# Sebastian Raschka, 2015 (http://sebastianraschka.com) # Python Machine Learning - Code Examples # # Chapter 2 - Training Machine Learning Algorithms for Classification # # 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 matplotlib.colors import ListedColormap class Perceptron(object): """Perceptron classifier. Parameters ------------ eta : float Learning rate (between 0.0 and 1.0) n_iter : int Passes over the training dataset. Attributes ----------- w_ : 1d-array Weights after fitting. errors_ : list Number of misclassifications (updates) in each epoch. """ def __init__(self, eta=0.01, n_iter=10): self.eta = eta self.n_iter = n_iter def fit(self, X, y): """Fit training data. Parameters ---------- X : {array-like}, shape = [n_samples, n_features] Training vectors, where n_samples is the number of samples and n_features is the number of features. y : array-like, shape = [n_samples] Target values. Returns ------- self : object """ self.w_ = np.zeros(1 + X.shape[1]) self.errors_ = [] for _ in range(self.n_iter): errors = 0 for xi, target in zip(X, y): update = self.eta * (target - self.predict(xi)) self.w_[1:] += update * xi self.w_[0] += update errors += int(update != 0.0) self.errors_.append(errors) return self def net_input(self, X): """Calculate net input""" return np.dot(X, self.w_[1:]) + self.w_[0] def predict(self, X): """Return class label after unit step""" return np.where(self.net_input(X) >= 0.0, 1, -1) ############################################################################# print(50 * '=') print('Section: Training a perceptron model on the Iris dataset') print(50 * '-') df = pd.read_csv('https://archive.ics.uci.edu/ml/' 'machine-learning-databases/iris/iris.data', header=None) print(df.tail()) ############################################################################# print(50 * '=') print('Plotting the Iris data') print(50 * '-') # select setosa and versicolor y = df.iloc[0:100, 4].values y = np.where(y == 'Iris-setosa', -1, 1) # extract sepal length and petal length X = df.iloc[0:100, [0, 2]].values # plot data plt.scatter(X[:50, 0], X[:50, 1], color='red', marker='o', label='setosa') plt.scatter(X[50:100, 0], X[50:100, 1], color='blue', marker='x', label='versicolor') plt.xlabel('sepal length [cm]') plt.ylabel('petal length [cm]') plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./images/02_06.png', dpi=300) plt.show() ############################################################################# print(50 * '=') print('Training the perceptron model') print(50 * '-') ppn = Perceptron(eta=0.1, n_iter=10) ppn.fit(X, y) plt.plot(range(1, len(ppn.errors_) + 1), ppn.errors_, marker='o') plt.xlabel('Epochs') plt.ylabel('Number of misclassifications') # plt.tight_layout() # plt.savefig('./perceptron_1.png', dpi=300) plt.show() ############################################################################# print(50 * '=') print('A function for plotting decision regions') print(50 * '-') def plot_decision_regions(X, y, classifier, 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()) # plot class samples 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) plot_decision_regions(X, y, classifier=ppn) plt.xlabel('sepal length [cm]') plt.ylabel('petal length [cm]') plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./perceptron_2.png', dpi=300) plt.show() ############################################################################# print(50 * '=') print('Implementing an adaptive linear neuron in Python') print(50 * '-') class AdalineGD(object): """ADAptive LInear NEuron classifier. Parameters ------------ eta : float Learning rate (between 0.0 and 1.0) n_iter : int Passes over the training dataset. Attributes ----------- w_ : 1d-array Weights after fitting. cost_ : list Sum-of-squares cost function value in each epoch. """ def __init__(self, eta=0.01, n_iter=50): self.eta = eta self.n_iter = n_iter def fit(self, X, y): """ Fit training data. Parameters ---------- X : {array-like}, shape = [n_samples, n_features] Training vectors, where n_samples is the number of samples and n_features is the number of features. y : array-like, shape = [n_samples] Target values. Returns ------- self : object """ self.w_ = np.zeros(1 + X.shape[1]) self.cost_ = [] for i in range(self.n_iter): output = self.net_input(X) errors = (y - output) self.w_[1:] += self.eta * X.T.dot(errors) self.w_[0] += self.eta * errors.sum() cost = (errors**2).sum() / 2.0 self.cost_.append(cost) return self def net_input(self, X): """Calculate net input""" return np.dot(X, self.w_[1:]) + self.w_[0] def activation(self, X): """Compute linear activation""" return self.net_input(X) def predict(self, X): """Return class label after unit step""" return np.where(self.activation(X) >= 0.0, 1, -1) fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(8, 4)) ada1 = AdalineGD(n_iter=10, eta=0.01).fit(X, y) ax[0].plot(range(1, len(ada1.cost_) + 1), np.log10(ada1.cost_), marker='o') ax[0].set_xlabel('Epochs') ax[0].set_ylabel('log(Sum-squared-error)') ax[0].set_title('Adaline - Learning rate 0.01') ada2 = AdalineGD(n_iter=10, eta=0.0001).fit(X, y) ax[1].plot(range(1, len(ada2.cost_) + 1), ada2.cost_, marker='o') ax[1].set_xlabel('Epochs') ax[1].set_ylabel('Sum-squared-error') ax[1].set_title('Adaline - Learning rate 0.0001') # plt.tight_layout() # plt.savefig('./adaline_1.png', dpi=300) plt.show() print('standardize features') X_std = np.copy(X) X_std[:, 0] = (X[:, 0] - X[:, 0].mean()) / X[:, 0].std() X_std[:, 1] = (X[:, 1] - X[:, 1].mean()) / X[:, 1].std() ada = AdalineGD(n_iter=15, eta=0.01) ada.fit(X_std, y) plot_decision_regions(X_std, y, classifier=ada) plt.title('Adaline - Gradient Descent') plt.xlabel('sepal length [standardized]') plt.ylabel('petal length [standardized]') plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./adaline_2.png', dpi=300) plt.show() plt.plot(range(1, len(ada.cost_) + 1), ada.cost_, marker='o') plt.xlabel('Epochs') plt.ylabel('Sum-squared-error') # plt.tight_layout() # plt.savefig('./adaline_3.png', dpi=300) plt.show() ############################################################################# print(50 * '=') print('Large scale machine learning and stochastic gradient descent') print(50 * '-') class AdalineSGD(object): """ADAptive LInear NEuron classifier. Parameters ------------ eta : float Learning rate (between 0.0 and 1.0) n_iter : int Passes over the training dataset. Attributes ----------- w_ : 1d-array Weights after fitting. cost_ : list Sum-of-squares cost function value averaged over all training samples in each epoch. shuffle : bool (default: True) Shuffles training data every epoch if True to prevent cycles. random_state : int (default: None) Set random state for shuffling and initializing the weights. """ def __init__(self, eta=0.01, n_iter=10, shuffle=True, random_state=None): self.eta = eta self.n_iter = n_iter self.w_initialized = False self.shuffle = shuffle if random_state: np.random.seed(random_state) def fit(self, X, y): """ Fit training data. Parameters ---------- X : {array-like}, shape = [n_samples, n_features] Training vectors, where n_samples is the number of samples and n_features is the number of features. y : array-like, shape = [n_samples] Target values. Returns ------- self : object """ self._initialize_weights(X.shape[1]) self.cost_ = [] for i in range(self.n_iter): if self.shuffle: X, y = self._shuffle(X, y) cost = [] for xi, target in zip(X, y): cost.append(self._update_weights(xi, target)) avg_cost = sum(cost) / len(y) self.cost_.append(avg_cost) return self def partial_fit(self, X, y): """Fit training data without reinitializing the weights""" if not self.w_initialized: self._initialize_weights(X.shape[1]) if y.ravel().shape[0] > 1: for xi, target in zip(X, y): self._update_weights(xi, target) else: self._update_weights(X, y) return self def _shuffle(self, X, y): """Shuffle training data""" r = np.random.permutation(len(y)) return X[r], y[r] def _initialize_weights(self, m): """Initialize weights to zeros""" self.w_ = np.zeros(1 + m) self.w_initialized = True def _update_weights(self, xi, target): """Apply Adaline learning rule to update the weights""" output = self.net_input(xi) error = (target - output) self.w_[1:] += self.eta * xi.dot(error) self.w_[0] += self.eta * error cost = 0.5 * error**2 return cost def net_input(self, X): """Calculate net input""" return np.dot(X, self.w_[1:]) + self.w_[0] def activation(self, X): """Compute linear activation""" return self.net_input(X) def predict(self, X): """Return class label after unit step""" return np.where(self.activation(X) >= 0.0, 1, -1) ada = AdalineSGD(n_iter=15, eta=0.01, random_state=1) ada.fit(X_std, y) plot_decision_regions(X_std, y, classifier=ada) plt.title('Adaline - Stochastic Gradient Descent') plt.xlabel('sepal length [standardized]') plt.ylabel('petal length [standardized]') plt.legend(loc='upper left') # plt.tight_layout() # plt.savefig('./adaline_4.png', dpi=300) plt.show() plt.plot(range(1, len(ada.cost_) + 1), ada.cost_, marker='o') plt.xlabel('Epochs') plt.ylabel('Average Cost') # plt.tight_layout() # plt.savefig('./adaline_5.png', dpi=300) plt.show() ada = ada.partial_fit(X_std[0, :], y[0])