更新 function.py
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2024-11-02 15:42:13 +08:00
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commit db5178ef3c
+69 -70
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@@ -1,54 +1,90 @@
import numpy as np
import pandas as pd
from sklearn.preprocessing import StandardScaler
from sklearn.model_selection import train_test_split, KFold
"""
实验说明:
- 自行编写实现数据加载与预测病马死亡的对率回归算法。
注意事项:
- 在 function.py 中实现对率回归算法。
- 可以自行导入其他库,需要在 requirements.txt 添加依赖,若未在 requirements.txt 中添加使用到的依赖,则无法自动评测,成绩为零。
- 自动评测脚本仅会加载 train_logreg、predict_logreg 和 load_data 函数,请勿修改函数名。
测评环境:
- CPU: Intel Xeon(R) CPU E3-1231 v3 @ 3.40GHz
- OS: Ubuntu 22.04.4 LTS
- Python: 3.10.12
- numpy: 2.1.1
"""
# 请在这里填写学号和姓名,不填写即成绩无效。
id = "202210423130"
name = "董秋"
def sigmoid(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):
"""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。"""
def train_logreg(X, y, learning_rate=0.01, iterations=1000, lambda_reg=0.01):
"""
对率回归训练函数。
Args:
- X (numpy array): 特征数据。
- y (numpy array): 标签数据。
- learning_rate (float): 学习率。
- iterations (int): 迭代次数。
- lambda_reg (float): L2正则化参数。
Returns:
- numpy array: 训练得到的权重。
"""
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 # 随机初始化权重
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 _ in range(iterations):
z = np.dot(X, weights)
predictions = sigmoid(z)
gradient = np.dot(X.T, (predictions - y)) / m
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]
# L2正则化
gradient += (lambda_reg / m) * weights
z = np.dot(X_batch, weights)
predictions = sigmoid(z)
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
# 动态调整学习率,逐渐减小
if i % 100 == 0: # 每100次迭代输出一次学习率
print(f"Iteration {i}, Learning Rate: {learning_rate}")
# 更新权重
weights -= learning_rate * gradient
return weights
def predict_logreg(inX, weights):
"""逻辑回归预测函数。"""
"""
对率回归预测函数。
Args:
- inX (numpy array): 输入待分类的样本。
- weights (numpy array): 训练得到的权重。
Returns:
- int: 预测的分类标签。
"""
z = np.dot(inX, weights)
prediction_prob = sigmoid(z)
return 1 if prediction_prob >= 0.5 else 0
def load_data(filepath):
"""加载数据并处理缺失值。"""
"""
从文件中加载数据,若不自行正确实现,则无法通过评测,**不记录成绩**。
Args:
- directory (str): 数据文件路径。
Returns:
- np.array: 特征数据。
- np.array: 标签数据。
"""
data = []
labels = []
@@ -57,7 +93,7 @@ def load_data(filepath):
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
@@ -65,62 +101,25 @@ def load_data(filepath):
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)
labels = np.array(labels)
return np.array(data), np.array(labels)
return data, labels
def preprocess_data(X):
"""特征标准化。"""
scaler = StandardScaler()
return scaler.fit_transform(X)
if __name__ == "__main__":
# 以下代码可用于测试,可自行随意修改
# 加载训练集
X_train, y_train = load_data("./data/horse-colic.data")
# 归一化训练集
X_train = preprocess_data(X_train)
# 加载测试集
X_test, y_test = load_data("./data/horse-colic.test")
# 归一化测试集
X_test = preprocess_data(X_test)
# 使用 train_test_split 打乱并随机抽取数据
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
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)}")
# 训练逻辑回归模型
# 训练对率回归模型
weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000)
# 测试单个数据