更新 function.py
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2024-11-02 23:16:44 +08:00
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@@ -1,9 +1,10 @@
# function.py # function.py
import numpy as np import numpy as np
import pandas as pd import pandas as pd
from sklearn.model_selection import train_test_split, KFold
from sklearn.preprocessing import MinMaxScaler
from sklearn.impute import SimpleImputer from sklearn.impute import SimpleImputer
from sklearn.preprocessing import StandardScaler from sklearn.preprocessing import StandardScaler
from sklearn.model_selection import train_test_split
from sklearn.metrics import accuracy_score, classification_report from sklearn.metrics import accuracy_score, classification_report
""" """
@@ -31,88 +32,105 @@ name = "严锡好"
# 这里写自己的代码实现 # 这里写自己的代码实现
# Sigmoid函数,用于逻辑回归模型
def sigmoid(z): def sigmoid(z):
return 1.0 / (1 + np.exp(-z)) return 1.0 / (1 + np.exp(-z))
# 计算梯度,用于逻辑回归的梯度下降算法
def compute_gradient(X_batch, y_batch, weights, lambda_reg): def compute_gradient(X_batch, y_batch, weights, lambda_reg):
z = np.dot(X_batch, weights) z = np.dot(X_batch, weights) # 计算z值
h = sigmoid(z) h = sigmoid(z) # 计算sigmoid函数值
gradient = np.dot(X_batch.T, (h - y_batch)) / len(y_batch) gradient = np.dot(X_batch.T, (h - y_batch)) / len(y_batch) # 计算梯度
gradient += (lambda_reg / len(y_batch)) * weights gradient += (lambda_reg / len(y_batch)) * weights # 添加L2正则化项
return gradient return gradient
# Adam优化器更新函数 # Adam优化器更新函数
def adam_update(grad, m, v, t, lr=0.001, beta1=0.9, beta2=0.999, epsilon=1e-8): def adam_update(grad, m, v, t, lr=0.001, beta1=0.9, beta2=0.999, epsilon=1e-8):
m = beta1 * m + (1 - beta1) * grad m = beta1 * m + (1 - beta1) * grad # 更新一阶矩估计
v = beta2 * v + (1 - beta2) * (grad ** 2) v = beta2 * v + (1 - beta2) * (grad ** 2) # 更新二阶矩估计
m_hat = m / (1 - beta1 ** t) m_hat = m / (1 - beta1 ** t) # 计算偏差校正的一阶矩
v_hat = v / (1 - beta2 ** t) v_hat = v / (1 - beta2 ** t) # 计算偏差校正的二阶矩
return lr * m_hat / (np.sqrt(v_hat) + epsilon), m, v return lr * m_hat / (np.sqrt(v_hat) + epsilon), m, v # 返回更新步长和更新后的一阶矩和二阶矩
# 训练逻辑回归模型,使用Adam优化器
def train_logreg(X, y, learning_rate=0.001, iterations=10000, batch_size=64, lambda_reg=0.1): def train_logreg(X, y, learning_rate=0.001, iterations=10000, batch_size=64, lambda_reg=0.1):
m, n = X.shape m, n = X.shape # 获取样本数量和特征数量
weights = np.random.randn(n) * np.sqrt(2. / n) weights = np.random.randn(n) * np.sqrt(2. / n) # 使用He初始化权重
m_t, v_t = np.zeros(n), np.zeros(n) m_t, v_t = np.zeros(n), np.zeros(n) # 初始化Adam优化器的一阶矩和二阶矩
best_weights = weights.copy() best_weights = weights.copy() # 存储最佳权重
best_accuracy = 0 best_accuracy = 0 # 存储最佳准确率
for epoch in range(iterations): for epoch in range(iterations): # 迭代指定次数
indices = np.random.permutation(m) indices = np.random.permutation(m) # 随机打乱数据
X_shuffled, y_shuffled = X[indices], y[indices] X_shuffled, y_shuffled = X[indices], y[indices] # 打乱特征和标签
for j in range(0, m, batch_size): for j in range(0, m, batch_size): # 按批次处理数据
X_batch, y_batch = X_shuffled[j:j + batch_size], y_shuffled[j:j + batch_size] X_batch, y_batch = X_shuffled[j:j + batch_size], y_shuffled[j:j + batch_size] # 获取当前批次的特征和标签
grad = compute_gradient(X_batch, y_batch, weights, lambda_reg) grad = compute_gradient(X_batch, y_batch, weights, lambda_reg) # 计算梯度
update, m_t, v_t = adam_update(grad, m_t, v_t, epoch + 1, learning_rate) update, m_t, v_t = adam_update(grad, m_t, v_t, epoch + 1, learning_rate) # 使用Adam优化器更新权重
weights -= update weights -= update # 更新权重
train_accuracy = accuracy(X, y, weights) train_accuracy = accuracy(X, y, weights) # 计算训练集准确率
if train_accuracy > best_accuracy: if train_accuracy > best_accuracy: # 如果当前准确率更高,则更新最佳权重和准确率
best_accuracy = train_accuracy best_accuracy = train_accuracy
best_weights = weights.copy() best_weights = weights.copy()
if epoch % 100 == 0 and train_accuracy > 0.95: if epoch % 100 == 0 and train_accuracy > 0.95: # 每100次迭代检查一次,如果准确率超过0.95,则减小学习率
learning_rate *= 0.9 learning_rate *= 0.9
return best_weights return best_weights
# 预测函数,用于逻辑回归模型
def predict_logreg(X, weights): def predict_logreg(X, weights):
z = np.dot(X, weights) z = np.dot(X, weights) # 计算z值
h = sigmoid(z) h = sigmoid(z) # 计算sigmoid函数值
return np.where(h >= 0.5, 1, 0) return np.where(h >= 0.5, 1, 0) # 返回预测结果
# 加载数据函数
def load_data(filepath): def load_data(filepath):
data, labels = [], [] data, labels = [], []
with open(filepath, 'r') as f: with open(filepath, 'r') as f: # 打开文件
for line in f: for line in f: # 逐行读取
line = line.strip().split() line = line.strip().split() # 去除空格并分割
if len(line) >= 1 and line[-1].isdigit(): if len(line) >= 1 and line[-1].isdigit(): # 确保行数据有效
line_data = [0 if x == '?' else float(x) for x in line[:-1]] line_data = [0 if x == '?' else float(x) for x in line[:-1]] # 将非数字替换为0并转换为浮点数
data.append(line_data) data.append(line_data)
labels.append(int(line[-1])) labels.append(int(line[-1])) # 将标签转换为整数
data, labels = np.array(data), np.array(labels) data, labels = np.array(data), np.array(labels) # 转换为numpy数组
indices_to_delete = [2] + (list(range(24, 27)) if data.shape[1] > 24 else [])
# 特征选择:去掉特征3(索引2)和特征24~28(索引23~26),确保索引有效
indices_to_delete = [2] # 特征3
if data.shape[1] > 24: # 确保特征数量足够
indices_to_delete += list(range(24, 27)) # 特征24到27(索引23到26)
# 删除特征
data = np.delete(data, indices_to_delete, axis=1) data = np.delete(data, indices_to_delete, axis=1)
# 将标签二分类化,特征23(索引22)取值2和3合并为0,其余为1
target_variable = np.where((labels == 2) | (labels == 3), 0, 1) target_variable = np.where((labels == 2) | (labels == 3), 0, 1)
return data, target_variable return data, target_variable
# 计算准确率函数
def accuracy(X, y, weights): def accuracy(X, y, weights):
predictions = predict_logreg(X, weights) predictions = predict_logreg(X, weights) # 预测结果
return np.mean(predictions == y) return np.mean(predictions == y) # 计算准确率
# 主函数
if __name__ == "__main__": if __name__ == "__main__":
X, y = load_data("./data/horse-colic.data") X, y = load_data("./data/horse-colic.data") # 加载数据
X_train, X_val, y_train, y_val = train_test_split(X, y, test_size=0.2, random_state=42) X_train, X_val, y_train, y_val = train_test_split(X, y, test_size=0.2, random_state=42) # 拆分训练集和验证集
scaler = MinMaxScaler() scaler = MinMaxScaler() # 初始化归一化对象
X_train, X_val = scaler.fit_transform(X_train), scaler.transform(X_val) X_train = scaler.fit_transform(X_train) # 训练集归一化
X_val = scaler.transform(X_val) # 验证集归一化
final_weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=5000, batch_size=64, lambda_reg=0.1) final_weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=5000, batch_size=64, lambda_reg=0.1) # 训练模型
val_accuracy = accuracy(X_val, y_val, final_weights) val_accuracy = accuracy(X_val, y_val, final_weights) # 验证模型
print(f"验证集的准确率: {val_accuracy:.4f}") print(f"验证集的准确率: {val_accuracy:.4f}") # 打印验证集准确率
X_test, y_test = load_data("./data/horse-colic.test") X_test, y_test = load_data("./data/horse-colic.test") # 加载测试集
X_test = scaler.transform(X_test) X_test = scaler.transform(X_test) # 测试集归一化
final_test_accuracy = accuracy(X_test, y_test, final_weights) final_test_accuracy = accuracy(X_test, y_test, final_weights) # 测试模型
print(f"最终测试集的准确率: {final_test_accuracy:.4f}") print(f"最终测试集的准确率: {final_test_accuracy:.4f}") # 打印测试集准确率