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# Authors: Alexandre Gramfort <alexandre.gramfort@telecom-paristech.fr>
# License: BSD 3 clause
from __future__ import division
import pytest
import numpy as np
from scipy import sparse
from sklearn.model_selection import LeaveOneOut
from sklearn.utils.testing import (assert_array_almost_equal, assert_equal,
assert_greater, assert_almost_equal,
assert_greater_equal,
assert_array_equal,
assert_raises,
ignore_warnings)
from sklearn.datasets import make_classification, make_blobs
from sklearn.naive_bayes import MultinomialNB
from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor
from sklearn.svm import LinearSVC
from sklearn.pipeline import Pipeline
from sklearn.impute import SimpleImputer
from sklearn.metrics import brier_score_loss, log_loss
from sklearn.calibration import CalibratedClassifierCV
from sklearn.calibration import _sigmoid_calibration, _SigmoidCalibration
from sklearn.calibration import calibration_curve
@pytest.mark.filterwarnings('ignore:The default value of n_estimators')
@pytest.mark.filterwarnings('ignore: You should specify a value') # 0.22
def test_calibration():
"""Test calibration objects with isotonic and sigmoid"""
n_samples = 100
X, y = make_classification(n_samples=2 * n_samples, n_features=6,
random_state=42)
sample_weight = np.random.RandomState(seed=42).uniform(size=y.size)
X -= X.min() # MultinomialNB only allows positive X
# split train and test
X_train, y_train, sw_train = \
X[:n_samples], y[:n_samples], sample_weight[:n_samples]
X_test, y_test = X[n_samples:], y[n_samples:]
# Naive-Bayes
clf = MultinomialNB().fit(X_train, y_train, sample_weight=sw_train)
prob_pos_clf = clf.predict_proba(X_test)[:, 1]
pc_clf = CalibratedClassifierCV(clf, cv=y.size + 1)
assert_raises(ValueError, pc_clf.fit, X, y)
# Naive Bayes with calibration
for this_X_train, this_X_test in [(X_train, X_test),
(sparse.csr_matrix(X_train),
sparse.csr_matrix(X_test))]:
for method in ['isotonic', 'sigmoid']:
pc_clf = CalibratedClassifierCV(clf, method=method, cv=2)
# Note that this fit overwrites the fit on the entire training
# set
pc_clf.fit(this_X_train, y_train, sample_weight=sw_train)
prob_pos_pc_clf = pc_clf.predict_proba(this_X_test)[:, 1]
# Check that brier score has improved after calibration
assert_greater(brier_score_loss(y_test, prob_pos_clf),
brier_score_loss(y_test, prob_pos_pc_clf))
# Check invariance against relabeling [0, 1] -> [1, 2]
pc_clf.fit(this_X_train, y_train + 1, sample_weight=sw_train)
prob_pos_pc_clf_relabeled = pc_clf.predict_proba(this_X_test)[:, 1]
assert_array_almost_equal(prob_pos_pc_clf,
prob_pos_pc_clf_relabeled)
# Check invariance against relabeling [0, 1] -> [-1, 1]
pc_clf.fit(this_X_train, 2 * y_train - 1, sample_weight=sw_train)
prob_pos_pc_clf_relabeled = pc_clf.predict_proba(this_X_test)[:, 1]
assert_array_almost_equal(prob_pos_pc_clf,
prob_pos_pc_clf_relabeled)
# Check invariance against relabeling [0, 1] -> [1, 0]
pc_clf.fit(this_X_train, (y_train + 1) % 2,
sample_weight=sw_train)
prob_pos_pc_clf_relabeled = \
pc_clf.predict_proba(this_X_test)[:, 1]
if method == "sigmoid":
assert_array_almost_equal(prob_pos_pc_clf,
1 - prob_pos_pc_clf_relabeled)
else:
# Isotonic calibration is not invariant against relabeling
# but should improve in both cases
assert_greater(brier_score_loss(y_test, prob_pos_clf),
brier_score_loss((y_test + 1) % 2,
prob_pos_pc_clf_relabeled))
# Check failure cases:
# only "isotonic" and "sigmoid" should be accepted as methods
clf_invalid_method = CalibratedClassifierCV(clf, method="foo")
assert_raises(ValueError, clf_invalid_method.fit, X_train, y_train)
# base-estimators should provide either decision_function or
# predict_proba (most regressors, for instance, should fail)
clf_base_regressor = \
CalibratedClassifierCV(RandomForestRegressor(), method="sigmoid")
assert_raises(RuntimeError, clf_base_regressor.fit, X_train, y_train)
@pytest.mark.filterwarnings('ignore: You should specify a value') # 0.22
def test_sample_weight():
n_samples = 100
X, y = make_classification(n_samples=2 * n_samples, n_features=6,
random_state=42)
sample_weight = np.random.RandomState(seed=42).uniform(size=len(y))
X_train, y_train, sw_train = \
X[:n_samples], y[:n_samples], sample_weight[:n_samples]
X_test = X[n_samples:]
for method in ['sigmoid', 'isotonic']:
base_estimator = LinearSVC(random_state=42)
calibrated_clf = CalibratedClassifierCV(base_estimator, method=method)
calibrated_clf.fit(X_train, y_train, sample_weight=sw_train)
probs_with_sw = calibrated_clf.predict_proba(X_test)
# As the weights are used for the calibration, they should still yield
# a different predictions
calibrated_clf.fit(X_train, y_train)
probs_without_sw = calibrated_clf.predict_proba(X_test)
diff = np.linalg.norm(probs_with_sw - probs_without_sw)
assert_greater(diff, 0.1)
def test_calibration_multiclass():
"""Test calibration for multiclass """
# test multi-class setting with classifier that implements
# only decision function
clf = LinearSVC()
X, y_idx = make_blobs(n_samples=100, n_features=2, random_state=42,
centers=3, cluster_std=3.0)
# Use categorical labels to check that CalibratedClassifierCV supports
# them correctly
target_names = np.array(['a', 'b', 'c'])
y = target_names[y_idx]
X_train, y_train = X[::2], y[::2]
X_test, y_test = X[1::2], y[1::2]
clf.fit(X_train, y_train)
for method in ['isotonic', 'sigmoid']:
cal_clf = CalibratedClassifierCV(clf, method=method, cv=2)
cal_clf.fit(X_train, y_train)
probas = cal_clf.predict_proba(X_test)
assert_array_almost_equal(np.sum(probas, axis=1), np.ones(len(X_test)))
# Check that log-loss of calibrated classifier is smaller than
# log-loss of naively turned OvR decision function to probabilities
# via softmax
def softmax(y_pred):
e = np.exp(-y_pred)
return e / e.sum(axis=1).reshape(-1, 1)
uncalibrated_log_loss = \
log_loss(y_test, softmax(clf.decision_function(X_test)))
calibrated_log_loss = log_loss(y_test, probas)
assert_greater_equal(uncalibrated_log_loss, calibrated_log_loss)
# Test that calibration of a multiclass classifier decreases log-loss
# for RandomForestClassifier
X, y = make_blobs(n_samples=100, n_features=2, random_state=42,
cluster_std=3.0)
X_train, y_train = X[::2], y[::2]
X_test, y_test = X[1::2], y[1::2]
clf = RandomForestClassifier(n_estimators=10, random_state=42)
clf.fit(X_train, y_train)
clf_probs = clf.predict_proba(X_test)
loss = log_loss(y_test, clf_probs)
for method in ['isotonic', 'sigmoid']:
cal_clf = CalibratedClassifierCV(clf, method=method, cv=3)
cal_clf.fit(X_train, y_train)
cal_clf_probs = cal_clf.predict_proba(X_test)
cal_loss = log_loss(y_test, cal_clf_probs)
assert_greater(loss, cal_loss)
def test_calibration_prefit():
"""Test calibration for prefitted classifiers"""
n_samples = 50
X, y = make_classification(n_samples=3 * n_samples, n_features=6,
random_state=42)
sample_weight = np.random.RandomState(seed=42).uniform(size=y.size)
X -= X.min() # MultinomialNB only allows positive X
# split train and test
X_train, y_train, sw_train = \
X[:n_samples], y[:n_samples], sample_weight[:n_samples]
X_calib, y_calib, sw_calib = \
X[n_samples:2 * n_samples], y[n_samples:2 * n_samples], \
sample_weight[n_samples:2 * n_samples]
X_test, y_test = X[2 * n_samples:], y[2 * n_samples:]
# Naive-Bayes
clf = MultinomialNB()
clf.fit(X_train, y_train, sw_train)
prob_pos_clf = clf.predict_proba(X_test)[:, 1]
# Naive Bayes with calibration
for this_X_calib, this_X_test in [(X_calib, X_test),
(sparse.csr_matrix(X_calib),
sparse.csr_matrix(X_test))]:
for method in ['isotonic', 'sigmoid']:
pc_clf = CalibratedClassifierCV(clf, method=method, cv="prefit")
for sw in [sw_calib, None]:
pc_clf.fit(this_X_calib, y_calib, sample_weight=sw)
y_prob = pc_clf.predict_proba(this_X_test)
y_pred = pc_clf.predict(this_X_test)
prob_pos_pc_clf = y_prob[:, 1]
assert_array_equal(y_pred,
np.array([0, 1])[np.argmax(y_prob, axis=1)])
assert_greater(brier_score_loss(y_test, prob_pos_clf),
brier_score_loss(y_test, prob_pos_pc_clf))
def test_sigmoid_calibration():
"""Test calibration values with Platt sigmoid model"""
exF = np.array([5, -4, 1.0])
exY = np.array([1, -1, -1])
# computed from my python port of the C++ code in LibSVM
AB_lin_libsvm = np.array([-0.20261354391187855, 0.65236314980010512])
assert_array_almost_equal(AB_lin_libsvm,
_sigmoid_calibration(exF, exY), 3)
lin_prob = 1. / (1. + np.exp(AB_lin_libsvm[0] * exF + AB_lin_libsvm[1]))
sk_prob = _SigmoidCalibration().fit(exF, exY).predict(exF)
assert_array_almost_equal(lin_prob, sk_prob, 6)
# check that _SigmoidCalibration().fit only accepts 1d array or 2d column
# arrays
assert_raises(ValueError, _SigmoidCalibration().fit,
np.vstack((exF, exF)), exY)
def test_calibration_curve():
"""Check calibration_curve function"""
y_true = np.array([0, 0, 0, 1, 1, 1])
y_pred = np.array([0., 0.1, 0.2, 0.8, 0.9, 1.])
prob_true, prob_pred = calibration_curve(y_true, y_pred, n_bins=2)
prob_true_unnormalized, prob_pred_unnormalized = \
calibration_curve(y_true, y_pred * 2, n_bins=2, normalize=True)
assert_equal(len(prob_true), len(prob_pred))
assert_equal(len(prob_true), 2)
assert_almost_equal(prob_true, [0, 1])
assert_almost_equal(prob_pred, [0.1, 0.9])
assert_almost_equal(prob_true, prob_true_unnormalized)
assert_almost_equal(prob_pred, prob_pred_unnormalized)
# probabilities outside [0, 1] should not be accepted when normalize
# is set to False
assert_raises(ValueError, calibration_curve, [1.1], [-0.1],
normalize=False)
def test_calibration_nan_imputer():
"""Test that calibration can accept nan"""
X, y = make_classification(n_samples=10, n_features=2,
n_informative=2, n_redundant=0,
random_state=42)
X[0, 0] = np.nan
clf = Pipeline(
[('imputer', SimpleImputer()),
('rf', RandomForestClassifier(n_estimators=1))])
clf_c = CalibratedClassifierCV(clf, cv=2, method='isotonic')
clf_c.fit(X, y)
clf_c.predict(X)
def test_calibration_prob_sum():
# Test that sum of probabilities is 1. A non-regression test for
# issue #7796
num_classes = 2
X, y = make_classification(n_samples=10, n_features=5,
n_classes=num_classes)
clf = LinearSVC(C=1.0)
clf_prob = CalibratedClassifierCV(clf, method="sigmoid", cv=LeaveOneOut())
clf_prob.fit(X, y)
probs = clf_prob.predict_proba(X)
assert_array_almost_equal(probs.sum(axis=1), np.ones(probs.shape[0]))
def test_calibration_less_classes():
# Test to check calibration works fine when train set in a test-train
# split does not contain all classes
# Since this test uses LOO, at each iteration train set will not contain a
# class label
X = np.random.randn(10, 5)
y = np.arange(10)
clf = LinearSVC(C=1.0)
cal_clf = CalibratedClassifierCV(clf, method="sigmoid", cv=LeaveOneOut())
cal_clf.fit(X, y)
for i, calibrated_classifier in \
enumerate(cal_clf.calibrated_classifiers_):
proba = calibrated_classifier.predict_proba(X)
assert_array_equal(proba[:, i], np.zeros(len(y)))
assert_equal(np.all(np.hstack([proba[:, :i],
proba[:, i + 1:]])), True)
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