更新 function.py
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2024-11-02 14:34:57 +08:00
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@@ -26,85 +26,121 @@ name = "邓龙树"
# user_cod # user_cod
import numpy as np import numpy as np
import pandas as pd
from sklearn.preprocessing import StandardScaler from sklearn.preprocessing import StandardScaler
from sklearn.model_selection import train_test_split, KFold
id = "202210423130"
name = "董秋"
def sigmoid(z): def sigmoid(z):
return 1.0 / (1 + np.exp(-z)) """Sigmoid 激活函数。"""
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=0.05, iterations=1500, batch_size=64): """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。"""
m, n = X.shape m, n = X.shape
weights = np.random.randn(n) * 0.01 weights = np.random.randn(n) * 0.01 # 随机初始化权重,取较小值
best_weights = weights.copy()
best_accuracy = 0
wait = 0
for i in range(iterations): for i 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 = X[indices]
y_shuffled = y[indices] y = y[indices]
for j in range(0, m, batch_size): # 按照 batch size 迭代
X_batch = X[j:j + batch_size]
y_batch = y[j:j + batch_size]
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) z = np.dot(X_batch, weights)
h = sigmoid(z) predictions = sigmoid(z)
gradient = np.dot(X_batch.T, (h - y_batch)) / len(y_batch) gradient = np.dot(X_batch.T, (predictions - y_batch)) / X_batch.shape[0]
# L2正则化
gradient += (lambda_reg / m) * weights
# 更新权重
weights -= learning_rate * gradient weights -= learning_rate * gradient
# 计算训练集准确率 # 动态调整学习率,逐渐减小
train_accuracy = accuracy(X, y, weights) if i % 100 == 0: # 每100次迭代输出一次学习率
if train_accuracy > best_accuracy: print(f"Iteration {i}, Learning Rate: {learning_rate}")
best_accuracy = train_accuracy
best_weights = weights.copy()
wait = 0
else:
wait += 1
return best_weights return weights
def predict_logreg(inX, weights):
def predict_logreg(X, weights): """逻辑回归预测函数。"""
z = np.dot(X, weights) z = np.dot(inX, weights)
h = sigmoid(z) prediction_prob = sigmoid(z)
return np.where(h > 0.5, 1, 0) return 1 if prediction_prob >= 0.5 else 0
def load_data(filepath): def load_data(filepath):
"""加载数据并处理缺失值。"""
data = [] data = []
labels = [] labels = []
with open(filepath, 'r') as f: with open(filepath, 'r') as f:
for line in f: for line in f:
line = line.strip().split() values = line.strip().replace('?', '0').split()
if len(line) >= 1 and line[-1].isdigit(): try:
line_data = [0 if x == '?' else float(x) for x in line[:-1]] values = [float(v) for v in values]
data.append(line_data)
labels.append(int(line[-1])) # 合并特征23的取值
if values[22] == 2 or values[22] == 3: # 特征23(索引22)
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
values = [0 if v == 0 else v for v in values] # 直接用0填充
data.append(values[:2] + values[3:23]) # 保留特征1, 2 和特征4-23
except ValueError:
continue
data = np.array(data) data = np.array(data)
labels = np.array(labels) labels = np.array(labels)
target_variable = np.where((labels == 2) | (labels == 3), 0, labels) return data, labels
return data, target_variable
def accuracy(X, y, weights):
predictions = predict_logreg(X, weights)
return np.mean(predictions == y)
def preprocess_data(X):
"""特征标准化。"""
scaler = StandardScaler()
return scaler.fit_transform(X)
if __name__ == "__main__": if __name__ == "__main__":
X_train, y_train = load_data("./horse-colic.data") # 加载数据集
X_test, y_test = load_data("./horse-colic.test") X, y = load_data("./data/horse-colic.data")
# 标准化数据 # 归一化数据
scaler = StandardScaler() X = preprocess_data(X)
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) # 使用 train_test_split 打乱并随机抽取数据
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)
final_accuracy = accuracy(X_test, y_test, final_weights) # K折交叉验证
print(f"最终测试集的准确率: {final_accuracy:.4f}") k = 5
kf = KFold(n_splits=k, shuffle=True, random_state=42)
accuracies = []
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
batch_size = 32
weights = train_logreg(X_train_kf, y_train_kf, learning_rate=0.1, iterations=2000, lambda_reg=0.01, batch_size=batch_size)
# 验证模型
val_predictions = [predict_logreg(X_val_kf[i], weights) for i in range(len(X_val_kf))]
accuracy = np.mean(val_predictions == y_val_kf)
accuracies.append(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"平均准确率: {np.mean(accuracies)}")
# 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]}")