generated from LufsX/Experiment-LogReg
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+51
-19
@@ -28,29 +28,55 @@ name = "邓龙树"
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import numpy as np
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import numpy as np
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from sklearn.preprocessing import StandardScaler
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from sklearn.preprocessing import StandardScaler
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def sigmoid(intX): # 激活函数,逻辑回归中,将线性组合转换为概率
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def sigmoid(z):
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return 1.0 / (1 + np.exp(-intX))
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"""Sigmoid 激活函数。"""
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return 1.0 / (1 + np.exp(-z))
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def train_logreg(X, y, numIter=150): # 训练逻辑回归模型的函数,使用梯度下降算法。
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def train_logreg(X, y, learning_rate=0.05, iterations=1500, batch_size=64, reg_lambda=0.01):
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"""训练逻辑回归模型的函数,使用梯度下降算法。"""
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m, n = X.shape
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m, n = X.shape
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weights = np.zeros(n) # 初始化权重为0而不是1
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weights = np.random.randn(n) * 0.01 # 初始化权重
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for j in range(numIter):
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best_weights = weights.copy()
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dataIndex = list(range(m))
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best_accuracy = 0
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for i in range(m):
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wait = 0
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alpha = 4 / (1.0 + j + i) + 0.01
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randIndex = int(np.random.uniform(0, len(dataIndex)))
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for i in range(iterations):
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h = sigmoid(np.dot(X[randIndex], weights))
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indices = np.random.permutation(m)
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error = y[randIndex] - h
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X_shuffled = X[indices]
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weights = weights + alpha * error * X[randIndex]
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y_shuffled = y[indices]
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del(dataIndex[randIndex])
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return weights
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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_batch.T, (h - y_batch)) / len(y_batch) + reg_lambda * weights
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weights -= learning_rate * gradient
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# 计算训练集准确率
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train_accuracy = accuracy(X, y, weights)
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if train_accuracy > best_accuracy:
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best_accuracy = train_accuracy
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best_weights = weights.copy()
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wait = 0
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else:
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wait += 1
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# 如果准确率没有提高,提前停止
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if wait > 50:
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break
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return best_weights
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def predict_logreg(X, weights):
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def predict_logreg(X, weights):
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"""预测函数。"""
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z = np.dot(X, weights)
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z = np.dot(X, weights)
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h = sigmoid(z)
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h = sigmoid(z)
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return np.where(h > 0.5, 1, 0)
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return np.where(h > 0.5, 1, 0)
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def load_data(filepath):
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def load_data(filepath):
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"""加载数据函数。"""
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data = []
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data = []
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labels = []
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labels = []
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with open(filepath, 'r') as f:
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with open(filepath, 'r') as f:
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@@ -64,28 +90,34 @@ def load_data(filepath):
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data = np.array(data)
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data = np.array(data)
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labels = np.array(labels)
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labels = np.array(labels)
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target_variable = np.where((labels == 2) | (labels == 3), 0, labels)
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target_variable = np.where((labels == 2) | (labels == 3), 0, labels)
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data = np.delete(data, [2] + list(range(23, 28)), axis=1)
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n_features = data.shape[1]
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columns_to_delete = [2] + list(range(23, min(28, n_features)))
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data = np.delete(data, columns_to_delete, axis=1)
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scaler = StandardScaler()
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scaler = StandardScaler()
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data = scaler.fit_transform(data)
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data = scaler.fit_transform(data)
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return data, target_variable
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return data, target_variable
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def accuracy(X, y, weights):
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def accuracy(X, y, weights):
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"""计算准确率。"""
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predictions = predict_logreg(X, weights)
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predictions = predict_logreg(X, weights)
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return np.mean(predictions == y)
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return np.mean(predictions == y)
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if __name__ == "__main__":
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if __name__ == "__main__":
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X_train, y_train = load_data("./horse-colic.data")
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X_train, y_train = load_data("./horse-colic.data")
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X_test, y_test = load_data("./horse-colic.test")
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X_test, y_test = load_data("./horse-colic.test")
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final_weights = train_logreg(X_train, y_train)
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# 标准化数据
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# 特征标准化
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scaler = StandardScaler()
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scaler = StandardScaler()
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X_train = scaler.fit_transform(X_train)
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X_train = scaler.fit_transform(X_train)
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X_test = scaler.transform(X_test)
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X_test = scaler.transform(X_test)
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final_weights = train_logreg(X_train, y_train, learning_rate=0.001, iterations=1500, batch_size=64)
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# 训练模型
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final_weights = train_logreg(X_train, y_train, learning_rate=0.001, iterations=1500, batch_size=64, reg_lambda=0.01)
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# 计算测试集准确率
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final_accuracy = accuracy(X_test, y_test, final_weights)
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final_accuracy = accuracy(X_test, y_test, final_weights)
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print(f"最终测试集的准确率: {final_accuracy:.4f}")
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print(f"最终测试集的准确率: {final_accuracy:.4f}")
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