generated from LufsX/Experiment-LogReg
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import numpy as np
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import os
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from sklearn.preprocessing import StandardScaler
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"""
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"""
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实验说明:
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实验说明:
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- 自行编写实现数据加载与预测病马死亡的对率回归算法。
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- 自行编写实现数据加载与预测病马死亡的对率回归算法。
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@@ -23,46 +27,118 @@ id = "202210423211"
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name = "梅晓东"
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name = "梅晓东"
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import pandas as pd
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def sigmoid(z):
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from sklearn.linear_model import LogisticRegression
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"""计算sigmoid函数"""
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from sklearn.model_selection import train_test_split
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return 1.0 / (1 + np.exp(-z))
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from sklearn.metrics import accuracy_score
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def compute_gradient(X_batch, y_batch, weights, lambda_reg):
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"""计算梯度,包含L2正则化"""
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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)
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gradient += (lambda_reg / len(y_batch)) * weights # L2正则化
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return gradient
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def load_data(file_path):
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def train_logreg(X, y, learning_rate=0.001, iterations=10000, batch_size=64, lambda_reg=0.1):
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"""
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"""逻辑回归训练函数。"""
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加载数据
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m, n = X.shape
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:param file_path: 数据文件路径
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weights = np.random.randn(n) * np.sqrt(2. / n) # He初始化
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:return: 特征和标签
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print("开始训练逻辑回归模型")
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"""
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data = pd.read_csv(file_path)
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X = data.drop('death', axis=1) # 假设 'death' 列为标签
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y = data['death']
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return X, y
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def train_logreg(X, y):
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for i in range(iterations):
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"""
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indices = np.random.permutation(m)
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训练对率回归模型
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X_shuffled = X[indices]
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:param X: 特征
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y_shuffled = y[indices]
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:param y: 标签
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:return: 训练好的模型
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"""
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X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)
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model = LogisticRegression()
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model.fit(X_train, y_train)
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y_pred = model.predict(X_test)
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accuracy = accuracy_score(y_test, y_pred)
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print(f'Accuracy: {accuracy:.2f}')
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return model
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def predict_logreg(model, X_new):
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for j in range(0, m, batch_size):
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"""
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X_batch = X_shuffled[j:j + batch_size]
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使用训练好的模型进行预测
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y_batch = y_shuffled[j:j + batch_size]
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:param model: 训练好的对率回归模型
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gradient = compute_gradient(X_batch, y_batch, weights, lambda_reg)
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:param X_new: 新的特征数据
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weights -= learning_rate * gradient
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:return: 预测结果
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"""
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predictions = model.predict(X_new)
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return predictions
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if i % 1000 == 0: # 每1000次迭代打印一次信息
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print(f"迭代 {i}: 当前权重形状: {weights.shape}")
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return weights
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def predict_logreg(inX, weights):
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"""逻辑回归预测函数。"""
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z = np.dot(inX, weights)
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h = sigmoid(z)
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return 1 if h >= 0.5 else 0
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def load_data(filepath):
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"""从文件中加载数据。"""
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if not os.path.exists(filepath):
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raise FileNotFoundError(f"文件 {filepath} 不存在!")
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data, labels = [], []
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print(f"加载数据中: {filepath}")
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with open(filepath, 'r') as f:
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for line in f:
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line = line.strip().split()
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if len(line) >= 1 and line[-1].isdigit():
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line_data = [0 if x == '?' else float(x) for x in line[:-1]]
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data.append(line_data)
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labels.append(int(line[-1]))
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data = np.array(data)
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labels = np.array(labels)
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num_features = data.shape[1]
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indices_to_remove = [2]
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if num_features > 23:
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indices_to_remove.extend(range(23, min(28, num_features)))
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data = np.delete(data, indices_to_remove, axis=1)
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target_variable = np.where((labels == 2) | (labels == 3), 0, 1)
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print(f"数据加载成功,数据形状: {data.shape}, 标签形状: {target_variable.shape}")
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return data, target_variable
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def k_fold_cross_validation(X, y, k=5, learning_rate=0.001, iterations=10000, batch_size=64, lambda_reg=0.1):
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"""K折交叉验证。"""
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m = X.shape[0]
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fold_size = m // k
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accuracies = []
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for i in range(k):
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val_start = i * fold_size
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val_end = (i + 1) * fold_size if i != k - 1 else m
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X_val = X[val_start:val_end]
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y_val = y[val_start:val_end]
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X_train = np.concatenate((X[:val_start], X[val_end:]))
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y_train = np.concatenate((y[:val_start], y[val_end:]))
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weights = train_logreg(X_train, y_train, learning_rate, iterations, batch_size, lambda_reg)
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val_accuracy = np.mean([predict_logreg(X_val[j], weights) == y_val[j] for j in range(len(y_val))])
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accuracies.append(val_accuracy)
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print(f"Fold {i + 1}/{k} - 验证准确率: {val_accuracy:.4f}")
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return np.mean(accuracies)
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if __name__ == "__main__":
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# 加载训练集
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try:
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X_train, y_train = load_data("./data/horse-colic.data")
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except FileNotFoundError as e:
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print(e)
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exit()
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# 数据归一化处理
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scaler = StandardScaler()
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X_train = scaler.fit_transform(X_train) # 使用训练集进行标准化
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# k折交叉验证
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avg_accuracy = k_fold_cross_validation(X_train, y_train, k=5, learning_rate=0.01, iterations=1000)
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print(f"K折交叉验证的平均准确率: {avg_accuracy:.4f}")
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# 加载测试集
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try:
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X_test, y_test = load_data("./data/horse-colic.test")
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except FileNotFoundError as e:
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print(e)
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exit()
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# 测试集也需要进行相同的归一化
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X_test = scaler.transform(X_test) # 使用相同的Scaler进行测试集的标准化
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# 训练逻辑回归模型
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weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000)
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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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print(f"预测结果: {y_pred}, 实际结果: {y_test[11]}")
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