import numpy as np from sklearn.model_selection import KFold from sklearn.impute import SimpleImputer # 请在这里填写学号和姓名,不填写即成绩无效。 id = "202210423106" name = "刘燚燊" def load_data(filepath): """ 从文件中加载数据,处理缺失值和标签。 Args: - filepath (str): 数据文件路径。 Returns: - np.array: 特征数据。 - np.array: 标签数据。 """ with open(filepath, 'r') as f: data = [line.strip().split() for line in f.readlines()] # 将数据中缺失值用0填充 data = [[0 if value == '?' else float(value) for value in line] for line in data] data = np.array(data) # 分离特征和标签 X = data[:, :-1] y = data[:, -1] # 使用均值填充缺失值 imputer = SimpleImputer(strategy='mean') X = imputer.fit_transform(X) # 过滤掉没有类别标签的数据 valid_indices = np.isfinite(y) X = X[valid_indices] y = y[valid_indices] return X, y def train_logreg(X, y, learning_rate=0.01, iterations=1000, reg_param=0.01): # 初始化权重 weights = np.zeros(X.shape[1]) for i in range(iterations): # 计算线性组合和sigmoid函数 linear_model = np.dot(X, weights) y_predicted = 1 / (1 + np.exp(-linear_model)) # 计算梯度 gradient = np.dot(X.T, (y_predicted - y)) / y.size weights -= learning_rate * (gradient + reg_param * weights) # L2 正则化 return weights def predict_logreg(inX, weights): """ 对率回归预测函数。 Args: - inX (numpy array): 输入待分类的样本。 - weights (numpy array): 训练得到的权重。 Returns: - int: 预测的分类标签。 """ linear_model = np.dot(inX, weights) y_predicted = 1 / (1 + np.exp(-linear_model)) return (y_predicted > 0.5).astype(int) def evaluate_model(X, y, learning_rate, iterations, reg_param, folds=5): """ 使用交叉验证评估模型性能。 Args: - X (numpy array): 特征数据。 - y (numpy array): 标签数据。 - learning_rate (float): 学习率。 - iterations (int): 训练迭代次数。 - reg_param (float): 正则化参数。 - folds (int): 交叉验证折数。 Returns: - float: 平均准确率。 """ kf = KFold(n_splits=folds) accuracy_list = [] for train_index, test_index in kf.split(X): X_train, X_test = X[train_index], X[test_index] y_train, y_test = y[train_index], y[test_index] weights = train_logreg(X_train, y_train, learning_rate, iterations, reg_param) predictions = predict_logreg(X_test, weights) accuracy = np.mean(predictions == y_test) accuracy_list.append(accuracy) return np.mean(accuracy_list) if __name__ == "__main__": # 加载训练集 X_train, y_train = load_data("./data/horse-colic.data") # 调优超参数 best_accuracy = 0 best_params = {} learning_rates = [0.001, 0.01, 0.1] reg_params = [0.01, 0.1, 1.0] for lr in learning_rates: for reg in reg_params: accuracy = evaluate_model(X_train, y_train, lr, 1000, reg) print(f"尝试参数: {{'learning_rate': {lr}, 'reg_param': {reg}}}, 准确率: {accuracy:.2f}") if accuracy > best_accuracy: best_accuracy = accuracy best_params = {'learning_rate': lr, 'reg_param': reg} print(f"最佳参数: {best_params}, 最高准确率: {best_accuracy:.2f}")