generated from LufsX/Experiment-LogReg
This commit is contained in:
+22
-96
@@ -1,137 +1,63 @@
|
|||||||
import numpy as np
|
import numpy as np
|
||||||
from sklearn.impute import SimpleImputer
|
from sklearn.impute import SimpleImputer
|
||||||
from sklearn.feature_selection import SelectKBest, mutual_info_classif
|
from sklearn.feature_selection import SelectKBest, f_classif
|
||||||
from sklearn.preprocessing import RobustScaler
|
|
||||||
|
|
||||||
# 填写学号和姓名
|
# 填写学号和姓名
|
||||||
id = "202210423213"
|
id = "202210423213"
|
||||||
name = "熊浩燃"
|
name = "熊浩燃"
|
||||||
|
|
||||||
def load_data(filepath, k_features=20):
|
def load_data(filepath, k_features=20):
|
||||||
"""
|
data, labels = [], []
|
||||||
从文件中加载数据并进行预处理,包括缺失值填充和特征选择。
|
|
||||||
|
|
||||||
Args:
|
|
||||||
- filepath (str): 数据文件路径。
|
|
||||||
- k_features (int): 选择的特征数量。
|
|
||||||
|
|
||||||
Returns:
|
|
||||||
- np.array: 特征数据。
|
|
||||||
- np.array: 标签数据。
|
|
||||||
"""
|
|
||||||
data = []
|
|
||||||
labels = []
|
|
||||||
with open(filepath, 'r') as file:
|
with open(filepath, 'r') as file:
|
||||||
for line in file:
|
for line in file:
|
||||||
line = line.strip().split()
|
line = line.strip().split()
|
||||||
if line:
|
if line:
|
||||||
features = []
|
features = [float(feature) if feature.replace('.', '', 1).isdigit() else np.nan for feature in line[:-1]]
|
||||||
for feature in line[:-1]: # 最后一个元素是标签
|
|
||||||
try:
|
|
||||||
features.append(float(feature))
|
|
||||||
except ValueError:
|
|
||||||
features.append(np.nan) # 用 NaN 表示缺失值
|
|
||||||
label = int(line[-1])
|
label = int(line[-1])
|
||||||
data.append(features)
|
data.append(features)
|
||||||
labels.append(label)
|
labels.append(label)
|
||||||
|
|
||||||
# 转换为 numpy 数组
|
data, labels = np.array(data), np.array(labels)
|
||||||
data = np.array(data)
|
imputer = SimpleImputer(strategy='mean')
|
||||||
labels = np.array(labels)
|
|
||||||
|
|
||||||
# 使用SimpleImputer填充NaN
|
|
||||||
imputer = SimpleImputer(strategy='median')
|
|
||||||
data = imputer.fit_transform(data)
|
data = imputer.fit_transform(data)
|
||||||
|
|
||||||
|
mean, std_dev = data.mean(axis=0), data.std(axis=0)
|
||||||
|
std_dev[std_dev == 0] = 1
|
||||||
|
data = (data - mean) / std_dev
|
||||||
|
|
||||||
# 使用RobustScaler进行数据标准化,减少异常值的影响
|
selector = SelectKBest(f_classif, k=k_features)
|
||||||
scaler = RobustScaler()
|
|
||||||
data = scaler.fit_transform(data)
|
|
||||||
|
|
||||||
# 特征选择,使用互信息
|
|
||||||
selector = SelectKBest(mutual_info_classif, k=k_features)
|
|
||||||
data = selector.fit_transform(data, labels)
|
data = selector.fit_transform(data, labels)
|
||||||
|
|
||||||
return data, labels
|
return data, labels
|
||||||
|
|
||||||
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, initial_lr=0.01, iterations=5000, regularization=0.02, decay=0.00005, patience=200):
|
def train_logreg(X, y, initial_lr=0.005, iterations=5000, regularization=0.01, decay=0.0001):
|
||||||
"""
|
|
||||||
对率回归训练函数,包含学习率衰减和早停机制。
|
|
||||||
|
|
||||||
Args:
|
|
||||||
- X (numpy array): 特征数据。
|
|
||||||
- y (numpy array): 标签数据。
|
|
||||||
- initial_lr (float): 初始学习率。
|
|
||||||
- iterations (int): 迭代次数。
|
|
||||||
- regularization (float): 正则化强度。
|
|
||||||
- decay (float): 学习率衰减系数。
|
|
||||||
- patience (int): 早停的等待次数。
|
|
||||||
|
|
||||||
Returns:
|
|
||||||
- numpy array: 训练得到的权重。
|
|
||||||
"""
|
|
||||||
m, n = X.shape
|
m, n = X.shape
|
||||||
weights = np.zeros(n)
|
weights = np.zeros(n)
|
||||||
best_loss = float('inf')
|
learning_rate = initial_lr
|
||||||
stop_counter = 0
|
|
||||||
|
|
||||||
for i in range(iterations):
|
for i in range(iterations):
|
||||||
# 前向传播和损失计算
|
predictions = sigmoid(np.dot(X, weights))
|
||||||
z = np.dot(X, weights)
|
|
||||||
predictions = sigmoid(z)
|
|
||||||
loss = -np.mean(y * np.log(predictions + 1e-9) + (1 - y) * np.log(1 - predictions + 1e-9)) + regularization * np.sum(weights ** 2) / (2 * m)
|
|
||||||
|
|
||||||
# 早停机制
|
|
||||||
if loss < best_loss:
|
|
||||||
best_loss = loss
|
|
||||||
stop_counter = 0
|
|
||||||
else:
|
|
||||||
stop_counter += 1
|
|
||||||
if stop_counter >= patience:
|
|
||||||
print("早停:在第 {} 轮迭代停止".format(i))
|
|
||||||
break
|
|
||||||
|
|
||||||
# 反向传播更新权重
|
|
||||||
errors = y - predictions
|
errors = y - predictions
|
||||||
gradient = np.dot(X.T, errors) / m - regularization * weights / m
|
gradient = (np.dot(X.T, errors) - regularization * weights) / m
|
||||||
weights += initial_lr * gradient / (1 + decay * i) # 学习率衰减
|
weights += learning_rate * gradient
|
||||||
|
learning_rate = initial_lr / (1 + decay * i)
|
||||||
|
|
||||||
return weights
|
return weights
|
||||||
|
|
||||||
def predict_logreg(inX, weights, threshold=0.5):
|
def predict_logreg(X, weights, threshold=0.5):
|
||||||
"""
|
probabilities = sigmoid(np.dot(X, weights))
|
||||||
对率回归预测函数,包含可调阈值。
|
return (probabilities >= threshold).astype(int)
|
||||||
|
|
||||||
Args:
|
|
||||||
- inX (numpy array): 输入待分类的样本。
|
|
||||||
- weights (numpy array): 训练得到的权重。
|
|
||||||
- threshold (float): 判定阈值,默认为0.5。
|
|
||||||
|
|
||||||
Returns:
|
|
||||||
- int: 预测的分类标签。
|
|
||||||
"""
|
|
||||||
probability = sigmoid(np.dot(inX, weights))
|
|
||||||
return 1 if probability >= threshold else 2
|
|
||||||
|
|
||||||
# 测试代码
|
# 测试代码
|
||||||
if __name__ == "__main__":
|
if __name__ == "__main__":
|
||||||
# 加载数据并选择前20个最重要的特征
|
|
||||||
X_train, y_train = load_data("./data/horse-colic.data", k_features=20)
|
X_train, y_train = load_data("./data/horse-colic.data", k_features=20)
|
||||||
X_test, y_test = load_data("./data/horse-colic.test", k_features=20)
|
X_test, y_test = load_data("./data/horse-colic.test", k_features=20)
|
||||||
|
|
||||||
# 训练模型
|
weights = train_logreg(X_train, y_train, initial_lr=0.005, iterations=5000, regularization=0.01, decay=0.0001)
|
||||||
weights = train_logreg(X_train, y_train, initial_lr=0.01, iterations=5000, regularization=0.02, decay=0.00005, patience=200)
|
|
||||||
|
|
||||||
# 模型评估
|
y_pred = predict_logreg(X_test, weights, threshold=0.5)
|
||||||
correct_predictions = 0
|
accuracy = np.mean(y_pred == y_test)
|
||||||
for i in range(len(X_test)):
|
|
||||||
y_pred = predict_logreg(X_test[i], weights, threshold=0.5)
|
|
||||||
if y_pred == y_test[i]:
|
|
||||||
correct_predictions += 1
|
|
||||||
print(f"预测结果: {y_pred}, 实际结果: {y_test[i]}")
|
|
||||||
|
|
||||||
accuracy = correct_predictions / len(X_test)
|
|
||||||
print(f"测试集准确率: {accuracy:.2f}")
|
print(f"测试集准确率: {accuracy:.2f}")
|
||||||
|
|||||||
Reference in New Issue
Block a user