import numpy as np import os # 学号和姓名 id = "202210423130" name = "董秋" def sigmoid(z): """计算sigmoid函数""" return 1.0 / (1 + np.exp(-z)) def compute_gradient(X_batch, y_batch, weights, lambda_reg): """计算梯度,包含L2正则化""" z = np.dot(X_batch, weights) h = sigmoid(z) gradient = np.dot(X_batch.T, (h - y_batch)) / len(y_batch) gradient += (lambda_reg / len(y_batch)) * weights # L2正则化 return gradient def train_logreg(X, y, learning_rate=0.001, iterations=10000, batch_size=64, lambda_reg=0.1): """对率回归训练函数。""" m, n = X.shape weights = np.random.randn(n) * np.sqrt(2. / n) # He初始化 for _ in range(iterations): indices = np.random.permutation(m) X_shuffled = X[indices] y_shuffled = y[indices] for j in range(0, m, batch_size): X_batch = X_shuffled[j:j + batch_size] y_batch = y_shuffled[j:j + batch_size] gradient = compute_gradient(X_batch, y_batch, weights, lambda_reg) weights -= learning_rate * gradient return weights def predict_logreg(inX, weights): """对率回归预测函数。""" z = np.dot(inX, weights) h = sigmoid(z) return 1 if h >= 0.5 else 0 def load_data(filepath): """从文件中加载数据。""" if not os.path.exists(filepath): raise FileNotFoundError(f"文件 {filepath} 不存在!") data, labels = [], [] with open(filepath, 'r') as f: for line in f: line = line.strip().split() if len(line) >= 1 and line[-1].isdigit(): line_data = [0 if x == '?' else float(x) for x in line[:-1]] data.append(line_data) labels.append(int(line[-1])) data = np.array(data) labels = np.array(labels) num_features = data.shape[1] indices_to_remove = [2] # 去掉特征3(索引2) if num_features > 23: indices_to_remove.extend(range(23, min(28, num_features))) data = np.delete(data, indices_to_remove, axis=1) target_variable = np.where((labels == 2) | (labels == 3), 0, 1) return data, target_variable def k_fold_cross_validation(X, y, k=5, learning_rate=0.001, iterations=10000, batch_size=64, lambda_reg=0.1): """K折交叉验证。""" m = X.shape[0] fold_size = m // k accuracies = [] for i in range(k): val_start = i * fold_size val_end = (i + 1) * fold_size if i != k - 1 else m X_val = X[val_start:val_end] y_val = y[val_start:val_end] X_train = np.concatenate((X[:val_start], X[val_end:])) y_train = np.concatenate((y[:val_start], y[val_end:])) weights = train_logreg(X_train, y_train, learning_rate, iterations, batch_size, lambda_reg) val_accuracy = np.mean([predict_logreg(X_val[j], weights) == y_val[j] for j in range(len(y_val))]) accuracies.append(val_accuracy) print(f"Fold {i + 1}/{k} - 验证准确率: {val_accuracy:.4f}") return np.mean(accuracies) if __name__ == "__main__": # 加载训练集 try: X_train, y_train = load_data("./data/horse-colic.data") except FileNotFoundError as e: print(e) exit() # k折交叉验证 avg_accuracy = k_fold_cross_validation(X_train, y_train, k=5, learning_rate=0.01, iterations=1000) print(f"K折交叉验证的平均准确率: {avg_accuracy:.4f}") # 加载测试集 try: X_test, y_test = load_data("./data/horse-colic.test") except FileNotFoundError as e: print(e) exit() # 训练对率回归模型 weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000) # 测试单个数据 y_pred = predict_logreg(X_test[11], weights) print(f"预测结果: {y_pred}, 实际结果: {y_test[11]}")