generated from LufsX/Experiment-LogReg
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-102
@@ -26,114 +26,30 @@ import numpy as np
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id = "202210423113"
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name = "杨文强"
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# 这里写自己的代码实现
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# 1. 数据加载函数
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def load_data(filepath):
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"""
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从文件中加载数据,处理缺失值 '?' 为 NaN,并将其替换为列的均值或其他方法。
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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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# 读取数据,使用 `?` 替换为 np.nan
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data = np.genfromtxt(filepath, delimiter=' ', dtype=str) # 读取为字符串类型
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data[data == '?'] = np.nan # 将 '?' 替换为 NaN
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# 将数据转换为浮动类型
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data = data.astype(float)
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# 处理缺失值:用列的均值替换缺失值
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# 计算每列的均值(跳过 NaN)
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col_means = np.nanmean(data, axis=0)
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# 用列均值填充 NaN 值
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# np.where 检查哪里是 NaN,并用对应列的均值替换
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inds = np.where(np.isnan(data))
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data[inds] = np.take(col_means, inds[1])
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# 特征数据:去掉最后一列
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X = data[:, :-1]
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# 标签数据:最后一列是标签
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y = data[:, -1]
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return X, y
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# 2. 训练对率回归模型的函数
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def sigmoid(z):
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"""
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Sigmoid激活函数,常用于逻辑回归模型。
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Args:
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- z (numpy array): 输入的值。
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Returns:
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- numpy array: Sigmoid函数的输出。
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"""
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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): 训练的迭代次数。
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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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m, n = X.shape # 获取样本数m和特征数n
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X = np.hstack((np.ones((m, 1)), X)) # 添加偏置项(常数项)
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weights = np.zeros(n + 1) # 初始化权重(包括偏置项)
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m, n = X.shape
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weights = np.zeros(n)
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bias = 0
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for _ in range(iterations):
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# 预测值
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z = np.dot(X, weights) # 计算线性模型的输出
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y_pred = sigmoid(z) # 使用sigmoid得到概率值
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# 计算梯度
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error = y_pred - y
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gradient = np.dot(X.T, error) / m
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# 更新权重
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weights -= learning_rate * gradient
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z = np.dot(X, weights) + bias
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h = sigmoid(z)
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cost = (-1/m) * np.sum(y*np.log(h) + (1-y)*np.log(1-h))
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dw = (1/m) * np.dot(X.T, (h - y))
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db = (1/m) * np.sum(h - y)
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weights -= learning_rate * dw
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bias -= learning_rate * db
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return weights
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# 3. 预测函数
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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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z = np.dot(inX, weights)
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h = sigmoid(z)
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return 1 if h > 0.5 else 0
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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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inX = np.hstack((np.ones((1, 1)), inX)) # 添加偏置项
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prob = sigmoid(np.dot(inX, weights)) # 计算概率
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return 1 if prob >= 0.5 else 0 # 如果概率大于等于0.5,则预测为1,否则预测为0
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# 测试代码
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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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# 加载测试集
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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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# 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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def load_data(filepath):
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data = np.loadtxt(filepath, delimiter=',')
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X = data[:, :-1]
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y = data[:, -1]
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return X, y
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