更新 function.py
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Wyy
2024-11-02 21:16:17 +08:00
parent fd39fb78f3
commit f91e807dcc
+46 -7
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@@ -1,30 +1,61 @@
import numpy as np import numpy as np
"""
请在这里填写学号和姓名,不填写即成绩无效。
"""
id = "202210423224" id = "202210423224"
name = "吴杨洋" name = "吴杨洋"
def sigmoid(z): def sigmoid(z):
"""
Sigmoid 激活函数。
"""
return 1 / (1 + np.exp(-z)) 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, numIter=1000, learning_rate=0.01, lambda_reg=0.01):
m, n = X.shape m, n = X.shape
weights = np.zeros(n) weights = np.zeros(n)
for j in range(numIter): for j in range(numIter):
z = np.dot(X, weights) for i in range(m):
z = np.dot(X[i], weights)
h = sigmoid(z) h = sigmoid(z)
error = y - h error = y[i] - h
gradient = np.dot(X.T, error) / m gradient = X[i] * error
reg_term = lambda_reg * weights reg_term = lambda_reg * weights
gradient += reg_term / m gradient += reg_term
weights -= learning_rate * gradient weights += learning_rate * gradient
return weights return weights
def predict_logreg(inX, 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) z = np.dot(inX, weights)
prob = sigmoid(z) prob = sigmoid(z)
return 1 if prob >= 0.5 else 0 return 1 if prob >= 0.5 else 0
def load_data(filepath): 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。
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) file = open(filepath)
fr = file.readlines() fr = file.readlines()
data_list = [] data_list = []
@@ -47,26 +78,34 @@ def load_data(filepath):
data_number = len(y) 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)]) 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 = np.array(data_list)
X = np.insert(X, 0, 1, axis=1) # 添加偏置项,应该在第一列添加 X_train = np.insert(X, 0, 1, axis=1) # 添加偏置项
return X, y_train return X_train, y_train
def standardize(X): def standardize(X):
mean = X.mean(axis=0) mean = X.mean(axis=0)
std = X.std(axis=0) std = X.std(axis=0)
return (X - mean) / std, mean, std return (X - mean) / std, mean, std
def main(): def main():
# 加载训练集
X_train, y_train = load_data("./data/horse-colic.data") 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") X_test, y_test = load_data("./data/horse-colic.test")
# 标准化特征数据
X_train, mean, std = standardize(X_train) X_train, mean, std = standardize(X_train)
X_test = (X_test - mean) / std 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, numIter=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] y_pred_test = [predict_logreg(x, weights) for x in X_test]
accuracy_test = np.mean(y_pred_test == y_test) accuracy_test = np.mean(y_pred_test == y_test)
print(f"Test Accuracy: {accuracy_test:.2f}") print(f"Test Accuracy: {accuracy_test:.2f}")
if __name__ == "__main__": if __name__ == "__main__":
main() main()