import numpy as np """ 请在这里填写学号和姓名,不填写即成绩无效。 """ id = "202210423224" name = "吴杨洋" def sigmoid(z): """ Sigmoid 激活函数。 """ return 1 / (1 + np.exp(-z)) def train_logreg(X, y, numIter=1000, learning_rate=0.01, lambda_reg=0.01): m, n = X.shape weights = np.zeros(n) for j in range(numIter): for i in range(m): z = np.dot(X[i], weights) h = sigmoid(z) error = y[i] - h gradient = X[i] * error reg_term = lambda_reg * weights gradient += reg_term weights += learning_rate * gradient 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。 """ z = np.dot(inX, weights) prob = sigmoid(z) return 1 if prob >= 0.5 else 0 def load_data(filepath): """ 从文件中加载数据,若不自行正确实现,则无法通过评测,不记录成绩。 Args: - filepath (str): 数据文件路径。 Returns: - X (np.array): 特征数据。 - y (np.array): 标签数据。 """ file = open(filepath) fr = file.readlines() data_list = [] y = [] for data in fr: data = data.strip() data = data.split(' ') data_25 = data[24] y.append(data[22]) del data[-1] del data[26] del data[25] del data[24] del data[22] del data[2] for i in data_25: data.append(i) data = [0 if data_elem == '?' else float(data_elem) for data_elem in data] data_list.append(data) data_number = len(y) y_train = np.array([1 if y[j] == '2' or y[j] == '3' else 0 for j in range(data_number)]) X = np.array(data_list) X_train = np.insert(X, 0, 1, axis=1) # 添加偏置项 return X_train, y_train def standardize(X): mean = X.mean(axis=0) std = X.std(axis=0) return (X - mean) / std, mean, std def main(): # 加载训练集 X_train, y_train = load_data("./data/horse-colic.data") # 加载测试集 X_test, y_test = load_data("./data/horse-colic.test") # 标准化特征数据 X_train, mean, std = standardize(X_train) X_test = (X_test - mean) / std # 训练对率回归模型 weights = train_logreg(X_train, y_train, numIter=1000, learning_rate=0.01, lambda_reg=0.1) # 测试单个数据 y_pred_test = [predict_logreg(x, weights) for x in X_test] accuracy_test = np.mean(y_pred_test == y_test) print(f"Test Accuracy: {accuracy_test:.2f}") if __name__ == "__main__": main()