generated from LufsX/Experiment-LogReg
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import numpy as np
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"""
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实验说明:
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- 自行编写实现数据加载与预测病马死亡的对率回归算法。
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"""
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id = "202210423218"
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name = "唐一鸣"
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def load_data(filepath):
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"""
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从文件中加载数据。
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Args:
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- filepath (str): 数据文件路径。
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Returns:
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- np.array: 特征数据。
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- np.array: 标签数据。
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"""
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data = []
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labels = []
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with open(filepath, 'r') as file:
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for line in file:
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# 用空格分割每一行
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parts = line.strip().split()
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# 将特征和标签分开,假设最后一列为标签
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features = parts[:-1]
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label = parts[-1]
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# 用-1替换缺失值(或你可以选择其他处理方式)
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features = [float(x) if x != '?' else -1 for x in features]
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data.append(features)
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labels.append(int(label))
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return np.array(data), np.array(labels)
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def sigmoid(z):
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"""Sigmoid 激活函数"""
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return 1 / (1 + np.exp(-z))
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def train_logreg(X, y, learning_rate=0.01, iterations=1000):
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"""
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对率回归训练函数。
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Args:
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- X (numpy array): 特征数据。
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- y (numpy array): 标签数据。
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- learning_rate (float): 学习率。
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- iterations (int): 迭代次数。
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Returns:
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- numpy array: 训练得到的权重。
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"""
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def train_logreg(X, y, learning_rate=0.01, iterations=1000, batch_size=128, lambda_reg=0.01):
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m, n = X.shape
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weights = np.zeros(n)
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for _ in range(iterations):
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linear_model = np.dot(X, weights)
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predictions = sigmoid(linear_model)
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for j in range(iterations):
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dataIndex = np.random.permutation(m)
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for i in range(0, m, batch_size):
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end = min(i + batch_size, m)
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batch_X = X[dataIndex[i:end]]
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batch_y = y[dataIndex[i:end]]
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# 计算梯度
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gradient = np.dot(X.T, (predictions - y)) / m
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weights -= learning_rate * gradient
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z = np.dot(batch_X, weights)
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h = sigmoid(z)
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error = batch_y - h
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gradient = np.dot(batch_X.T, error) / len(batch_y)
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gradient -= lambda_reg * weights / len(batch_y)
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weights += learning_rate * gradient
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return weights
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def predict_logreg(inX, weights):
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"""
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对率回归预测函数。
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Args:
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- inX (numpy array): 输入待分类的样本。
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- weights (numpy array): 训练得到的权重。
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Returns:
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- int: 预测的分类标签。
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"""
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probability = sigmoid(np.dot(inX, weights))
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return 1 if probability >= 0.5 else 0
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if __name__ == "__main__":
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# 加载训练集
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X_train, y_train = load_data("./data/horse-colic.data")
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def load_data(filepath):
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data = []
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labels = []
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with open(filepath, 'r') as file:
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for line in file:
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parts = line.strip().split()
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features = parts[:-1]
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label = parts[-1]
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features = [float(x) if x != '?' else 0.0 for x in features]
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data.append(features)
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labels.append(1 if label in ['2', '3'] else 0)
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# 加载测试集
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# 转换为numpy数组
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data = np.array(data)
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labels = np.array(labels)
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# 简单均值归一化
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data_mean = np.mean(data, axis=0)
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data_std = np.std(data, axis=0)
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data = (data - data_mean) / (data_std + 1e-10) # 防止除零
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return data, labels
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if __name__ == "__main__":
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X_train, y_train = load_data("./data/horse-colic.data")
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X_test, y_test = load_data("./data/horse-colic.test")
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# 训练对率回归模型
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weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000)
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weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=2000, batch_size=64, lambda_reg=0.01)
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# 测试单个数据
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y_pred = predict_logreg(X_test[11], weights)
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print(f"预测结果: {y_pred}, 实际结果: {y_test[11]}")
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error_count = 0
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for i in range(len(y_test)):
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y_pred = predict_logreg(X_test[i], weights)
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if y_pred != y_test[i]:
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error_count += 1
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print(f"预测结果: {y_pred}, 实际结果: {y_test[i]}")
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accuracy = (len(y_test) - error_count) / len(y_test)
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print(f"准确率: {accuracy:.2f}")
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