import numpy as np import pandas as pd from sklearn.preprocessing import StandardScaler from sklearn.model_selection import train_test_split, KFold from sklearn.metrics import accuracy_score id = "202210423130" name = "董秋" def sigmoid(z): return 1 / (1 + np.exp(-z)) def train_logreg(X, y, learning_rate=0.01, iterations=1000, lambda_reg=0.01): m, n = X.shape weights = np.random.randn(n) * 0.01 for i in range(iterations): indices = np.random.permutation(m) X = X[indices] y = y[indices] z = np.dot(X, weights) predictions = sigmoid(z) gradient = np.dot(X.T, (predictions - y)) / m gradient += (lambda_reg / m) * weights weights -= learning_rate * gradient learning_rate *= 0.99 return weights def predict_logreg(inX, weights): z = np.dot(inX, weights) prediction_prob = sigmoid(z) return 1 if prediction_prob >= 0.5 else 0 def handle_outliers(df, threshold=3): z_scores = np.abs((df - df.mean()) / df.std()) df[z_scores > threshold] = np.nan df.fillna(df.mean(), inplace=True) return df def load_data(filepath): data = [] labels = [] with open(filepath, 'r') as f: for line in f: values = line.strip().replace('?', '0').split() try: values = [float(v) for v in values] if values[22] == 2 or values[22] == 3: labels.append(0) elif values[22] == 1: labels.append(1) else: continue values = [np.nan if v == 0 else v for v in values] data.append(values[:2] + values[3:23]) except ValueError: continue data = np.array(data) labels = np.array(labels) df = pd.DataFrame(data) df.fillna(df.mean(), inplace=True) df = handle_outliers(df) return df.to_numpy(), labels def preprocess_data(X): scaler = StandardScaler() return scaler.fit_transform(X) def cross_validate_learning_rate(X, y, learning_rates, k=5, iterations=1000, lambda_reg=0.01): best_lr = None best_score = 0 kf = KFold(n_splits=k, shuffle=True, random_state=42) for lr in learning_rates: cv_scores = [] for train_index, val_index in kf.split(X): X_train, X_val = X[train_index], X[val_index] y_train, y_val = y[train_index], y[val_index] weights = train_logreg(X_train, y_train, learning_rate=lr, iterations=iterations, lambda_reg=lambda_reg) y_pred = [predict_logreg(x, weights) for x in X_val] cv_scores.append(accuracy_score(y_val, y_pred)) avg_score = np.mean(cv_scores) print(f"Learning Rate: {lr}, Cross-Validation Accuracy: {avg_score:.4f}") if avg_score > best_score: best_score = avg_score best_lr = lr print(f"Best Learning Rate: {best_lr}, Best CV Accuracy: {best_score:.4f}") return best_lr if __name__ == "__main__": X, y = load_data("./data/horse-colic.data") X = preprocess_data(X) learning_rates = [0.001, 0.01, 0.05, 0.1, 0.2] best_learning_rate = cross_validate_learning_rate(X, y, learning_rates) X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42) weights = train_logreg(X_train, y_train, learning_rate=best_learning_rate, iterations=1000, lambda_reg=0.01) y_pred = predict_logreg(X_test[11], weights) print(f"预测结果: {y_pred}, 实际结果: {y_test[11]}")