更新 function.py
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cy
2024-11-02 15:05:29 +08:00
parent 8d9a19e4be
commit 5b2b775838
+36 -71
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@@ -25,49 +25,45 @@ from sklearn.model_selection import train_test_split, KFold
id = "202210423117" id = "202210423117"
name = "程悦" name = "程悦"
import numpy as np
from sklearn.preprocessing import StandardScaler
from sklearn.model_selection import train_test_split, KFold
# 学号和姓名
id = "202210423117"
name = "程悦"
def sigmoid(z): def sigmoid(z):
"""Sigmoid 激活函数。""" """计算Sigmoid激活函数值"""
return 1 / (1 + np.exp(-z)) return 1 / (1 + np.exp(-z))
def train_logreg(X, y, learning_rate=0.1, iterations=2000, lambda_reg=0.01, batch_size=32): def train_logreg(X, y, learning_rate=0.1, iterations=2000, lambda_reg=0.01, batch_size=32):
"""逻辑回归训练函数,随机初始化权重,并在每次迭代前打乱数据。""" """训练逻辑回归模型"""
m, n = X.shape m, n = X.shape
weights = np.random.randn(n) * 0.01 # 随机初始化权重,取较小值 weights = np.random.randn(n) * 0.01
for i in range(iterations): for _ in range(iterations):
# 每次迭代打乱数据
indices = np.random.permutation(m) indices = np.random.permutation(m)
X_shuffled = X[indices] X_shuffled, y_shuffled = X[indices], y[indices]
y_shuffled = y[indices]
for j in range(0, m, batch_size): # 按照 batch size 迭代
X_batch = X_shuffled[j:j + batch_size]
y_batch = y_shuffled[j:j + batch_size]
for j in range(0, m, batch_size):
X_batch, y_batch = X_shuffled[j:j + batch_size], y_shuffled[j:j + batch_size]
z = np.dot(X_batch, weights) z = np.dot(X_batch, weights)
predictions = sigmoid(z) predictions = sigmoid(z)
gradient = np.dot(X_batch.T, (predictions - y_batch)) / X_batch.shape[0] gradient = np.dot(X_batch.T, (predictions - y_batch)) / batch_size
gradient += (lambda_reg / m) * weights # L2正则化
# L2正则化
gradient += (lambda_reg / m) * weights
# 更新权重
weights -= learning_rate * gradient weights -= learning_rate * gradient
# 动态调整学习率,逐渐减小 learning_rate *= 0.95 if _ % 100 == 0 else 1 # 动态调整学习率
if i % 100 == 0:
learning_rate *= 0.95
return weights return weights
def predict_logreg(X, weights): def predict_logreg(X, weights):
"""逻辑回归预测函数。""" """使用逻辑回归模型进行预测"""
z = np.dot(X, weights) return (sigmoid(np.dot(X, weights)) >= 0.5).astype(int)
prediction_prob = sigmoid(z)
return np.where(prediction_prob >= 0.5, 1, 0)
def load_data(filepath): def load_data(filepath):
"""加载数据并处理缺失值。""" """加载数据并处理缺失值"""
data, labels = [], [] data, labels = [], []
with open(filepath, 'r') as f: with open(filepath, 'r') as f:
@@ -75,69 +71,38 @@ def load_data(filepath):
values = line.strip().replace('?', '0').split() values = line.strip().replace('?', '0').split()
try: try:
values = [float(v) for v in values] values = [float(v) for v in values]
if values[22] in [1, 2, 3]:
# 合并特征23的取值 labels.append(0 if values[22] in [2, 3] else 1)
if values[22] in [2, 3]: # 特征23(索引22) data.append([0 if v == 0 else v for v in values[:2] + values[3:23]])
labels.append(0) # 死亡
elif values[22] == 1:
labels.append(1) # 生存
else:
continue # 无效标签,丢弃
# 用0填充缺失值并提取特征
data.append([0 if v == 0 else v for v in values[:2] + values[3:23]]) # 保留特征1, 2 和特征4-23
except ValueError: except ValueError:
continue continue
data = np.array(data) data = np.array(data)
labels = np.array(labels) labels = np.array(labels)
return StandardScaler().fit_transform(data), labels
# 数据标准化
scaler = StandardScaler()
data = scaler.fit_transform(data)
return data, labels
def accuracy(X, y, weights): def accuracy(X, y, weights):
"""计算模型准确率。""" """计算模型准确率"""
predictions = predict_logreg(X, weights) return np.mean(predict_logreg(X, weights) == y)
return np.mean(predictions == y)
if __name__ == "__main__": if __name__ == "__main__":
# 加载训练集 X_train, y_train = load_data("./data/horse-colic.data")
X_train, y_train = load_data("./horse-colic.data")
# 使用 train_test_split 打乱并随机抽取训练和验证数据
X_train, X_val, y_train, y_val = train_test_split(X_train, y_train, test_size=0.2, random_state=42) X_train, X_val, y_train, y_val = train_test_split(X_train, y_train, test_size=0.2, random_state=42)
# K折交叉验证 kf = KFold(n_splits=5, shuffle=True, random_state=42)
k = 5 accuracies = [accuracy(X_val_kf, y_val_kf, train_logreg(X_train_kf, y_train_kf, batch_size=32))
kf = KFold(n_splits=k, shuffle=True, random_state=42) for train_index, val_index in kf.split(X_train)
accuracies = [] for X_train_kf, X_val_kf in [(X_train[train_index], X_train[val_index])]
for y_train_kf, y_val_kf in [(y_train[train_index], y_train[val_index])]]
for train_index, val_index in kf.split(X_train):
X_train_kf, X_val_kf = X_train[train_index], X_train[val_index]
y_train_kf, y_val_kf = y_train[train_index], y_train[val_index]
# 训练逻辑回归模型,设置 batch size
weights = train_logreg(X_train_kf, y_train_kf, learning_rate=0.1, iterations=2000, lambda_reg=0.01, batch_size=32)
# 验证模型
val_accuracy = accuracy(X_val_kf, y_val_kf, weights)
accuracies.append(val_accuracy)
# 输出交叉验证的准确率和平均准确率
print(f"K折交叉验证得分: {accuracies}") print(f"K折交叉验证得分: {accuracies}")
print(f"平均准确率: {np.mean(accuracies):.4f}") print(f"平均准确率: {np.mean(accuracies):.4f}")
# 加载测试集 X_test, y_test = load_data("./data/horse-colic.test")
X_test, y_test = load_data("./horse-colic.test") final_weights = train_logreg(X_train, y_train, batch_size=32)
# 在测试集上评估最终模型
final_weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000, lambda_reg=0.01, batch_size=32)
test_accuracy = accuracy(X_test, y_test, final_weights) test_accuracy = accuracy(X_test, y_test, final_weights)
print(f"测试集的准确率: {test_accuracy:.4f}") print(f"测试集的准确率: {test_accuracy:.4f}")
# 测试单个数据 # 测试单个数据
y_pred = predict_logreg(X_test[11], final_weights) y_pred = predict_logreg(X_test[11], final_weights)
print(f"预测结果: {y_pred}, 实际结果: {y_test[11]}") print(f"预测结果: {y_pred}, 实际结果: {y_test[11]}")