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#encoding=utf-8 | |
import numpy as np | |
import matplotlib.pyplot as plt | |
from matplotlib.colors import ListedColormap | |
from sklearn import datasets | |
class Perceptron(object): | |
def __init__(self, eta=0.01, n_iter=10): | |
self.eta = eta | |
self.n_iter = n_iter | |
def fit(self, X, y): | |
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 += np.where(update == 0.0, 0, 1) | |
self.errors_.append(errors) | |
return self | |
def net_input(self, X): | |
return np.dot(X, self.w_[1:]) + self.w_[0] | |
def predict(self, X): | |
return np.where(self.net_input(X) >= 0.0, 1, -1) | |
def plot_decision_regions(X, y, classifier, resolution=0.02): | |
markers = ('s', 'x') | |
colors = ('red', 'blue') | |
cmap = ListedColormap(colors[:len(np.unique(y))]) | |
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).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) | |
def main(): | |
iris = datasets.load_iris() | |
X = iris.data[:100, [0,2]] | |
y = iris.target[:100] | |
for i in range(len(y)): | |
if y[i] == 0: | |
y[i] = -1 | |
plt.scatter(X[:50, 0], X[:50, 1], color="red", marker="x", label="A") | |
plt.scatter(X[50:100, 0], X[50:100, 1], color="blue", marker="*", label="B") | |
plt.xlabel("x") | |
plt.ylabel("y") | |
plt.legend(loc="upper left") | |
plt.show() | |
ppn = Perceptron(eta = 0.1, n_iter = 10).fit(X,y) | |
plt.plot(range(1, len(ppn.errors_) + 1), ppn.errors_, marker="o") | |
plt.xlabel("Epochs") | |
plt.ylabel("Number of misclassifications") | |
plt.show() | |
plot_decision_regions(X, y, classifier=ppn) | |
plt.xlabel("x") | |
plt.ylabel("y") | |
plt.legend(loc="upper left") | |
plt.show() | |
if __name__== "__main__": | |
main() |
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