generated from LufsX/Experiment-LogReg
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import numpy as np
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from sklearn.impute import SimpleImputer
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from sklearn.feature_selection import SelectKBest, mutual_info_classif
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from sklearn.preprocessing import RobustScaler
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from sklearn.feature_selection import SelectKBest, f_classif
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# 填写学号和姓名
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id = "202210423213"
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name = "熊浩燃"
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def load_data(filepath, k_features=20):
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"""
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从文件中加载数据并进行预处理,包括缺失值填充和特征选择。
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Args:
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- filepath (str): 数据文件路径。
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- k_features (int): 选择的特征数量。
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Returns:
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- np.array: 特征数据。
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- np.array: 标签数据。
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"""
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data = []
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labels = []
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data, labels = [], []
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with open(filepath, 'r') as file:
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for line in file:
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line = line.strip().split()
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if line:
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features = []
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for feature in line[:-1]: # 最后一个元素是标签
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try:
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features.append(float(feature))
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except ValueError:
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features.append(np.nan) # 用 NaN 表示缺失值
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features = [float(feature) if feature.replace('.', '', 1).isdigit() else np.nan for feature in line[:-1]]
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label = int(line[-1])
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data.append(features)
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labels.append(label)
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# 转换为 numpy 数组
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data = np.array(data)
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labels = np.array(labels)
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# 使用SimpleImputer填充NaN
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imputer = SimpleImputer(strategy='median')
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data, labels = np.array(data), np.array(labels)
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imputer = SimpleImputer(strategy='mean')
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data = imputer.fit_transform(data)
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mean, std_dev = data.mean(axis=0), data.std(axis=0)
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std_dev[std_dev == 0] = 1
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data = (data - mean) / std_dev
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# 使用RobustScaler进行数据标准化,减少异常值的影响
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scaler = RobustScaler()
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data = scaler.fit_transform(data)
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# 特征选择,使用互信息
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selector = SelectKBest(mutual_info_classif, k=k_features)
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selector = SelectKBest(f_classif, k=k_features)
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data = selector.fit_transform(data, labels)
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return data, labels
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def sigmoid(z):
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"""Sigmoid激活函数"""
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return 1 / (1 + np.exp(-z))
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def train_logreg(X, y, initial_lr=0.01, iterations=5000, regularization=0.02, decay=0.00005, patience=200):
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"""
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对率回归训练函数,包含学习率衰减和早停机制。
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Args:
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- X (numpy array): 特征数据。
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- y (numpy array): 标签数据。
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- initial_lr (float): 初始学习率。
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- iterations (int): 迭代次数。
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- regularization (float): 正则化强度。
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- decay (float): 学习率衰减系数。
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- patience (int): 早停的等待次数。
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Returns:
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- numpy array: 训练得到的权重。
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"""
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def train_logreg(X, y, initial_lr=0.005, iterations=5000, regularization=0.01, decay=0.0001):
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m, n = X.shape
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weights = np.zeros(n)
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best_loss = float('inf')
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stop_counter = 0
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learning_rate = initial_lr
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for i in range(iterations):
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# 前向传播和损失计算
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z = np.dot(X, weights)
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predictions = sigmoid(z)
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loss = -np.mean(y * np.log(predictions + 1e-9) + (1 - y) * np.log(1 - predictions + 1e-9)) + regularization * np.sum(weights ** 2) / (2 * m)
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# 早停机制
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if loss < best_loss:
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best_loss = loss
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stop_counter = 0
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else:
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stop_counter += 1
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if stop_counter >= patience:
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print("早停:在第 {} 轮迭代停止".format(i))
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break
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# 反向传播更新权重
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predictions = sigmoid(np.dot(X, weights))
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errors = y - predictions
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gradient = np.dot(X.T, errors) / m - regularization * weights / m
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weights += initial_lr * gradient / (1 + decay * i) # 学习率衰减
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gradient = (np.dot(X.T, errors) - regularization * weights) / m
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weights += learning_rate * gradient
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learning_rate = initial_lr / (1 + decay * i)
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return weights
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def predict_logreg(inX, weights, threshold=0.5):
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"""
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对率回归预测函数,包含可调阈值。
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Args:
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- inX (numpy array): 输入待分类的样本。
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- weights (numpy array): 训练得到的权重。
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- threshold (float): 判定阈值,默认为0.5。
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Returns:
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- int: 预测的分类标签。
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"""
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probability = sigmoid(np.dot(inX, weights))
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return 1 if probability >= threshold else 2
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def predict_logreg(X, weights, threshold=0.5):
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probabilities = sigmoid(np.dot(X, weights))
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return (probabilities >= threshold).astype(int)
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# 测试代码
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if __name__ == "__main__":
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# 加载数据并选择前20个最重要的特征
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X_train, y_train = load_data("./data/horse-colic.data", k_features=20)
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X_test, y_test = load_data("./data/horse-colic.test", k_features=20)
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# 训练模型
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weights = train_logreg(X_train, y_train, initial_lr=0.01, iterations=5000, regularization=0.02, decay=0.00005, patience=200)
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weights = train_logreg(X_train, y_train, initial_lr=0.005, iterations=5000, regularization=0.01, decay=0.0001)
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# 模型评估
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correct_predictions = 0
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for i in range(len(X_test)):
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y_pred = predict_logreg(X_test[i], weights, threshold=0.5)
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if y_pred == y_test[i]:
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correct_predictions += 1
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print(f"预测结果: {y_pred}, 实际结果: {y_test[i]}")
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accuracy = correct_predictions / len(X_test)
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y_pred = predict_logreg(X_test, weights, threshold=0.5)
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accuracy = np.mean(y_pred == y_test)
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print(f"测试集准确率: {accuracy:.2f}")
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