更新 function.py
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2024-11-02 16:15:58 +08:00
parent 43013d8766
commit a61118ddff
+50 -18
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@@ -28,29 +28,55 @@ name = "邓龙树"
import numpy as np
from sklearn.preprocessing import StandardScaler
def sigmoid(intX): # 激活函数,逻辑回归中,将线性组合转换为概率
return 1.0 / (1 + np.exp(-intX))
def sigmoid(z):
"""Sigmoid 激活函数。"""
return 1.0 / (1 + np.exp(-z))
def train_logreg(X, y, numIter=150): # 训练逻辑回归模型的函数,使用梯度下降算法。
def train_logreg(X, y, learning_rate=0.05, iterations=1500, batch_size=64, reg_lambda=0.01):
"""训练逻辑回归模型的函数,使用梯度下降算法。"""
m, n = X.shape
weights = np.zeros(n) # 初始化权重为0而不是1
for j in range(numIter):
dataIndex = list(range(m))
for i in range(m):
alpha = 4 / (1.0 + j + i) + 0.01
randIndex = int(np.random.uniform(0, len(dataIndex)))
h = sigmoid(np.dot(X[randIndex], weights))
error = y[randIndex] - h
weights = weights + alpha * error * X[randIndex]
del(dataIndex[randIndex])
return weights
weights = np.random.randn(n) * 0.01 # 初始化权重
best_weights = weights.copy()
best_accuracy = 0
wait = 0
for i in range(iterations):
indices = np.random.permutation(m)
X_shuffled = X[indices]
y_shuffled = y[indices]
for j in range(0, m, batch_size):
X_batch = X_shuffled[j:j + batch_size]
y_batch = y_shuffled[j:j + batch_size]
z = np.dot(X_batch, weights)
h = sigmoid(z)
gradient = np.dot(X_batch.T, (h - y_batch)) / len(y_batch) + reg_lambda * weights
weights -= learning_rate * gradient
# 计算训练集准确率
train_accuracy = accuracy(X, y, weights)
if train_accuracy > best_accuracy:
best_accuracy = train_accuracy
best_weights = weights.copy()
wait = 0
else:
wait += 1
# 如果准确率没有提高,提前停止
if wait > 50:
break
return best_weights
def predict_logreg(X, weights):
"""预测函数。"""
z = np.dot(X, weights)
h = sigmoid(z)
return np.where(h > 0.5, 1, 0)
def load_data(filepath):
"""加载数据函数。"""
data = []
labels = []
with open(filepath, 'r') as f:
@@ -64,28 +90,34 @@ def load_data(filepath):
data = np.array(data)
labels = np.array(labels)
target_variable = np.where((labels == 2) | (labels == 3), 0, labels)
data = np.delete(data, [2] + list(range(23, 28)), axis=1)
n_features = data.shape[1]
columns_to_delete = [2] + list(range(23, min(28, n_features)))
data = np.delete(data, columns_to_delete, axis=1)
scaler = StandardScaler()
data = scaler.fit_transform(data)
return data, target_variable
def accuracy(X, y, weights):
"""计算准确率。"""
predictions = predict_logreg(X, weights)
return np.mean(predictions == y)
if __name__ == "__main__":
X_train, y_train = load_data("./horse-colic.data")
X_test, y_test = load_data("./horse-colic.test")
final_weights = train_logreg(X_train, y_train)
# 标准化数据
# 特征标准化
scaler = StandardScaler()
X_train = scaler.fit_transform(X_train)
X_test = scaler.transform(X_test)
final_weights = train_logreg(X_train, y_train, learning_rate=0.001, iterations=1500, batch_size=64)
# 训练模型
final_weights = train_logreg(X_train, y_train, learning_rate=0.001, iterations=1500, batch_size=64, reg_lambda=0.01)
# 计算测试集准确率
final_accuracy = accuracy(X_test, y_test, final_weights)
print(f"最终测试集的准确率: {final_accuracy:.4f}")