generated from LufsX/Experiment-LogReg
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+36
-71
@@ -25,49 +25,45 @@ from sklearn.model_selection import train_test_split, KFold
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id = "202210423117"
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id = "202210423117"
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name = "程悦"
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name = "程悦"
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import numpy as np
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from sklearn.preprocessing import StandardScaler
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from sklearn.model_selection import train_test_split, KFold
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# 学号和姓名
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id = "202210423117"
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name = "程悦"
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def sigmoid(z):
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def sigmoid(z):
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"""Sigmoid 激活函数。"""
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"""计算Sigmoid激活函数值"""
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return 1 / (1 + np.exp(-z))
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return 1 / (1 + np.exp(-z))
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def train_logreg(X, y, learning_rate=0.1, iterations=2000, lambda_reg=0.01, batch_size=32):
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def train_logreg(X, y, learning_rate=0.1, iterations=2000, lambda_reg=0.01, batch_size=32):
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"""逻辑回归训练函数,随机初始化权重,并在每次迭代前打乱数据。"""
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"""训练逻辑回归模型"""
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m, n = X.shape
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m, n = X.shape
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weights = np.random.randn(n) * 0.01 # 随机初始化权重,取较小值
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weights = np.random.randn(n) * 0.01
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for i in range(iterations):
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for _ in range(iterations):
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# 每次迭代打乱数据
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indices = np.random.permutation(m)
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indices = np.random.permutation(m)
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X_shuffled = X[indices]
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X_shuffled, y_shuffled = X[indices], y[indices]
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y_shuffled = y[indices]
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for j in range(0, m, batch_size): # 按照 batch size 迭代
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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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for j in range(0, m, batch_size):
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X_batch, y_batch = X_shuffled[j:j + batch_size], y_shuffled[j:j + batch_size]
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z = np.dot(X_batch, weights)
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z = np.dot(X_batch, weights)
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predictions = sigmoid(z)
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predictions = sigmoid(z)
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gradient = np.dot(X_batch.T, (predictions - y_batch)) / X_batch.shape[0]
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gradient = np.dot(X_batch.T, (predictions - y_batch)) / batch_size
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gradient += (lambda_reg / m) * weights # L2正则化
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# L2正则化
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gradient += (lambda_reg / m) * weights
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# 更新权重
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weights -= learning_rate * gradient
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weights -= learning_rate * gradient
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# 动态调整学习率,逐渐减小
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learning_rate *= 0.95 if _ % 100 == 0 else 1 # 动态调整学习率
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if i % 100 == 0:
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learning_rate *= 0.95
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return weights
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return weights
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def predict_logreg(X, weights):
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def predict_logreg(X, weights):
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"""逻辑回归预测函数。"""
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"""使用逻辑回归模型进行预测"""
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z = np.dot(X, weights)
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return (sigmoid(np.dot(X, weights)) >= 0.5).astype(int)
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prediction_prob = sigmoid(z)
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return np.where(prediction_prob >= 0.5, 1, 0)
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def load_data(filepath):
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def load_data(filepath):
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"""加载数据并处理缺失值。"""
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"""加载数据并处理缺失值"""
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data, labels = [], []
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data, 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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@@ -75,69 +71,38 @@ def load_data(filepath):
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values = line.strip().replace('?', '0').split()
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values = line.strip().replace('?', '0').split()
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try:
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try:
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values = [float(v) for v in values]
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values = [float(v) for v in values]
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if values[22] in [1, 2, 3]:
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# 合并特征23的取值
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labels.append(0 if values[22] in [2, 3] else 1)
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if values[22] in [2, 3]: # 特征23(索引22)
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data.append([0 if v == 0 else v for v in values[:2] + values[3:23]])
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labels.append(0) # 死亡
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elif values[22] == 1:
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labels.append(1) # 生存
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else:
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continue # 无效标签,丢弃
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# 用0填充缺失值并提取特征
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data.append([0 if v == 0 else v for v in values[:2] + values[3:23]]) # 保留特征1, 2 和特征4-23
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except ValueError:
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except ValueError:
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continue
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continue
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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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return StandardScaler().fit_transform(data), labels
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# 数据标准化
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scaler = StandardScaler()
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data = scaler.fit_transform(data)
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return data, labels
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def accuracy(X, y, weights):
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def accuracy(X, y, weights):
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"""计算模型准确率。"""
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"""计算模型准确率"""
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predictions = predict_logreg(X, weights)
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return np.mean(predict_logreg(X, weights) == 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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# 加载训练集
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X_train, y_train = load_data("./data/horse-colic.data")
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X_train, y_train = load_data("./horse-colic.data")
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# 使用 train_test_split 打乱并随机抽取训练和验证数据
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X_train, X_val, y_train, y_val = train_test_split(X_train, y_train, test_size=0.2, random_state=42)
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X_train, X_val, y_train, y_val = train_test_split(X_train, y_train, test_size=0.2, random_state=42)
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# K折交叉验证
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kf = KFold(n_splits=5, shuffle=True, random_state=42)
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k = 5
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accuracies = [accuracy(X_val_kf, y_val_kf, train_logreg(X_train_kf, y_train_kf, batch_size=32))
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kf = KFold(n_splits=k, shuffle=True, random_state=42)
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for train_index, val_index in kf.split(X_train)
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accuracies = []
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for X_train_kf, X_val_kf in [(X_train[train_index], X_train[val_index])]
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for y_train_kf, y_val_kf in [(y_train[train_index], y_train[val_index])]]
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for train_index, val_index in kf.split(X_train):
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X_train_kf, X_val_kf = X_train[train_index], X_train[val_index]
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y_train_kf, y_val_kf = y_train[train_index], y_train[val_index]
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# 训练逻辑回归模型,设置 batch size
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weights = train_logreg(X_train_kf, y_train_kf, learning_rate=0.1, iterations=2000, lambda_reg=0.01, batch_size=32)
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# 验证模型
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val_accuracy = accuracy(X_val_kf, y_val_kf, weights)
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accuracies.append(val_accuracy)
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# 输出交叉验证的准确率和平均准确率
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print(f"K折交叉验证得分: {accuracies}")
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print(f"K折交叉验证得分: {accuracies}")
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print(f"平均准确率: {np.mean(accuracies):.4f}")
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print(f"平均准确率: {np.mean(accuracies):.4f}")
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# 加载测试集
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X_test, y_test = load_data("./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, batch_size=32)
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# 在测试集上评估最终模型
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final_weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000, lambda_reg=0.01, batch_size=32)
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test_accuracy = accuracy(X_test, y_test, final_weights)
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test_accuracy = accuracy(X_test, y_test, final_weights)
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print(f"测试集的准确率: {test_accuracy:.4f}")
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print(f"测试集的准确率: {test_accuracy:.4f}")
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# 测试单个数据
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# 测试单个数据
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y_pred = predict_logreg(X_test[11], final_weights)
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y_pred = predict_logreg(X_test[11], final_weights)
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print(f"预测结果: {y_pred}, 实际结果: {y_test[11]}")
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print(f"预测结果: {y_pred}, 实际结果: {y_test[11]}")
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