import numpy as np id = "202210423213" name = "熊浩燃" # 对率回归训练函数,包含加权损失、正则化、学习率调度和提前停止 def train_logreg(X, y, learning_rate=0.01, iterations=1000, regularization=0.01, early_stopping_rounds=100, class_weights={0: 1, 1: 1}): weights = np.zeros(X.shape[1]) min_loss = float('inf') stopping_step = 0 for i in range(iterations): z = np.dot(X, weights) predictions = 1 / (1 + np.exp(-z)) loss = -np.mean(class_weights[1] * y * np.log(predictions) + class_weights[0] * (1 - y) * np.log(1 - predictions)) + regularization * np.sum(weights**2) if loss < min_loss: min_loss = loss stopping_step = 0 else: stopping_step += 1 if stopping_step >= early_stopping_rounds: print("提前停止于迭代:", i) break gradient = (np.dot(X.T, (predictions - y)) + regularization * weights) / y.size weights -= learning_rate * gradient if i % 100 == 0 and i != 0: learning_rate *= 0.9 # 每100轮衰减学习率 print(f"迭代 {i},损失: {loss},学习率: {learning_rate}") return weights # 对率回归预测函数,带有自定义阈值 def predict_logreg(inX, weights, threshold=0.6): probability = 1 / (1 + np.exp(-np.dot(inX, weights))) return 1 if probability >= threshold else 0 # 数据加载函数,包含缺失值填充 def load_data(filepath): data = [] labels = [] with open(filepath, 'r') as file: for line in file: fields = line.strip().split() features = [float(x) if x != '?' else None for x in fields[:-1]] label = float(fields[-1]) data.append(features) labels.append(label) data = np.array(data, dtype=float) labels = np.array(labels, dtype=float) col_means = np.nanmean(data, axis=0) indices = np.where(np.isnan(data)) data[indices] = np.take(col_means, indices[1]) return data, labels # 暴力搜索函数 def brute_force_search(X, y, X_test, y_test, learning_rates, iterations_list, regularizations, class_weights_list, thresholds): best_params = {} best_weights = None best_accuracy = 0 for lr in learning_rates: for iters in iterations_list: for reg in regularizations: for cw in class_weights_list: for threshold in thresholds: print(f"参数组合: 学习率={lr}, 迭代次数={iters}, 正则化={reg}, 类别权重={cw}, 阈值={threshold}") weights = train_logreg(X, y, learning_rate=lr, iterations=iters, regularization=reg, class_weights=cw) y_pred = [predict_logreg(x, weights, threshold=threshold) for x in X_test] accuracy = np.mean(y_pred == y_test) print(f"当前组合的测试集准确率: {accuracy}") if accuracy > best_accuracy: best_accuracy = accuracy best_weights = weights best_params = {'learning_rate': lr, 'iterations': iters, 'regularization': reg, 'class_weights': cw, 'threshold': threshold} print("最佳参数组合:", best_params) print("最佳准确率:", best_accuracy) return best_weights, best_params if __name__ == "__main__": # 加载训练集 X_train, y_train = load_data("./data/horse-colic.data") X_test, y_test = load_data("./data/horse-colic.test") # 调整后的超参数组合 learning_rates = [0.0001, 0.001, 0.01, 0.05, 0.1] iterations_list = [1000, 2000, 5000, 10000] regularizations = [0.01, 0.1, 1.0, 10.0] class_weights_list = [{0: 1, 1: 2}, {0: 1, 1: 3}, {0: 1, 1: 4}, {0: 1, 1: 5}] thresholds = [0.5, 0.55, 0.6, 0.65, 0.7] # 进行暴力搜索找到最佳参数组合 best_weights, best_params = brute_force_search(X_train, y_train, X_test, y_test, learning_rates, iterations_list, regularizations, class_weights_list, thresholds) print("最佳权重:", best_weights) # 使用最佳权重和阈值在测试集上评估 y_pred = [predict_logreg(x, best_weights, threshold=best_params['threshold']) for x in X_test] accuracy = np.mean(y_pred == y_test) print(f"最终测试集准确率: {accuracy}")