# Sebastian Raschka, 2015 (http://sebastianraschka.com) # Python Machine Learning - Code Examples # # Chapter 3 - A Tour of Machine Learning Classifiers Using Scikit-Learn # # 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 from sklearn import datasets from sklearn.preprocessing import StandardScaler from sklearn.metrics import accuracy_score from sklearn.linear_model import LogisticRegression from sklearn.linear_model import Perceptron from sklearn.svm import SVC from sklearn.tree import DecisionTreeClassifier from sklearn.ensemble import RandomForestClassifier from sklearn.neighbors import KNeighborsClassifier # from sklearn.tree import export_graphviz from matplotlib.colors import ListedColormap import matplotlib.pyplot as plt import warnings # 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 else: from sklearn.model_selection import train_test_split ############################################################################# print(50 * '=') print('Section: First steps with scikit-learn') print(50 * '-') iris = datasets.load_iris() X = iris.data[:, [2, 3]] y = iris.target print('Class labels:', np.unique(y)) X_train, X_test, y_train, y_test = train_test_split( X, y, test_size=0.3, random_state=0) sc = StandardScaler() sc.fit(X_train) X_train_std = sc.transform(X_train) X_test_std = sc.transform(X_test) ############################################################################# print(50 * '=') print('Section: Training a perceptron via scikit-learn') print(50 * '-') ppn = Perceptron(n_iter=40, eta0=0.1, random_state=0) ppn.fit(X_train_std, y_train) print('Y array shape', y_test.shape) y_pred = ppn.predict(X_test_std) print('Misclassified samples: %d' % (y_test != y_pred).sum()) print('Accuracy: %.2f' % accuracy_score(y_test, y_pred)) def versiontuple(v): return tuple(map(int, (v.split(".")))) def plot_decision_regions(X, y, classifier, test_idx=None, resolution=0.02): # setup marker generator and color map markers = ('s', 'x', 'o', '^', 'v') colors = ('red', 'blue', 'lightgreen', 'gray', 'cyan') cmap = ListedColormap(colors[:len(np.unique(y))]) # plot the decision surface x1_min, x1_max = X[:, 0].min() - 1, X[:, 0].max() + 1 x2_min, x2_max = X[:, 1].min() - 1, X[:, 1].max() + 1 xx1, xx2 = np.meshgrid(np.arange(x1_min, x1_max, resolution), np.arange(x2_min, x2_max, resolution)) Z = classifier.predict(np.array([xx1.ravel(), xx2.ravel()]).T) Z = Z.reshape(xx1.shape) plt.contourf(xx1, xx2, Z, alpha=0.4, cmap=cmap) plt.xlim(xx1.min(), xx1.max()) plt.ylim(xx2.min(), xx2.max()) for idx, cl in enumerate(np.unique(y)): plt.scatter(x=X[y == cl, 0], y=X[y == cl, 1], alpha=0.8, c=cmap(idx), marker=markers[idx], label=cl) # highlight test samples if test_idx: # plot all samples if not versiontuple(np.__version__) >= versiontuple('1.9.0'): X_test, y_test = X[list(test_idx), :], y[list(test_idx)] warnings.warn('Please update to NumPy 1.9.0 or newer') else: X_test, y_test = X[test_idx, :], y[test_idx] plt.scatter(X_test[:, 0], X_test[:, 1], c='', alpha=1.0, linewidths=1, marker='o', s=55, label='test set') X_combined_std = np.vstack((X_train_std, X_test_std)) y_combined = np.hstack((y_train, y_test)) plot_decision_regions(X=X_combined_std, y=y_combined, classifier=ppn, test_idx=range(105, 150)) plt.xlabel('petal length [standardized]') plt.ylabel('petal width [standardized]') plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./figures/iris_perceptron_scikit.png', dpi=300) plt.show() ############################################################################# print(50 * '=') print('Section: Logistic regression intuition and conditional probabilities') print(50 * '-') def sigmoid(z): return 1.0 / (1.0 + np.exp(-z)) z = np.arange(-7, 7, 0.1) phi_z = sigmoid(z) plt.plot(z, phi_z) plt.axvline(0.0, color='k') plt.ylim(-0.1, 1.1) plt.xlabel('z') plt.ylabel('$\phi (z)$') # y axis ticks and gridline plt.yticks([0.0, 0.5, 1.0]) ax = plt.gca() ax.yaxis.grid(True) # plt.tight_layout() # plt.savefig('./figures/sigmoid.png', dpi=300) plt.show() ############################################################################# print(50 * '=') print('Section: Learning the weights of the logistic cost function') print(50 * '-') def cost_1(z): return - np.log(sigmoid(z)) def cost_0(z): return - np.log(1 - sigmoid(z)) z = np.arange(-10, 10, 0.1) phi_z = sigmoid(z) c1 = [cost_1(x) for x in z] plt.plot(phi_z, c1, label='J(w) if y=1') c0 = [cost_0(x) for x in z] plt.plot(phi_z, c0, linestyle='--', label='J(w) if y=0') plt.ylim(0.0, 5.1) plt.xlim([0, 1]) plt.xlabel('$\phi$(z)') plt.ylabel('J(w)') plt.legend(loc='best') # plt.tight_layout() # plt.savefig('./figures/log_cost.png', dpi=300) plt.show() ############################################################################# print(50 * '=') print('Section: Training a logistic regression model with scikit-learn') print(50 * '-') lr = LogisticRegression(C=1000.0, random_state=0) lr.fit(X_train_std, y_train) plot_decision_regions(X_combined_std, y_combined, classifier=lr, test_idx=range(105, 150)) plt.xlabel('petal length [standardized]') plt.ylabel('petal width [standardized]') plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./figures/logistic_regression.png', dpi=300) plt.show() print('Predicted probabilities', lr.predict_proba(X_test_std[0, :] .reshape(1, -1))) ############################################################################# print(50 * '=') print('Section: Tackling overfitting via regularization') print(50 * '-') weights, params = [], [] for c in np.arange(-5.0, 5.0): lr = LogisticRegression(C=10**c, random_state=0) lr.fit(X_train_std, y_train) weights.append(lr.coef_[1]) params.append(10**c) weights = np.array(weights) plt.plot(params, weights[:, 0], label='petal length') plt.plot(params, weights[:, 1], linestyle='--', label='petal width') plt.ylabel('weight coefficient') plt.xlabel('C') plt.legend(loc='upper left') plt.xscale('log') # plt.savefig('./figures/regression_path.png', dpi=300) plt.show() ############################################################################# print(50 * '=') print('Section: Dealing with the nonlinearly' 'separable case using slack variables') print(50 * '-') svm = SVC(kernel='linear', C=1.0, random_state=0) svm.fit(X_train_std, y_train) plot_decision_regions(X_combined_std, y_combined, classifier=svm, test_idx=range(105, 150)) plt.xlabel('petal length [standardized]') plt.ylabel('petal width [standardized]') plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./figures/support_vector_machine_linear.png', dpi=300) plt.show() ############################################################################# print(50 * '=') print('Section: Solving non-linear problems using a kernel SVM') print(50 * '-') np.random.seed(0) X_xor = np.random.randn(200, 2) y_xor = np.logical_xor(X_xor[:, 0] > 0, X_xor[:, 1] > 0) y_xor = np.where(y_xor, 1, -1) plt.scatter(X_xor[y_xor == 1, 0], X_xor[y_xor == 1, 1], c='b', marker='x', label='1') plt.scatter(X_xor[y_xor == -1, 0], X_xor[y_xor == -1, 1], c='r', marker='s', label='-1') plt.xlim([-3, 3]) plt.ylim([-3, 3]) plt.legend(loc='best') # plt.tight_layout() # plt.savefig('./figures/xor.png', dpi=300) plt.show() ############################################################################# print(50 * '=') print('Section: Using the kernel trick to find separating hyperplanes' 'in higher dimensional space') print(50 * '-') svm = SVC(kernel='rbf', random_state=0, gamma=0.10, C=10.0) svm.fit(X_xor, y_xor) plot_decision_regions(X_xor, y_xor, classifier=svm) plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./figures/support_vector_machine_rbf_xor.png', dpi=300) plt.show() svm = SVC(kernel='rbf', random_state=0, gamma=0.2, C=1.0) svm.fit(X_train_std, y_train) plot_decision_regions(X_combined_std, y_combined, classifier=svm, test_idx=range(105, 150)) plt.xlabel('petal length [standardized]') plt.ylabel('petal width [standardized]') plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./figures/support_vector_machine_rbf_iris_1.png', dpi=300) plt.show() svm = SVC(kernel='rbf', random_state=0, gamma=100.0, C=1.0) svm.fit(X_train_std, y_train) plot_decision_regions(X_combined_std, y_combined, classifier=svm, test_idx=range(105, 150)) plt.xlabel('petal length [standardized]') plt.ylabel('petal width [standardized]') plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./figures/support_vector_machine_rbf_iris_2.png', dpi=300) plt.show() ############################################################################# print(50 * '=') print('Section: Decision tree learning') print(50 * '-') def gini(p): return p * (1 - p) + (1 - p) * (1 - (1 - p)) def entropy(p): return - p * np.log2(p) - (1 - p) * np.log2((1 - p)) def error(p): return 1 - np.max([p, 1 - p]) x = np.arange(0.0, 1.0, 0.01) ent = [entropy(p) if p != 0 else None for p in x] sc_ent = [e * 0.5 if e else None for e in ent] err = [error(i) for i in x] fig = plt.figure() ax = plt.subplot(111) for i, lab, ls, c, in zip([ent, sc_ent, gini(x), err], ['Entropy', 'Entropy (scaled)', 'Gini Impurity', 'Misclassification Error'], ['-', '-', '--', '-.'], ['black', 'lightgray', 'red', 'green', 'cyan']): line = ax.plot(x, i, label=lab, linestyle=ls, lw=2, color=c) ax.legend(loc='upper center', bbox_to_anchor=(0.5, 1.15), ncol=3, fancybox=True, shadow=False) ax.axhline(y=0.5, linewidth=1, color='k', linestyle='--') ax.axhline(y=1.0, linewidth=1, color='k', linestyle='--') plt.ylim([0, 1.1]) plt.xlabel('p(i=1)') plt.ylabel('Impurity Index') # plt.tight_layout() # plt.savefig('./figures/impurity.png', dpi=300, bbox_inches='tight') plt.show() ############################################################################# print(50 * '=') print('Section: Building a decision tree') print(50 * '-') tree = DecisionTreeClassifier(criterion='entropy', max_depth=3, random_state=0) tree.fit(X_train, y_train) X_combined = np.vstack((X_train, X_test)) y_combined = np.hstack((y_train, y_test)) plot_decision_regions(X_combined, y_combined, classifier=tree, test_idx=range(105, 150)) plt.xlabel('petal length [cm]') plt.ylabel('petal width [cm]') plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./figures/decision_tree_decision.png', dpi=300) plt.show() # export_graphviz(tree, # out_file='tree.dot', # feature_names=['petal length', 'petal width']) ############################################################################# print(50 * '=') print('Section: Combining weak to strong learners via random forests') print(50 * '-') forest = RandomForestClassifier(criterion='entropy', n_estimators=10, random_state=1, n_jobs=2) forest.fit(X_train, y_train) plot_decision_regions(X_combined, y_combined, classifier=forest, test_idx=range(105, 150)) plt.xlabel('petal length [cm]') plt.ylabel('petal width [cm]') plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./figures/random_forest.png', dpi=300) plt.show() ############################################################################# print(50 * '=') print('Section: K-nearest neighbors - a lazy learning algorithm') print(50 * '-') knn = KNeighborsClassifier(n_neighbors=5, p=2, metric='minkowski') knn.fit(X_train_std, y_train) plot_decision_regions(X_combined_std, y_combined, classifier=knn, test_idx=range(105, 150)) plt.xlabel('petal length [standardized]') plt.ylabel('petal width [standardized]') plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./figures/k_nearest_neighbors.png', dpi=300) plt.show()