generated from LufsX/Experiment-LogReg
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# function.py
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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 KFold
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from itertools import product
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"""
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实验说明:
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@@ -24,78 +25,86 @@ from sklearn.model_selection import KFold
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id = "202210423117"
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name = "程悦"
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def sigmoid(z):
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"""计算Sigmoid激活函数值"""
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return 1.0 / (1 + np.exp(-z))
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def train_logreg(X, y, learning_rate=0.05, iterations=1500, batch_size=64,
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regularization='L2', lambda_reg=0.05, cv=5):
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"""训练逻辑回归模型并使用交叉验证计算权重"""
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def train_logreg(X, y, learning_rate=0.05, iterations=1500, batch_size=64, regularization='L2', lambda_reg=0.05):
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"""
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对率回归训练函数。
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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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Returns:
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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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kf = KFold(n_splits=cv, shuffle=True)
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weights_list = []
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fold_scores = []
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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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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 train_index, val_index in kf.split(X):
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X_train, X_val = X[train_index], X[val_index]
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y_train, y_val = y[train_index], y[val_index]
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weights = np.random.randn(n) * 0.01
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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)
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for _ in range(iterations):
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indices = np.random.permutation(len(X_train))
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X_shuffled, y_shuffled = X_train[indices], y_train[indices]
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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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for j in range(0, len(X_train), 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)
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weights -= learning_rate * gradient
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# 正则化处理
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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 / len(y_train)) * weights
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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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weights -= learning_rate * gradient
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if _ % 100 == 0:
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learning_rate *= 0.95 # 动态调整学习率
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# 验证集准确率
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predictions = predict_logreg(X_val, weights)
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score = np.mean(predictions == y_val)
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fold_scores.append(score)
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weights_list.append(weights)
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# 权重加权平均
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total_score = sum(fold_scores)
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if total_score == 0:
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return weights_list[-1]
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averaged_weights = np.zeros(n)
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for weight, score in zip(weights_list, fold_scores):
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averaged_weights += weight * score
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return averaged_weights / total_score
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return weights
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def predict_logreg(X, weights):
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"""对输入数据进行逻辑回归预测"""
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z = np.dot(X, weights)
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def predict_logreg(inX, weights):
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"""
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对率回归预测函数。
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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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Returns:
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- int: 预测的分类标签。
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"""
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z = np.dot(inX, weights)
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h = sigmoid(z)
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return (h > 0.5).astype(int)
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return 1 if h > 0.5 else 0
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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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data, labels = [], []
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"""
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从文件中加载数据,填充缺失值,并进行特征处理。
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Args:
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- filepath (str): 数据文件路径。
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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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with open(filepath, 'r') as f:
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for line in f:
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lines = f.readlines()
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for line in lines:
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line = line.strip().split()
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if line and line[-1].isdigit():
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if len(line) >= 1 and line[-1].isdigit():
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# 将缺失值 '?' 填充为 0,并转换为浮点数
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line_data = [1] + [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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@@ -103,47 +112,25 @@ def load_data(filepath):
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data = np.array(data)
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labels = np.array(labels)
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# 处理目标变量
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labels[(labels == 2) | (labels == 3)] = 0
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data = np.delete(data, [2] + list(range(23, 28)), axis=1)
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# 选择特征,合并目标变量
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target_variable = labels
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target_variable[(target_variable == 2) | (target_variable == 3)] = 0 # 合并死亡和安乐死为0
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# 去掉特征3和特征24~28
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data = np.delete(data, [2] + list(range(23, 28)), axis=1) # 特征3的索引是2,特征24-28的索引是23-27
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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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"""计算模型的准确率"""
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predictions = predict_logreg(X, weights)
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return np.mean(predictions == y)
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def ensemble_predict(X, models, weights):
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"""集成模型预测"""
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predictions = np.array([predict_logreg(X, model) for model in models]) # (num_models, num_samples)
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weighted_predictions = np.tensordot(predictions, weights, axes=(0, 0)) # 权重加权
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return (weighted_predictions > 0.5).astype(int) # 返回最终预测
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return data, target_variable
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if __name__ == "__main__":
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X_train, y_train = load_data("./data/horse-colic.data")
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X_test, y_test = load_data("./data/horse-colic.test")
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# 训练多个模型
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num_models = 5
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models = [train_logreg(X_train, y_train, learning_rate=0.02, iterations=6000,
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batch_size=48, regularization='None', lambda_reg=0.02)
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for _ in range(num_models)]
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final_weights = train_logreg(X_train, y_train, learning_rate=0.05, iterations=1500, batch_size=64, regularization='L2', lambda_reg=0.05)
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# 模型准确率作为权重
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model_accuracies = [accuracy(X_train, y_train, model) for model in models]
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weights = np.array(model_accuracies) / sum(model_accuracies)
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# 集成预测
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ensemble_predictions = ensemble_predict(X_test, models, weights)
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final_accuracy = np.mean(ensemble_predictions == y_test)
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print(f"最终测试集的准确率: {final_accuracy:.4f}")
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# 计算并输出最终测试集的准确率
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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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