444 lines
14 KiB
Python
444 lines
14 KiB
Python
# Sebastian Raschka, 2015 (http://sebastianraschka.com)
|
|
# Python Machine Learning - Code Examples
|
|
#
|
|
# Chapter 6 - Learning Best Practices for Model Evaluation
|
|
# and Hyperparameter Tuning
|
|
#
|
|
# S. Raschka. Python Machine Learning. Packt Publishing Ltd., 2015.
|
|
# GitHub Repo: https://github.com/rasbt/python-machine-learning-book
|
|
#
|
|
# License: MIT
|
|
# https://github.com/rasbt/python-machine-learning-book/blob/master/LICENSE.txt
|
|
|
|
|
|
import numpy as np
|
|
import pandas as pd
|
|
import matplotlib.pyplot as plt
|
|
from sklearn.preprocessing import LabelEncoder
|
|
from sklearn.preprocessing import StandardScaler
|
|
from sklearn.decomposition import PCA
|
|
from sklearn.linear_model import LogisticRegression
|
|
from sklearn.pipeline import Pipeline
|
|
from sklearn.tree import DecisionTreeClassifier
|
|
from sklearn.svm import SVC
|
|
from sklearn.metrics import confusion_matrix
|
|
from sklearn.metrics import f1_score
|
|
from sklearn.metrics import recall_score
|
|
from sklearn.metrics import precision_score
|
|
from sklearn.metrics import make_scorer
|
|
from sklearn.metrics import roc_curve
|
|
from sklearn.metrics import auc
|
|
from sklearn.metrics import roc_auc_score
|
|
from sklearn.metrics import accuracy_score
|
|
from scipy import interp
|
|
|
|
# for sklearn 0.18's alternative syntax
|
|
from distutils.version import LooseVersion as Version
|
|
from sklearn import __version__ as sklearn_version
|
|
if Version(sklearn_version) < '0.18':
|
|
from sklearn.grid_search import train_test_split
|
|
from sklearn.cross_validation import StratifiedKFold
|
|
from sklearn.cross_validation import cross_val_score
|
|
from sklearn.learning_curve import learning_curve
|
|
from sklearn.learning_curve import validation_curve
|
|
from sklearn.grid_search import GridSearchCV
|
|
else:
|
|
from sklearn.model_selection import train_test_split
|
|
from sklearn.model_selection import StratifiedKFold
|
|
from sklearn.model_selection import cross_val_score
|
|
from sklearn.model_selection import learning_curve
|
|
from sklearn.model_selection import validation_curve
|
|
from sklearn.model_selection import GridSearchCV
|
|
|
|
#############################################################################
|
|
print(50 * '=')
|
|
print('Section: Loading the Breast Cancer Wisconsin dataset')
|
|
print(50 * '-')
|
|
|
|
df = pd.read_csv('https://archive.ics.uci.edu/ml/machine-learning-databases'
|
|
'/breast-cancer-wisconsin/wdbc.data', header=None)
|
|
print('Breast Cancer dataset excerpt:\n\n')
|
|
print(df.head())
|
|
|
|
print('Breast Cancer dataset dimensions:\n\n')
|
|
print(df.shape)
|
|
|
|
X = df.loc[:, 2:].values
|
|
y = df.loc[:, 1].values
|
|
le = LabelEncoder()
|
|
y = le.fit_transform(y)
|
|
y_enc = le.transform(['M', 'B'])
|
|
print("Label encoding example, le.transform(['M', 'B'])")
|
|
print(le.transform(['M', 'B']))
|
|
|
|
X_train, X_test, y_train, y_test = \
|
|
train_test_split(X, y, test_size=0.20, random_state=1)
|
|
|
|
|
|
#############################################################################
|
|
print(50 * '=')
|
|
print('Section: Combining transformers and estimators in a pipeline')
|
|
print(50 * '-')
|
|
|
|
|
|
pipe_lr = Pipeline([('scl', StandardScaler()),
|
|
('pca', PCA(n_components=2)),
|
|
('clf', LogisticRegression(random_state=1))])
|
|
|
|
pipe_lr.fit(X_train, y_train)
|
|
print('Test Accuracy: %.3f' % pipe_lr.score(X_test, y_test))
|
|
y_pred = pipe_lr.predict(X_test)
|
|
|
|
|
|
#############################################################################
|
|
print(50 * '=')
|
|
print('Section: K-fold cross-validation')
|
|
print(50 * '-')
|
|
|
|
if Version(sklearn_version) < '0.18':
|
|
kfold = StratifiedKFold(y=y_train,
|
|
n_folds=10,
|
|
random_state=1)
|
|
else:
|
|
kfold = StratifiedKFold(n_splits=10,
|
|
random_state=1).split(X_train, y_train)
|
|
|
|
scores = []
|
|
for k, (train, test) in enumerate(kfold):
|
|
pipe_lr.fit(X_train[train], y_train[train])
|
|
score = pipe_lr.score(X_train[test], y_train[test])
|
|
scores.append(score)
|
|
print('Fold: %s, Class dist.: %s, Acc: %.3f' % (k + 1,
|
|
np.bincount(y_train[train]), score))
|
|
|
|
print('\nCV accuracy: %.3f +/- %.3f' % (np.mean(scores), np.std(scores)))
|
|
|
|
print('Using StratifiedKFold')
|
|
if Version(sklearn_version) < '0.18':
|
|
kfold = StratifiedKFold(y=y_train,
|
|
n_folds=10,
|
|
random_state=1)
|
|
else:
|
|
kfold = StratifiedKFold(n_splits=10,
|
|
random_state=1).split(X_train, y_train)
|
|
|
|
scores = []
|
|
for k, (train, test) in enumerate(kfold):
|
|
pipe_lr.fit(X_train[train], y_train[train])
|
|
score = pipe_lr.score(X_train[test], y_train[test])
|
|
scores.append(score)
|
|
print('Fold: %s, Class dist.: %s, Acc: %.3f' % (k + 1,
|
|
np.bincount(y_train[train]), score))
|
|
|
|
print('\nCV accuracy: %.3f +/- %.3f' % (np.mean(scores), np.std(scores)))
|
|
|
|
|
|
print('Using cross_val_score')
|
|
scores = cross_val_score(estimator=pipe_lr,
|
|
X=X_train,
|
|
y=y_train,
|
|
cv=10,
|
|
n_jobs=1)
|
|
|
|
print('CV accuracy scores: %s' % scores)
|
|
print('CV accuracy: %.3f +/- %.3f' % (np.mean(scores), np.std(scores)))
|
|
|
|
|
|
#############################################################################
|
|
print(50 * '=')
|
|
print('Section: Diagnosing bias and variance problems with learning curves')
|
|
print(50 * '-')
|
|
|
|
|
|
pipe_lr = Pipeline([('scl', StandardScaler()),
|
|
('clf', LogisticRegression(penalty='l2', random_state=0))])
|
|
|
|
train_sizes, train_scores, test_scores =\
|
|
learning_curve(estimator=pipe_lr,
|
|
X=X_train,
|
|
y=y_train,
|
|
train_sizes=np.linspace(0.1, 1.0, 10),
|
|
cv=10,
|
|
n_jobs=1)
|
|
|
|
train_mean = np.mean(train_scores, axis=1)
|
|
train_std = np.std(train_scores, axis=1)
|
|
test_mean = np.mean(test_scores, axis=1)
|
|
test_std = np.std(test_scores, axis=1)
|
|
|
|
plt.plot(train_sizes, train_mean,
|
|
color='blue', marker='o',
|
|
markersize=5, label='training accuracy')
|
|
|
|
plt.fill_between(train_sizes,
|
|
train_mean + train_std,
|
|
train_mean - train_std,
|
|
alpha=0.15, color='blue')
|
|
|
|
plt.plot(train_sizes, test_mean,
|
|
color='green', linestyle='--',
|
|
marker='s', markersize=5,
|
|
label='validation accuracy')
|
|
|
|
plt.fill_between(train_sizes,
|
|
test_mean + test_std,
|
|
test_mean - test_std,
|
|
alpha=0.15, color='green')
|
|
|
|
plt.grid()
|
|
plt.xlabel('Number of training samples')
|
|
plt.ylabel('Accuracy')
|
|
plt.legend(loc='lower right')
|
|
plt.ylim([0.8, 1.0])
|
|
# plt.tight_layout()
|
|
# plt.savefig('./figures/learning_curve.png', dpi=300)
|
|
plt.show()
|
|
|
|
|
|
#############################################################################
|
|
print(50 * '=')
|
|
print('Section: Addressing over- and underfitting with validation curves')
|
|
print(50 * '-')
|
|
|
|
param_range = [0.001, 0.01, 0.1, 1.0, 10.0, 100.0]
|
|
train_scores, test_scores = validation_curve(
|
|
estimator=pipe_lr,
|
|
X=X_train,
|
|
y=y_train,
|
|
param_name='clf__C',
|
|
param_range=param_range,
|
|
cv=10)
|
|
|
|
train_mean = np.mean(train_scores, axis=1)
|
|
train_std = np.std(train_scores, axis=1)
|
|
test_mean = np.mean(test_scores, axis=1)
|
|
test_std = np.std(test_scores, axis=1)
|
|
|
|
plt.plot(param_range, train_mean,
|
|
color='blue', marker='o',
|
|
markersize=5, label='training accuracy')
|
|
|
|
plt.fill_between(param_range, train_mean + train_std,
|
|
train_mean - train_std, alpha=0.15,
|
|
color='blue')
|
|
|
|
plt.plot(param_range, test_mean,
|
|
color='green', linestyle='--',
|
|
marker='s', markersize=5,
|
|
label='validation accuracy')
|
|
|
|
plt.fill_between(param_range,
|
|
test_mean + test_std,
|
|
test_mean - test_std,
|
|
alpha=0.15, color='green')
|
|
|
|
plt.grid()
|
|
plt.xscale('log')
|
|
plt.legend(loc='lower right')
|
|
plt.xlabel('Parameter C')
|
|
plt.ylabel('Accuracy')
|
|
plt.ylim([0.8, 1.0])
|
|
# plt.tight_layout()
|
|
# plt.savefig('./figures/validation_curve.png', dpi=300)
|
|
plt.show()
|
|
|
|
|
|
#############################################################################
|
|
print(50 * '=')
|
|
print('Section: Tuning hyperparameters via grid search')
|
|
print(50 * '-')
|
|
|
|
|
|
pipe_svc = Pipeline([('scl', StandardScaler()),
|
|
('clf', SVC(random_state=1))])
|
|
|
|
param_range = [0.0001, 0.001, 0.01, 0.1, 1.0, 10.0, 100.0, 1000.0]
|
|
|
|
param_grid = [{'clf__C': param_range,
|
|
'clf__kernel': ['linear']},
|
|
{'clf__C': param_range,
|
|
'clf__gamma': param_range,
|
|
'clf__kernel': ['rbf']}]
|
|
|
|
gs = GridSearchCV(estimator=pipe_svc,
|
|
param_grid=param_grid,
|
|
scoring='accuracy',
|
|
cv=10,
|
|
n_jobs=-1)
|
|
gs = gs.fit(X_train, y_train)
|
|
print('Validation accuracy', gs.best_score_)
|
|
print('Best parameters', gs.best_params_)
|
|
|
|
clf = gs.best_estimator_
|
|
clf.fit(X_train, y_train)
|
|
print('Test accuracy: %.3f' % clf.score(X_test, y_test))
|
|
|
|
|
|
#############################################################################
|
|
print(50 * '=')
|
|
print('Section: Algorithm selection with nested cross-validation')
|
|
print(50 * '-')
|
|
|
|
gs = GridSearchCV(estimator=pipe_svc,
|
|
param_grid=param_grid,
|
|
scoring='accuracy',
|
|
cv=2)
|
|
|
|
# Note: Optionally, you could use cv=2
|
|
# in the GridSearchCV above to produce
|
|
# the 5 x 2 nested CV that is shown in the figure.
|
|
|
|
scores = cross_val_score(gs, X_train, y_train, scoring='accuracy', cv=5)
|
|
print('CV accuracy: %.3f +/- %.3f' % (np.mean(scores), np.std(scores)))
|
|
|
|
gs = GridSearchCV(estimator=DecisionTreeClassifier(random_state=0),
|
|
param_grid=[{'max_depth': [1, 2, 3, 4, 5, 6, 7, None]}],
|
|
scoring='accuracy',
|
|
cv=2)
|
|
scores = cross_val_score(gs, X_train, y_train, scoring='accuracy', cv=5)
|
|
print('CV accuracy: %.3f +/- %.3f' % (np.mean(scores), np.std(scores)))
|
|
|
|
|
|
#############################################################################
|
|
print(50 * '=')
|
|
print('Section: Reading a confusion matrix')
|
|
print(50 * '-')
|
|
|
|
pipe_svc.fit(X_train, y_train)
|
|
y_pred = pipe_svc.predict(X_test)
|
|
confmat = confusion_matrix(y_true=y_test, y_pred=y_pred)
|
|
print('Confusion matrix', confmat)
|
|
|
|
fig, ax = plt.subplots(figsize=(2.5, 2.5))
|
|
ax.matshow(confmat, cmap=plt.cm.Blues, alpha=0.3)
|
|
for i in range(confmat.shape[0]):
|
|
for j in range(confmat.shape[1]):
|
|
ax.text(x=j, y=i, s=confmat[i, j], va='center', ha='center')
|
|
|
|
plt.xlabel('predicted label')
|
|
plt.ylabel('true label')
|
|
|
|
# plt.tight_layout()
|
|
# plt.savefig('./figures/confusion_matrix.png', dpi=300)
|
|
plt.show()
|
|
|
|
|
|
#############################################################################
|
|
print(50 * '=')
|
|
print('Section: Optimizing the precision and recall of a classification model')
|
|
print(50 * '-')
|
|
|
|
print('Precision: %.3f' % precision_score(y_true=y_test, y_pred=y_pred))
|
|
print('Recall: %.3f' % recall_score(y_true=y_test, y_pred=y_pred))
|
|
print('F1: %.3f' % f1_score(y_true=y_test, y_pred=y_pred))
|
|
|
|
scorer = make_scorer(f1_score, pos_label=0)
|
|
|
|
c_gamma_range = [0.01, 0.1, 1.0, 10.0]
|
|
|
|
param_grid = [{'clf__C': c_gamma_range,
|
|
'clf__kernel': ['linear']},
|
|
{'clf__C': c_gamma_range,
|
|
'clf__gamma': c_gamma_range,
|
|
'clf__kernel': ['rbf']}]
|
|
|
|
gs = GridSearchCV(estimator=pipe_svc,
|
|
param_grid=param_grid,
|
|
scoring=scorer,
|
|
cv=10,
|
|
n_jobs=-1)
|
|
gs = gs.fit(X_train, y_train)
|
|
print(gs.best_score_)
|
|
print(gs.best_params_)
|
|
|
|
|
|
#############################################################################
|
|
print(50 * '=')
|
|
print('Section: Plotting a receiver operating characteristic')
|
|
print(50 * '-')
|
|
|
|
pipe_lr = Pipeline([('scl', StandardScaler()),
|
|
('pca', PCA(n_components=2)),
|
|
('clf', LogisticRegression(penalty='l2',
|
|
random_state=0,
|
|
C=100.0))])
|
|
|
|
X_train2 = X_train[:, [4, 14]]
|
|
|
|
if Version(sklearn_version) < '0.18':
|
|
cv = StratifiedKFold(y_train,
|
|
n_folds=3,
|
|
random_state=1)
|
|
|
|
else:
|
|
cv = list(StratifiedKFold(n_splits=3,
|
|
random_state=1).split(X_train, y_train))
|
|
|
|
fig = plt.figure(figsize=(7, 5))
|
|
|
|
mean_tpr = 0.0
|
|
mean_fpr = np.linspace(0, 1, 100)
|
|
all_tpr = []
|
|
|
|
for i, (train, test) in enumerate(cv):
|
|
probas = pipe_lr.fit(X_train2[train],
|
|
y_train[train]).predict_proba(X_train2[test])
|
|
|
|
fpr, tpr, thresholds = roc_curve(y_train[test],
|
|
probas[:, 1],
|
|
pos_label=1)
|
|
mean_tpr += interp(mean_fpr, fpr, tpr)
|
|
mean_tpr[0] = 0.0
|
|
roc_auc = auc(fpr, tpr)
|
|
plt.plot(fpr,
|
|
tpr,
|
|
lw=1,
|
|
label='ROC fold %d (area = %0.2f)'
|
|
% (i + 1, roc_auc))
|
|
|
|
plt.plot([0, 1],
|
|
[0, 1],
|
|
linestyle='--',
|
|
color=(0.6, 0.6, 0.6),
|
|
label='random guessing')
|
|
|
|
mean_tpr /= len(cv)
|
|
mean_tpr[-1] = 1.0
|
|
mean_auc = auc(mean_fpr, mean_tpr)
|
|
plt.plot(mean_fpr, mean_tpr, 'k--',
|
|
label='mean ROC (area = %0.2f)' % mean_auc, lw=2)
|
|
plt.plot([0, 0, 1],
|
|
[0, 1, 1],
|
|
lw=2,
|
|
linestyle=':',
|
|
color='black',
|
|
label='perfect performance')
|
|
|
|
plt.xlim([-0.05, 1.05])
|
|
plt.ylim([-0.05, 1.05])
|
|
plt.xlabel('false positive rate')
|
|
plt.ylabel('true positive rate')
|
|
plt.title('Receiver Operator Characteristic')
|
|
plt.legend(loc="lower right")
|
|
|
|
# plt.tight_layout()
|
|
# plt.savefig('./figures/roc.png', dpi=300)
|
|
plt.show()
|
|
|
|
pipe_lr = pipe_lr.fit(X_train2, y_train)
|
|
y_pred2 = pipe_lr.predict(X_test[:, [4, 14]])
|
|
|
|
print('ROC AUC: %.3f' % roc_auc_score(y_true=y_test, y_score=y_pred2))
|
|
print('Accuracy: %.3f' % accuracy_score(y_true=y_test, y_pred=y_pred2))
|
|
|
|
|
|
#############################################################################
|
|
print(50 * '=')
|
|
print('Section: The scoring metrics for multiclass classification')
|
|
print(50 * '-')
|
|
|
|
pre_scorer = make_scorer(score_func=precision_score,
|
|
pos_label=1,
|
|
greater_is_better=True,
|
|
average='micro')
|