generated from LufsX/Experiment-LogReg
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+25
-6
@@ -28,7 +28,7 @@ name = "程悦"
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def sigmoid(z):
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return 1.0 / (1 + np.exp(-z))
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def train_logreg(X, y, learning_rate=0.01, iterations=100):
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def train_logreg(X, y, learning_rate=0.01, iterations=1000, batch_size=32, regularization=None, lambda_reg=0.1):
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"""
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对率回归训练函数。
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@@ -40,12 +40,31 @@ def train_logreg(X, y, learning_rate=0.01, iterations=100):
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- numpy array: 训练得到的权重。
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"""
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m, n = X.shape
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weights = np.zeros(n)
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weights = np.random.randn(n) * 0.01 # 随机初始化权重
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for i in range(iterations):
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z = np.dot(X, weights)
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indices = np.random.permutation(m) # 随机打乱数据
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X_shuffled = X[indices]
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y_shuffled = y[indices]
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for j in range(0, m, batch_size):
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X_batch = X_shuffled[j:j + batch_size]
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y_batch = y_shuffled[j:j + batch_size]
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z = np.dot(X_batch, weights)
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h = sigmoid(z)
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gradient = np.dot(X.T, (h - y)) / m
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gradient = np.dot(X_batch.T, (h - y_batch)) / len(y_batch)
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# 添加正则化项
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if regularization == 'L1':
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gradient += lambda_reg * np.sign(weights) / len(y_batch)
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elif regularization == 'L2':
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gradient += lambda_reg * weights / len(y_batch)
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weights -= learning_rate * gradient
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# 可选:学习率衰减
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if i % 100 == 0:
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learning_rate *= 0.95 # 每100次迭代衰减5%
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return weights
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def predict_logreg(inX, weights):
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@@ -110,8 +129,8 @@ if __name__ == "__main__":
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X_test, y_test = load_data("./data/horse-colic.test")
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# 训练对率回归模型
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weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000, re
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='l1')
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weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000, batch_size=32, regularization='L2',
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lambda_reg=0.1)
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# 测试单个数据
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y_pred = predict_logreg(X_test[11], weights)
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