import numpy as np import os from sklearn.preprocessing import StandardScaler """ 实验说明: - 自行编写实现数据加载与预测病马死亡的对率回归算法。 注意事项: - 在 function.py 中实现对率回归算法。 - 可以自行导入其他库,需要在 requirements.txt 添加依赖,若未在 requirements.txt 中添加使用到的依赖,则无法自动评测,成绩为零。 - 自动评测脚本仅会加载 train_logreg、predict_logreg 和 load_data 函数,请勿修改函数名。 测评环境: - CPU: Intel Xeon(R) CPU E3-1231 v3 @ 3.40GHz - OS: Ubuntu 22.04.4 LTS - Python: 3.10.12 - numpy: 2.1.1 """ """ 请在这里填写学号和姓名,不填写即成绩无效。 姓名请直接**填写中文** 例如: name = "张三" """ id = "202210423110" name = "罗浩" 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): """逻辑回归训练函数。""" m, n = X.shape weights = np.random.randn(n) * np.sqrt(2. / n) # He初始化 print("开始训练逻辑回归模型") for i 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 if i % 1000 == 0: # 每1000次迭代打印一次信息 print(f"迭代 {i}: 当前权重形状: {weights.shape}") return weights def predict_logreg(inX, weights): """逻辑回归预测函数。""" 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 = [], [] print(f"加载数据中: {filepath}") 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] 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) print(f"数据加载成功,数据形状: {data.shape}, 标签形状: {target_variable.shape}") 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() # 数据归一化处理 scaler = StandardScaler() X_train = scaler.fit_transform(X_train) # 使用训练集进行标准化 # 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() # 测试集也需要进行相同的归一化 X_test = scaler.transform(X_test) # 使用相同的Scaler进行测试集的标准化 # 训练逻辑回归模型 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]}")