更新 function.py
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2024-11-02 21:11:18 +08:00
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import numpy as np
"""
请在这里填写学号和姓名,不填写即成绩无效。
"""
# 学号和姓名
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):
def train_logreg(X, y, num_iter=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)
for _ in range(num_iter):
z = np.dot(X, weights)
h = sigmoid(z)
error = y[i] - h
gradient = X[i] * error
reg_term = lambda_reg * weights
gradient += reg_term
error = y - h
# 添加正则化项
gradient = np.dot(X.T, error) / m + lambda_reg * weights / m
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 predict_logreg(X, weights):
probabilities = sigmoid(np.dot(X, weights))
return (probabilities >= 0.5).astype(int)
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。
data = np.genfromtxt(filepath, delimiter=',', dtype=str, filling_values=np.nan)
# 处理缺失值,转换数据类型
data = np.where(data == '?', np.nan, data).astype(np.float)
data = data[~np.isnan(data).any(axis=1)] # 删除含有NaN的行
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
# 特征与标签分离
X = np.delete(data, [22, 24, 25, 26, -1], axis=1) # 删除不需要的列
y = np.array([1 if row[22] in ['2', '3'] else 0 for row in data]) # 生成标签
X = np.insert(X, 0, 1, axis=1) # 添加偏置项
return X, y
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
# 加载训练集和测试集
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
# 数据标准化
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)
weights = train_logreg(X_train, y_train, num_iter=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]
# 测试模型
y_pred_test = predict_logreg(X_test, weights)
accuracy_test = np.mean(y_pred_test == y_test)
print(f"Test Accuracy: {accuracy_test:.2f}")
if __name__ == "__main__":
main()