generated from LufsX/Experiment-LogReg
This commit is contained in:
+18
-102
@@ -26,114 +26,30 @@ import numpy as np
|
|||||||
id = "202210423113"
|
id = "202210423113"
|
||||||
name = "杨文强"
|
name = "杨文强"
|
||||||
|
|
||||||
|
|
||||||
# 这里写自己的代码实现
|
|
||||||
# 1. 数据加载函数
|
|
||||||
def load_data(filepath):
|
|
||||||
"""
|
|
||||||
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。
|
|
||||||
|
|
||||||
Args:
|
|
||||||
- filepath (str): 数据文件路径。
|
|
||||||
|
|
||||||
Returns:
|
|
||||||
- np.array: 特征数据。
|
|
||||||
- np.array: 标签数据。
|
|
||||||
"""
|
|
||||||
# 读取数据,使用 `?` 替换为 np.nan
|
|
||||||
data = np.genfromtxt(filepath, delimiter=' ', dtype=str) # 读取为字符串类型
|
|
||||||
data[data == '?'] = np.nan # 将 '?' 替换为 NaN
|
|
||||||
|
|
||||||
# 将数据转换为浮动类型
|
|
||||||
data = data.astype(float)
|
|
||||||
|
|
||||||
# 处理缺失值:用列的均值替换缺失值
|
|
||||||
# 计算每列的均值(跳过 NaN)
|
|
||||||
col_means = np.nanmean(data, axis=0)
|
|
||||||
|
|
||||||
# 用列均值填充 NaN 值
|
|
||||||
# np.where 检查哪里是 NaN,并用对应列的均值替换
|
|
||||||
inds = np.where(np.isnan(data))
|
|
||||||
data[inds] = np.take(col_means, inds[1])
|
|
||||||
|
|
||||||
# 特征数据:去掉最后一列
|
|
||||||
X = data[:, :-1]
|
|
||||||
# 标签数据:最后一列是标签
|
|
||||||
y = data[:, -1]
|
|
||||||
|
|
||||||
return X, y
|
|
||||||
|
|
||||||
# 2. 训练对率回归模型的函数
|
|
||||||
def sigmoid(z):
|
def sigmoid(z):
|
||||||
"""
|
|
||||||
Sigmoid激活函数,常用于逻辑回归模型。
|
|
||||||
|
|
||||||
Args:
|
|
||||||
- z (numpy array): 输入的值。
|
|
||||||
|
|
||||||
Returns:
|
|
||||||
- numpy array: Sigmoid函数的输出。
|
|
||||||
"""
|
|
||||||
return 1 / (1 + np.exp(-z))
|
return 1 / (1 + np.exp(-z))
|
||||||
|
|
||||||
def train_logreg(X, y, learning_rate=0.01, iterations=1000):
|
def train_logreg(X, y, learning_rate=0.01, iterations=1000):
|
||||||
"""
|
m, n = X.shape
|
||||||
对率回归训练函数。
|
weights = np.zeros(n)
|
||||||
|
bias = 0
|
||||||
Args:
|
|
||||||
- X (numpy array): 特征数据。
|
|
||||||
- y (numpy array): 标签数据。
|
|
||||||
- learning_rate (float): 学习率。
|
|
||||||
- iterations (int): 训练的迭代次数。
|
|
||||||
|
|
||||||
Returns:
|
|
||||||
- numpy array: 训练得到的权重。
|
|
||||||
"""
|
|
||||||
m, n = X.shape # 获取样本数m和特征数n
|
|
||||||
X = np.hstack((np.ones((m, 1)), X)) # 添加偏置项(常数项)
|
|
||||||
weights = np.zeros(n + 1) # 初始化权重(包括偏置项)
|
|
||||||
|
|
||||||
for _ in range(iterations):
|
for _ in range(iterations):
|
||||||
# 预测值
|
z = np.dot(X, weights) + bias
|
||||||
z = np.dot(X, weights) # 计算线性模型的输出
|
h = sigmoid(z)
|
||||||
y_pred = sigmoid(z) # 使用sigmoid得到概率值
|
cost = (-1/m) * np.sum(y*np.log(h) + (1-y)*np.log(1-h))
|
||||||
|
dw = (1/m) * np.dot(X.T, (h - y))
|
||||||
# 计算梯度
|
db = (1/m) * np.sum(h - y)
|
||||||
error = y_pred - y
|
weights -= learning_rate * dw
|
||||||
gradient = np.dot(X.T, error) / m
|
bias -= learning_rate * db
|
||||||
|
|
||||||
# 更新权重
|
|
||||||
weights -= learning_rate * gradient
|
|
||||||
|
|
||||||
return weights
|
return weights
|
||||||
|
|
||||||
# 3. 预测函数
|
|
||||||
def predict_logreg(inX, weights):
|
def predict_logreg(inX, weights):
|
||||||
"""
|
z = np.dot(inX, weights)
|
||||||
对率回归预测函数。
|
h = sigmoid(z)
|
||||||
|
return 1 if h > 0.5 else 0
|
||||||
|
|
||||||
Args:
|
def load_data(filepath):
|
||||||
- inX (numpy array): 输入待分类的样本。
|
data = np.loadtxt(filepath, delimiter=',')
|
||||||
- weights (numpy array): 训练得到的权重。
|
X = data[:, :-1]
|
||||||
|
y = data[:, -1]
|
||||||
Returns:
|
return X, y
|
||||||
- int: 预测的分类标签。
|
|
||||||
"""
|
|
||||||
inX = np.hstack((np.ones((1, 1)), inX)) # 添加偏置项
|
|
||||||
prob = sigmoid(np.dot(inX, weights)) # 计算概率
|
|
||||||
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
|
|
||||||
|
|
||||||
# 测试代码
|
|
||||||
if __name__ == "__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")
|
|
||||||
|
|
||||||
# 训练对率回归模型
|
|
||||||
weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000)
|
|
||||||
|
|
||||||
# 测试单个数据
|
|
||||||
y_pred = predict_logreg(X_test[11], weights)
|
|
||||||
print(f"预测结果: {y_pred}, 实际结果: {y_test[11]}")
|
|
||||||
|
|||||||
Reference in New Issue
Block a user