更新 function.py
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@@ -27,169 +27,100 @@ name = "章程鸿"
# 这里写自己的代码实现
import numpy as np
import pandas as pd
from sklearn.preprocessing import StandardScaler
from sklearn.model_selection import train_test_split, KFold, GridSearchCV
from sklearn.linear_model import LogisticRegression
from sklearn.metrics import confusion_matrix, precision_score, recall_score, f1_score
import warnings
warnings.filterwarnings("ignore")
from sklearn.preprocessing import StandardScaler, MinMaxScaler
from sklearn.model_selection import train_test_split
def sigmoid(z):
"""Sigmoid 激活函数。"""
return 1 / (1 + np.exp(-z))
def train_logreg(X, y, learning_rate=0.01, iterations=5000, 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。"""
m, n = X.shape
weights = np.random.randn(n) * 0.01 # 随机初始化权重,取较小值
for i in range(iterations):
# 每次迭代打乱数据
indices = np.random.permutation(m)
X = X[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]
return 1.0 / (1 + np.exp(-z))
def compute_gradient(X_batch, y_batch, weights, lambda_reg):
z = np.dot(X_batch, weights)
predictions = sigmoid(z)
gradient = np.dot(X_batch.T, (predictions - y_batch)) / X_batch.shape[0]
h = sigmoid(z)
gradient = np.dot(X_batch.T, (h - y_batch)) / len(y_batch)
# 添加L2正则化
gradient += (lambda_reg / len(y_batch)) * weights
return gradient
# L2 正则化
gradient += (lambda_reg / m) * weights
def train_logreg(X, y, learning_rate=0.01, iterations=5000, batch_size=64, lambda_reg=0.01):
m, n = X.shape
weights = np.random.randn(n) * 0.01
best_weights = weights.copy()
best_accuracy = 0
# 更新权重
for _ 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]
gradient = compute_gradient(X_batch, y_batch, weights, lambda_reg)
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()
# 动态调整学习率
if i % 1000 == 0: # 每 1000 次迭代调整一次学习率
learning_rate *= 0.9 # 每 1000 次迭代减小学习率
if _ % 100 == 0 and train_accuracy > 0.95: # 达到高准确率时减小学习率
learning_rate *= 0.9
if i % 100 == 0: # 每 100 次迭代输出一次学习率
print(f"Iteration {i}, Learning Rate: {learning_rate}")
return best_weights
return weights
def predict_logreg(inX, weights):
"""逻辑回归预测函数。"""
z = np.dot(inX, weights)
prediction_prob = sigmoid(z)
return 1 if prediction_prob >= 0.5 else 0
def predict_logreg(X, weights):
z = np.dot(X, weights)
h = sigmoid(z)
return np.where(h >= 0.5, 1, 0)
def load_data(filepath):
"""加载数据并处理缺失值。"""
data = []
labels = []
data, labels = [], []
with open(filepath, 'r') as f:
for line in f:
values = line.strip().replace('?', '0').split()
try:
values = [float(v) for v in values]
# 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
# 用均值填充缺失值
values = [np.nan if v == 0 else v for v in values]
nan_indices = np.isnan(values)
column_means = np.nanmean(np.array(data), axis=0)
for i, is_nan in enumerate(nan_indices):
if is_nan:
values[i] = column_means[i]
data.append(values[:2] + values[3:23]) # 保留特征 1, 2 和特征 4 - 23
except ValueError:
continue
line = line.strip().split()
if len(line) >= 1 and line[-1].isdigit():
line_data = [0 if x == '?' else float(x) for x in line[:-1]]
data.append(line_data)
labels.append(int(line[-1]))
data = np.array(data)
labels = np.array(labels)
target_variable = np.where((labels == 2) | (labels == 3), 0, labels)
return data, labels
return data, target_variable
def preprocess_data(X):
"""特征标准化。"""
scaler = StandardScaler()
return scaler.fit_transform(X)
def accuracy(X, y, weights):
predictions = predict_logreg(X, weights)
return np.mean(predictions == y)
if __name__ == "__main__":
# 加载训练集
X_train, y_train = load_data("./data/horse-colic.data")
# 加载数据
X, y = load_data("./data/horse-colic.data")
# 拆分训练集和验证集
X_train, X_val, y_train, y_val = train_test_split(X, y, test_size=0.2, random_state=42)
# 数据归一化
scaler = MinMaxScaler()
X_train = scaler.fit_transform(X_train)
X_val = scaler.transform(X_val)
# 训练模型
final_weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=5000, batch_size=64, lambda_reg=0.1)
# 验证模型
val_accuracy = accuracy(X_val, y_val, final_weights)
print(f"验证集的准确率: {val_accuracy:.4f}")
# 加载测试集
X_test, y_test = load_data("./data/horse-colic.test")
X_test = scaler.transform(X_test)
# 归一化数据
X_train = preprocess_data(X_train)
X_test = preprocess_data(X_test)
# 超参数搜索空间
param_grid = {
'learning_rate': [0.001, 0.01, 0.1],
'iterations': [3000, 5000, 7000],
'lambda_reg': [0.001, 0.01, 0.1],
'batch_size': [16, 32, 64]
}
# K 折交叉验证
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]
best_params = None
best_score = 0
for params in GridSearchCV(estimator=LogisticRegression(), param_grid=param_grid, scoring='accuracy', cv=3).fit(X_train_kf, y_train_kf).cv_results_['params']:
weights = train_logreg(X_train_kf, y_train_kf, learning_rate=params['learning_rate'], iterations=params['iterations'], lambda_reg=params['lambda_reg'], batch_size=params['batch_size'])
val_predictions = [predict_logreg(X_val_kf[i], weights) for i in range(len(X_val_kf))]
score = np.mean(val_predictions == y_val_kf)
if score > best_score:
best_score = score
best_params = params
print(f"Best parameters for fold: {best_params}")
# 使用最佳参数重新训练
weights = train_logreg(X_train_kf, y_train_kf, learning_rate=best_params['learning_rate'], iterations=best_params['iterations'], lambda_reg=best_params['lambda_reg'], batch_size=best_params['batch_size'])
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)}")
# 在测试集上测试模型
best_params = None
best_score = 0
for params in GridSearchCV(estimator=LogisticRegression(), param_grid=param_grid, scoring='accuracy', cv=3).fit(X_train, y_train).cv_results_['params']:
weights = train_logreg(X_train, y_train, learning_rate=params['learning_rate'], iterations=params['iterations'], lambda_reg=params['lambda_reg'], batch_size=params['batch_size'])
test_predictions = [predict_logreg(X_test[i], weights) for i in range(len(X_test))]
score = np.mean(test_predictions == y_test)
if score > best_score:
best_score = score
best_params = params
print(f"Best parameters for test set: {best_params}")
weights = train_logreg(X_train, y_train, learning_rate=best_params['learning_rate'], iterations=best_params['iterations'], lambda_reg=best_params['lambda_reg'], batch_size=best_params['batch_size'])
test_predictions = [predict_logreg(X_test[i], weights) for i in range(len(X_test))]
test_accuracy = np.mean(test_predictions == y_test)
print(f"测试集准确率: {test_accuracy}")
# 测试模型
final_test_accuracy = accuracy(X_test, y_test, final_weights)
print(f"最终测试集的准确率: {final_test_accuracy:.4f}")