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