions=positions, vert=vert,
widths=widths, showmeans=showmeans,
showextrema=showextrema, showmedians=showmedians,
points=points, bw_method=bw_method, data=data)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.vlines)
def vlines(x, ymin, ymax, colors='k', linestyles='solid', label='', hold=None,
data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.vlines(x, ymin, ymax, colors=colors, linestyles=linestyles,
label=label, data=data, **kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.xcorr)
def xcorr(x, y, normed=True, detrend=mlab.detrend_none, usevlines=True,
maxlags=10, hold=None, data=None, **kwargs):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
if hold is not None:
ax.hold(hold)
try:
ret = ax.xcorr(x, y, normed=normed, detrend=detrend,
usevlines=usevlines, maxlags=maxlags, data=data,
**kwargs)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@_autogen_docstring(Axes.barbs)
def barbs(*args, **kw):
ax = gca()
# allow callers to override the hold state by passing hold=True|False
washold = ax.ishold()
hold = kw.pop('hold', None)
if hold is not None:
ax.hold(hold)
try:
ret = ax.barbs(*args, **kw)
finally:
ax.hold(washold)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@docstring.copy_dedent(Axes.cla)
def cla():
ret = gca().cla()
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@docstring.copy_dedent(Axes.grid)
def grid(b=None, which='major', axis='both', **kwargs):
ret = gca().grid(b=b, which=which, axis=axis, **kwargs)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@docstring.copy_dedent(Axes.legend)
def legend(*args, **kwargs):
ret = gca().legend(*args, **kwargs)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@docstring.copy_dedent(Axes.table)
def table(**kwargs):
ret = gca().table(**kwargs)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@docstring.copy_dedent(Axes.text)
def text(x, y, s, fontdict=None, withdash=False, **kwargs):
ret = gca().text(x, y, s, fontdict=fontdict, withdash=withdash, **kwargs)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@docstring.copy_dedent(Axes.annotate)
def annotate(*args, **kwargs):
ret = gca().annotate(*args, **kwargs)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@docstring.copy_dedent(Axes.ticklabel_format)
def ticklabel_format(**kwargs):
ret = gca().ticklabel_format(**kwargs)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@docstring.copy_dedent(Axes.locator_params)
def locator_params(axis='both', tight=None, **kwargs):
ret = gca().locator_params(axis=axis, tight=tight, **kwargs)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@docstring.copy_dedent(Axes.tick_params)
def tick_params(axis='both', **kwargs):
ret = gca().tick_params(axis=axis, **kwargs)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@docstring.copy_dedent(Axes.margins)
def margins(*args, **kw):
ret = gca().margins(*args, **kw)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
@docstring.copy_dedent(Axes.autoscale)
def autoscale(enable=True, axis='both', tight=None):
ret = gca().autoscale(enable=enable, axis=axis, tight=tight)
return ret
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def autumn():
'''
set the default colormap to autumn and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='autumn')
im = gci()
if im is not None:
im.set_cmap(cm.autumn)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def bone():
'''
set the default colormap to bone and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='bone')
im = gci()
if im is not None:
im.set_cmap(cm.bone)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def cool():
'''
set the default colormap to cool and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='cool')
im = gci()
if im is not None:
im.set_cmap(cm.cool)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def copper():
'''
set the default colormap to copper and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='copper')
im = gci()
if im is not None:
im.set_cmap(cm.copper)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def flag():
'''
set the default colormap to flag and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='flag')
im = gci()
if im is not None:
im.set_cmap(cm.flag)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def gray():
'''
set the default colormap to gray and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='gray')
im = gci()
if im is not None:
im.set_cmap(cm.gray)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def hot():
'''
set the default colormap to hot and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='hot')
im = gci()
if im is not None:
im.set_cmap(cm.hot)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def hsv():
'''
set the default colormap to hsv and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='hsv')
im = gci()
if im is not None:
im.set_cmap(cm.hsv)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def jet():
'''
set the default colormap to jet and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='jet')
im = gci()
if im is not None:
im.set_cmap(cm.jet)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def pink():
'''
set the default colormap to pink and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='pink')
im = gci()
if im is not None:
im.set_cmap(cm.pink)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def prism():
'''
set the default colormap to prism and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='prism')
im = gci()
if im is not None:
im.set_cmap(cm.prism)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def spring():
'''
set the default colormap to spring and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='spring')
im = gci()
if im is not None:
im.set_cmap(cm.spring)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def summer():
'''
set the default colormap to summer and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='summer')
im = gci()
if im is not None:
im.set_cmap(cm.summer)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def winter():
'''
set the default colormap to winter and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='winter')
im = gci()
if im is not None:
im.set_cmap(cm.winter)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def spectral():
'''
set the default colormap to spectral and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='spectral')
im = gci()
if im is not None:
im.set_cmap(cm.spectral)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def magma():
'''
set the default colormap to magma and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='magma')
im = gci()
if im is not None:
im.set_cmap(cm.magma)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def inferno():
'''
set the default colormap to inferno and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='inferno')
im = gci()
if im is not None:
im.set_cmap(cm.inferno)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def plasma():
'''
set the default colormap to plasma and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='plasma')
im = gci()
if im is not None:
im.set_cmap(cm.plasma)
# This function was autogenerated by boilerplate.py. Do not edit as
# changes will be lost
def viridis():
'''
set the default colormap to viridis and apply to current image if any.
See help(colormaps) for more information
'''
rc('image', cmap='viridis')
im = gci()
if im is not None:
im.set_cmap(cm.viridis)
_setup_pyplot_info_docstrings()
| apache-2.0 |
kjung/scikit-learn | sklearn/ensemble/tests/test_bagging.py | 34 | 25693 | """
Testing for the bagging ensemble module (sklearn.ensemble.bagging).
"""
# Author: Gilles Louppe
# License: BSD 3 clause
import numpy as np
from sklearn.base import BaseEstimator
from sklearn.utils.testing import assert_array_equal
from sklearn.utils.testing import assert_array_almost_equal
from sklearn.utils.testing import assert_equal
from sklearn.utils.testing import assert_raises
from sklearn.utils.testing import assert_greater
from sklearn.utils.testing import assert_less
from sklearn.utils.testing import assert_true
from sklearn.utils.testing import assert_false
from sklearn.utils.testing import assert_warns
from sklearn.utils.testing import assert_warns_message
from sklearn.dummy import DummyClassifier, DummyRegressor
from sklearn.model_selection import GridSearchCV, ParameterGrid
from sklearn.ensemble import BaggingClassifier, BaggingRegressor
from sklearn.linear_model import Perceptron, LogisticRegression
from sklearn.neighbors import KNeighborsClassifier, KNeighborsRegressor
from sklearn.tree import DecisionTreeClassifier, DecisionTreeRegressor
from sklearn.svm import SVC, SVR
from sklearn.pipeline import make_pipeline
from sklearn.feature_selection import SelectKBest
from sklearn.model_selection import train_test_split
from sklearn.datasets import load_boston, load_iris, make_hastie_10_2
from sklearn.utils import check_random_state
from scipy.sparse import csc_matrix, csr_matrix
rng = check_random_state(0)
# also load the iris dataset
# and randomly permute it
iris = load_iris()
perm = rng.permutation(iris.target.size)
iris.data = iris.data[perm]
iris.target = iris.target[perm]
# also load the boston dataset
# and randomly permute it
boston = load_boston()
perm = rng.permutation(boston.target.size)
boston.data = boston.data[perm]
boston.target = boston.target[perm]
def test_classification():
# Check classification for various parameter settings.
rng = check_random_state(0)
X_train, X_test, y_train, y_test = train_test_split(iris.data,
iris.target,
random_state=rng)
grid = ParameterGrid({"max_samples": [0.5, 1.0],
"max_features": [1, 2, 4],
"bootstrap": [True, False],
"bootstrap_features": [True, False]})
for base_estimator in [None,
DummyClassifier(),
Perceptron(),
DecisionTreeClassifier(),
KNeighborsClassifier(),
SVC()]:
for params in grid:
BaggingClassifier(base_estimator=base_estimator,
random_state=rng,
**params).fit(X_train, y_train).predict(X_test)
def test_sparse_classification():
# Check classification for various parameter settings on sparse input.
class CustomSVC(SVC):
"""SVC variant that records the nature of the training set"""
def fit(self, X, y):
super(CustomSVC, self).fit(X, y)
self.data_type_ = type(X)
return self
rng = check_random_state(0)
X_train, X_test, y_train, y_test = train_test_split(iris.data,
iris.target,
random_state=rng)
parameter_sets = [
{"max_samples": 0.5,
"max_features": 2,
"bootstrap": True,
"bootstrap_features": True},
{"max_samples": 1.0,
"max_features": 4,
"bootstrap": True,
"bootstrap_features": True},
{"max_features": 2,
"bootstrap": False,
"bootstrap_features": True},
{"max_samples": 0.5,
"bootstrap": True,
"bootstrap_features": False},
]
for sparse_format in [csc_matrix, csr_matrix]:
X_train_sparse = sparse_format(X_train)
X_test_sparse = sparse_format(X_test)
for params in parameter_sets:
for f in ['predict', 'predict_proba', 'predict_log_proba', 'decision_function']:
# Trained on sparse format
sparse_classifier = BaggingClassifier(
base_estimator=CustomSVC(decision_function_shape='ovr'),
random_state=1,
**params
).fit(X_train_sparse, y_train)
sparse_results = getattr(sparse_classifier, f)(X_test_sparse)
# Trained on dense format
dense_classifier = BaggingClassifier(
base_estimator=CustomSVC(decision_function_shape='ovr'),
random_state=1,
**params
).fit(X_train, y_train)
dense_results = getattr(dense_classifier, f)(X_test)
assert_array_equal(sparse_results, dense_results)
sparse_type = type(X_train_sparse)
types = [i.data_type_ for i in sparse_classifier.estimators_]
assert all([t == sparse_type for t in types])
def test_regression():
# Check regression for various parameter settings.
rng = check_random_state(0)
X_train, X_test, y_train, y_test = train_test_split(boston.data[:50],
boston.target[:50],
random_state=rng)
grid = ParameterGrid({"max_samples": [0.5, 1.0],
"max_features": [0.5, 1.0],
"bootstrap": [True, False],
"bootstrap_features": [True, False]})
for base_estimator in [None,
DummyRegressor(),
DecisionTreeRegressor(),
KNeighborsRegressor(),
SVR()]:
for params in grid:
BaggingRegressor(base_estimator=base_estimator,
random_state=rng,
**params).fit(X_train, y_train).predict(X_test)
def test_sparse_regression():
# Check regression for various parameter settings on sparse input.
rng = check_random_state(0)
X_train, X_test, y_train, y_test = train_test_split(boston.data[:50],
boston.target[:50],
random_state=rng)
class CustomSVR(SVR):
"""SVC variant that records the nature of the training set"""
def fit(self, X, y):
super(CustomSVR, self).fit(X, y)
self.data_type_ = type(X)
return self
parameter_sets = [
{"max_samples": 0.5,
"max_features": 2,
"bootstrap": True,
"bootstrap_features": True},
{"max_samples": 1.0,
"max_features": 4,
"bootstrap": True,
"bootstrap_features": True},
{"max_features": 2,
"bootstrap": False,
"bootstrap_features": True},
{"max_samples": 0.5,
"bootstrap": True,
"bootstrap_features": False},
]
for sparse_format in [csc_matrix, csr_matrix]:
X_train_sparse = sparse_format(X_train)
X_test_sparse = sparse_format(X_test)
for params in parameter_sets:
# Trained on sparse format
sparse_classifier = BaggingRegressor(
base_estimator=CustomSVR(),
random_state=1,
**params
).fit(X_train_sparse, y_train)
sparse_results = sparse_classifier.predict(X_test_sparse)
# Trained on dense format
dense_results = BaggingRegressor(
base_estimator=CustomSVR(),
random_state=1,
**params
).fit(X_train, y_train).predict(X_test)
sparse_type = type(X_train_sparse)
types = [i.data_type_ for i in sparse_classifier.estimators_]
assert_array_equal(sparse_results, dense_results)
assert all([t == sparse_type for t in types])
assert_array_equal(sparse_results, dense_results)
def test_bootstrap_samples():
# Test that bootstrapping samples generate non-perfect base estimators.
rng = check_random_state(0)
X_train, X_test, y_train, y_test = train_test_split(boston.data,
boston.target,
random_state=rng)
base_estimator = DecisionTreeRegressor().fit(X_train, y_train)
# without bootstrap, all trees are perfect on the training set
ensemble = BaggingRegressor(base_estimator=DecisionTreeRegressor(),
max_samples=1.0,
bootstrap=False,
random_state=rng).fit(X_train, y_train)
assert_equal(base_estimator.score(X_train, y_train),
ensemble.score(X_train, y_train))
# with bootstrap, trees are no longer perfect on the training set
ensemble = BaggingRegressor(base_estimator=DecisionTreeRegressor(),
max_samples=1.0,
bootstrap=True,
random_state=rng).fit(X_train, y_train)
assert_greater(base_estimator.score(X_train, y_train),
ensemble.score(X_train, y_train))
def test_bootstrap_features():
# Test that bootstrapping features may generate duplicate features.
rng = check_random_state(0)
X_train, X_test, y_train, y_test = train_test_split(boston.data,
boston.target,
random_state=rng)
ensemble = BaggingRegressor(base_estimator=DecisionTreeRegressor(),
max_features=1.0,
bootstrap_features=False,
random_state=rng).fit(X_train, y_train)
for features in ensemble.estimators_features_:
assert_equal(boston.data.shape[1], np.unique(features).shape[0])
ensemble = BaggingRegressor(base_estimator=DecisionTreeRegressor(),
max_features=1.0,
bootstrap_features=True,
random_state=rng).fit(X_train, y_train)
for features in ensemble.estimators_features_:
assert_greater(boston.data.shape[1], np.unique(features).shape[0])
def test_probability():
# Predict probabilities.
rng = check_random_state(0)
X_train, X_test, y_train, y_test = train_test_split(iris.data,
iris.target,
random_state=rng)
with np.errstate(divide="ignore", invalid="ignore"):
# Normal case
ensemble = BaggingClassifier(base_estimator=DecisionTreeClassifier(),
random_state=rng).fit(X_train, y_train)
assert_array_almost_equal(np.sum(ensemble.predict_proba(X_test),
axis=1),
np.ones(len(X_test)))
assert_array_almost_equal(ensemble.predict_proba(X_test),
np.exp(ensemble.predict_log_proba(X_test)))
# Degenerate case, where some classes are missing
ensemble = BaggingClassifier(base_estimator=LogisticRegression(),
random_state=rng,
max_samples=5).fit(X_train, y_train)
assert_array_almost_equal(np.sum(ensemble.predict_proba(X_test),
axis=1),
np.ones(len(X_test)))
assert_array_almost_equal(ensemble.predict_proba(X_test),
np.exp(ensemble.predict_log_proba(X_test)))
def test_oob_score_classification():
# Check that oob prediction is a good estimation of the generalization
# error.
rng = check_random_state(0)
X_train, X_test, y_train, y_test = train_test_split(iris.data,
iris.target,
random_state=rng)
for base_estimator in [DecisionTreeClassifier(), SVC()]:
clf = BaggingClassifier(base_estimator=base_estimator,
n_estimators=100,
bootstrap=True,
oob_score=True,
random_state=rng).fit(X_train, y_train)
test_score = clf.score(X_test, y_test)
assert_less(abs(test_score - clf.oob_score_), 0.1)
# Test with few estimators
assert_warns(UserWarning,
BaggingClassifier(base_estimator=base_estimator,
n_estimators=1,
bootstrap=True,
oob_score=True,
random_state=rng).fit,
X_train,
y_train)
def test_oob_score_regression():
# Check that oob prediction is a good estimation of the generalization
# error.
rng = check_random_state(0)
X_train, X_test, y_train, y_test = train_test_split(boston.data,
boston.target,
random_state=rng)
clf = BaggingRegressor(base_estimator=DecisionTreeRegressor(),
n_estimators=50,
bootstrap=True,
oob_score=True,
random_state=rng).fit(X_train, y_train)
test_score = clf.score(X_test, y_test)
assert_less(abs(test_score - clf.oob_score_), 0.1)
# Test with few estimators
assert_warns(UserWarning,
BaggingRegressor(base_estimator=DecisionTreeRegressor(),
n_estimators=1,
bootstrap=True,
oob_score=True,
random_state=rng).fit,
X_train,
y_train)
def test_single_estimator():
# Check singleton ensembles.
rng = check_random_state(0)
X_train, X_test, y_train, y_test = train_test_split(boston.data,
boston.target,
random_state=rng)
clf1 = BaggingRegressor(base_estimator=KNeighborsRegressor(),
n_estimators=1,
bootstrap=False,
bootstrap_features=False,
random_state=rng).fit(X_train, y_train)
clf2 = KNeighborsRegressor().fit(X_train, y_train)
assert_array_equal(clf1.predict(X_test), clf2.predict(X_test))
def test_error():
# Test that it gives proper exception on deficient input.
X, y = iris.data, iris.target
base = DecisionTreeClassifier()
# Test max_samples
assert_raises(ValueError,
BaggingClassifier(base, max_samples=-1).fit, X, y)
assert_raises(ValueError,
BaggingClassifier(base, max_samples=0.0).fit, X, y)
assert_raises(ValueError,
BaggingClassifier(base, max_samples=2.0).fit, X, y)
assert_raises(ValueError,
BaggingClassifier(base, max_samples=1000).fit, X, y)
assert_raises(ValueError,
BaggingClassifier(base, max_samples="foobar").fit, X, y)
# Test max_features
assert_raises(ValueError,
BaggingClassifier(base, max_features=-1).fit, X, y)
assert_raises(ValueError,
BaggingClassifier(base, max_features=0.0).fit, X, y)
assert_raises(ValueError,
BaggingClassifier(base, max_features=2.0).fit, X, y)
assert_raises(ValueError,
BaggingClassifier(base, max_features=5).fit, X, y)
assert_raises(ValueError,
BaggingClassifier(base, max_features="foobar").fit, X, y)
# Test support of decision_function
assert_false(hasattr(BaggingClassifier(base).fit(X, y), 'decision_function'))
def test_parallel_classification():
# Check parallel classification.
rng = check_random_state(0)
# Classification
X_train, X_test, y_train, y_test = train_test_split(iris.data,
iris.target,
random_state=rng)
ensemble = BaggingClassifier(DecisionTreeClassifier(),
n_jobs=3,
random_state=0).fit(X_train, y_train)
# predict_proba
ensemble.set_params(n_jobs=1)
y1 = ensemble.predict_proba(X_test)
ensemble.set_params(n_jobs=2)
y2 = ensemble.predict_proba(X_test)
assert_array_almost_equal(y1, y2)
ensemble = BaggingClassifier(DecisionTreeClassifier(),
n_jobs=1,
random_state=0).fit(X_train, y_train)
y3 = ensemble.predict_proba(X_test)
assert_array_almost_equal(y1, y3)
# decision_function
ensemble = BaggingClassifier(SVC(decision_function_shape='ovr'),
n_jobs=3,
random_state=0).fit(X_train, y_train)
ensemble.set_params(n_jobs=1)
decisions1 = ensemble.decision_function(X_test)
ensemble.set_params(n_jobs=2)
decisions2 = ensemble.decision_function(X_test)
assert_array_almost_equal(decisions1, decisions2)
ensemble = BaggingClassifier(SVC(decision_function_shape='ovr'),
n_jobs=1,
random_state=0).fit(X_train, y_train)
decisions3 = ensemble.decision_function(X_test)
assert_array_almost_equal(decisions1, decisions3)
def test_parallel_regression():
# Check parallel regression.
rng = check_random_state(0)
X_train, X_test, y_train, y_test = train_test_split(boston.data,
boston.target,
random_state=rng)
ensemble = BaggingRegressor(DecisionTreeRegressor(),
n_jobs=3,
random_state=0).fit(X_train, y_train)
ensemble.set_params(n_jobs=1)
y1 = ensemble.predict(X_test)
ensemble.set_params(n_jobs=2)
y2 = ensemble.predict(X_test)
assert_array_almost_equal(y1, y2)
ensemble = BaggingRegressor(DecisionTreeRegressor(),
n_jobs=1,
random_state=0).fit(X_train, y_train)
y3 = ensemble.predict(X_test)
assert_array_almost_equal(y1, y3)
def test_gridsearch():
# Check that bagging ensembles can be grid-searched.
# Transform iris into a binary classification task
X, y = iris.data, iris.target
y[y == 2] = 1
# Grid search with scoring based on decision_function
parameters = {'n_estimators': (1, 2),
'base_estimator__C': (1, 2)}
GridSearchCV(BaggingClassifier(SVC()),
parameters,
scoring="roc_auc").fit(X, y)
def test_base_estimator():
# Check base_estimator and its default values.
rng = check_random_state(0)
# Classification
X_train, X_test, y_train, y_test = train_test_split(iris.data,
iris.target,
random_state=rng)
ensemble = BaggingClassifier(None,
n_jobs=3,
random_state=0).fit(X_train, y_train)
assert_true(isinstance(ensemble.base_estimator_, DecisionTreeClassifier))
ensemble = BaggingClassifier(DecisionTreeClassifier(),
n_jobs=3,
random_state=0).fit(X_train, y_train)
assert_true(isinstance(ensemble.base_estimator_, DecisionTreeClassifier))
ensemble = BaggingClassifier(Perceptron(),
n_jobs=3,
random_state=0).fit(X_train, y_train)
assert_true(isinstance(ensemble.base_estimator_, Perceptron))
# Regression
X_train, X_test, y_train, y_test = train_test_split(boston.data,
boston.target,
random_state=rng)
ensemble = BaggingRegressor(None,
n_jobs=3,
random_state=0).fit(X_train, y_train)
assert_true(isinstance(ensemble.base_estimator_, DecisionTreeRegressor))
ensemble = BaggingRegressor(DecisionTreeRegressor(),
n_jobs=3,
random_state=0).fit(X_train, y_train)
assert_true(isinstance(ensemble.base_estimator_, DecisionTreeRegressor))
ensemble = BaggingRegressor(SVR(),
n_jobs=3,
random_state=0).fit(X_train, y_train)
assert_true(isinstance(ensemble.base_estimator_, SVR))
def test_bagging_with_pipeline():
estimator = BaggingClassifier(make_pipeline(SelectKBest(k=1),
DecisionTreeClassifier()),
max_features=2)
estimator.fit(iris.data, iris.target)
class DummyZeroEstimator(BaseEstimator):
def fit(self, X, y):
self.classes_ = np.unique(y)
return self
def predict(self, X):
return self.classes_[np.zeros(X.shape[0], dtype=int)]
def test_bagging_sample_weight_unsupported_but_passed():
estimator = BaggingClassifier(DummyZeroEstimator())
rng = check_random_state(0)
estimator.fit(iris.data, iris.target).predict(iris.data)
assert_raises(ValueError, estimator.fit, iris.data, iris.target,
sample_weight=rng.randint(10, size=(iris.data.shape[0])))
def test_warm_start(random_state=42):
# Test if fitting incrementally with warm start gives a forest of the
# right size and the same results as a normal fit.
X, y = make_hastie_10_2(n_samples=20, random_state=1)
clf_ws = None
for n_estimators in [5, 10]:
if clf_ws is None:
clf_ws = BaggingClassifier(n_estimators=n_estimators,
random_state=random_state,
warm_start=True)
else:
clf_ws.set_params(n_estimators=n_estimators)
clf_ws.fit(X, y)
assert_equal(len(clf_ws), n_estimators)
clf_no_ws = BaggingClassifier(n_estimators=10, random_state=random_state,
warm_start=False)
clf_no_ws.fit(X, y)
assert_equal(set([tree.random_state for tree in clf_ws]),
set([tree.random_state for tree in clf_no_ws]))
def test_warm_start_smaller_n_estimators():
# Test if warm start'ed second fit with smaller n_estimators raises error.
X, y = make_hastie_10_2(n_samples=20, random_state=1)
clf = BaggingClassifier(n_estimators=5, warm_start=True)
clf.fit(X, y)
clf.set_params(n_estimators=4)
assert_raises(ValueError, clf.fit, X, y)
def test_warm_start_equal_n_estimators():
# Test that nothing happens when fitting without increasing n_estimators
X, y = make_hastie_10_2(n_samples=20, random_state=1)
X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=43)
clf = BaggingClassifier(n_estimators=5, warm_start=True, random_state=83)
clf.fit(X_train, y_train)
y_pred = clf.predict(X_test)
# modify X to nonsense values, this should not change anything
X_train += 1.
assert_warns_message(UserWarning,
"Warm-start fitting without increasing n_estimators does not",
clf.fit, X_train, y_train)
assert_array_equal(y_pred, clf.predict(X_test))
def test_warm_start_equivalence():
# warm started classifier with 5+5 estimators should be equivalent to
# one classifier with 10 estimators
X, y = make_hastie_10_2(n_samples=20, random_state=1)
X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=43)
clf_ws = BaggingClassifier(n_estimators=5, warm_start=True,
random_state=3141)
clf_ws.fit(X_train, y_train)
clf_ws.set_params(n_estimators=10)
clf_ws.fit(X_train, y_train)
y1 = clf_ws.predict(X_test)
clf = BaggingClassifier(n_estimators=10, warm_start=False,
random_state=3141)
clf.fit(X_train, y_train)
y2 = clf.predict(X_test)
assert_array_almost_equal(y1, y2)
def test_warm_start_with_oob_score_fails():
# Check using oob_score and warm_start simultaneously fails
X, y = make_hastie_10_2(n_samples=20, random_state=1)
clf = BaggingClassifier(n_estimators=5, warm_start=True, oob_score=True)
assert_raises(ValueError, clf.fit, X, y)
def test_oob_score_removed_on_warm_start():
X, y = make_hastie_10_2(n_samples=2000, random_state=1)
clf = BaggingClassifier(n_estimators=50, oob_score=True)
clf.fit(X, y)
clf.set_params(warm_start=True, oob_score=False, n_estimators=100)
clf.fit(X, y)
assert_raises(AttributeError, getattr, clf, "oob_score_")
| bsd-3-clause |
ahara/kaggle_otto | otto/model/model_03_svm/svm.py | 1 | 2661 | """
5-fold CV - log loss 0.513778609795
"""
import numpy as np
import os
from hyperopt import fmin, hp, tpe
from sklearn import feature_extraction, preprocessing, svm
from sklearn.calibration import CalibratedClassifierCV
from sklearn.multiclass import OneVsRestClassifier
from otto_utils import consts, utils
MODEL_NAME = 'model_03_svm'
MODE = 'cv' # cv|submission|holdout|tune
# import data
train, labels, test, _, _ = utils.load_data()
# transform counts to TFIDF features
tfidf = feature_extraction.text.TfidfTransformer(smooth_idf=False)
train = tfidf.fit_transform(train).toarray()
test = tfidf.transform(test).toarray()
# encode labels
lbl_enc = preprocessing.LabelEncoder()
labels = lbl_enc.fit_transform(labels)
# train classifier
clf = OneVsRestClassifier(svm.SVC(C=4.919646+2., kernel='rbf', tol=.001,
verbose=True, probability=True, gamma=0.646508+.3, random_state=23))
if MODE == 'cv':
scores, predictions = utils.make_blender_cv(clf, train, labels, calibrate=True)
print 'CV:', scores, 'Mean log loss:', np.mean(scores)
utils.write_blender_data(consts.BLEND_PATH, MODEL_NAME + '.csv', predictions)
elif MODE == 'submission':
calibrated_classifier = CalibratedClassifierCV(clf, method='isotonic', cv=utils.get_cv(labels))
fitted_classifier = calibrated_classifier.fit(train, labels)
predictions = fitted_classifier.predict_proba(test)
utils.save_submission(consts.DATA_SAMPLE_SUBMISSION_PATH,
os.path.join(consts.ENSEMBLE_PATH, MODEL_NAME + '.csv'),
predictions)
elif MODE == 'holdout':
score = utils.hold_out_evaluation(clf, train, labels, calibrate=False, test_size=0.9)
print 'Log loss:', score
elif MODE == 'tune':
train, labels, valid, valid_labels = utils.stratified_split(train, labels, test_size=.8)
from sklearn.metrics import log_loss
# Objective function
def objective(args):
c, gamma = args
clf = OneVsRestClassifier(svm.SVC(C=c, kernel='rbf', tol=.001, gamma=gamma,
probability=True, random_state=23))
score1 = 0
score2 = utils.hold_out_evaluation(clf, train, labels, calibrate=False)
score = log_loss(valid_labels, clf.predict_proba(valid))
print 'C=%f, gamma=%f, score1=%f, score2=%f, score=%f' % (c, gamma, score1, score2, score)
return score
# Searching space
space = (
hp.uniform('c', 4, 10),
hp.uniform('gamma', 0.3, 3)
)
best_sln = fmin(objective, space, algo=tpe.suggest, max_evals=200)
print 'Best solution:', best_sln
else:
print 'Unknown mode'
| bsd-3-clause |
itoledoc/gWTO3 | DsaScorers3.py | 1 | 4632 | import numpy as np
import pandas as pd
import math
def calc_cond_score(pwv, maxpwvc, fraction):
"""
:param pwv:
:param maxpwvc:
:param fraction:
:return:
"""
frac = 1. / fraction
pwv_corr = 1 - (abs(pwv - maxpwvc) / 4.)
if pwv_corr < 0.1:
pwv_corr = 0.1
if frac < 1:
x = frac - 1.
sb_cond_score = 10 * (1 - (x ** 10.)) * pwv_corr
elif frac == 1:
sb_cond_score = 10.
else:
x = frac - 1
if frac <= 1.3:
sb_cond_score = (1. - (x / 0.3) ** 3.) * 10. * pwv_corr
else:
sb_cond_score = 0.
return sb_cond_score
def calc_array_score(name, array_kind, ar, dec, array_ar_sb, minar, maxar):
c_bmax = (0.4001 /
np.cos(math.radians(-23.0262015) - math.radians(dec)) +
0.6103)
corr = 1. / c_bmax
if array_kind == 'SEVEN-M' or array_kind == 'TP-Array':
sb_array_score = 10.
corr = 0
elif array_ar_sb == np.NaN or array_ar_sb <= 0:
sb_array_score = 0.
else:
arcorr = ar * corr
# if arcorr > maxar or arcorr < minar:
# print("WTF??? %s" % name)
if name.endswith('_TC'):
arcorr = minar / 0.8
if arcorr > 3.35:
arcorr = 3.35
if arcorr < 0.075:
arcorr = 0.075
if 0.9 * arcorr <= array_ar_sb <= 1.1 * arcorr:
sb_array_score = 10.
elif 0.8 * arcorr < array_ar_sb <= 1.2 * arcorr:
sb_array_score = 8.0
elif array_ar_sb < 0.8 * arcorr: # and not points:
l = 0.8 * arcorr - minar
sb_array_score = ((array_ar_sb - minar) / l) * 8.0
elif array_ar_sb > 1.2 * arcorr:
l = arcorr * 1.2 - maxar
try:
s = 8. / l
except ZeroDivisionError:
s = 8. / 1.e-5
sb_array_score = (array_ar_sb - maxar) * s
else:
# print("What happened with %s?" % name)
sb_array_score = -1.
return sb_array_score, ar * corr
def calc_sb_completion(observed, execount):
sb_completion = observed / execount
return 6 * sb_completion + 4.
def calc_executive_score():
return 10.
def calc_sciencerank_score(srank, max_scirank=1400.):
sb_science_score = 10. * (max_scirank - srank) / max_scirank
return sb_science_score
def calc_cycle_grade_score(grade, cycle):
if grade == 'A' and str(cycle).startswith('2015'):
sb_grade_score = 10.
elif str(cycle).startswith('2013'):
sb_grade_score = 8.
elif grade == 'B':
sb_grade_score = 4.
else:
sb_grade_score = -100.
return sb_grade_score
def calc_ha_scorer(ha):
sb_ha_scorer = ((math.cos(math.radians((ha + 1.) * 15.)) - 0.3) /
(1 - 0.3)) * 10.
return sb_ha_scorer
def calc_total_score(scores, weights=None):
if not weights:
weights = {'cond': 0.35, 'array': 0.05, 'sbcompletion': 0.20,
'executive': 0.05, 'sciencerank': 0.05, 'cyclegrade': 0.20,
'ha': 0.10}
score = 0.
keys = weights.keys()
for n, s in enumerate(scores):
score += weights[keys[n]] * s
return score
def calc_all_scores(pwv, maxpwvc, fraction, name, array_kind, ar, dec,
array_ar_sb, minar, maxar, observed, execount, srank,
grade, cycle, ha):
try:
cond_score = calc_cond_score(pwv, maxpwvc, fraction)
except ZeroDivisionError:
cond_score = -9999.0
array_score = calc_array_score(name, array_kind, ar, dec, array_ar_sb,
minar, maxar)
sbcompletion_score = calc_sb_completion(observed, execount)
executive_score = 10.
sciencerank_score = calc_sciencerank_score(srank)
cyclegrade_score = calc_cycle_grade_score(grade, cycle)
ha_score = calc_ha_scorer(ha)
score = calc_total_score(
[cond_score, array_score[0], sbcompletion_score,
executive_score, sciencerank_score, cyclegrade_score,
ha_score])
if cond_score == -9999.0:
score = -9999.0
return pd.Series([cond_score, array_score[0], sbcompletion_score,
executive_score, sciencerank_score, cyclegrade_score,
ha_score, score, array_score[1]],
index=[
'conditon score', 'array score',
'sb completion score', 'executive score',
'science rank score', 'cycle grade score',
'ha score', 'Score', 'AR PI'])
| gpl-2.0 |
ryfeus/lambda-packs | Sklearn_scipy_numpy/source/scipy/stats/tests/test_morestats.py | 17 | 50896 | # Author: Travis Oliphant, 2002
#
# Further enhancements and tests added by numerous SciPy developers.
#
from __future__ import division, print_function, absolute_import
import warnings
import numpy as np
from numpy.random import RandomState
from numpy.testing import (TestCase, run_module_suite, assert_array_equal,
assert_almost_equal, assert_array_less, assert_array_almost_equal,
assert_raises, assert_, assert_allclose, assert_equal, dec, assert_warns)
from scipy import stats
from common_tests import check_named_results
# Matplotlib is not a scipy dependency but is optionally used in probplot, so
# check if it's available
try:
import matplotlib.pyplot as plt
have_matplotlib = True
except:
have_matplotlib = False
g1 = [1.006, 0.996, 0.998, 1.000, 0.992, 0.993, 1.002, 0.999, 0.994, 1.000]
g2 = [0.998, 1.006, 1.000, 1.002, 0.997, 0.998, 0.996, 1.000, 1.006, 0.988]
g3 = [0.991, 0.987, 0.997, 0.999, 0.995, 0.994, 1.000, 0.999, 0.996, 0.996]
g4 = [1.005, 1.002, 0.994, 1.000, 0.995, 0.994, 0.998, 0.996, 1.002, 0.996]
g5 = [0.998, 0.998, 0.982, 0.990, 1.002, 0.984, 0.996, 0.993, 0.980, 0.996]
g6 = [1.009, 1.013, 1.009, 0.997, 0.988, 1.002, 0.995, 0.998, 0.981, 0.996]
g7 = [0.990, 1.004, 0.996, 1.001, 0.998, 1.000, 1.018, 1.010, 0.996, 1.002]
g8 = [0.998, 1.000, 1.006, 1.000, 1.002, 0.996, 0.998, 0.996, 1.002, 1.006]
g9 = [1.002, 0.998, 0.996, 0.995, 0.996, 1.004, 1.004, 0.998, 0.999, 0.991]
g10 = [0.991, 0.995, 0.984, 0.994, 0.997, 0.997, 0.991, 0.998, 1.004, 0.997]
class TestBayes_mvs(TestCase):
def test_basic(self):
# Expected values in this test simply taken from the function. For
# some checks regarding correctness of implementation, see review in
# gh-674
data = [6, 9, 12, 7, 8, 8, 13]
mean, var, std = stats.bayes_mvs(data)
assert_almost_equal(mean.statistic, 9.0)
assert_allclose(mean.minmax, (7.1036502226125329, 10.896349777387467),
rtol=1e-14)
assert_almost_equal(var.statistic, 10.0)
assert_allclose(var.minmax, (3.1767242068607087, 24.45910381334018),
rtol=1e-09)
assert_almost_equal(std.statistic, 2.9724954732045084, decimal=14)
assert_allclose(std.minmax, (1.7823367265645145, 4.9456146050146312),
rtol=1e-14)
def test_empty_input(self):
assert_raises(ValueError, stats.bayes_mvs, [])
def test_result_attributes(self):
x = np.arange(15)
attributes = ('statistic', 'minmax')
res = stats.bayes_mvs(x)
for i in res:
check_named_results(i, attributes)
class TestMvsdist(TestCase):
def test_basic(self):
data = [6, 9, 12, 7, 8, 8, 13]
mean, var, std = stats.mvsdist(data)
assert_almost_equal(mean.mean(), 9.0)
assert_allclose(mean.interval(0.9), (7.1036502226125329,
10.896349777387467), rtol=1e-14)
assert_almost_equal(var.mean(), 10.0)
assert_allclose(var.interval(0.9), (3.1767242068607087,
24.45910381334018), rtol=1e-09)
assert_almost_equal(std.mean(), 2.9724954732045084, decimal=14)
assert_allclose(std.interval(0.9), (1.7823367265645145,
4.9456146050146312), rtol=1e-14)
def test_empty_input(self):
assert_raises(ValueError, stats.mvsdist, [])
def test_bad_arg(self):
# Raise ValueError if fewer than two data points are given.
data = [1]
assert_raises(ValueError, stats.mvsdist, data)
def test_warns(self):
# regression test for gh-5270
# make sure there are no spurious divide-by-zero warnings
with warnings.catch_warnings():
warnings.simplefilter('error', RuntimeWarning)
[x.mean() for x in stats.mvsdist([1, 2, 3])]
[x.mean() for x in stats.mvsdist([1, 2, 3, 4, 5])]
class TestShapiro(TestCase):
def test_basic(self):
x1 = [0.11,7.87,4.61,10.14,7.95,3.14,0.46,
4.43,0.21,4.75,0.71,1.52,3.24,
0.93,0.42,4.97,9.53,4.55,0.47,6.66]
w,pw = stats.shapiro(x1)
assert_almost_equal(w,0.90047299861907959,6)
assert_almost_equal(pw,0.042089745402336121,6)
x2 = [1.36,1.14,2.92,2.55,1.46,1.06,5.27,-1.11,
3.48,1.10,0.88,-0.51,1.46,0.52,6.20,1.69,
0.08,3.67,2.81,3.49]
w,pw = stats.shapiro(x2)
assert_almost_equal(w,0.9590270,6)
assert_almost_equal(pw,0.52460,3)
# Verified against R
np.random.seed(12345678)
x3 = stats.norm.rvs(loc=5, scale=3, size=100)
w, pw = stats.shapiro(x3)
assert_almost_equal(w, 0.9772805571556091, decimal=6)
assert_almost_equal(pw, 0.08144091814756393, decimal=3)
# Extracted from original paper
x4 = [0.139, 0.157, 0.175, 0.256, 0.344, 0.413, 0.503, 0.577, 0.614,
0.655, 0.954, 1.392, 1.557, 1.648, 1.690, 1.994, 2.174, 2.206,
3.245, 3.510, 3.571, 4.354, 4.980, 6.084, 8.351]
W_expected = 0.83467
p_expected = 0.000914
w, pw = stats.shapiro(x4)
assert_almost_equal(w, W_expected, decimal=4)
assert_almost_equal(pw, p_expected, decimal=5)
def test_2d(self):
x1 = [[0.11, 7.87, 4.61, 10.14, 7.95, 3.14, 0.46,
4.43, 0.21, 4.75], [0.71, 1.52, 3.24,
0.93, 0.42, 4.97, 9.53, 4.55, 0.47, 6.66]]
w, pw = stats.shapiro(x1)
assert_almost_equal(w, 0.90047299861907959, 6)
assert_almost_equal(pw, 0.042089745402336121, 6)
x2 = [[1.36, 1.14, 2.92, 2.55, 1.46, 1.06, 5.27, -1.11,
3.48, 1.10], [0.88, -0.51, 1.46, 0.52, 6.20, 1.69,
0.08, 3.67, 2.81, 3.49]]
w, pw = stats.shapiro(x2)
assert_almost_equal(w, 0.9590270, 6)
assert_almost_equal(pw, 0.52460, 3)
def test_empty_input(self):
assert_raises(ValueError, stats.shapiro, [])
assert_raises(ValueError, stats.shapiro, [[], [], []])
def test_not_enough_values(self):
assert_raises(ValueError, stats.shapiro, [1, 2])
assert_raises(ValueError, stats.shapiro, [[], [2]])
def test_bad_arg(self):
# Length of x is less than 3.
x = [1]
assert_raises(ValueError, stats.shapiro, x)
def test_nan_input(self):
x = np.arange(10.)
x[9] = np.nan
w, pw = stats.shapiro(x)
assert_equal(w, np.nan)
assert_almost_equal(pw, 1.0)
class TestAnderson(TestCase):
def test_normal(self):
rs = RandomState(1234567890)
x1 = rs.standard_exponential(size=50)
x2 = rs.standard_normal(size=50)
A,crit,sig = stats.anderson(x1)
assert_array_less(crit[:-1], A)
A,crit,sig = stats.anderson(x2)
assert_array_less(A, crit[-2:])
def test_expon(self):
rs = RandomState(1234567890)
x1 = rs.standard_exponential(size=50)
x2 = rs.standard_normal(size=50)
A,crit,sig = stats.anderson(x1,'expon')
assert_array_less(A, crit[-2:])
olderr = np.seterr(all='ignore')
try:
A,crit,sig = stats.anderson(x2,'expon')
finally:
np.seterr(**olderr)
assert_(A > crit[-1])
def test_bad_arg(self):
assert_raises(ValueError, stats.anderson, [1], dist='plate_of_shrimp')
def test_result_attributes(self):
rs = RandomState(1234567890)
x = rs.standard_exponential(size=50)
res = stats.anderson(x)
attributes = ('statistic', 'critical_values', 'significance_level')
check_named_results(res, attributes)
class TestAndersonKSamp(TestCase):
def test_example1a(self):
# Example data from Scholz & Stephens (1987), originally
# published in Lehmann (1995, Nonparametrics, Statistical
# Methods Based on Ranks, p. 309)
# Pass a mixture of lists and arrays
t1 = [38.7, 41.5, 43.8, 44.5, 45.5, 46.0, 47.7, 58.0]
t2 = np.array([39.2, 39.3, 39.7, 41.4, 41.8, 42.9, 43.3, 45.8])
t3 = np.array([34.0, 35.0, 39.0, 40.0, 43.0, 43.0, 44.0, 45.0])
t4 = np.array([34.0, 34.8, 34.8, 35.4, 37.2, 37.8, 41.2, 42.8])
assert_warns(UserWarning, stats.anderson_ksamp, (t1, t2, t3, t4),
midrank=False)
with warnings.catch_warnings():
warnings.filterwarnings('ignore', message='approximate p-value')
Tk, tm, p = stats.anderson_ksamp((t1, t2, t3, t4), midrank=False)
assert_almost_equal(Tk, 4.449, 3)
assert_array_almost_equal([0.4985, 1.3237, 1.9158, 2.4930, 3.2459],
tm, 4)
assert_almost_equal(p, 0.0021, 4)
def test_example1b(self):
# Example data from Scholz & Stephens (1987), originally
# published in Lehmann (1995, Nonparametrics, Statistical
# Methods Based on Ranks, p. 309)
# Pass arrays
t1 = np.array([38.7, 41.5, 43.8, 44.5, 45.5, 46.0, 47.7, 58.0])
t2 = np.array([39.2, 39.3, 39.7, 41.4, 41.8, 42.9, 43.3, 45.8])
t3 = np.array([34.0, 35.0, 39.0, 40.0, 43.0, 43.0, 44.0, 45.0])
t4 = np.array([34.0, 34.8, 34.8, 35.4, 37.2, 37.8, 41.2, 42.8])
with warnings.catch_warnings():
warnings.filterwarnings('ignore', message='approximate p-value')
Tk, tm, p = stats.anderson_ksamp((t1, t2, t3, t4), midrank=True)
assert_almost_equal(Tk, 4.480, 3)
assert_array_almost_equal([0.4985, 1.3237, 1.9158, 2.4930, 3.2459],
tm, 4)
assert_almost_equal(p, 0.0020, 4)
def test_example2a(self):
# Example data taken from an earlier technical report of
# Scholz and Stephens
# Pass lists instead of arrays
t1 = [194, 15, 41, 29, 33, 181]
t2 = [413, 14, 58, 37, 100, 65, 9, 169, 447, 184, 36, 201, 118]
t3 = [34, 31, 18, 18, 67, 57, 62, 7, 22, 34]
t4 = [90, 10, 60, 186, 61, 49, 14, 24, 56, 20, 79, 84, 44, 59, 29,
118, 25, 156, 310, 76, 26, 44, 23, 62]
t5 = [130, 208, 70, 101, 208]
t6 = [74, 57, 48, 29, 502, 12, 70, 21, 29, 386, 59, 27]
t7 = [55, 320, 56, 104, 220, 239, 47, 246, 176, 182, 33]
t8 = [23, 261, 87, 7, 120, 14, 62, 47, 225, 71, 246, 21, 42, 20, 5,
12, 120, 11, 3, 14, 71, 11, 14, 11, 16, 90, 1, 16, 52, 95]
t9 = [97, 51, 11, 4, 141, 18, 142, 68, 77, 80, 1, 16, 106, 206, 82,
54, 31, 216, 46, 111, 39, 63, 18, 191, 18, 163, 24]
t10 = [50, 44, 102, 72, 22, 39, 3, 15, 197, 188, 79, 88, 46, 5, 5, 36,
22, 139, 210, 97, 30, 23, 13, 14]
t11 = [359, 9, 12, 270, 603, 3, 104, 2, 438]
t12 = [50, 254, 5, 283, 35, 12]
t13 = [487, 18, 100, 7, 98, 5, 85, 91, 43, 230, 3, 130]
t14 = [102, 209, 14, 57, 54, 32, 67, 59, 134, 152, 27, 14, 230, 66,
61, 34]
with warnings.catch_warnings():
warnings.filterwarnings('ignore', message='approximate p-value')
Tk, tm, p = stats.anderson_ksamp((t1, t2, t3, t4, t5, t6, t7, t8,
t9, t10, t11, t12, t13, t14),
midrank=False)
assert_almost_equal(Tk, 3.288, 3)
assert_array_almost_equal([0.5990, 1.3269, 1.8052, 2.2486, 2.8009],
tm, 4)
assert_almost_equal(p, 0.0041, 4)
def test_example2b(self):
# Example data taken from an earlier technical report of
# Scholz and Stephens
t1 = [194, 15, 41, 29, 33, 181]
t2 = [413, 14, 58, 37, 100, 65, 9, 169, 447, 184, 36, 201, 118]
t3 = [34, 31, 18, 18, 67, 57, 62, 7, 22, 34]
t4 = [90, 10, 60, 186, 61, 49, 14, 24, 56, 20, 79, 84, 44, 59, 29,
118, 25, 156, 310, 76, 26, 44, 23, 62]
t5 = [130, 208, 70, 101, 208]
t6 = [74, 57, 48, 29, 502, 12, 70, 21, 29, 386, 59, 27]
t7 = [55, 320, 56, 104, 220, 239, 47, 246, 176, 182, 33]
t8 = [23, 261, 87, 7, 120, 14, 62, 47, 225, 71, 246, 21, 42, 20, 5,
12, 120, 11, 3, 14, 71, 11, 14, 11, 16, 90, 1, 16, 52, 95]
t9 = [97, 51, 11, 4, 141, 18, 142, 68, 77, 80, 1, 16, 106, 206, 82,
54, 31, 216, 46, 111, 39, 63, 18, 191, 18, 163, 24]
t10 = [50, 44, 102, 72, 22, 39, 3, 15, 197, 188, 79, 88, 46, 5, 5, 36,
22, 139, 210, 97, 30, 23, 13, 14]
t11 = [359, 9, 12, 270, 603, 3, 104, 2, 438]
t12 = [50, 254, 5, 283, 35, 12]
t13 = [487, 18, 100, 7, 98, 5, 85, 91, 43, 230, 3, 130]
t14 = [102, 209, 14, 57, 54, 32, 67, 59, 134, 152, 27, 14, 230, 66,
61, 34]
with warnings.catch_warnings():
warnings.filterwarnings('ignore', message='approximate p-value')
Tk, tm, p = stats.anderson_ksamp((t1, t2, t3, t4, t5, t6, t7, t8,
t9, t10, t11, t12, t13, t14),
midrank=True)
assert_almost_equal(Tk, 3.294, 3)
assert_array_almost_equal([0.5990, 1.3269, 1.8052, 2.2486, 2.8009],
tm, 4)
assert_almost_equal(p, 0.0041, 4)
def test_not_enough_samples(self):
assert_raises(ValueError, stats.anderson_ksamp, np.ones(5))
def test_no_distinct_observations(self):
assert_raises(ValueError, stats.anderson_ksamp,
(np.ones(5), np.ones(5)))
def test_empty_sample(self):
assert_raises(ValueError, stats.anderson_ksamp, (np.ones(5), []))
def test_result_attributes(self):
# Example data from Scholz & Stephens (1987), originally
# published in Lehmann (1995, Nonparametrics, Statistical
# Methods Based on Ranks, p. 309)
# Pass a mixture of lists and arrays
t1 = [38.7, 41.5, 43.8, 44.5, 45.5, 46.0, 47.7, 58.0]
t2 = np.array([39.2, 39.3, 39.7, 41.4, 41.8, 42.9, 43.3, 45.8])
t3 = np.array([34.0, 35.0, 39.0, 40.0, 43.0, 43.0, 44.0, 45.0])
t4 = np.array([34.0, 34.8, 34.8, 35.4, 37.2, 37.8, 41.2, 42.8])
with warnings.catch_warnings():
warnings.filterwarnings('ignore', message='approximate p-value')
res = stats.anderson_ksamp((t1, t2, t3, t4), midrank=False)
attributes = ('statistic', 'critical_values', 'significance_level')
check_named_results(res, attributes)
class TestAnsari(TestCase):
def test_small(self):
x = [1,2,3,3,4]
y = [3,2,6,1,6,1,4,1]
with warnings.catch_warnings(record=True): # Ties preclude use ...
W, pval = stats.ansari(x,y)
assert_almost_equal(W,23.5,11)
assert_almost_equal(pval,0.13499256881897437,11)
def test_approx(self):
ramsay = np.array((111, 107, 100, 99, 102, 106, 109, 108, 104, 99,
101, 96, 97, 102, 107, 113, 116, 113, 110, 98))
parekh = np.array((107, 108, 106, 98, 105, 103, 110, 105, 104,
100, 96, 108, 103, 104, 114, 114, 113, 108, 106, 99))
with warnings.catch_warnings():
warnings.filterwarnings('ignore',
message="Ties preclude use of exact statistic.")
W, pval = stats.ansari(ramsay, parekh)
assert_almost_equal(W,185.5,11)
assert_almost_equal(pval,0.18145819972867083,11)
def test_exact(self):
W,pval = stats.ansari([1,2,3,4],[15,5,20,8,10,12])
assert_almost_equal(W,10.0,11)
assert_almost_equal(pval,0.533333333333333333,7)
def test_bad_arg(self):
assert_raises(ValueError, stats.ansari, [], [1])
assert_raises(ValueError, stats.ansari, [1], [])
def test_result_attributes(self):
x = [1, 2, 3, 3, 4]
y = [3, 2, 6, 1, 6, 1, 4, 1]
with warnings.catch_warnings(record=True): # Ties preclude use ...
res = stats.ansari(x, y)
attributes = ('statistic', 'pvalue')
check_named_results(res, attributes)
class TestBartlett(TestCase):
def test_data(self):
args = [g1, g2, g3, g4, g5, g6, g7, g8, g9, g10]
T, pval = stats.bartlett(*args)
assert_almost_equal(T,20.78587342806484,7)
assert_almost_equal(pval,0.0136358632781,7)
def test_bad_arg(self):
# Too few args raises ValueError.
assert_raises(ValueError, stats.bartlett, [1])
def test_result_attributes(self):
args = [g1, g2, g3, g4, g5, g6, g7, g8, g9, g10]
res = stats.bartlett(*args)
attributes = ('statistic', 'pvalue')
check_named_results(res, attributes)
def test_empty_arg(self):
args = (g1, g2, g3, g4, g5, g6, g7, g8, g9, g10, [])
assert_equal((np.nan, np.nan), stats.bartlett(*args))
class TestLevene(TestCase):
def test_data(self):
args = [g1, g2, g3, g4, g5, g6, g7, g8, g9, g10]
W, pval = stats.levene(*args)
assert_almost_equal(W,1.7059176930008939,7)
assert_almost_equal(pval,0.0990829755522,7)
def test_trimmed1(self):
# Test that center='trimmed' gives the same result as center='mean'
# when proportiontocut=0.
W1, pval1 = stats.levene(g1, g2, g3, center='mean')
W2, pval2 = stats.levene(g1, g2, g3, center='trimmed', proportiontocut=0.0)
assert_almost_equal(W1, W2)
assert_almost_equal(pval1, pval2)
def test_trimmed2(self):
x = [1.2, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 100.0]
y = [0.0, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5, 200.0]
np.random.seed(1234)
x2 = np.random.permutation(x)
# Use center='trimmed'
W0, pval0 = stats.levene(x, y, center='trimmed', proportiontocut=0.125)
W1, pval1 = stats.levene(x2, y, center='trimmed', proportiontocut=0.125)
# Trim the data here, and use center='mean'
W2, pval2 = stats.levene(x[1:-1], y[1:-1], center='mean')
# Result should be the same.
assert_almost_equal(W0, W2)
assert_almost_equal(W1, W2)
assert_almost_equal(pval1, pval2)
def test_equal_mean_median(self):
x = np.linspace(-1,1,21)
np.random.seed(1234)
x2 = np.random.permutation(x)
y = x**3
W1, pval1 = stats.levene(x, y, center='mean')
W2, pval2 = stats.levene(x2, y, center='median')
assert_almost_equal(W1, W2)
assert_almost_equal(pval1, pval2)
def test_bad_keyword(self):
x = np.linspace(-1,1,21)
assert_raises(TypeError, stats.levene, x, x, portiontocut=0.1)
def test_bad_center_value(self):
x = np.linspace(-1,1,21)
assert_raises(ValueError, stats.levene, x, x, center='trim')
def test_too_few_args(self):
assert_raises(ValueError, stats.levene, [1])
def test_result_attributes(self):
args = [g1, g2, g3, g4, g5, g6, g7, g8, g9, g10]
res = stats.levene(*args)
attributes = ('statistic', 'pvalue')
check_named_results(res, attributes)
class TestBinomP(TestCase):
def test_data(self):
pval = stats.binom_test(100,250)
assert_almost_equal(pval,0.0018833009350757682,11)
pval = stats.binom_test(201,405)
assert_almost_equal(pval,0.92085205962670713,11)
pval = stats.binom_test([682,243],p=3.0/4)
assert_almost_equal(pval,0.38249155957481695,11)
def test_bad_len_x(self):
# Length of x must be 1 or 2.
assert_raises(ValueError, stats.binom_test, [1,2,3])
def test_bad_n(self):
# len(x) is 1, but n is invalid.
# Missing n
assert_raises(ValueError, stats.binom_test, [100])
# n less than x[0]
assert_raises(ValueError, stats.binom_test, [100], n=50)
def test_bad_p(self):
assert_raises(ValueError, stats.binom_test, [50, 50], p=2.0)
def test_alternatives(self):
res = stats.binom_test(51, 235, p=1./6, alternative='less')
assert_almost_equal(res, 0.982022657605858)
res = stats.binom_test(51, 235, p=1./6, alternative='greater')
assert_almost_equal(res, 0.02654424571169085)
res = stats.binom_test(51, 235, p=1./6, alternative='two-sided')
assert_almost_equal(res, 0.0437479701823997)
class TestFligner(TestCase):
def test_data(self):
# numbers from R: fligner.test in package stats
x1 = np.arange(5)
assert_array_almost_equal(stats.fligner(x1,x1**2),
(3.2282229927203536, 0.072379187848207877), 11)
def test_trimmed1(self):
# Test that center='trimmed' gives the same result as center='mean'
# when proportiontocut=0.
Xsq1, pval1 = stats.fligner(g1, g2, g3, center='mean')
Xsq2, pval2 = stats.fligner(g1, g2, g3, center='trimmed', proportiontocut=0.0)
assert_almost_equal(Xsq1, Xsq2)
assert_almost_equal(pval1, pval2)
def test_trimmed2(self):
x = [1.2, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 100.0]
y = [0.0, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5, 200.0]
# Use center='trimmed'
Xsq1, pval1 = stats.fligner(x, y, center='trimmed', proportiontocut=0.125)
# Trim the data here, and use center='mean'
Xsq2, pval2 = stats.fligner(x[1:-1], y[1:-1], center='mean')
# Result should be the same.
assert_almost_equal(Xsq1, Xsq2)
assert_almost_equal(pval1, pval2)
# The following test looks reasonable at first, but fligner() uses the
# function stats.rankdata(), and in one of the cases in this test,
# there are ties, while in the other (because of normal rounding
# errors) there are not. This difference leads to differences in the
# third significant digit of W.
#
#def test_equal_mean_median(self):
# x = np.linspace(-1,1,21)
# y = x**3
# W1, pval1 = stats.fligner(x, y, center='mean')
# W2, pval2 = stats.fligner(x, y, center='median')
# assert_almost_equal(W1, W2)
# assert_almost_equal(pval1, pval2)
def test_bad_keyword(self):
x = np.linspace(-1,1,21)
assert_raises(TypeError, stats.fligner, x, x, portiontocut=0.1)
def test_bad_center_value(self):
x = np.linspace(-1,1,21)
assert_raises(ValueError, stats.fligner, x, x, center='trim')
def test_bad_num_args(self):
# Too few args raises ValueError.
assert_raises(ValueError, stats.fligner, [1])
def test_empty_arg(self):
x = np.arange(5)
assert_equal((np.nan, np.nan), stats.fligner(x, x**2, []))
class TestMood(TestCase):
def test_mood(self):
# numbers from R: mood.test in package stats
x1 = np.arange(5)
assert_array_almost_equal(stats.mood(x1, x1**2),
(-1.3830857299399906, 0.16663858066771478), 11)
def test_mood_order_of_args(self):
# z should change sign when the order of arguments changes, pvalue
# should not change
np.random.seed(1234)
x1 = np.random.randn(10, 1)
x2 = np.random.randn(15, 1)
z1, p1 = stats.mood(x1, x2)
z2, p2 = stats.mood(x2, x1)
assert_array_almost_equal([z1, p1], [-z2, p2])
def test_mood_with_axis_none(self):
#Test with axis = None, compare with results from R
x1 = [-0.626453810742332, 0.183643324222082, -0.835628612410047,
1.59528080213779, 0.329507771815361, -0.820468384118015,
0.487429052428485, 0.738324705129217, 0.575781351653492,
-0.305388387156356, 1.51178116845085, 0.389843236411431,
-0.621240580541804, -2.2146998871775, 1.12493091814311,
-0.0449336090152309, -0.0161902630989461, 0.943836210685299,
0.821221195098089, 0.593901321217509]
x2 = [-0.896914546624981, 0.184849184646742, 1.58784533120882,
-1.13037567424629, -0.0802517565509893, 0.132420284381094,
0.707954729271733, -0.23969802417184, 1.98447393665293,
-0.138787012119665, 0.417650750792556, 0.981752777463662,
-0.392695355503813, -1.03966897694891, 1.78222896030858,
-2.31106908460517, 0.878604580921265, 0.035806718015226,
1.01282869212708, 0.432265154539617, 2.09081920524915,
-1.19992581964387, 1.58963820029007, 1.95465164222325,
0.00493777682814261, -2.45170638784613, 0.477237302613617,
-0.596558168631403, 0.792203270299649, 0.289636710177348]
x1 = np.array(x1)
x2 = np.array(x2)
x1.shape = (10, 2)
x2.shape = (15, 2)
assert_array_almost_equal(stats.mood(x1, x2, axis=None),
[-1.31716607555, 0.18778296257])
def test_mood_2d(self):
# Test if the results of mood test in 2-D case are consistent with the
# R result for the same inputs. Numbers from R mood.test().
ny = 5
np.random.seed(1234)
x1 = np.random.randn(10, ny)
x2 = np.random.randn(15, ny)
z_vectest, pval_vectest = stats.mood(x1, x2)
for j in range(ny):
assert_array_almost_equal([z_vectest[j], pval_vectest[j]],
stats.mood(x1[:, j], x2[:, j]))
# inverse order of dimensions
x1 = x1.transpose()
x2 = x2.transpose()
z_vectest, pval_vectest = stats.mood(x1, x2, axis=1)
for i in range(ny):
# check axis handling is self consistent
assert_array_almost_equal([z_vectest[i], pval_vectest[i]],
stats.mood(x1[i, :], x2[i, :]))
def test_mood_3d(self):
shape = (10, 5, 6)
np.random.seed(1234)
x1 = np.random.randn(*shape)
x2 = np.random.randn(*shape)
for axis in range(3):
z_vectest, pval_vectest = stats.mood(x1, x2, axis=axis)
# Tests that result for 3-D arrays is equal to that for the
# same calculation on a set of 1-D arrays taken from the
# 3-D array
axes_idx = ([1, 2], [0, 2], [0, 1]) # the two axes != axis
for i in range(shape[axes_idx[axis][0]]):
for j in range(shape[axes_idx[axis][1]]):
if axis == 0:
slice1 = x1[:, i, j]
slice2 = x2[:, i, j]
elif axis == 1:
slice1 = x1[i, :, j]
slice2 = x2[i, :, j]
else:
slice1 = x1[i, j, :]
slice2 = x2[i, j, :]
assert_array_almost_equal([z_vectest[i, j],
pval_vectest[i, j]],
stats.mood(slice1, slice2))
def test_mood_bad_arg(self):
# Raise ValueError when the sum of the lengths of the args is less than 3
assert_raises(ValueError, stats.mood, [1], [])
class TestProbplot(TestCase):
def test_basic(self):
np.random.seed(12345)
x = stats.norm.rvs(size=20)
osm, osr = stats.probplot(x, fit=False)
osm_expected = [-1.8241636, -1.38768012, -1.11829229, -0.91222575,
-0.73908135, -0.5857176, -0.44506467, -0.31273668,
-0.18568928, -0.06158146, 0.06158146, 0.18568928,
0.31273668, 0.44506467, 0.5857176, 0.73908135,
0.91222575, 1.11829229, 1.38768012, 1.8241636]
assert_allclose(osr, np.sort(x))
assert_allclose(osm, osm_expected)
res, res_fit = stats.probplot(x, fit=True)
res_fit_expected = [1.05361841, 0.31297795, 0.98741609]
assert_allclose(res_fit, res_fit_expected)
def test_sparams_keyword(self):
np.random.seed(123456)
x = stats.norm.rvs(size=100)
# Check that None, () and 0 (loc=0, for normal distribution) all work
# and give the same results
osm1, osr1 = stats.probplot(x, sparams=None, fit=False)
osm2, osr2 = stats.probplot(x, sparams=0, fit=False)
osm3, osr3 = stats.probplot(x, sparams=(), fit=False)
assert_allclose(osm1, osm2)
assert_allclose(osm1, osm3)
assert_allclose(osr1, osr2)
assert_allclose(osr1, osr3)
# Check giving (loc, scale) params for normal distribution
osm, osr = stats.probplot(x, sparams=(), fit=False)
def test_dist_keyword(self):
np.random.seed(12345)
x = stats.norm.rvs(size=20)
osm1, osr1 = stats.probplot(x, fit=False, dist='t', sparams=(3,))
osm2, osr2 = stats.probplot(x, fit=False, dist=stats.t, sparams=(3,))
assert_allclose(osm1, osm2)
assert_allclose(osr1, osr2)
assert_raises(ValueError, stats.probplot, x, dist='wrong-dist-name')
assert_raises(AttributeError, stats.probplot, x, dist=[])
class custom_dist(object):
"""Some class that looks just enough like a distribution."""
def ppf(self, q):
return stats.norm.ppf(q, loc=2)
osm1, osr1 = stats.probplot(x, sparams=(2,), fit=False)
osm2, osr2 = stats.probplot(x, dist=custom_dist(), fit=False)
assert_allclose(osm1, osm2)
assert_allclose(osr1, osr2)
@dec.skipif(not have_matplotlib)
def test_plot_kwarg(self):
np.random.seed(7654321)
fig = plt.figure()
fig.add_subplot(111)
x = stats.t.rvs(3, size=100)
res1, fitres1 = stats.probplot(x, plot=plt)
plt.close()
res2, fitres2 = stats.probplot(x, plot=None)
res3 = stats.probplot(x, fit=False, plot=plt)
plt.close()
res4 = stats.probplot(x, fit=False, plot=None)
# Check that results are consistent between combinations of `fit` and
# `plot` keywords.
assert_(len(res1) == len(res2) == len(res3) == len(res4) == 2)
assert_allclose(res1, res2)
assert_allclose(res1, res3)
assert_allclose(res1, res4)
assert_allclose(fitres1, fitres2)
# Check that a Matplotlib Axes object is accepted
fig = plt.figure()
ax = fig.add_subplot(111)
stats.probplot(x, fit=False, plot=ax)
plt.close()
def test_probplot_bad_args(self):
# Raise ValueError when given an invalid distribution.
assert_raises(ValueError, stats.probplot, [1], dist="plate_of_shrimp")
def test_empty(self):
assert_equal(stats.probplot([], fit=False),
(np.array([]), np.array([])))
assert_equal(stats.probplot([], fit=True),
((np.array([]), np.array([])),
(np.nan, np.nan, 0.0)))
def test_array_of_size_one(self):
with np.errstate(invalid='ignore'):
assert_equal(stats.probplot([1], fit=True),
((np.array([0.]), np.array([1])),
(np.nan, np.nan, 0.0)))
def test_wilcoxon_bad_arg():
# Raise ValueError when two args of different lengths are given or
# zero_method is unknown.
assert_raises(ValueError, stats.wilcoxon, [1], [1,2])
assert_raises(ValueError, stats.wilcoxon, [1,2], [1,2], "dummy")
class TestKstat(TestCase):
def test_moments_normal_distribution(self):
np.random.seed(32149)
data = np.random.randn(12345)
moments = []
for n in [1, 2, 3, 4]:
moments.append(stats.kstat(data, n))
expected = [0.011315, 1.017931, 0.05811052, 0.0754134]
assert_allclose(moments, expected, rtol=1e-4)
# test equivalence with `stats.moment`
m1 = stats.moment(data, moment=1)
m2 = stats.moment(data, moment=2)
m3 = stats.moment(data, moment=3)
assert_allclose((m1, m2, m3), expected[:-1], atol=0.02, rtol=1e-2)
def test_empty_input(self):
assert_raises(ValueError, stats.kstat, [])
def test_nan_input(self):
data = np.arange(10.)
data[6] = np.nan
assert_equal(stats.kstat(data), np.nan)
def test_kstat_bad_arg(self):
# Raise ValueError if n > 4 or n < 1.
data = np.arange(10)
for n in [0, 4.001]:
assert_raises(ValueError, stats.kstat, data, n=n)
class TestKstatVar(TestCase):
def test_empty_input(self):
assert_raises(ValueError, stats.kstatvar, [])
def test_nan_input(self):
data = np.arange(10.)
data[6] = np.nan
assert_equal(stats.kstat(data), np.nan)
def test_bad_arg(self):
# Raise ValueError is n is not 1 or 2.
data = [1]
n = 10
assert_raises(ValueError, stats.kstatvar, data, n=n)
class TestPpccPlot(TestCase):
def setUp(self):
np.random.seed(7654321)
self.x = stats.loggamma.rvs(5, size=500) + 5
def test_basic(self):
N = 5
svals, ppcc = stats.ppcc_plot(self.x, -10, 10, N=N)
ppcc_expected = [0.21139644, 0.21384059, 0.98766719, 0.97980182, 0.93519298]
assert_allclose(svals, np.linspace(-10, 10, num=N))
assert_allclose(ppcc, ppcc_expected)
def test_dist(self):
# Test that we can specify distributions both by name and as objects.
svals1, ppcc1 = stats.ppcc_plot(self.x, -10, 10, dist='tukeylambda')
svals2, ppcc2 = stats.ppcc_plot(self.x, -10, 10, dist=stats.tukeylambda)
assert_allclose(svals1, svals2, rtol=1e-20)
assert_allclose(ppcc1, ppcc2, rtol=1e-20)
# Test that 'tukeylambda' is the default dist
svals3, ppcc3 = stats.ppcc_plot(self.x, -10, 10)
assert_allclose(svals1, svals3, rtol=1e-20)
assert_allclose(ppcc1, ppcc3, rtol=1e-20)
@dec.skipif(not have_matplotlib)
def test_plot_kwarg(self):
# Check with the matplotlib.pyplot module
fig = plt.figure()
fig.add_subplot(111)
stats.ppcc_plot(self.x, -20, 20, plot=plt)
plt.close()
# Check that a Matplotlib Axes object is accepted
fig.add_subplot(111)
ax = fig.add_subplot(111)
stats.ppcc_plot(self.x, -20, 20, plot=ax)
plt.close()
def test_invalid_inputs(self):
# `b` has to be larger than `a`
assert_raises(ValueError, stats.ppcc_plot, self.x, 1, 0)
# Raise ValueError when given an invalid distribution.
assert_raises(ValueError, stats.ppcc_plot, [1, 2, 3], 0, 1,
dist="plate_of_shrimp")
def test_empty(self):
# For consistency with probplot return for one empty array,
# ppcc contains all zeros and svals is the same as for normal array
# input.
svals, ppcc = stats.ppcc_plot([], 0, 1)
assert_allclose(svals, np.linspace(0, 1, num=80))
assert_allclose(ppcc, np.zeros(80, dtype=float))
class TestPpccMax(TestCase):
def test_ppcc_max_bad_arg(self):
# Raise ValueError when given an invalid distribution.
data = [1]
assert_raises(ValueError, stats.ppcc_max, data, dist="plate_of_shrimp")
def test_ppcc_max_basic(self):
np.random.seed(1234567)
x = stats.tukeylambda.rvs(-0.7, loc=2, scale=0.5, size=10000) + 1e4
# On Python 2.6 the result is accurate to 5 decimals. On Python >= 2.7
# it is accurate up to 16 decimals
assert_almost_equal(stats.ppcc_max(x), -0.71215366521264145, decimal=5)
def test_dist(self):
np.random.seed(1234567)
x = stats.tukeylambda.rvs(-0.7, loc=2, scale=0.5, size=10000) + 1e4
# Test that we can specify distributions both by name and as objects.
max1 = stats.ppcc_max(x, dist='tukeylambda')
max2 = stats.ppcc_max(x, dist=stats.tukeylambda)
assert_almost_equal(max1, -0.71215366521264145, decimal=5)
assert_almost_equal(max2, -0.71215366521264145, decimal=5)
# Test that 'tukeylambda' is the default dist
max3 = stats.ppcc_max(x)
assert_almost_equal(max3, -0.71215366521264145, decimal=5)
def test_brack(self):
np.random.seed(1234567)
x = stats.tukeylambda.rvs(-0.7, loc=2, scale=0.5, size=10000) + 1e4
assert_raises(ValueError, stats.ppcc_max, x, brack=(0.0, 1.0, 0.5))
# On Python 2.6 the result is accurate to 5 decimals. On Python >= 2.7
# it is accurate up to 16 decimals
assert_almost_equal(stats.ppcc_max(x, brack=(0, 1)),
-0.71215366521264145, decimal=5)
# On Python 2.6 the result is accurate to 5 decimals. On Python >= 2.7
# it is accurate up to 16 decimals
assert_almost_equal(stats.ppcc_max(x, brack=(-2, 2)),
-0.71215366521264145, decimal=5)
class TestBoxcox_llf(TestCase):
def test_basic(self):
np.random.seed(54321)
x = stats.norm.rvs(size=10000, loc=10)
lmbda = 1
llf = stats.boxcox_llf(lmbda, x)
llf_expected = -x.size / 2. * np.log(np.sum(x.std()**2))
assert_allclose(llf, llf_expected)
def test_array_like(self):
np.random.seed(54321)
x = stats.norm.rvs(size=100, loc=10)
lmbda = 1
llf = stats.boxcox_llf(lmbda, x)
llf2 = stats.boxcox_llf(lmbda, list(x))
assert_allclose(llf, llf2, rtol=1e-12)
def test_2d_input(self):
# Note: boxcox_llf() was already working with 2-D input (sort of), so
# keep it like that. boxcox() doesn't work with 2-D input though, due
# to brent() returning a scalar.
np.random.seed(54321)
x = stats.norm.rvs(size=100, loc=10)
lmbda = 1
llf = stats.boxcox_llf(lmbda, x)
llf2 = stats.boxcox_llf(lmbda, np.vstack([x, x]).T)
assert_allclose([llf, llf], llf2, rtol=1e-12)
def test_empty(self):
assert_(np.isnan(stats.boxcox_llf(1, [])))
class TestBoxcox(TestCase):
def test_fixed_lmbda(self):
np.random.seed(12345)
x = stats.loggamma.rvs(5, size=50) + 5
xt = stats.boxcox(x, lmbda=1)
assert_allclose(xt, x - 1)
xt = stats.boxcox(x, lmbda=-1)
assert_allclose(xt, 1 - 1/x)
xt = stats.boxcox(x, lmbda=0)
assert_allclose(xt, np.log(x))
# Also test that array_like input works
xt = stats.boxcox(list(x), lmbda=0)
assert_allclose(xt, np.log(x))
def test_lmbda_None(self):
np.random.seed(1234567)
# Start from normal rv's, do inverse transform to check that
# optimization function gets close to the right answer.
np.random.seed(1245)
lmbda = 2.5
x = stats.norm.rvs(loc=10, size=50000)
x_inv = (x * lmbda + 1)**(-lmbda)
xt, maxlog = stats.boxcox(x_inv)
assert_almost_equal(maxlog, -1 / lmbda, decimal=2)
def test_alpha(self):
np.random.seed(1234)
x = stats.loggamma.rvs(5, size=50) + 5
# Some regular values for alpha, on a small sample size
_, _, interval = stats.boxcox(x, alpha=0.75)
assert_allclose(interval, [4.004485780226041, 5.138756355035744])
_, _, interval = stats.boxcox(x, alpha=0.05)
assert_allclose(interval, [1.2138178554857557, 8.209033272375663])
# Try some extreme values, see we don't hit the N=500 limit
x = stats.loggamma.rvs(7, size=500) + 15
_, _, interval = stats.boxcox(x, alpha=0.001)
assert_allclose(interval, [0.3988867, 11.40553131])
_, _, interval = stats.boxcox(x, alpha=0.999)
assert_allclose(interval, [5.83316246, 5.83735292])
def test_boxcox_bad_arg(self):
# Raise ValueError if any data value is negative.
x = np.array([-1])
assert_raises(ValueError, stats.boxcox, x)
def test_empty(self):
assert_(stats.boxcox([]).shape == (0,))
class TestBoxcoxNormmax(TestCase):
def setUp(self):
np.random.seed(12345)
self.x = stats.loggamma.rvs(5, size=50) + 5
def test_pearsonr(self):
maxlog = stats.boxcox_normmax(self.x)
assert_allclose(maxlog, 1.804465, rtol=1e-6)
def test_mle(self):
maxlog = stats.boxcox_normmax(self.x, method='mle')
assert_allclose(maxlog, 1.758101, rtol=1e-6)
# Check that boxcox() uses 'mle'
_, maxlog_boxcox = stats.boxcox(self.x)
assert_allclose(maxlog_boxcox, maxlog)
def test_all(self):
maxlog_all = stats.boxcox_normmax(self.x, method='all')
assert_allclose(maxlog_all, [1.804465, 1.758101], rtol=1e-6)
class TestBoxcoxNormplot(TestCase):
def setUp(self):
np.random.seed(7654321)
self.x = stats.loggamma.rvs(5, size=500) + 5
def test_basic(self):
N = 5
lmbdas, ppcc = stats.boxcox_normplot(self.x, -10, 10, N=N)
ppcc_expected = [0.57783375, 0.83610988, 0.97524311, 0.99756057,
0.95843297]
assert_allclose(lmbdas, np.linspace(-10, 10, num=N))
assert_allclose(ppcc, ppcc_expected)
@dec.skipif(not have_matplotlib)
def test_plot_kwarg(self):
# Check with the matplotlib.pyplot module
fig = plt.figure()
fig.add_subplot(111)
stats.boxcox_normplot(self.x, -20, 20, plot=plt)
plt.close()
# Check that a Matplotlib Axes object is accepted
fig.add_subplot(111)
ax = fig.add_subplot(111)
stats.boxcox_normplot(self.x, -20, 20, plot=ax)
plt.close()
def test_invalid_inputs(self):
# `lb` has to be larger than `la`
assert_raises(ValueError, stats.boxcox_normplot, self.x, 1, 0)
# `x` can not contain negative values
assert_raises(ValueError, stats.boxcox_normplot, [-1, 1], 0, 1)
def test_empty(self):
assert_(stats.boxcox_normplot([], 0, 1).size == 0)
class TestCircFuncs(TestCase):
def test_circfuncs(self):
x = np.array([355,5,2,359,10,350])
M = stats.circmean(x, high=360)
Mval = 0.167690146
assert_allclose(M, Mval, rtol=1e-7)
V = stats.circvar(x, high=360)
Vval = 42.51955609
assert_allclose(V, Vval, rtol=1e-7)
S = stats.circstd(x, high=360)
Sval = 6.520702116
assert_allclose(S, Sval, rtol=1e-7)
def test_circfuncs_small(self):
x = np.array([20,21,22,18,19,20.5,19.2])
M1 = x.mean()
M2 = stats.circmean(x, high=360)
assert_allclose(M2, M1, rtol=1e-5)
V1 = x.var()
V2 = stats.circvar(x, high=360)
assert_allclose(V2, V1, rtol=1e-4)
S1 = x.std()
S2 = stats.circstd(x, high=360)
assert_allclose(S2, S1, rtol=1e-4)
def test_circmean_axis(self):
x = np.array([[355,5,2,359,10,350],
[351,7,4,352,9,349],
[357,9,8,358,4,356]])
M1 = stats.circmean(x, high=360)
M2 = stats.circmean(x.ravel(), high=360)
assert_allclose(M1, M2, rtol=1e-14)
M1 = stats.circmean(x, high=360, axis=1)
M2 = [stats.circmean(x[i], high=360) for i in range(x.shape[0])]
assert_allclose(M1, M2, rtol=1e-14)
M1 = stats.circmean(x, high=360, axis=0)
M2 = [stats.circmean(x[:,i], high=360) for i in range(x.shape[1])]
assert_allclose(M1, M2, rtol=1e-14)
def test_circvar_axis(self):
x = np.array([[355,5,2,359,10,350],
[351,7,4,352,9,349],
[357,9,8,358,4,356]])
V1 = stats.circvar(x, high=360)
V2 = stats.circvar(x.ravel(), high=360)
assert_allclose(V1, V2, rtol=1e-11)
V1 = stats.circvar(x, high=360, axis=1)
V2 = [stats.circvar(x[i], high=360) for i in range(x.shape[0])]
assert_allclose(V1, V2, rtol=1e-11)
V1 = stats.circvar(x, high=360, axis=0)
V2 = [stats.circvar(x[:,i], high=360) for i in range(x.shape[1])]
assert_allclose(V1, V2, rtol=1e-11)
def test_circstd_axis(self):
x = np.array([[355,5,2,359,10,350],
[351,7,4,352,9,349],
[357,9,8,358,4,356]])
S1 = stats.circstd(x, high=360)
S2 = stats.circstd(x.ravel(), high=360)
assert_allclose(S1, S2, rtol=1e-11)
S1 = stats.circstd(x, high=360, axis=1)
S2 = [stats.circstd(x[i], high=360) for i in range(x.shape[0])]
assert_allclose(S1, S2, rtol=1e-11)
S1 = stats.circstd(x, high=360, axis=0)
S2 = [stats.circstd(x[:,i], high=360) for i in range(x.shape[1])]
assert_allclose(S1, S2, rtol=1e-11)
def test_circfuncs_array_like(self):
x = [355,5,2,359,10,350]
assert_allclose(stats.circmean(x, high=360), 0.167690146, rtol=1e-7)
assert_allclose(stats.circvar(x, high=360), 42.51955609, rtol=1e-7)
assert_allclose(stats.circstd(x, high=360), 6.520702116, rtol=1e-7)
def test_empty(self):
assert_(np.isnan(stats.circmean([])))
assert_(np.isnan(stats.circstd([])))
assert_(np.isnan(stats.circvar([])))
def test_accuracy_wilcoxon():
freq = [1, 4, 16, 15, 8, 4, 5, 1, 2]
nums = range(-4, 5)
x = np.concatenate([[u] * v for u, v in zip(nums, freq)])
y = np.zeros(x.size)
T, p = stats.wilcoxon(x, y, "pratt")
assert_allclose(T, 423)
assert_allclose(p, 0.00197547303533107)
T, p = stats.wilcoxon(x, y, "zsplit")
assert_allclose(T, 441)
assert_allclose(p, 0.0032145343172473055)
T, p = stats.wilcoxon(x, y, "wilcox")
assert_allclose(T, 327)
assert_allclose(p, 0.00641346115861)
# Test the 'correction' option, using values computed in R with:
# > wilcox.test(x, y, paired=TRUE, exact=FALSE, correct={FALSE,TRUE})
x = np.array([120, 114, 181, 188, 180, 146, 121, 191, 132, 113, 127, 112])
y = np.array([133, 143, 119, 189, 112, 199, 198, 113, 115, 121, 142, 187])
T, p = stats.wilcoxon(x, y, correction=False)
assert_equal(T, 34)
assert_allclose(p, 0.6948866, rtol=1e-6)
T, p = stats.wilcoxon(x, y, correction=True)
assert_equal(T, 34)
assert_allclose(p, 0.7240817, rtol=1e-6)
def test_wilcoxon_result_attributes():
x = np.array([120, 114, 181, 188, 180, 146, 121, 191, 132, 113, 127, 112])
y = np.array([133, 143, 119, 189, 112, 199, 198, 113, 115, 121, 142, 187])
res = stats.wilcoxon(x, y, correction=False)
attributes = ('statistic', 'pvalue')
check_named_results(res, attributes)
def test_wilcoxon_tie():
# Regression test for gh-2391.
# Corresponding R code is:
# > result = wilcox.test(rep(0.1, 10), exact=FALSE, correct=FALSE)
# > result$p.value
# [1] 0.001565402
# > result = wilcox.test(rep(0.1, 10), exact=FALSE, correct=TRUE)
# > result$p.value
# [1] 0.001904195
stat, p = stats.wilcoxon([0.1] * 10)
expected_p = 0.001565402
assert_equal(stat, 0)
assert_allclose(p, expected_p, rtol=1e-6)
stat, p = stats.wilcoxon([0.1] * 10, correction=True)
expected_p = 0.001904195
assert_equal(stat, 0)
assert_allclose(p, expected_p, rtol=1e-6)
class TestMedianTest(TestCase):
def test_bad_n_samples(self):
# median_test requires at least two samples.
assert_raises(ValueError, stats.median_test, [1, 2, 3])
def test_empty_sample(self):
# Each sample must contain at least one value.
assert_raises(ValueError, stats.median_test, [], [1, 2, 3])
def test_empty_when_ties_ignored(self):
# The grand median is 1, and all values in the first argument are
# equal to the grand median. With ties="ignore", those values are
# ignored, which results in the first sample being (in effect) empty.
# This should raise a ValueError.
assert_raises(ValueError, stats.median_test,
[1, 1, 1, 1], [2, 0, 1], [2, 0], ties="ignore")
def test_empty_contingency_row(self):
# The grand median is 1, and with the default ties="below", all the
# values in the samples are counted as being below the grand median.
# This would result a row of zeros in the contingency table, which is
# an error.
assert_raises(ValueError, stats.median_test, [1, 1, 1], [1, 1, 1])
# With ties="above", all the values are counted as above the
# grand median.
assert_raises(ValueError, stats.median_test, [1, 1, 1], [1, 1, 1],
ties="above")
def test_bad_ties(self):
assert_raises(ValueError, stats.median_test, [1, 2, 3], [4, 5], ties="foo")
def test_bad_keyword(self):
assert_raises(TypeError, stats.median_test, [1, 2, 3], [4, 5], foo="foo")
def test_simple(self):
x = [1, 2, 3]
y = [1, 2, 3]
stat, p, med, tbl = stats.median_test(x, y)
# The median is floating point, but this equality test should be safe.
assert_equal(med, 2.0)
assert_array_equal(tbl, [[1, 1], [2, 2]])
# The expected values of the contingency table equal the contingency table,
# so the statistic should be 0 and the p-value should be 1.
assert_equal(stat, 0)
assert_equal(p, 1)
def test_ties_options(self):
# Test the contingency table calculation.
x = [1, 2, 3, 4]
y = [5, 6]
z = [7, 8, 9]
# grand median is 5.
# Default 'ties' option is "below".
stat, p, m, tbl = stats.median_test(x, y, z)
assert_equal(m, 5)
assert_equal(tbl, [[0, 1, 3], [4, 1, 0]])
stat, p, m, tbl = stats.median_test(x, y, z, ties="ignore")
assert_equal(m, 5)
assert_equal(tbl, [[0, 1, 3], [4, 0, 0]])
stat, p, m, tbl = stats.median_test(x, y, z, ties="above")
assert_equal(m, 5)
assert_equal(tbl, [[0, 2, 3], [4, 0, 0]])
def test_basic(self):
# median_test calls chi2_contingency to compute the test statistic
# and p-value. Make sure it hasn't screwed up the call...
x = [1, 2, 3, 4, 5]
y = [2, 4, 6, 8]
stat, p, m, tbl = stats.median_test(x, y)
assert_equal(m, 4)
assert_equal(tbl, [[1, 2], [4, 2]])
exp_stat, exp_p, dof, e = stats.chi2_contingency(tbl)
assert_allclose(stat, exp_stat)
assert_allclose(p, exp_p)
stat, p, m, tbl = stats.median_test(x, y, lambda_=0)
assert_equal(m, 4)
assert_equal(tbl, [[1, 2], [4, 2]])
exp_stat, exp_p, dof, e = stats.chi2_contingency(tbl, lambda_=0)
assert_allclose(stat, exp_stat)
assert_allclose(p, exp_p)
stat, p, m, tbl = stats.median_test(x, y, correction=False)
assert_equal(m, 4)
assert_equal(tbl, [[1, 2], [4, 2]])
exp_stat, exp_p, dof, e = stats.chi2_contingency(tbl, correction=False)
assert_allclose(stat, exp_stat)
assert_allclose(p, exp_p)
if __name__ == "__main__":
run_module_suite()
| mit |
beiko-lab/gengis | bin/Lib/site-packages/matplotlib/backends/backend_gtk.py | 4 | 45322 | from __future__ import division, print_function
import os, sys, warnings
def fn_name(): return sys._getframe(1).f_code.co_name
if sys.version_info[0] >= 3:
warnings.warn(
"The gtk* backends have not been tested with Python 3.x",
ImportWarning)
try:
import gobject
import gtk; gdk = gtk.gdk
import pango
except ImportError:
raise ImportError("Gtk* backend requires pygtk to be installed.")
pygtk_version_required = (2,4,0)
if gtk.pygtk_version < pygtk_version_required:
raise ImportError ("PyGTK %d.%d.%d is installed\n"
"PyGTK %d.%d.%d or later is required"
% (gtk.pygtk_version + pygtk_version_required))
del pygtk_version_required
_new_tooltip_api = (gtk.pygtk_version[1] >= 12)
import matplotlib
from matplotlib._pylab_helpers import Gcf
from matplotlib.backend_bases import RendererBase, GraphicsContextBase, \
FigureManagerBase, FigureCanvasBase, NavigationToolbar2, cursors, TimerBase
from matplotlib.backend_bases import ShowBase
from matplotlib.backends.backend_gdk import RendererGDK, FigureCanvasGDK
from matplotlib.cbook import is_string_like, is_writable_file_like
from matplotlib.colors import colorConverter
from matplotlib.figure import Figure
from matplotlib.widgets import SubplotTool
from matplotlib import lines
from matplotlib import markers
from matplotlib import cbook
from matplotlib import verbose
from matplotlib import rcParams
backend_version = "%d.%d.%d" % gtk.pygtk_version
_debug = False
#_debug = True
# the true dots per inch on the screen; should be display dependent
# see http://groups.google.com/groups?q=screen+dpi+x11&hl=en&lr=&ie=UTF-8&oe=UTF-8&safe=off&selm=7077.26e81ad5%40swift.cs.tcd.ie&rnum=5 for some info about screen dpi
PIXELS_PER_INCH = 96
# Hide the benign warning that it can't stat a file that doesn't
warnings.filterwarnings('ignore', '.*Unable to retrieve the file info for.*', gtk.Warning)
cursord = {
cursors.MOVE : gdk.Cursor(gdk.FLEUR),
cursors.HAND : gdk.Cursor(gdk.HAND2),
cursors.POINTER : gdk.Cursor(gdk.LEFT_PTR),
cursors.SELECT_REGION : gdk.Cursor(gdk.TCROSS),
}
# ref gtk+/gtk/gtkwidget.h
def GTK_WIDGET_DRAWABLE(w):
flags = w.flags();
return flags & gtk.VISIBLE != 0 and flags & gtk.MAPPED != 0
def draw_if_interactive():
"""
Is called after every pylab drawing command
"""
if matplotlib.is_interactive():
figManager = Gcf.get_active()
if figManager is not None:
figManager.canvas.draw_idle()
class Show(ShowBase):
def mainloop(self):
if gtk.main_level() == 0:
gtk.main()
show = Show()
def new_figure_manager(num, *args, **kwargs):
"""
Create a new figure manager instance
"""
FigureClass = kwargs.pop('FigureClass', Figure)
thisFig = FigureClass(*args, **kwargs)
return new_figure_manager_given_figure(num, thisFig)
def new_figure_manager_given_figure(num, figure):
"""
Create a new figure manager instance for the given figure.
"""
canvas = FigureCanvasGTK(figure)
manager = FigureManagerGTK(canvas, num)
return manager
class TimerGTK(TimerBase):
'''
Subclass of :class:`backend_bases.TimerBase` that uses GTK for timer events.
Attributes:
* interval: The time between timer events in milliseconds. Default
is 1000 ms.
* single_shot: Boolean flag indicating whether this timer should
operate as single shot (run once and then stop). Defaults to False.
* callbacks: Stores list of (func, args) tuples that will be called
upon timer events. This list can be manipulated directly, or the
functions add_callback and remove_callback can be used.
'''
def _timer_start(self):
# Need to stop it, otherwise we potentially leak a timer id that will
# never be stopped.
self._timer_stop()
self._timer = gobject.timeout_add(self._interval, self._on_timer)
def _timer_stop(self):
if self._timer is not None:
gobject.source_remove(self._timer)
self._timer = None
def _timer_set_interval(self):
# Only stop and restart it if the timer has already been started
if self._timer is not None:
self._timer_stop()
self._timer_start()
def _on_timer(self):
TimerBase._on_timer(self)
# Gtk timeout_add() requires that the callback returns True if it
# is to be called again.
if len(self.callbacks) > 0 and not self._single:
return True
else:
self._timer = None
return False
class FigureCanvasGTK (gtk.DrawingArea, FigureCanvasBase):
keyvald = {65507 : 'control',
65505 : 'shift',
65513 : 'alt',
65508 : 'control',
65506 : 'shift',
65514 : 'alt',
65361 : 'left',
65362 : 'up',
65363 : 'right',
65364 : 'down',
65307 : 'escape',
65470 : 'f1',
65471 : 'f2',
65472 : 'f3',
65473 : 'f4',
65474 : 'f5',
65475 : 'f6',
65476 : 'f7',
65477 : 'f8',
65478 : 'f9',
65479 : 'f10',
65480 : 'f11',
65481 : 'f12',
65300 : 'scroll_lock',
65299 : 'break',
65288 : 'backspace',
65293 : 'enter',
65379 : 'insert',
65535 : 'delete',
65360 : 'home',
65367 : 'end',
65365 : 'pageup',
65366 : 'pagedown',
65438 : '0',
65436 : '1',
65433 : '2',
65435 : '3',
65430 : '4',
65437 : '5',
65432 : '6',
65429 : '7',
65431 : '8',
65434 : '9',
65451 : '+',
65453 : '-',
65450 : '*',
65455 : '/',
65439 : 'dec',
65421 : 'enter',
65511 : 'super',
65512 : 'super',
65406 : 'alt',
65289 : 'tab',
}
# Setting this as a static constant prevents
# this resulting expression from leaking
event_mask = (gdk.BUTTON_PRESS_MASK |
gdk.BUTTON_RELEASE_MASK |
gdk.EXPOSURE_MASK |
gdk.KEY_PRESS_MASK |
gdk.KEY_RELEASE_MASK |
gdk.ENTER_NOTIFY_MASK |
gdk.LEAVE_NOTIFY_MASK |
gdk.POINTER_MOTION_MASK |
gdk.POINTER_MOTION_HINT_MASK)
def __init__(self, figure):
if _debug: print('FigureCanvasGTK.%s' % fn_name())
FigureCanvasBase.__init__(self, figure)
gtk.DrawingArea.__init__(self)
self._idle_draw_id = 0
self._need_redraw = True
self._pixmap_width = -1
self._pixmap_height = -1
self._lastCursor = None
self.connect('scroll_event', self.scroll_event)
self.connect('button_press_event', self.button_press_event)
self.connect('button_release_event', self.button_release_event)
self.connect('configure_event', self.configure_event)
self.connect('expose_event', self.expose_event)
self.connect('key_press_event', self.key_press_event)
self.connect('key_release_event', self.key_release_event)
self.connect('motion_notify_event', self.motion_notify_event)
self.connect('leave_notify_event', self.leave_notify_event)
self.connect('enter_notify_event', self.enter_notify_event)
self.set_events(self.__class__.event_mask)
self.set_double_buffered(False)
self.set_flags(gtk.CAN_FOCUS)
self._renderer_init()
self._idle_event_id = gobject.idle_add(self.idle_event)
self.last_downclick = {}
def destroy(self):
#gtk.DrawingArea.destroy(self)
self.close_event()
gobject.source_remove(self._idle_event_id)
if self._idle_draw_id != 0:
gobject.source_remove(self._idle_draw_id)
def scroll_event(self, widget, event):
if _debug: print('FigureCanvasGTK.%s' % fn_name())
x = event.x
# flipy so y=0 is bottom of canvas
y = self.allocation.height - event.y
if event.direction==gdk.SCROLL_UP:
step = 1
else:
step = -1
FigureCanvasBase.scroll_event(self, x, y, step, guiEvent=event)
return False # finish event propagation?
def button_press_event(self, widget, event):
if _debug: print('FigureCanvasGTK.%s' % fn_name())
x = event.x
# flipy so y=0 is bottom of canvas
y = self.allocation.height - event.y
dblclick = (event.type == gdk._2BUTTON_PRESS)
if not dblclick:
# GTK is the only backend that generates a DOWN-UP-DOWN-DBLCLICK-UP event
# sequence for a double click. All other backends have a DOWN-UP-DBLCLICK-UP
# sequence. In order to provide consistency to matplotlib users, we will
# eat the extra DOWN event in the case that we detect it is part of a double
# click.
# first, get the double click time in milliseconds.
current_time = event.get_time()
last_time = self.last_downclick.get(event.button,0)
dblclick_time = gtk.settings_get_for_screen(gdk.screen_get_default()).get_property('gtk-double-click-time')
delta_time = current_time-last_time
if delta_time < dblclick_time:
del self.last_downclick[event.button] # we do not want to eat more than one event.
return False # eat.
self.last_downclick[event.button] = current_time
FigureCanvasBase.button_press_event(self, x, y, event.button, dblclick=dblclick, guiEvent=event)
return False # finish event propagation?
def button_release_event(self, widget, event):
if _debug: print('FigureCanvasGTK.%s' % fn_name())
x = event.x
# flipy so y=0 is bottom of canvas
y = self.allocation.height - event.y
FigureCanvasBase.button_release_event(self, x, y, event.button, guiEvent=event)
return False # finish event propagation?
def key_press_event(self, widget, event):
if _debug: print('FigureCanvasGTK.%s' % fn_name())
key = self._get_key(event)
if _debug: print("hit", key)
FigureCanvasBase.key_press_event(self, key, guiEvent=event)
return False # finish event propagation?
def key_release_event(self, widget, event):
if _debug: print('FigureCanvasGTK.%s' % fn_name())
key = self._get_key(event)
if _debug: print("release", key)
FigureCanvasBase.key_release_event(self, key, guiEvent=event)
return False # finish event propagation?
def motion_notify_event(self, widget, event):
if _debug: print('FigureCanvasGTK.%s' % fn_name())
if event.is_hint:
x, y, state = event.window.get_pointer()
else:
x, y, state = event.x, event.y, event.state
# flipy so y=0 is bottom of canvas
y = self.allocation.height - y
FigureCanvasBase.motion_notify_event(self, x, y, guiEvent=event)
return False # finish event propagation?
def leave_notify_event(self, widget, event):
FigureCanvasBase.leave_notify_event(self, event)
def enter_notify_event(self, widget, event):
x, y, state = event.window.get_pointer()
FigureCanvasBase.enter_notify_event(self, event, xy=(x, y))
def _get_key(self, event):
if event.keyval in self.keyvald:
key = self.keyvald[event.keyval]
elif event.keyval < 256:
key = chr(event.keyval)
else:
key = None
for key_mask, prefix in (
[gdk.MOD4_MASK, 'super'],
[gdk.MOD1_MASK, 'alt'],
[gdk.CONTROL_MASK, 'ctrl'], ):
if event.state & key_mask:
key = '{0}+{1}'.format(prefix, key)
return key
def configure_event(self, widget, event):
if _debug: print('FigureCanvasGTK.%s' % fn_name())
if widget.window is None:
return
w, h = event.width, event.height
if w < 3 or h < 3:
return # empty fig
# resize the figure (in inches)
dpi = self.figure.dpi
self.figure.set_size_inches (w/dpi, h/dpi)
self._need_redraw = True
return False # finish event propagation?
def draw(self):
# Note: FigureCanvasBase.draw() is inconveniently named as it clashes
# with the deprecated gtk.Widget.draw()
self._need_redraw = True
if GTK_WIDGET_DRAWABLE(self):
self.queue_draw()
# do a synchronous draw (its less efficient than an async draw,
# but is required if/when animation is used)
self.window.process_updates (False)
def draw_idle(self):
def idle_draw(*args):
self.draw()
self._idle_draw_id = 0
return False
if self._idle_draw_id == 0:
self._idle_draw_id = gobject.idle_add(idle_draw)
def _renderer_init(self):
"""Override by GTK backends to select a different renderer
Renderer should provide the methods:
set_pixmap ()
set_width_height ()
that are used by
_render_figure() / _pixmap_prepare()
"""
self._renderer = RendererGDK (self, self.figure.dpi)
def _pixmap_prepare(self, width, height):
"""
Make sure _._pixmap is at least width, height,
create new pixmap if necessary
"""
if _debug: print('FigureCanvasGTK.%s' % fn_name())
create_pixmap = False
if width > self._pixmap_width:
# increase the pixmap in 10%+ (rather than 1 pixel) steps
self._pixmap_width = max (int (self._pixmap_width * 1.1),
width)
create_pixmap = True
if height > self._pixmap_height:
self._pixmap_height = max (int (self._pixmap_height * 1.1),
height)
create_pixmap = True
if create_pixmap:
self._pixmap = gdk.Pixmap (self.window, self._pixmap_width,
self._pixmap_height)
self._renderer.set_pixmap (self._pixmap)
def _render_figure(self, pixmap, width, height):
"""used by GTK and GTKcairo. GTKAgg overrides
"""
self._renderer.set_width_height (width, height)
self.figure.draw (self._renderer)
def expose_event(self, widget, event):
"""Expose_event for all GTK backends. Should not be overridden.
"""
if _debug: print('FigureCanvasGTK.%s' % fn_name())
if GTK_WIDGET_DRAWABLE(self):
if self._need_redraw:
x, y, w, h = self.allocation
self._pixmap_prepare (w, h)
self._render_figure(self._pixmap, w, h)
self._need_redraw = False
x, y, w, h = event.area
self.window.draw_drawable (self.style.fg_gc[self.state],
self._pixmap, x, y, x, y, w, h)
return False # finish event propagation?
filetypes = FigureCanvasBase.filetypes.copy()
filetypes['jpg'] = 'JPEG'
filetypes['jpeg'] = 'JPEG'
filetypes['png'] = 'Portable Network Graphics'
def print_jpeg(self, filename, *args, **kwargs):
return self._print_image(filename, 'jpeg')
print_jpg = print_jpeg
def print_png(self, filename, *args, **kwargs):
return self._print_image(filename, 'png')
def _print_image(self, filename, format, *args, **kwargs):
if self.flags() & gtk.REALIZED == 0:
# for self.window(for pixmap) and has a side effect of altering
# figure width,height (via configure-event?)
gtk.DrawingArea.realize(self)
width, height = self.get_width_height()
pixmap = gdk.Pixmap (self.window, width, height)
self._renderer.set_pixmap (pixmap)
self._render_figure(pixmap, width, height)
# jpg colors don't match the display very well, png colors match
# better
pixbuf = gdk.Pixbuf(gdk.COLORSPACE_RGB, 0, 8, width, height)
pixbuf.get_from_drawable(pixmap, pixmap.get_colormap(),
0, 0, 0, 0, width, height)
# set the default quality, if we are writing a JPEG.
# http://www.pygtk.org/docs/pygtk/class-gdkpixbuf.html#method-gdkpixbuf--save
options = cbook.restrict_dict(kwargs, ['quality'])
if format in ['jpg','jpeg']:
if 'quality' not in options:
options['quality'] = rcParams['savefig.jpeg_quality']
options['quality'] = str(options['quality'])
if is_string_like(filename):
try:
pixbuf.save(filename, format, options=options)
except gobject.GError as exc:
error_msg_gtk('Save figure failure:\n%s' % (exc,), parent=self)
elif is_writable_file_like(filename):
if hasattr(pixbuf, 'save_to_callback'):
def save_callback(buf, data=None):
data.write(buf)
try:
pixbuf.save_to_callback(save_callback, format, user_data=filename, options=options)
except gobject.GError as exc:
error_msg_gtk('Save figure failure:\n%s' % (exc,), parent=self)
else:
raise ValueError("Saving to a Python file-like object is only supported by PyGTK >= 2.8")
else:
raise ValueError("filename must be a path or a file-like object")
def new_timer(self, *args, **kwargs):
"""
Creates a new backend-specific subclass of :class:`backend_bases.Timer`.
This is useful for getting periodic events through the backend's native
event loop. Implemented only for backends with GUIs.
optional arguments:
*interval*
Timer interval in milliseconds
*callbacks*
Sequence of (func, args, kwargs) where func(*args, **kwargs) will
be executed by the timer every *interval*.
"""
return TimerGTK(*args, **kwargs)
def flush_events(self):
gtk.gdk.threads_enter()
while gtk.events_pending():
gtk.main_iteration(True)
gtk.gdk.flush()
gtk.gdk.threads_leave()
def start_event_loop(self,timeout):
FigureCanvasBase.start_event_loop_default(self,timeout)
start_event_loop.__doc__=FigureCanvasBase.start_event_loop_default.__doc__
def stop_event_loop(self):
FigureCanvasBase.stop_event_loop_default(self)
stop_event_loop.__doc__=FigureCanvasBase.stop_event_loop_default.__doc__
class FigureManagerGTK(FigureManagerBase):
"""
Public attributes
canvas : The FigureCanvas instance
num : The Figure number
toolbar : The gtk.Toolbar (gtk only)
vbox : The gtk.VBox containing the canvas and toolbar (gtk only)
window : The gtk.Window (gtk only)
"""
def __init__(self, canvas, num):
if _debug: print('FigureManagerGTK.%s' % fn_name())
FigureManagerBase.__init__(self, canvas, num)
self.window = gtk.Window()
self.set_window_title("Figure %d" % num)
if (window_icon):
try:
self.window.set_icon_from_file(window_icon)
except:
# some versions of gtk throw a glib.GError but not
# all, so I am not sure how to catch it. I am unhappy
# diong a blanket catch here, but an not sure what a
# better way is - JDH
verbose.report('Could not load matplotlib icon: %s' % sys.exc_info()[1])
self.vbox = gtk.VBox()
self.window.add(self.vbox)
self.vbox.show()
self.canvas.show()
self.vbox.pack_start(self.canvas, True, True)
self.toolbar = self._get_toolbar(canvas)
# calculate size for window
w = int (self.canvas.figure.bbox.width)
h = int (self.canvas.figure.bbox.height)
if self.toolbar is not None:
self.toolbar.show()
self.vbox.pack_end(self.toolbar, False, False)
tb_w, tb_h = self.toolbar.size_request()
h += tb_h
self.window.set_default_size (w, h)
def destroy(*args):
Gcf.destroy(num)
self.window.connect("destroy", destroy)
self.window.connect("delete_event", destroy)
if matplotlib.is_interactive():
self.window.show()
def notify_axes_change(fig):
'this will be called whenever the current axes is changed'
if self.toolbar is not None: self.toolbar.update()
self.canvas.figure.add_axobserver(notify_axes_change)
self.canvas.grab_focus()
def destroy(self, *args):
if _debug: print('FigureManagerGTK.%s' % fn_name())
if hasattr(self, 'toolbar') and self.toolbar is not None:
self.toolbar.destroy()
if hasattr(self, 'vbox'):
self.vbox.destroy()
if hasattr(self, 'window'):
self.window.destroy()
if hasattr(self, 'canvas'):
self.canvas.destroy()
self.__dict__.clear() #Is this needed? Other backends don't have it.
if Gcf.get_num_fig_managers()==0 and \
not matplotlib.is_interactive() and \
gtk.main_level() >= 1:
gtk.main_quit()
def show(self):
# show the figure window
self.window.show()
def full_screen_toggle(self):
self._full_screen_flag = not self._full_screen_flag
if self._full_screen_flag:
self.window.fullscreen()
else:
self.window.unfullscreen()
_full_screen_flag = False
def _get_toolbar(self, canvas):
# must be inited after the window, drawingArea and figure
# attrs are set
if rcParams['toolbar'] == 'classic':
toolbar = NavigationToolbar (canvas, self.window)
elif rcParams['toolbar'] == 'toolbar2':
toolbar = NavigationToolbar2GTK (canvas, self.window)
else:
toolbar = None
return toolbar
def get_window_title(self):
return self.window.get_title()
def set_window_title(self, title):
self.window.set_title(title)
def resize(self, width, height):
'set the canvas size in pixels'
#_, _, cw, ch = self.canvas.allocation
#_, _, ww, wh = self.window.allocation
#self.window.resize (width-cw+ww, height-ch+wh)
self.window.resize(width, height)
class NavigationToolbar2GTK(NavigationToolbar2, gtk.Toolbar):
def __init__(self, canvas, window):
self.win = window
gtk.Toolbar.__init__(self)
NavigationToolbar2.__init__(self, canvas)
def set_message(self, s):
self.message.set_label(s)
def set_cursor(self, cursor):
self.canvas.window.set_cursor(cursord[cursor])
def release(self, event):
try: del self._pixmapBack
except AttributeError: pass
def dynamic_update(self):
# legacy method; new method is canvas.draw_idle
self.canvas.draw_idle()
def draw_rubberband(self, event, x0, y0, x1, y1):
'adapted from http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/189744'
drawable = self.canvas.window
if drawable is None:
return
gc = drawable.new_gc()
height = self.canvas.figure.bbox.height
y1 = height - y1
y0 = height - y0
w = abs(x1 - x0)
h = abs(y1 - y0)
rect = [int(val)for val in (min(x0,x1), min(y0, y1), w, h)]
try:
lastrect, pixmapBack = self._pixmapBack
except AttributeError:
#snap image back
if event.inaxes is None:
return
ax = event.inaxes
l,b,w,h = [int(val) for val in ax.bbox.bounds]
b = int(height)-(b+h)
axrect = l,b,w,h
self._pixmapBack = axrect, gtk.gdk.Pixmap(drawable, w, h)
self._pixmapBack[1].draw_drawable(gc, drawable, l, b, 0, 0, w, h)
else:
drawable.draw_drawable(gc, pixmapBack, 0, 0, *lastrect)
drawable.draw_rectangle(gc, False, *rect)
def _init_toolbar(self):
self.set_style(gtk.TOOLBAR_ICONS)
self._init_toolbar2_4()
def _init_toolbar2_4(self):
basedir = os.path.join(rcParams['datapath'],'images')
if not _new_tooltip_api:
self.tooltips = gtk.Tooltips()
for text, tooltip_text, image_file, callback in self.toolitems:
if text is None:
self.insert( gtk.SeparatorToolItem(), -1 )
continue
fname = os.path.join(basedir, image_file + '.png')
image = gtk.Image()
image.set_from_file(fname)
tbutton = gtk.ToolButton(image, text)
self.insert(tbutton, -1)
tbutton.connect('clicked', getattr(self, callback))
if _new_tooltip_api:
tbutton.set_tooltip_text(tooltip_text)
else:
tbutton.set_tooltip(self.tooltips, tooltip_text, 'Private')
toolitem = gtk.SeparatorToolItem()
self.insert(toolitem, -1)
# set_draw() not making separator invisible,
# bug #143692 fixed Jun 06 2004, will be in GTK+ 2.6
toolitem.set_draw(False)
toolitem.set_expand(True)
toolitem = gtk.ToolItem()
self.insert(toolitem, -1)
self.message = gtk.Label()
toolitem.add(self.message)
self.show_all()
def get_filechooser(self):
fc = FileChooserDialog(
title='Save the figure',
parent=self.win,
path=os.path.expanduser(rcParams.get('savefig.directory', '')),
filetypes=self.canvas.get_supported_filetypes(),
default_filetype=self.canvas.get_default_filetype())
fc.set_current_name(self.canvas.get_default_filename())
return fc
def save_figure(self, *args):
chooser = self.get_filechooser()
fname, format = chooser.get_filename_from_user()
chooser.destroy()
if fname:
startpath = os.path.expanduser(rcParams.get('savefig.directory', ''))
if startpath == '':
# explicitly missing key or empty str signals to use cwd
rcParams['savefig.directory'] = startpath
else:
# save dir for next time
rcParams['savefig.directory'] = os.path.dirname(unicode(fname))
try:
self.canvas.print_figure(fname, format=format)
except Exception as e:
error_msg_gtk(str(e), parent=self)
def configure_subplots(self, button):
toolfig = Figure(figsize=(6,3))
canvas = self._get_canvas(toolfig)
toolfig.subplots_adjust(top=0.9)
tool = SubplotTool(self.canvas.figure, toolfig)
w = int (toolfig.bbox.width)
h = int (toolfig.bbox.height)
window = gtk.Window()
if (window_icon):
try: window.set_icon_from_file(window_icon)
except:
# we presumably already logged a message on the
# failure of the main plot, don't keep reporting
pass
window.set_title("Subplot Configuration Tool")
window.set_default_size(w, h)
vbox = gtk.VBox()
window.add(vbox)
vbox.show()
canvas.show()
vbox.pack_start(canvas, True, True)
window.show()
def _get_canvas(self, fig):
return FigureCanvasGTK(fig)
class NavigationToolbar(gtk.Toolbar):
"""
Public attributes
canvas - the FigureCanvas (gtk.DrawingArea)
win - the gtk.Window
"""
# list of toolitems to add to the toolbar, format is:
# text, tooltip_text, image, callback(str), callback_arg, scroll(bool)
toolitems = (
('Left', 'Pan left with click or wheel mouse (bidirectional)',
gtk.STOCK_GO_BACK, 'panx', -1, True),
('Right', 'Pan right with click or wheel mouse (bidirectional)',
gtk.STOCK_GO_FORWARD, 'panx', 1, True),
('Zoom In X',
'Zoom In X (shrink the x axis limits) with click or wheel'
' mouse (bidirectional)',
gtk.STOCK_ZOOM_IN, 'zoomx', 1, True),
('Zoom Out X',
'Zoom Out X (expand the x axis limits) with click or wheel'
' mouse (bidirectional)',
gtk.STOCK_ZOOM_OUT, 'zoomx', -1, True),
(None, None, None, None, None, None,),
('Up', 'Pan up with click or wheel mouse (bidirectional)',
gtk.STOCK_GO_UP, 'pany', 1, True),
('Down', 'Pan down with click or wheel mouse (bidirectional)',
gtk.STOCK_GO_DOWN, 'pany', -1, True),
('Zoom In Y',
'Zoom in Y (shrink the y axis limits) with click or wheel'
' mouse (bidirectional)',
gtk.STOCK_ZOOM_IN, 'zoomy', 1, True),
('Zoom Out Y',
'Zoom Out Y (expand the y axis limits) with click or wheel'
' mouse (bidirectional)',
gtk.STOCK_ZOOM_OUT, 'zoomy', -1, True),
(None, None, None, None, None, None,),
('Save', 'Save the figure',
gtk.STOCK_SAVE, 'save_figure', None, False),
)
def __init__(self, canvas, window):
"""
figManager is the FigureManagerGTK instance that contains the
toolbar, with attributes figure, window and drawingArea
"""
gtk.Toolbar.__init__(self)
self.canvas = canvas
# Note: gtk.Toolbar already has a 'window' attribute
self.win = window
self.set_style(gtk.TOOLBAR_ICONS)
self._create_toolitems_2_4()
self.update = self._update_2_4
self.fileselect = FileChooserDialog(
title='Save the figure',
parent=self.win,
filetypes=self.canvas.get_supported_filetypes(),
default_filetype=self.canvas.get_default_filetype())
self.show_all()
self.update()
def _create_toolitems_2_4(self):
# use the GTK+ 2.4 GtkToolbar API
iconSize = gtk.ICON_SIZE_SMALL_TOOLBAR
if not _new_tooltip_api:
self.tooltips = gtk.Tooltips()
for text, tooltip_text, image_num, callback, callback_arg, scroll \
in self.toolitems:
if text is None:
self.insert( gtk.SeparatorToolItem(), -1 )
continue
image = gtk.Image()
image.set_from_stock(image_num, iconSize)
tbutton = gtk.ToolButton(image, text)
self.insert(tbutton, -1)
if callback_arg:
tbutton.connect('clicked', getattr(self, callback),
callback_arg)
else:
tbutton.connect('clicked', getattr(self, callback))
if scroll:
tbutton.connect('scroll_event', getattr(self, callback))
if _new_tooltip_api:
tbutton.set_tooltip_text(tooltip_text)
else:
tbutton.set_tooltip(self.tooltips, tooltip_text, 'Private')
# Axes toolitem, is empty at start, update() adds a menu if >=2 axes
self.axes_toolitem = gtk.ToolItem()
self.insert(self.axes_toolitem, 0)
if _new_tooltip_api:
self.axes_toolitem.set_tooltip_text(
'Select axes that controls affect')
else:
self.axes_toolitem.set_tooltip (
self.tooltips,
tip_text='Select axes that controls affect',
tip_private = 'Private')
align = gtk.Alignment (xalign=0.5, yalign=0.5, xscale=0.0, yscale=0.0)
self.axes_toolitem.add(align)
self.menubutton = gtk.Button ("Axes")
align.add (self.menubutton)
def position_menu (menu):
"""Function for positioning a popup menu.
Place menu below the menu button, but ensure it does not go off
the bottom of the screen.
The default is to popup menu at current mouse position
"""
x0, y0 = self.window.get_origin()
x1, y1, m = self.window.get_pointer()
x2, y2 = self.menubutton.get_pointer()
sc_h = self.get_screen().get_height() # requires GTK+ 2.2 +
w, h = menu.size_request()
x = x0 + x1 - x2
y = y0 + y1 - y2 + self.menubutton.allocation.height
y = min(y, sc_h - h)
return x, y, True
def button_clicked (button, data=None):
self.axismenu.popup (None, None, position_menu, 0,
gtk.get_current_event_time())
self.menubutton.connect ("clicked", button_clicked)
def _update_2_4(self):
# for GTK+ 2.4+
# called by __init__() and FigureManagerGTK
self._axes = self.canvas.figure.axes
if len(self._axes) >= 2:
self.axismenu = self._make_axis_menu()
self.menubutton.show_all()
else:
self.menubutton.hide()
self.set_active(range(len(self._axes)))
def _make_axis_menu(self):
# called by self._update*()
def toggled(item, data=None):
if item == self.itemAll:
for item in items: item.set_active(True)
elif item == self.itemInvert:
for item in items:
item.set_active(not item.get_active())
ind = [i for i,item in enumerate(items) if item.get_active()]
self.set_active(ind)
menu = gtk.Menu()
self.itemAll = gtk.MenuItem("All")
menu.append(self.itemAll)
self.itemAll.connect("activate", toggled)
self.itemInvert = gtk.MenuItem("Invert")
menu.append(self.itemInvert)
self.itemInvert.connect("activate", toggled)
items = []
for i in range(len(self._axes)):
item = gtk.CheckMenuItem("Axis %d" % (i+1))
menu.append(item)
item.connect("toggled", toggled)
item.set_active(True)
items.append(item)
menu.show_all()
return menu
def set_active(self, ind):
self._ind = ind
self._active = [ self._axes[i] for i in self._ind ]
def panx(self, button, direction):
'panx in direction'
for a in self._active:
a.xaxis.pan(direction)
self.canvas.draw()
return True
def pany(self, button, direction):
'pany in direction'
for a in self._active:
a.yaxis.pan(direction)
self.canvas.draw()
return True
def zoomx(self, button, direction):
'zoomx in direction'
for a in self._active:
a.xaxis.zoom(direction)
self.canvas.draw()
return True
def zoomy(self, button, direction):
'zoomy in direction'
for a in self._active:
a.yaxis.zoom(direction)
self.canvas.draw()
return True
def get_filechooser(self):
return FileChooserDialog(
title='Save the figure',
parent=self.win,
filetypes=self.canvas.get_supported_filetypes(),
default_filetype=self.canvas.get_default_filetype())
def save_figure(self, *args):
fname, format = self.get_filechooser().get_filename_from_user()
if fname:
try:
self.canvas.print_figure(fname, format=format)
except Exception as e:
error_msg_gtk(str(e), parent=self)
class FileChooserDialog(gtk.FileChooserDialog):
"""GTK+ 2.4 file selector which presents the user with a menu
of supported image formats
"""
def __init__ (self,
title = 'Save file',
parent = None,
action = gtk.FILE_CHOOSER_ACTION_SAVE,
buttons = (gtk.STOCK_CANCEL, gtk.RESPONSE_CANCEL,
gtk.STOCK_SAVE, gtk.RESPONSE_OK),
path = None,
filetypes = [],
default_filetype = None
):
super(FileChooserDialog, self).__init__ (title, parent, action,
buttons)
super(FileChooserDialog, self).set_do_overwrite_confirmation(True)
self.set_default_response (gtk.RESPONSE_OK)
if not path: path = os.getcwd() + os.sep
# create an extra widget to list supported image formats
self.set_current_folder (path)
self.set_current_name ('image.' + default_filetype)
hbox = gtk.HBox (spacing=10)
hbox.pack_start (gtk.Label ("File Format:"), expand=False)
liststore = gtk.ListStore(gobject.TYPE_STRING)
cbox = gtk.ComboBox(liststore)
cell = gtk.CellRendererText()
cbox.pack_start(cell, True)
cbox.add_attribute(cell, 'text', 0)
hbox.pack_start (cbox)
self.filetypes = filetypes
self.sorted_filetypes = filetypes.items()
self.sorted_filetypes.sort()
default = 0
for i, (ext, name) in enumerate(self.sorted_filetypes):
cbox.append_text ("%s (*.%s)" % (name, ext))
if ext == default_filetype:
default = i
cbox.set_active(default)
self.ext = default_filetype
def cb_cbox_changed (cbox, data=None):
"""File extension changed"""
head, filename = os.path.split(self.get_filename())
root, ext = os.path.splitext(filename)
ext = ext[1:]
new_ext = self.sorted_filetypes[cbox.get_active()][0]
self.ext = new_ext
if ext in self.filetypes:
filename = root + '.' + new_ext
elif ext == '':
filename = filename.rstrip('.') + '.' + new_ext
self.set_current_name (filename)
cbox.connect ("changed", cb_cbox_changed)
hbox.show_all()
self.set_extra_widget(hbox)
def get_filename_from_user (self):
while True:
filename = None
if self.run() != int(gtk.RESPONSE_OK):
break
filename = self.get_filename()
break
return filename, self.ext
class DialogLineprops:
"""
A GUI dialog for controlling lineprops
"""
signals = (
'on_combobox_lineprops_changed',
'on_combobox_linestyle_changed',
'on_combobox_marker_changed',
'on_colorbutton_linestyle_color_set',
'on_colorbutton_markerface_color_set',
'on_dialog_lineprops_okbutton_clicked',
'on_dialog_lineprops_cancelbutton_clicked',
)
linestyles = [ls for ls in lines.Line2D.lineStyles if ls.strip()]
linestyled = dict([ (s,i) for i,s in enumerate(linestyles)])
markers = [m for m in markers.MarkerStyle.markers if cbook.is_string_like(m)]
markerd = dict([(s,i) for i,s in enumerate(markers)])
def __init__(self, lines):
import gtk.glade
datadir = matplotlib.get_data_path()
gladefile = os.path.join(datadir, 'lineprops.glade')
if not os.path.exists(gladefile):
raise IOError('Could not find gladefile lineprops.glade in %s'%datadir)
self._inited = False
self._updateson = True # suppress updates when setting widgets manually
self.wtree = gtk.glade.XML(gladefile, 'dialog_lineprops')
self.wtree.signal_autoconnect(dict([(s, getattr(self, s)) for s in self.signals]))
self.dlg = self.wtree.get_widget('dialog_lineprops')
self.lines = lines
cbox = self.wtree.get_widget('combobox_lineprops')
cbox.set_active(0)
self.cbox_lineprops = cbox
cbox = self.wtree.get_widget('combobox_linestyles')
for ls in self.linestyles:
cbox.append_text(ls)
cbox.set_active(0)
self.cbox_linestyles = cbox
cbox = self.wtree.get_widget('combobox_markers')
for m in self.markers:
cbox.append_text(m)
cbox.set_active(0)
self.cbox_markers = cbox
self._lastcnt = 0
self._inited = True
def show(self):
'populate the combo box'
self._updateson = False
# flush the old
cbox = self.cbox_lineprops
for i in range(self._lastcnt-1,-1,-1):
cbox.remove_text(i)
# add the new
for line in self.lines:
cbox.append_text(line.get_label())
cbox.set_active(0)
self._updateson = True
self._lastcnt = len(self.lines)
self.dlg.show()
def get_active_line(self):
'get the active line'
ind = self.cbox_lineprops.get_active()
line = self.lines[ind]
return line
def get_active_linestyle(self):
'get the active lineinestyle'
ind = self.cbox_linestyles.get_active()
ls = self.linestyles[ind]
return ls
def get_active_marker(self):
'get the active lineinestyle'
ind = self.cbox_markers.get_active()
m = self.markers[ind]
return m
def _update(self):
'update the active line props from the widgets'
if not self._inited or not self._updateson: return
line = self.get_active_line()
ls = self.get_active_linestyle()
marker = self.get_active_marker()
line.set_linestyle(ls)
line.set_marker(marker)
button = self.wtree.get_widget('colorbutton_linestyle')
color = button.get_color()
r, g, b = [val/65535. for val in (color.red, color.green, color.blue)]
line.set_color((r,g,b))
button = self.wtree.get_widget('colorbutton_markerface')
color = button.get_color()
r, g, b = [val/65535. for val in (color.red, color.green, color.blue)]
line.set_markerfacecolor((r,g,b))
line.figure.canvas.draw()
def on_combobox_lineprops_changed(self, item):
'update the widgets from the active line'
if not self._inited: return
self._updateson = False
line = self.get_active_line()
ls = line.get_linestyle()
if ls is None: ls = 'None'
self.cbox_linestyles.set_active(self.linestyled[ls])
marker = line.get_marker()
if marker is None: marker = 'None'
self.cbox_markers.set_active(self.markerd[marker])
r,g,b = colorConverter.to_rgb(line.get_color())
color = gtk.gdk.Color(*[int(val*65535) for val in (r,g,b)])
button = self.wtree.get_widget('colorbutton_linestyle')
button.set_color(color)
r,g,b = colorConverter.to_rgb(line.get_markerfacecolor())
color = gtk.gdk.Color(*[int(val*65535) for val in (r,g,b)])
button = self.wtree.get_widget('colorbutton_markerface')
button.set_color(color)
self._updateson = True
def on_combobox_linestyle_changed(self, item):
self._update()
def on_combobox_marker_changed(self, item):
self._update()
def on_colorbutton_linestyle_color_set(self, button):
self._update()
def on_colorbutton_markerface_color_set(self, button):
'called colorbutton marker clicked'
self._update()
def on_dialog_lineprops_okbutton_clicked(self, button):
self._update()
self.dlg.hide()
def on_dialog_lineprops_cancelbutton_clicked(self, button):
self.dlg.hide()
# set icon used when windows are minimized
# Unfortunately, the SVG renderer (rsvg) leaks memory under earlier
# versions of pygtk, so we have to use a PNG file instead.
try:
if gtk.pygtk_version < (2, 8, 0) or sys.platform == 'win32':
icon_filename = 'matplotlib.png'
else:
icon_filename = 'matplotlib.svg'
window_icon = os.path.join(rcParams['datapath'], 'images', icon_filename)
except:
window_icon = None
verbose.report('Could not load matplotlib icon: %s' % sys.exc_info()[1])
def error_msg_gtk(msg, parent=None):
if parent is not None: # find the toplevel gtk.Window
parent = parent.get_toplevel()
if parent.flags() & gtk.TOPLEVEL == 0:
parent = None
if not is_string_like(msg):
msg = ','.join(map(str,msg))
dialog = gtk.MessageDialog(
parent = parent,
type = gtk.MESSAGE_ERROR,
buttons = gtk.BUTTONS_OK,
message_format = msg)
dialog.run()
dialog.destroy()
FigureManager = FigureManagerGTK
| gpl-3.0 |
chrsrds/scikit-learn | benchmarks/bench_20newsgroups.py | 22 | 3387 | from time import time
import argparse
import numpy as np
from sklearn.dummy import DummyClassifier
from sklearn.datasets import fetch_20newsgroups_vectorized
from sklearn.metrics import accuracy_score
from sklearn.utils.validation import check_array
from sklearn.ensemble import RandomForestClassifier
from sklearn.ensemble import ExtraTreesClassifier
from sklearn.ensemble import AdaBoostClassifier
from sklearn.linear_model import LogisticRegression
from sklearn.naive_bayes import MultinomialNB
ESTIMATORS = {
"dummy": DummyClassifier(),
"random_forest": RandomForestClassifier(max_features="sqrt",
min_samples_split=10),
"extra_trees": ExtraTreesClassifier(max_features="sqrt",
min_samples_split=10),
"logistic_regression": LogisticRegression(),
"naive_bayes": MultinomialNB(),
"adaboost": AdaBoostClassifier(n_estimators=10),
}
###############################################################################
# Data
if __name__ == "__main__":
parser = argparse.ArgumentParser()
parser.add_argument('-e', '--estimators', nargs="+", required=True,
choices=ESTIMATORS)
args = vars(parser.parse_args())
data_train = fetch_20newsgroups_vectorized(subset="train")
data_test = fetch_20newsgroups_vectorized(subset="test")
X_train = check_array(data_train.data, dtype=np.float32,
accept_sparse="csc")
X_test = check_array(data_test.data, dtype=np.float32, accept_sparse="csr")
y_train = data_train.target
y_test = data_test.target
print("20 newsgroups")
print("=============")
print("X_train.shape = {0}".format(X_train.shape))
print("X_train.format = {0}".format(X_train.format))
print("X_train.dtype = {0}".format(X_train.dtype))
print("X_train density = {0}"
"".format(X_train.nnz / np.product(X_train.shape)))
print("y_train {0}".format(y_train.shape))
print("X_test {0}".format(X_test.shape))
print("X_test.format = {0}".format(X_test.format))
print("X_test.dtype = {0}".format(X_test.dtype))
print("y_test {0}".format(y_test.shape))
print()
print("Classifier Training")
print("===================")
accuracy, train_time, test_time = {}, {}, {}
for name in sorted(args["estimators"]):
clf = ESTIMATORS[name]
try:
clf.set_params(random_state=0)
except (TypeError, ValueError):
pass
print("Training %s ... " % name, end="")
t0 = time()
clf.fit(X_train, y_train)
train_time[name] = time() - t0
t0 = time()
y_pred = clf.predict(X_test)
test_time[name] = time() - t0
accuracy[name] = accuracy_score(y_test, y_pred)
print("done")
print()
print("Classification performance:")
print("===========================")
print()
print("%s %s %s %s" % ("Classifier ", "train-time", "test-time",
"Accuracy"))
print("-" * 44)
for name in sorted(accuracy, key=accuracy.get):
print("%s %s %s %s" % (name.ljust(16),
("%.4fs" % train_time[name]).center(10),
("%.4fs" % test_time[name]).center(10),
("%.4f" % accuracy[name]).center(10)))
print()
| bsd-3-clause |
tdgoodrich/mase | python101/code/zipf.py | 14 | 1453 | """This module contains code from
Think Python by Allen B. Downey
http://thinkpython.com
Copyright 2012 Allen B. Downey
License: GNU GPLv3 http://www.gnu.org/licenses/gpl.html
"""
import sys
import string
import matplotlib.pyplot as pyplot
from analyze_book import *
def rank_freq(hist):
"""Returns a list of tuples where each tuple is a rank
and the number of times the item with that rank appeared.
"""
# sort the list of frequencies in decreasing order
freqs = hist.values()
freqs.sort(reverse=True)
# enumerate the ranks and frequencies
rf = [(r+1, f) for r, f in enumerate(freqs)]
return rf
def print_ranks(hist):
"""Prints the rank vs. frequency data."""
for r, f in rank_freq(hist):
print r, f
def plot_ranks(hist, scale='log'):
"""Plots frequency vs. rank."""
t = rank_freq(hist)
rs, fs = zip(*t)
pyplot.clf()
pyplot.xscale(scale)
pyplot.yscale(scale)
pyplot.title('Zipf plot')
pyplot.xlabel('rank')
pyplot.ylabel('frequency')
pyplot.plot(rs, fs, 'r-')
pyplot.show()
def main(name, filename='emma.txt', flag='plot', *args):
hist = process_file(filename, skip_header=True)
# either print the results or plot them
if flag == 'print':
print_ranks(hist)
elif flag == 'plot':
plot_ranks(hist)
else:
print 'Usage: zipf.py filename [print|plot]'
if __name__ == '__main__':
main(*sys.argv)
| unlicense |
kris-singh/pgmpy | pgmpy/tests/test_models/test_BayesianModel.py | 1 | 26569 | import unittest
import networkx as nx
import pandas as pd
import numpy as np
import numpy.testing as np_test
from pgmpy.models import BayesianModel, MarkovModel
import pgmpy.tests.help_functions as hf
from pgmpy.factors.discrete import TabularCPD, JointProbabilityDistribution, DiscreteFactor
from pgmpy.independencies import Independencies
from pgmpy.estimators import BayesianEstimator, BaseEstimator, MaximumLikelihoodEstimator
class TestBaseModelCreation(unittest.TestCase):
def setUp(self):
self.G = BayesianModel()
def test_class_init_without_data(self):
self.assertIsInstance(self.G, nx.DiGraph)
def test_class_init_with_data_string(self):
self.g = BayesianModel([('a', 'b'), ('b', 'c')])
self.assertListEqual(sorted(self.g.nodes()), ['a', 'b', 'c'])
self.assertListEqual(hf.recursive_sorted(self.g.edges()),
[['a', 'b'], ['b', 'c']])
def test_class_init_with_data_nonstring(self):
BayesianModel([(1, 2), (2, 3)])
def test_add_node_string(self):
self.G.add_node('a')
self.assertListEqual(self.G.nodes(), ['a'])
def test_add_node_nonstring(self):
self.G.add_node(1)
def test_add_nodes_from_string(self):
self.G.add_nodes_from(['a', 'b', 'c', 'd'])
self.assertListEqual(sorted(self.G.nodes()), ['a', 'b', 'c', 'd'])
def test_add_nodes_from_non_string(self):
self.G.add_nodes_from([1, 2, 3, 4])
def test_add_edge_string(self):
self.G.add_edge('d', 'e')
self.assertListEqual(sorted(self.G.nodes()), ['d', 'e'])
self.assertListEqual(self.G.edges(), [('d', 'e')])
self.G.add_nodes_from(['a', 'b', 'c'])
self.G.add_edge('a', 'b')
self.assertListEqual(hf.recursive_sorted(self.G.edges()),
[['a', 'b'], ['d', 'e']])
def test_add_edge_nonstring(self):
self.G.add_edge(1, 2)
def test_add_edge_selfloop(self):
self.assertRaises(ValueError, self.G.add_edge, 'a', 'a')
def test_add_edge_result_cycle(self):
self.G.add_edges_from([('a', 'b'), ('a', 'c')])
self.assertRaises(ValueError, self.G.add_edge, 'c', 'a')
def test_add_edges_from_string(self):
self.G.add_edges_from([('a', 'b'), ('b', 'c')])
self.assertListEqual(sorted(self.G.nodes()), ['a', 'b', 'c'])
self.assertListEqual(hf.recursive_sorted(self.G.edges()),
[['a', 'b'], ['b', 'c']])
self.G.add_nodes_from(['d', 'e', 'f'])
self.G.add_edges_from([('d', 'e'), ('e', 'f')])
self.assertListEqual(sorted(self.G.nodes()),
['a', 'b', 'c', 'd', 'e', 'f'])
self.assertListEqual(hf.recursive_sorted(self.G.edges()),
hf.recursive_sorted([('a', 'b'), ('b', 'c'),
('d', 'e'), ('e', 'f')]))
def test_add_edges_from_nonstring(self):
self.G.add_edges_from([(1, 2), (2, 3)])
def test_add_edges_from_self_loop(self):
self.assertRaises(ValueError, self.G.add_edges_from,
[('a', 'a')])
def test_add_edges_from_result_cycle(self):
self.assertRaises(ValueError, self.G.add_edges_from,
[('a', 'b'), ('b', 'c'), ('c', 'a')])
def test_update_node_parents_bm_constructor(self):
self.g = BayesianModel([('a', 'b'), ('b', 'c')])
self.assertListEqual(self.g.predecessors('a'), [])
self.assertListEqual(self.g.predecessors('b'), ['a'])
self.assertListEqual(self.g.predecessors('c'), ['b'])
def test_update_node_parents(self):
self.G.add_nodes_from(['a', 'b', 'c'])
self.G.add_edges_from([('a', 'b'), ('b', 'c')])
self.assertListEqual(self.G.predecessors('a'), [])
self.assertListEqual(self.G.predecessors('b'), ['a'])
self.assertListEqual(self.G.predecessors('c'), ['b'])
def tearDown(self):
del self.G
class TestBayesianModelMethods(unittest.TestCase):
def setUp(self):
self.G = BayesianModel([('a', 'd'), ('b', 'd'),
('d', 'e'), ('b', 'c')])
self.G1 = BayesianModel([('diff', 'grade'), ('intel', 'grade')])
diff_cpd = TabularCPD('diff', 2, values=[[0.2], [0.8]])
intel_cpd = TabularCPD('intel', 3, values=[[0.5], [0.3], [0.2]])
grade_cpd = TabularCPD('grade', 3, values=[[0.1, 0.1, 0.1, 0.1, 0.1, 0.1],
[0.1, 0.1, 0.1, 0.1, 0.1, 0.1],
[0.8, 0.8, 0.8, 0.8, 0.8, 0.8]],
evidence=['diff', 'intel'], evidence_card=[2, 3])
self.G1.add_cpds(diff_cpd, intel_cpd, grade_cpd)
def test_moral_graph(self):
moral_graph = self.G.moralize()
self.assertListEqual(sorted(moral_graph.nodes()), ['a', 'b', 'c', 'd', 'e'])
for edge in moral_graph.edges():
self.assertTrue(edge in [('a', 'b'), ('a', 'd'), ('b', 'c'), ('d', 'b'), ('e', 'd')] or
(edge[1], edge[0]) in [('a', 'b'), ('a', 'd'), ('b', 'c'), ('d', 'b'), ('e', 'd')])
def test_moral_graph_with_edge_present_over_parents(self):
G = BayesianModel([('a', 'd'), ('d', 'e'), ('b', 'd'), ('b', 'c'), ('a', 'b')])
moral_graph = G.moralize()
self.assertListEqual(sorted(moral_graph.nodes()), ['a', 'b', 'c', 'd', 'e'])
for edge in moral_graph.edges():
self.assertTrue(edge in [('a', 'b'), ('c', 'b'), ('d', 'a'), ('d', 'b'), ('d', 'e')] or
(edge[1], edge[0]) in [('a', 'b'), ('c', 'b'), ('d', 'a'), ('d', 'b'), ('d', 'e')])
def test_local_independencies(self):
self.assertEqual(self.G.local_independencies('a'), Independencies(['a', ['b', 'c']]))
self.assertEqual(self.G.local_independencies('c'), Independencies(['c', ['a', 'd', 'e'], 'b']))
self.assertEqual(self.G.local_independencies('d'), Independencies(['d', 'c', ['b', 'a']]))
self.assertEqual(self.G.local_independencies('e'), Independencies(['e', ['c', 'b', 'a'], 'd']))
self.assertEqual(self.G.local_independencies('b'), Independencies(['b', 'a']))
self.assertEqual(self.G1.local_independencies('grade'), Independencies())
def test_get_independencies(self):
chain = BayesianModel([('X', 'Y'), ('Y', 'Z')])
self.assertEqual(chain.get_independencies(), Independencies(('X', 'Z', 'Y'), ('Z', 'X', 'Y')))
fork = BayesianModel([('Y', 'X'), ('Y', 'Z')])
self.assertEqual(fork.get_independencies(), Independencies(('X', 'Z', 'Y'), ('Z', 'X', 'Y')))
collider = BayesianModel([('X', 'Y'), ('Z', 'Y')])
self.assertEqual(collider.get_independencies(), Independencies(('X', 'Z'), ('Z', 'X')))
def test_is_imap(self):
val = [0.01, 0.01, 0.08, 0.006, 0.006, 0.048, 0.004, 0.004, 0.032,
0.04, 0.04, 0.32, 0.024, 0.024, 0.192, 0.016, 0.016, 0.128]
JPD = JointProbabilityDistribution(['diff', 'intel', 'grade'], [2, 3, 3], val)
fac = DiscreteFactor(['diff', 'intel', 'grade'], [2, 3, 3], val)
self.assertTrue(self.G1.is_imap(JPD))
self.assertRaises(TypeError, self.G1.is_imap, fac)
def test_get_immoralities(self):
G = BayesianModel([('x', 'y'), ('z', 'y'), ('x', 'z'), ('w', 'y')])
self.assertEqual(G.get_immoralities(), {('w', 'x'), ('w', 'z')})
G1 = BayesianModel([('x', 'y'), ('z', 'y'), ('z', 'x'), ('w', 'y')])
self.assertEqual(G1.get_immoralities(), {('w', 'x'), ('w', 'z')})
G2 = BayesianModel([('x', 'y'), ('z', 'y'), ('x', 'z'), ('w', 'y'), ('w', 'x')])
self.assertEqual(G2.get_immoralities(), {('w', 'z')})
def test_is_iequivalent(self):
G = BayesianModel([('x', 'y'), ('z', 'y'), ('x', 'z'), ('w', 'y')])
self.assertRaises(TypeError, G.is_iequivalent, MarkovModel())
G1 = BayesianModel([('V', 'W'), ('W', 'X'), ('X', 'Y'), ('Z', 'Y')])
G2 = BayesianModel([('W', 'V'), ('X', 'W'), ('X', 'Y'), ('Z', 'Y')])
self.assertTrue(G1.is_iequivalent(G2))
G3 = BayesianModel([('W', 'V'), ('W', 'X'), ('Y', 'X'), ('Z', 'Y')])
self.assertFalse(G3.is_iequivalent(G2))
def test_copy(self):
model_copy = self.G1.copy()
self.assertEqual(sorted(self.G1.nodes()), sorted(model_copy.nodes()))
self.assertEqual(sorted(self.G1.edges()), sorted(model_copy.edges()))
self.assertNotEqual(id(self.G1.get_cpds('diff')),
id(model_copy.get_cpds('diff')))
self.G1.remove_cpds('diff')
diff_cpd = TabularCPD('diff', 2, values=[[0.3], [0.7]])
self.G1.add_cpds(diff_cpd)
self.assertNotEqual(self.G1.get_cpds('diff'),
model_copy.get_cpds('diff'))
self.G1.remove_node('intel')
self.assertNotEqual(sorted(self.G1.nodes()), sorted(model_copy.nodes()))
self.assertNotEqual(sorted(self.G1.edges()), sorted(model_copy.edges()))
def test_remove_node(self):
self.G1.remove_node('diff')
self.assertEqual(sorted(self.G1.nodes()), sorted(['grade', 'intel']))
self.assertRaises(ValueError, self.G1.get_cpds, 'diff')
def test_remove_nodes_from(self):
self.G1.remove_nodes_from(['diff', 'grade'])
self.assertEqual(sorted(self.G1.nodes()), sorted(['intel']))
self.assertRaises(ValueError, self.G1.get_cpds, 'diff')
self.assertRaises(ValueError, self.G1.get_cpds, 'grade')
def tearDown(self):
del self.G
del self.G1
class TestBayesianModelCPD(unittest.TestCase):
def setUp(self):
self.G = BayesianModel([('d', 'g'), ('i', 'g'), ('g', 'l'),
('i', 's')])
def test_active_trail_nodes(self):
self.assertEqual(sorted(self.G.active_trail_nodes('d')), ['d', 'g', 'l'])
self.assertEqual(sorted(self.G.active_trail_nodes('i')), ['g', 'i', 'l', 's'])
def test_active_trail_nodes_args(self):
self.assertEqual(sorted(self.G.active_trail_nodes('d', observed='g')), ['d', 'i', 's'])
self.assertEqual(sorted(self.G.active_trail_nodes('l', observed='g')), ['l'])
self.assertEqual(sorted(self.G.active_trail_nodes('s', observed=['i', 'l'])), ['s'])
self.assertEqual(sorted(self.G.active_trail_nodes('s', observed=['d', 'l'])), ['g', 'i', 's'])
def test_is_active_trail_triplets(self):
self.assertTrue(self.G.is_active_trail('d', 'l'))
self.assertTrue(self.G.is_active_trail('g', 's'))
self.assertFalse(self.G.is_active_trail('d', 'i'))
self.assertTrue(self.G.is_active_trail('d', 'i', observed='g'))
self.assertFalse(self.G.is_active_trail('d', 'l', observed='g'))
self.assertFalse(self.G.is_active_trail('i', 'l', observed='g'))
self.assertTrue(self.G.is_active_trail('d', 'i', observed='l'))
self.assertFalse(self.G.is_active_trail('g', 's', observed='i'))
def test_is_active_trail(self):
self.assertFalse(self.G.is_active_trail('d', 's'))
self.assertTrue(self.G.is_active_trail('s', 'l'))
self.assertTrue(self.G.is_active_trail('d', 's', observed='g'))
self.assertFalse(self.G.is_active_trail('s', 'l', observed='g'))
def test_is_active_trail_args(self):
self.assertFalse(self.G.is_active_trail('s', 'l', 'i'))
self.assertFalse(self.G.is_active_trail('s', 'l', 'g'))
self.assertTrue(self.G.is_active_trail('d', 's', 'l'))
self.assertFalse(self.G.is_active_trail('d', 's', ['i', 'l']))
def test_get_cpds(self):
cpd_d = TabularCPD('d', 2, values=np.random.rand(2, 1))
cpd_i = TabularCPD('i', 2, values=np.random.rand(2, 1))
cpd_g = TabularCPD('g', 2, values=np.random.rand(2, 4),
evidence=['d', 'i'], evidence_card=[2, 2])
cpd_l = TabularCPD('l', 2, values=np.random.rand(2, 2),
evidence=['g'], evidence_card=[2])
cpd_s = TabularCPD('s', 2, values=np.random.rand(2, 2),
evidence=['i'], evidence_card=[2])
self.G.add_cpds(cpd_d, cpd_i, cpd_g, cpd_l, cpd_s)
self.assertEqual(self.G.get_cpds('d').variable, 'd')
def test_get_cpds1(self):
self.model = BayesianModel([('A', 'AB')])
cpd_a = TabularCPD('A', 2, values=np.random.rand(2, 1))
cpd_ab = TabularCPD('AB', 2, values=np.random.rand(2, 2),
evidence=['A'], evidence_card=[2])
self.model.add_cpds(cpd_a, cpd_ab)
self.assertEqual(self.model.get_cpds('A').variable, 'A')
self.assertEqual(self.model.get_cpds('AB').variable, 'AB')
self.assertRaises(ValueError, self.model.get_cpds, 'B')
self.model.add_node('B')
self.assertRaises(ValueError, self.model.get_cpds, 'B')
def test_add_single_cpd(self):
cpd_s = TabularCPD('s', 2, np.random.rand(2, 2), ['i'], [2])
self.G.add_cpds(cpd_s)
self.assertListEqual(self.G.get_cpds(), [cpd_s])
def test_add_multiple_cpds(self):
cpd_d = TabularCPD('d', 2, values=np.random.rand(2, 1))
cpd_i = TabularCPD('i', 2, values=np.random.rand(2, 1))
cpd_g = TabularCPD('g', 2, values=np.random.rand(2, 4),
evidence=['d', 'i'], evidence_card=[2, 2])
cpd_l = TabularCPD('l', 2, values=np.random.rand(2, 2),
evidence=['g'], evidence_card=[2])
cpd_s = TabularCPD('s', 2, values=np.random.rand(2, 2),
evidence=['i'], evidence_card=[2])
self.G.add_cpds(cpd_d, cpd_i, cpd_g, cpd_l, cpd_s)
self.assertEqual(self.G.get_cpds('d'), cpd_d)
self.assertEqual(self.G.get_cpds('i'), cpd_i)
self.assertEqual(self.G.get_cpds('g'), cpd_g)
self.assertEqual(self.G.get_cpds('l'), cpd_l)
self.assertEqual(self.G.get_cpds('s'), cpd_s)
def test_check_model(self):
cpd_g = TabularCPD('g', 2, values=np.array([[0.2, 0.3, 0.4, 0.6],
[0.8, 0.7, 0.6, 0.4]]),
evidence=['d', 'i'], evidence_card=[2, 2])
cpd_s = TabularCPD('s', 2, values=np.array([[0.2, 0.3],
[0.8, 0.7]]),
evidence=['i'], evidence_card=[2])
cpd_l = TabularCPD('l', 2, values=np.array([[0.2, 0.3],
[0.8, 0.7]]),
evidence=['g'], evidence_card=[2])
self.G.add_cpds(cpd_g, cpd_s, cpd_l)
self.assertRaises(ValueError, self.G.check_model)
cpd_d = TabularCPD('d', 2, values=[[0.8, 0.2]])
cpd_i = TabularCPD('i', 2, values=[[0.7, 0.3]])
self.G.add_cpds(cpd_d, cpd_i)
self.assertTrue(self.G.check_model())
def test_check_model1(self):
cpd_g = TabularCPD('g', 2, values=np.array([[0.2, 0.3],
[0.8, 0.7]]),
evidence=['i'], evidence_card=[2])
self.G.add_cpds(cpd_g)
self.assertRaises(ValueError, self.G.check_model)
self.G.remove_cpds(cpd_g)
cpd_g = TabularCPD('g', 2, values=np.array([[0.2, 0.3, 0.4, 0.6],
[0.8, 0.7, 0.6, 0.4]]),
evidence=['d', 's'], evidence_card=[2, 2])
self.G.add_cpds(cpd_g)
self.assertRaises(ValueError, self.G.check_model)
self.G.remove_cpds(cpd_g)
cpd_g = TabularCPD('g', 2, values=np.array([[0.2, 0.3],
[0.8, 0.7]]),
evidence=['l'], evidence_card=[2])
self.G.add_cpds(cpd_g)
self.assertRaises(ValueError, self.G.check_model)
self.G.remove_cpds(cpd_g)
cpd_l = TabularCPD('l', 2, values=np.array([[0.2, 0.3],
[0.8, 0.7]]),
evidence=['d'], evidence_card=[2])
self.G.add_cpds(cpd_l)
self.assertRaises(ValueError, self.G.check_model)
self.G.remove_cpds(cpd_l)
cpd_l = TabularCPD('l', 2, values=np.array([[0.2, 0.3, 0.4, 0.6],
[0.8, 0.7, 0.6, 0.4]]),
evidence=['d', 'i'], evidence_card=[2, 2])
self.G.add_cpds(cpd_l)
self.assertRaises(ValueError, self.G.check_model)
self.G.remove_cpds(cpd_l)
cpd_l = TabularCPD('l', 2, values=np.array([[0.2, 0.3, 0.4, 0.6, 0.2, 0.3, 0.4, 0.6],
[0.8, 0.7, 0.6, 0.4, 0.8, 0.7, 0.6, 0.4]]),
evidence=['g', 'd', 'i'], evidence_card=[2, 2, 2])
self.G.add_cpds(cpd_l)
self.assertRaises(ValueError, self.G.check_model)
self.G.remove_cpds(cpd_l)
def test_check_model2(self):
cpd_s = TabularCPD('s', 2, values=np.array([[0.5, 0.3],
[0.8, 0.7]]),
evidence=['i'], evidence_card=[2])
self.G.add_cpds(cpd_s)
self.assertRaises(ValueError, self.G.check_model)
self.G.remove_cpds(cpd_s)
cpd_g = TabularCPD('g', 2, values=np.array([[0.2, 0.3, 0.4, 0.6],
[0.3, 0.7, 0.6, 0.4]]),
evidence=['d', 'i'], evidence_card=[2, 2])
self.G.add_cpds(cpd_g)
self.assertRaises(ValueError, self.G.check_model)
self.G.remove_cpds(cpd_g)
cpd_l = TabularCPD('l', 2, values=np.array([[0.2, 0.3],
[0.1, 0.7]]),
evidence=['g'], evidence_card=[2])
self.G.add_cpds(cpd_l)
self.assertRaises(ValueError, self.G.check_model)
self.G.remove_cpds(cpd_l)
def tearDown(self):
del self.G
class TestBayesianModelFitPredict(unittest.TestCase):
def setUp(self):
self.model_disconnected = BayesianModel()
self.model_disconnected.add_nodes_from(['A', 'B', 'C', 'D', 'E'])
self.model_connected = BayesianModel([('A', 'B'), ('C', 'B'), ('C', 'D'), ('B', 'E')])
self.model2 = BayesianModel([('A', 'C'), ('B', 'C')])
self.data1 = pd.DataFrame(data={'A': [0, 0, 1], 'B': [0, 1, 0], 'C': [1, 1, 0]})
self.data2 = pd.DataFrame(data={'A': [0, np.NaN, 1],
'B': [0, 1, 0],
'C': [1, 1, np.NaN],
'D': [np.NaN, 'Y', np.NaN]})
def test_bayesian_fit(self):
print(isinstance(BayesianEstimator, BaseEstimator))
print(isinstance(MaximumLikelihoodEstimator, BaseEstimator))
self.model2.fit(self.data1, estimator_type=BayesianEstimator, prior_type="dirichlet", pseudo_counts=[9, 3])
self.assertEqual(self.model2.get_cpds('B'), TabularCPD('B', 2, [[11.0 / 15], [4.0 / 15]]))
def test_fit_missing_data(self):
self.model2.fit(self.data2, state_names={'C': [0, 1]}, complete_samples_only=False)
cpds = set([TabularCPD('A', 2, [[0.5], [0.5]]),
TabularCPD('B', 2, [[2. / 3], [1. / 3]]),
TabularCPD('C', 2, [[0, 0.5, 0.5, 0.5], [1, 0.5, 0.5, 0.5]],
evidence=['A', 'B'], evidence_card=[2, 2])])
self.assertSetEqual(cpds, set(self.model2.get_cpds()))
def test_disconnected_fit(self):
values = pd.DataFrame(np.random.randint(low=0, high=2, size=(1000, 5)),
columns=['A', 'B', 'C', 'D', 'E'])
self.model_disconnected.fit(values)
for node in ['A', 'B', 'C', 'D', 'E']:
cpd = self.model_disconnected.get_cpds(node)
self.assertEqual(cpd.variable, node)
np_test.assert_array_equal(cpd.cardinality, np.array([2]))
value = (values.ix[:, node].value_counts() /
values.ix[:, node].value_counts().sum())
value = value.reindex(sorted(value.index)).values
np_test.assert_array_equal(cpd.values, value)
def test_connected_predict(self):
np.random.seed(42)
values = pd.DataFrame(np.random.randint(low=0, high=2, size=(1000, 5)),
columns=['A', 'B', 'C', 'D', 'E'])
fit_data = values[:800]
predict_data = values[800:].copy()
self.model_connected.fit(fit_data)
self.assertRaises(ValueError, self.model_connected.predict, predict_data)
predict_data.drop('E', axis=1, inplace=True)
e_predict = self.model_connected.predict(predict_data)
np_test.assert_array_equal(e_predict.values.ravel(),
np.array([1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1,
1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0,
0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0,
0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1,
0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1,
1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1,
1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0,
1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1,
0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1,
1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1,
1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1,
0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0,
1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1,
1, 1, 1, 0]))
def tearDown(self):
del self.model_connected
del self.model_disconnected
class TestDirectedGraphCPDOperations(unittest.TestCase):
def setUp(self):
self.graph = BayesianModel()
def test_add_single_cpd(self):
cpd = TabularCPD('grade', 2, values=np.random.rand(2, 4),
evidence=['diff', 'intel'], evidence_card=[2, 2])
self.graph.add_edges_from([('diff', 'grade'), ('intel', 'grade')])
self.graph.add_cpds(cpd)
self.assertListEqual(self.graph.get_cpds(), [cpd])
def test_add_multiple_cpds(self):
cpd1 = TabularCPD('diff', 2, values=np.random.rand(2, 1))
cpd2 = TabularCPD('intel', 2, values=np.random.rand(2, 1))
cpd3 = TabularCPD('grade', 2, values=np.random.rand(2, 4),
evidence=['diff', 'intel'], evidence_card=[2, 2])
self.graph.add_edges_from([('diff', 'grade'), ('intel', 'grade')])
self.graph.add_cpds(cpd1, cpd2, cpd3)
self.assertListEqual(self.graph.get_cpds(), [cpd1, cpd2, cpd3])
def test_remove_single_cpd(self):
cpd1 = TabularCPD('diff', 2, values=np.random.rand(2, 1))
cpd2 = TabularCPD('intel', 2, values=np.random.rand(2, 1))
cpd3 = TabularCPD('grade', 2, values=np.random.rand(2, 4),
evidence=['diff', 'intel'], evidence_card=[2, 2])
self.graph.add_edges_from([('diff', 'grade'), ('intel', 'grade')])
self.graph.add_cpds(cpd1, cpd2, cpd3)
self.graph.remove_cpds(cpd1)
self.assertListEqual(self.graph.get_cpds(), [cpd2, cpd3])
def test_remove_multiple_cpds(self):
cpd1 = TabularCPD('diff', 2, values=np.random.rand(2, 1))
cpd2 = TabularCPD('intel', 2, values=np.random.rand(2, 1))
cpd3 = TabularCPD('grade', 2, values=np.random.rand(2, 4),
evidence=['diff', 'intel'], evidence_card=[2, 2])
self.graph.add_edges_from([('diff', 'grade'), ('intel', 'grade')])
self.graph.add_cpds(cpd1, cpd2, cpd3)
self.graph.remove_cpds(cpd1, cpd3)
self.assertListEqual(self.graph.get_cpds(), [cpd2])
def test_remove_single_cpd_string(self):
cpd1 = TabularCPD('diff', 2, values=np.random.rand(2, 1))
cpd2 = TabularCPD('intel', 2, values=np.random.rand(2, 1))
cpd3 = TabularCPD('grade', 2, values=np.random.rand(2, 4),
evidence=['diff', 'intel'], evidence_card=[2, 2])
self.graph.add_edges_from([('diff', 'grade'), ('intel', 'grade')])
self.graph.add_cpds(cpd1, cpd2, cpd3)
self.graph.remove_cpds('diff')
self.assertListEqual(self.graph.get_cpds(), [cpd2, cpd3])
def test_remove_multiple_cpds_string(self):
cpd1 = TabularCPD('diff', 2, values=np.random.rand(2, 1))
cpd2 = TabularCPD('intel', 2, values=np.random.rand(2, 1))
cpd3 = TabularCPD('grade', 2, values=np.random.rand(2, 4),
evidence=['diff', 'intel'], evidence_card=[2, 2])
self.graph.add_edges_from([('diff', 'grade'), ('intel', 'grade')])
self.graph.add_cpds(cpd1, cpd2, cpd3)
self.graph.remove_cpds('diff', 'grade')
self.assertListEqual(self.graph.get_cpds(), [cpd2])
def test_get_cpd_for_node(self):
cpd1 = TabularCPD('diff', 2, values=np.random.rand(2, 1))
cpd2 = TabularCPD('intel', 2, values=np.random.rand(2, 1))
cpd3 = TabularCPD('grade', 2, values=np.random.rand(2, 4),
evidence=['diff', 'intel'], evidence_card=[2, 2])
self.graph.add_edges_from([('diff', 'grade'), ('intel', 'grade')])
self.graph.add_cpds(cpd1, cpd2, cpd3)
self.assertEqual(self.graph.get_cpds('diff'), cpd1)
self.assertEqual(self.graph.get_cpds('intel'), cpd2)
self.assertEqual(self.graph.get_cpds('grade'), cpd3)
def test_get_cpd_raises_error(self):
cpd1 = TabularCPD('diff', 2, values=np.random.rand(2, 1))
cpd2 = TabularCPD('intel', 2, values=np.random.rand(2, 1))
cpd3 = TabularCPD('grade', 2, values=np.random.rand(2, 4),
evidence=['diff', 'intel'], evidence_card=[2, 2])
self.graph.add_edges_from([('diff', 'grade'), ('intel', 'grade')])
self.graph.add_cpds(cpd1, cpd2, cpd3)
self.assertRaises(ValueError, self.graph.get_cpds, 'sat')
def tearDown(self):
del self.graph
| mit |
ch3ll0v3k/scikit-learn | examples/gaussian_process/gp_diabetes_dataset.py | 223 | 1976 | #!/usr/bin/python
# -*- coding: utf-8 -*-
"""
========================================================================
Gaussian Processes regression: goodness-of-fit on the 'diabetes' dataset
========================================================================
In this example, we fit a Gaussian Process model onto the diabetes
dataset.
We determine the correlation parameters with maximum likelihood
estimation (MLE). We use an anisotropic squared exponential
correlation model with a constant regression model. We also use a
nugget of 1e-2 to account for the (strong) noise in the targets.
We compute a cross-validation estimate of the coefficient of
determination (R2) without reperforming MLE, using the set of correlation
parameters found on the whole dataset.
"""
print(__doc__)
# Author: Vincent Dubourg <[email protected]>
# Licence: BSD 3 clause
from sklearn import datasets
from sklearn.gaussian_process import GaussianProcess
from sklearn.cross_validation import cross_val_score, KFold
# Load the dataset from scikit's data sets
diabetes = datasets.load_diabetes()
X, y = diabetes.data, diabetes.target
# Instanciate a GP model
gp = GaussianProcess(regr='constant', corr='absolute_exponential',
theta0=[1e-4] * 10, thetaL=[1e-12] * 10,
thetaU=[1e-2] * 10, nugget=1e-2, optimizer='Welch')
# Fit the GP model to the data performing maximum likelihood estimation
gp.fit(X, y)
# Deactivate maximum likelihood estimation for the cross-validation loop
gp.theta0 = gp.theta_ # Given correlation parameter = MLE
gp.thetaL, gp.thetaU = None, None # None bounds deactivate MLE
# Perform a cross-validation estimate of the coefficient of determination using
# the cross_validation module using all CPUs available on the machine
K = 20 # folds
R2 = cross_val_score(gp, X, y=y, cv=KFold(y.size, K), n_jobs=1).mean()
print("The %d-Folds estimate of the coefficient of determination is R2 = %s"
% (K, R2))
| bsd-3-clause |
butala/pyrsss | pyrsss/emtf/e2hdf.py | 1 | 9945 | import sys
import logging
from argparse import ArgumentParser, ArgumentDefaultsHelpFormatter
import numpy as NP
import pandas as PD
from calc_e import apply_transfer_function as tf_1D
from calc_e_3d import apply_transfer_function as tf_3D
from ..mag.iaga2hdf import read_hdf, write_hdf
from ..usarray_emtf.index import get_index
from usgs_regions import get_region
logger = logging.getLogger('pyrsss.emtf.e2hdf')
def find_1D(header):
"""
Find and return the key associated with the Fernberg physiographic
region at the location of the magnetometer as given in *header*.
"""
lat = header['geodetic_latitude']
lon = header['geodetic_longitude']
region = get_region(lat, lon)
if region:
region = region.replace('-', '_')
return region
def find_3D(index,
header,
max_distance,
quality=5):
"""
Return the list of USArray 3-D EMTF keys (for repository
:class:`Index` *index*) that are less than *max_distance* (in km)
from the magnetometer location specified in *header*. Only include
*quality* or greater sites.
"""
lat = header['geodetic_latitude']
lon = header['geodetic_longitude']
return index.quality_subset(min_quality=quality).by_distance(lat, lon, max_distance)
def apply_emtf(df_E,
df_B,
emtf_key,
index,
extrapolate0=True):
"""
Apply the EMTF associated with *emtf_key* to magnetometer data
found in *df_B* and store result to *df_E*. Use USArray .xml
repository information :class:`Index` to process the 3-D EMTFs.
"""
logger.info('applying transfer function {}'.format(emtf_key))
interval = NP.diff(df_B.index.values[:2])[0] / NP.timedelta64(1, 's')
Bx = df_B.B_X.values
By = df_B.B_Y.values
if emtf_key.startswith('USArray'):
xml_fname = index[emtf_key][1]
Ex, Ey = tf_3D(Bx, By, interval, xml_fname, extrapolate0=extrapolate0)
else:
Ex, Ey = tf_1D(Bx, By, interval, emtf_key)
df_E[emtf_key + '_X'] = Ex
df_E[emtf_key + '_Y'] = Ey
return df_E
def e2hdf(hdf_fname,
source_key='B',
key='E',
replace=False,
include=[],
exclude=[],
_3D=None,
_1D=False,
quality=5,
verbose=True):
"""
Add modeled E columns to the :class:`DataFrame` record stored at
*hdf_fname*. The input to the process (processed magnetometer B_X
and B_Y) are found at *source_key* and the output (E_X and E_Y for
various models) is stored associated with *key*. If *replace*,
replace the *key* data record otherwise add to the data
record. The following control which EMTFs are applied:
- *include*: list of keys to always include
- *exclude*: list of keys to never include
- *_3D*: tuple of two values: 1) the maximum range (in km) from
the measurement site to include USArray EMTF and 2) the
path containing the repository of USArray EMTF .xml files
- *_1D*: if True, include E generated by the 1-D Fernberg model
for the physiographic region enclosing the magnetometer
measurement point
- *quality*: exclude USArray 3-D EMTFs with flagged at a quality
index less than the specified values (5 being the
highest)
If *verbose*, then report the set of applied EMTFs to the logging
facilities.
"""
# setup target DataFrame
df, header = read_hdf(hdf_fname, source_key)
def empty_record():
return PD.DataFrame(index=df.index)
if replace:
logger.info('creating new E record')
df_e = empty_record()
else:
try:
df_e, _ = read_hdf(hdf_fname, key)
logger.info('appending to existing E record')
except KeyError:
logger.info('creating new E record')
df_e = empty_record()
# determine which EMTFs to use
emtf_set = set(include) - set(exclude)
if _1D:
emtf_1D = find_1D(header)
if emtf_1D is not None:
emtf_set.add(emtf_1D)
if _3D is not None:
d_km, repository_path = _3D
index = get_index(repository_path)
for emtf_3D in find_3D(index, header, d_km):
emtf_set.add(emtf_3D)
else:
index = None
# apply EMTFs
if verbose:
logger.info('Applying EMTFs: {}'.format(', '.join(sorted(emtf_set))))
for emtf_key in sorted(emtf_set):
df_e = apply_emtf(df_e, df, emtf_key, index)
# output DataFrame
write_hdf(hdf_fname, df_e, key, header)
return hdf_fname
def e2hdf_3D(hdf_fname,
keys_3D,
repository_path,
source_key='B',
key='E',
replace=False):
"""
Add modeled E columns to the :class:`DataFrame` record stored at
*hdf_fname*. The input to the process (processed magnetometer B_X
and B_Y) are found at *source_key* and the output (E_X and E_Y for
various models) is stored associated with *key*. If *replace*,
replace the *key* data record otherwise add to the data
record. Apply the 3-D transfer functions identified by the list
*keys_3D*. Search for EMTF data records at *repository_path*.
"""
# setup target DataFrame
df, header = read_hdf(hdf_fname, source_key)
def empty_record():
return PD.DataFrame(index=df.index)
if replace:
logger.info('creating new E record')
df_e = empty_record()
else:
try:
df_e, _ = read_hdf(hdf_fname, key)
logger.info('appending to existing E record')
except KeyError:
logger.info('creating new E record')
df_e = empty_record()
# determine which EMTFs to use
emtf_list = []
index = get_index(repository_path)
for key_3D in keys_3D:
candidates = [x for x in index if key_3D in x]
if len(candidates) == 1:
emtf_list.append(candidates[0])
elif len(candidates) == 0:
raise KeyError('could not find {} in index.pkl at {}'.format(key_3D,
repository_path))
else:
raise KeyError('could not unambiguously resolve {} in index.pkl at {} ({} are all candidates)'.format(key_3D,
repository_path,
', '.join(candidates)))
# apply EMTFs
logger.info('Applying EMTFs: {}'.format(', '.join(sorted(emtf_list))))
for emtf_key in emtf_list:
df_e = apply_emtf(df_e, df, emtf_key, index)
# output DataFrame
write_hdf(hdf_fname, df_e, key, header)
return hdf_fname
def float_or_str(x):
"""
Return *x* converted to float or *x* if that fails.
"""
try:
return float(x)
except:
return x
def main(argv=None):
if argv is None:
argv = sys.argv
parser = ArgumentParser('Added modeled E field records to HDF file containing processed B field data.',
formatter_class=ArgumentDefaultsHelpFormatter)
parser.add_argument('hdf_fnames',
type=str,
nargs='*',
metavar='hdf_fname',
help='HDF file record to process')
parser.add_argument('--source-key',
'-s',
type=str,
default='B',
help='')
parser.add_argument('--key',
'-k',
type=str,
default='E',
help='key to associate with the processed records')
parser.add_argument('--replace',
'-r',
action='store_true',
help='replace modeled E field record (otherwise, append to the existing record)')
parser.add_argument('--include',
'-i',
nargs='+',
type=str,
default=[],
help='EMTFs to include')
parser.add_argument('--exclude',
'-e',
nargs='+',
type=str,
default=[],
help='EMTFs to exclude')
parser.add_argument('--1D',
action='store_true',
help='include Fernberg 1-D model result for the physiographic region at the measurement location (if interior to a physiographic region)')
parser.add_argument('--3D',
type=float_or_str,
nargs=2,
help='two arguments: 1) include USArray 3-D model results within the specified geodetic distance (in km) from the measurement location and 2) the path to the USArray EMTF .xml repository')
parser.add_argument('--quality',
'-q',
choices=range(6),
type=int,
default=5,
help='minimum acceptable quality USArray EMTF (i.e., 0 means use all and 5 means use only highest flagged transfer functions)')
args = parser.parse_args(argv[1:])
for hdf_fname in args.hdf_fnames:
e2hdf(hdf_fname,
source_key=args.source_key,
key=args.key,
replace=args.replace,
include=args.include,
exclude=args.exclude,
_3D=getattr(args, '3D'),
_1D=getattr(args, '1D'),
quality=args.quality)
if __name__ == '__main__':
logging.basicConfig(level=logging.INFO)
sys.exit(main())
| mit |
chrsrds/scikit-learn | examples/ensemble/plot_random_forest_embedding.py | 73 | 3659 | """
=========================================================
Hashing feature transformation using Totally Random Trees
=========================================================
RandomTreesEmbedding provides a way to map data to a
very high-dimensional, sparse representation, which might
be beneficial for classification.
The mapping is completely unsupervised and very efficient.
This example visualizes the partitions given by several
trees and shows how the transformation can also be used for
non-linear dimensionality reduction or non-linear classification.
Points that are neighboring often share the same leaf of a tree and therefore
share large parts of their hashed representation. This allows to
separate two concentric circles simply based on the principal components
of the transformed data with truncated SVD.
In high-dimensional spaces, linear classifiers often achieve
excellent accuracy. For sparse binary data, BernoulliNB
is particularly well-suited. The bottom row compares the
decision boundary obtained by BernoulliNB in the transformed
space with an ExtraTreesClassifier forests learned on the
original data.
"""
import numpy as np
import matplotlib.pyplot as plt
from sklearn.datasets import make_circles
from sklearn.ensemble import RandomTreesEmbedding, ExtraTreesClassifier
from sklearn.decomposition import TruncatedSVD
from sklearn.naive_bayes import BernoulliNB
# make a synthetic dataset
X, y = make_circles(factor=0.5, random_state=0, noise=0.05)
# use RandomTreesEmbedding to transform data
hasher = RandomTreesEmbedding(n_estimators=10, random_state=0, max_depth=3)
X_transformed = hasher.fit_transform(X)
# Visualize result after dimensionality reduction using truncated SVD
svd = TruncatedSVD(n_components=2)
X_reduced = svd.fit_transform(X_transformed)
# Learn a Naive Bayes classifier on the transformed data
nb = BernoulliNB()
nb.fit(X_transformed, y)
# Learn an ExtraTreesClassifier for comparison
trees = ExtraTreesClassifier(max_depth=3, n_estimators=10, random_state=0)
trees.fit(X, y)
# scatter plot of original and reduced data
fig = plt.figure(figsize=(9, 8))
ax = plt.subplot(221)
ax.scatter(X[:, 0], X[:, 1], c=y, s=50, edgecolor='k')
ax.set_title("Original Data (2d)")
ax.set_xticks(())
ax.set_yticks(())
ax = plt.subplot(222)
ax.scatter(X_reduced[:, 0], X_reduced[:, 1], c=y, s=50, edgecolor='k')
ax.set_title("Truncated SVD reduction (2d) of transformed data (%dd)" %
X_transformed.shape[1])
ax.set_xticks(())
ax.set_yticks(())
# Plot the decision in original space. For that, we will assign a color
# to each point in the mesh [x_min, x_max]x[y_min, y_max].
h = .01
x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5
y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5
xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))
# transform grid using RandomTreesEmbedding
transformed_grid = hasher.transform(np.c_[xx.ravel(), yy.ravel()])
y_grid_pred = nb.predict_proba(transformed_grid)[:, 1]
ax = plt.subplot(223)
ax.set_title("Naive Bayes on Transformed data")
ax.pcolormesh(xx, yy, y_grid_pred.reshape(xx.shape))
ax.scatter(X[:, 0], X[:, 1], c=y, s=50, edgecolor='k')
ax.set_ylim(-1.4, 1.4)
ax.set_xlim(-1.4, 1.4)
ax.set_xticks(())
ax.set_yticks(())
# transform grid using ExtraTreesClassifier
y_grid_pred = trees.predict_proba(np.c_[xx.ravel(), yy.ravel()])[:, 1]
ax = plt.subplot(224)
ax.set_title("ExtraTrees predictions")
ax.pcolormesh(xx, yy, y_grid_pred.reshape(xx.shape))
ax.scatter(X[:, 0], X[:, 1], c=y, s=50, edgecolor='k')
ax.set_ylim(-1.4, 1.4)
ax.set_xlim(-1.4, 1.4)
ax.set_xticks(())
ax.set_yticks(())
plt.tight_layout()
plt.show()
| bsd-3-clause |
MohammedWasim/scikit-learn | sklearn/metrics/tests/test_score_objects.py | 138 | 14048 | import pickle
import numpy as np
from sklearn.utils.testing import assert_almost_equal
from sklearn.utils.testing import assert_array_equal
from sklearn.utils.testing import assert_raises
from sklearn.utils.testing import assert_raises_regexp
from sklearn.utils.testing import assert_true
from sklearn.utils.testing import ignore_warnings
from sklearn.utils.testing import assert_not_equal
from sklearn.base import BaseEstimator
from sklearn.metrics import (f1_score, r2_score, roc_auc_score, fbeta_score,
log_loss, precision_score, recall_score)
from sklearn.metrics.cluster import adjusted_rand_score
from sklearn.metrics.scorer import (check_scoring, _PredictScorer,
_passthrough_scorer)
from sklearn.metrics import make_scorer, get_scorer, SCORERS
from sklearn.svm import LinearSVC
from sklearn.pipeline import make_pipeline
from sklearn.cluster import KMeans
from sklearn.dummy import DummyRegressor
from sklearn.linear_model import Ridge, LogisticRegression
from sklearn.tree import DecisionTreeClassifier, DecisionTreeRegressor
from sklearn.datasets import make_blobs
from sklearn.datasets import make_classification
from sklearn.datasets import make_multilabel_classification
from sklearn.datasets import load_diabetes
from sklearn.cross_validation import train_test_split, cross_val_score
from sklearn.grid_search import GridSearchCV
from sklearn.multiclass import OneVsRestClassifier
REGRESSION_SCORERS = ['r2', 'mean_absolute_error', 'mean_squared_error',
'median_absolute_error']
CLF_SCORERS = ['accuracy', 'f1', 'f1_weighted', 'f1_macro', 'f1_micro',
'roc_auc', 'average_precision', 'precision',
'precision_weighted', 'precision_macro', 'precision_micro',
'recall', 'recall_weighted', 'recall_macro', 'recall_micro',
'log_loss',
'adjusted_rand_score' # not really, but works
]
MULTILABEL_ONLY_SCORERS = ['precision_samples', 'recall_samples', 'f1_samples']
class EstimatorWithoutFit(object):
"""Dummy estimator to test check_scoring"""
pass
class EstimatorWithFit(BaseEstimator):
"""Dummy estimator to test check_scoring"""
def fit(self, X, y):
return self
class EstimatorWithFitAndScore(object):
"""Dummy estimator to test check_scoring"""
def fit(self, X, y):
return self
def score(self, X, y):
return 1.0
class EstimatorWithFitAndPredict(object):
"""Dummy estimator to test check_scoring"""
def fit(self, X, y):
self.y = y
return self
def predict(self, X):
return self.y
class DummyScorer(object):
"""Dummy scorer that always returns 1."""
def __call__(self, est, X, y):
return 1
def test_check_scoring():
# Test all branches of check_scoring
estimator = EstimatorWithoutFit()
pattern = (r"estimator should a be an estimator implementing 'fit' method,"
r" .* was passed")
assert_raises_regexp(TypeError, pattern, check_scoring, estimator)
estimator = EstimatorWithFitAndScore()
estimator.fit([[1]], [1])
scorer = check_scoring(estimator)
assert_true(scorer is _passthrough_scorer)
assert_almost_equal(scorer(estimator, [[1]], [1]), 1.0)
estimator = EstimatorWithFitAndPredict()
estimator.fit([[1]], [1])
pattern = (r"If no scoring is specified, the estimator passed should have"
r" a 'score' method\. The estimator .* does not\.")
assert_raises_regexp(TypeError, pattern, check_scoring, estimator)
scorer = check_scoring(estimator, "accuracy")
assert_almost_equal(scorer(estimator, [[1]], [1]), 1.0)
estimator = EstimatorWithFit()
scorer = check_scoring(estimator, "accuracy")
assert_true(isinstance(scorer, _PredictScorer))
estimator = EstimatorWithFit()
scorer = check_scoring(estimator, allow_none=True)
assert_true(scorer is None)
def test_check_scoring_gridsearchcv():
# test that check_scoring works on GridSearchCV and pipeline.
# slightly redundant non-regression test.
grid = GridSearchCV(LinearSVC(), param_grid={'C': [.1, 1]})
scorer = check_scoring(grid, "f1")
assert_true(isinstance(scorer, _PredictScorer))
pipe = make_pipeline(LinearSVC())
scorer = check_scoring(pipe, "f1")
assert_true(isinstance(scorer, _PredictScorer))
# check that cross_val_score definitely calls the scorer
# and doesn't make any assumptions about the estimator apart from having a
# fit.
scores = cross_val_score(EstimatorWithFit(), [[1], [2], [3]], [1, 0, 1],
scoring=DummyScorer())
assert_array_equal(scores, 1)
def test_make_scorer():
# Sanity check on the make_scorer factory function.
f = lambda *args: 0
assert_raises(ValueError, make_scorer, f, needs_threshold=True,
needs_proba=True)
def test_classification_scores():
# Test classification scorers.
X, y = make_blobs(random_state=0, centers=2)
X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)
clf = LinearSVC(random_state=0)
clf.fit(X_train, y_train)
for prefix, metric in [('f1', f1_score), ('precision', precision_score),
('recall', recall_score)]:
score1 = get_scorer('%s_weighted' % prefix)(clf, X_test, y_test)
score2 = metric(y_test, clf.predict(X_test), pos_label=None,
average='weighted')
assert_almost_equal(score1, score2)
score1 = get_scorer('%s_macro' % prefix)(clf, X_test, y_test)
score2 = metric(y_test, clf.predict(X_test), pos_label=None,
average='macro')
assert_almost_equal(score1, score2)
score1 = get_scorer('%s_micro' % prefix)(clf, X_test, y_test)
score2 = metric(y_test, clf.predict(X_test), pos_label=None,
average='micro')
assert_almost_equal(score1, score2)
score1 = get_scorer('%s' % prefix)(clf, X_test, y_test)
score2 = metric(y_test, clf.predict(X_test), pos_label=1)
assert_almost_equal(score1, score2)
# test fbeta score that takes an argument
scorer = make_scorer(fbeta_score, beta=2)
score1 = scorer(clf, X_test, y_test)
score2 = fbeta_score(y_test, clf.predict(X_test), beta=2)
assert_almost_equal(score1, score2)
# test that custom scorer can be pickled
unpickled_scorer = pickle.loads(pickle.dumps(scorer))
score3 = unpickled_scorer(clf, X_test, y_test)
assert_almost_equal(score1, score3)
# smoke test the repr:
repr(fbeta_score)
def test_regression_scorers():
# Test regression scorers.
diabetes = load_diabetes()
X, y = diabetes.data, diabetes.target
X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)
clf = Ridge()
clf.fit(X_train, y_train)
score1 = get_scorer('r2')(clf, X_test, y_test)
score2 = r2_score(y_test, clf.predict(X_test))
assert_almost_equal(score1, score2)
def test_thresholded_scorers():
# Test scorers that take thresholds.
X, y = make_blobs(random_state=0, centers=2)
X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)
clf = LogisticRegression(random_state=0)
clf.fit(X_train, y_train)
score1 = get_scorer('roc_auc')(clf, X_test, y_test)
score2 = roc_auc_score(y_test, clf.decision_function(X_test))
score3 = roc_auc_score(y_test, clf.predict_proba(X_test)[:, 1])
assert_almost_equal(score1, score2)
assert_almost_equal(score1, score3)
logscore = get_scorer('log_loss')(clf, X_test, y_test)
logloss = log_loss(y_test, clf.predict_proba(X_test))
assert_almost_equal(-logscore, logloss)
# same for an estimator without decision_function
clf = DecisionTreeClassifier()
clf.fit(X_train, y_train)
score1 = get_scorer('roc_auc')(clf, X_test, y_test)
score2 = roc_auc_score(y_test, clf.predict_proba(X_test)[:, 1])
assert_almost_equal(score1, score2)
# test with a regressor (no decision_function)
reg = DecisionTreeRegressor()
reg.fit(X_train, y_train)
score1 = get_scorer('roc_auc')(reg, X_test, y_test)
score2 = roc_auc_score(y_test, reg.predict(X_test))
assert_almost_equal(score1, score2)
# Test that an exception is raised on more than two classes
X, y = make_blobs(random_state=0, centers=3)
X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)
clf.fit(X_train, y_train)
assert_raises(ValueError, get_scorer('roc_auc'), clf, X_test, y_test)
def test_thresholded_scorers_multilabel_indicator_data():
# Test that the scorer work with multilabel-indicator format
# for multilabel and multi-output multi-class classifier
X, y = make_multilabel_classification(allow_unlabeled=False,
random_state=0)
X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)
# Multi-output multi-class predict_proba
clf = DecisionTreeClassifier()
clf.fit(X_train, y_train)
y_proba = clf.predict_proba(X_test)
score1 = get_scorer('roc_auc')(clf, X_test, y_test)
score2 = roc_auc_score(y_test, np.vstack(p[:, -1] for p in y_proba).T)
assert_almost_equal(score1, score2)
# Multi-output multi-class decision_function
# TODO Is there any yet?
clf = DecisionTreeClassifier()
clf.fit(X_train, y_train)
clf._predict_proba = clf.predict_proba
clf.predict_proba = None
clf.decision_function = lambda X: [p[:, 1] for p in clf._predict_proba(X)]
y_proba = clf.decision_function(X_test)
score1 = get_scorer('roc_auc')(clf, X_test, y_test)
score2 = roc_auc_score(y_test, np.vstack(p for p in y_proba).T)
assert_almost_equal(score1, score2)
# Multilabel predict_proba
clf = OneVsRestClassifier(DecisionTreeClassifier())
clf.fit(X_train, y_train)
score1 = get_scorer('roc_auc')(clf, X_test, y_test)
score2 = roc_auc_score(y_test, clf.predict_proba(X_test))
assert_almost_equal(score1, score2)
# Multilabel decision function
clf = OneVsRestClassifier(LinearSVC(random_state=0))
clf.fit(X_train, y_train)
score1 = get_scorer('roc_auc')(clf, X_test, y_test)
score2 = roc_auc_score(y_test, clf.decision_function(X_test))
assert_almost_equal(score1, score2)
def test_unsupervised_scorers():
# Test clustering scorers against gold standard labeling.
# We don't have any real unsupervised Scorers yet.
X, y = make_blobs(random_state=0, centers=2)
X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)
km = KMeans(n_clusters=3)
km.fit(X_train)
score1 = get_scorer('adjusted_rand_score')(km, X_test, y_test)
score2 = adjusted_rand_score(y_test, km.predict(X_test))
assert_almost_equal(score1, score2)
@ignore_warnings
def test_raises_on_score_list():
# Test that when a list of scores is returned, we raise proper errors.
X, y = make_blobs(random_state=0)
f1_scorer_no_average = make_scorer(f1_score, average=None)
clf = DecisionTreeClassifier()
assert_raises(ValueError, cross_val_score, clf, X, y,
scoring=f1_scorer_no_average)
grid_search = GridSearchCV(clf, scoring=f1_scorer_no_average,
param_grid={'max_depth': [1, 2]})
assert_raises(ValueError, grid_search.fit, X, y)
@ignore_warnings
def test_scorer_sample_weight():
# Test that scorers support sample_weight or raise sensible errors
# Unlike the metrics invariance test, in the scorer case it's harder
# to ensure that, on the classifier output, weighted and unweighted
# scores really should be unequal.
X, y = make_classification(random_state=0)
_, y_ml = make_multilabel_classification(n_samples=X.shape[0],
random_state=0)
split = train_test_split(X, y, y_ml, random_state=0)
X_train, X_test, y_train, y_test, y_ml_train, y_ml_test = split
sample_weight = np.ones_like(y_test)
sample_weight[:10] = 0
# get sensible estimators for each metric
sensible_regr = DummyRegressor(strategy='median')
sensible_regr.fit(X_train, y_train)
sensible_clf = DecisionTreeClassifier(random_state=0)
sensible_clf.fit(X_train, y_train)
sensible_ml_clf = DecisionTreeClassifier(random_state=0)
sensible_ml_clf.fit(X_train, y_ml_train)
estimator = dict([(name, sensible_regr)
for name in REGRESSION_SCORERS] +
[(name, sensible_clf)
for name in CLF_SCORERS] +
[(name, sensible_ml_clf)
for name in MULTILABEL_ONLY_SCORERS])
for name, scorer in SCORERS.items():
if name in MULTILABEL_ONLY_SCORERS:
target = y_ml_test
else:
target = y_test
try:
weighted = scorer(estimator[name], X_test, target,
sample_weight=sample_weight)
ignored = scorer(estimator[name], X_test[10:], target[10:])
unweighted = scorer(estimator[name], X_test, target)
assert_not_equal(weighted, unweighted,
msg="scorer {0} behaves identically when "
"called with sample weights: {1} vs "
"{2}".format(name, weighted, unweighted))
assert_almost_equal(weighted, ignored,
err_msg="scorer {0} behaves differently when "
"ignoring samples and setting sample_weight to"
" 0: {1} vs {2}".format(name, weighted,
ignored))
except TypeError as e:
assert_true("sample_weight" in str(e),
"scorer {0} raises unhelpful exception when called "
"with sample weights: {1}".format(name, str(e)))
| bsd-3-clause |
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