generated from LufsX/Experiment-LogReg
This commit is contained in:
+89
-115
@@ -26,118 +26,92 @@ name = "廖运瑞"
|
||||
|
||||
|
||||
# 这里写自己的代码实现
|
||||
import numpy as np
|
||||
from sklearn.preprocessing import MinMaxScaler
|
||||
from sklearn.model_selection import train_test_split
|
||||
|
||||
|
||||
def sigmoid(z):
|
||||
return 1.0 / (1 + np.exp(-z))
|
||||
|
||||
|
||||
def compute_gradient(X_batch, y_batch, weights, lambda_reg):
|
||||
z = np.dot(X_batch, weights)
|
||||
h = sigmoid(z)
|
||||
gradient = np.dot(X_batch.T, (h - y_batch)) / len(y_batch)
|
||||
gradient += (lambda_reg / len(y_batch)) * weights # L2正则化
|
||||
return gradient
|
||||
|
||||
|
||||
def train_logreg(X, y, learning_rate=0.001, iterations=10000, batch_size=64, lambda_reg=0.1):
|
||||
m, n = X.shape
|
||||
weights = np.random.randn(n) * np.sqrt(2. / n) # He初始化
|
||||
best_weights = weights.copy()
|
||||
best_accuracy = 0
|
||||
|
||||
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 _ % 100 == 0 and train_accuracy > 0.95: # 达到高准确率时减小学习率
|
||||
learning_rate *= 0.9
|
||||
|
||||
return best_weights
|
||||
|
||||
|
||||
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):
|
||||
data, labels = [], []
|
||||
with open(filepath, 'r') as f:
|
||||
for line in f:
|
||||
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)
|
||||
|
||||
# 检查特征数量
|
||||
num_features = data.shape[1]
|
||||
|
||||
# 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 num_features > 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)
|
||||
|
||||
# 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)
|
||||
|
||||
return data, target_variable
|
||||
|
||||
|
||||
def accuracy(X, y, weights):
|
||||
predictions = predict_logreg(X, weights)
|
||||
return np.mean(predictions == y)
|
||||
|
||||
|
||||
# 其余代码保持不变
|
||||
if __name__ == "__main__":
|
||||
# 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)
|
||||
|
||||
# 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}")
|
||||
def train_logreg(X, y, learning_rate=0.01, iterations=1000):
|
||||
"""
|
||||
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,默认为0.01。
|
||||
- iterations (int): 迭代次数,默认为1000。
|
||||
|
||||
Returns:
|
||||
- numpy array: 训练得到的权重。
|
||||
"""
|
||||
m, n = X.shape
|
||||
weights = np.zeros(n)
|
||||
bias = 0 # 偏置项,可以合并到权重中处理,但这里单独处理
|
||||
|
||||
for _ in range(iterations):
|
||||
output = sigmoid(np.dot(X, weights) + bias)
|
||||
error = y - output
|
||||
weights += learning_rate * np.dot(X.T, error) / m
|
||||
bias += learning_rate * np.sum(error) / m
|
||||
|
||||
# 如果需要返回偏置项,可以将其添加到权重数组的前面或作为单独的返回值
|
||||
# 这里为了与predict_logreg函数接口一致,我们选择不直接修改weights数组
|
||||
return weights, bias
|
||||
|
||||
def predict_logreg(inX, weights, bias=0):
|
||||
"""
|
||||
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。
|
||||
- bias (float): 训练得到的偏置项,默认为0。
|
||||
|
||||
Returns:
|
||||
- int: 预测的分类标签(0或1)。
|
||||
"""
|
||||
z = np.dot(inX, weights) + bias
|
||||
return 1 if sigmoid(z) >= 0.5 else 0
|
||||
|
||||
def sigmoid(z):
|
||||
"""
|
||||
Sigmoid激活函数。
|
||||
|
||||
Args:
|
||||
- z (float or numpy array): 输入值。
|
||||
|
||||
Returns:
|
||||
- float or numpy array: Sigmoid输出值。
|
||||
"""
|
||||
return 1 / (1 + np.exp(-z))
|
||||
|
||||
def load_data(filepath):
|
||||
"""
|
||||
从文件中加载数据。
|
||||
|
||||
Args:
|
||||
- filepath (str): 数据文件路径。
|
||||
|
||||
Returns:
|
||||
- np.array: 特征数据。
|
||||
- np.array: 标签数据。
|
||||
"""
|
||||
data = np.loadtxt(filepath, delimiter=' ')
|
||||
X = data[:, 1:] # 特征数据,假设从第二列开始
|
||||
y = data[:, 0] # 标签数据,假设在第一列
|
||||
return X, y.astype(int) # 确保标签为整数类型
|
||||
|
||||
if __name__ == "__main__":
|
||||
# 加载训练集
|
||||
X_train, y_train = load_data("./data/horse-colic.data")
|
||||
|
||||
# 为了处理偏置项,我们在X_train中添加一列全为1的列(或者使用上面的bias参数)
|
||||
# 但为了与train_logreg函数接口一致,这里我们选择使用bias参数
|
||||
# 如果选择将偏置项合并到权重中,则应该这样处理:
|
||||
# X_train_with_bias = np.c_[np.ones((X_train.shape[0], 1)), X_train]
|
||||
# 并相应地修改train_logreg函数和predict_logreg函数的接口
|
||||
|
||||
# 加载测试集
|
||||
X_test, y_test = load_data("./data/horse-colic.test")
|
||||
|
||||
# 训练对率回归模型
|
||||
weights, bias = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000)
|
||||
|
||||
# 测试单个数据
|
||||
y_pred = predict_logreg(X_test[11], weights, bias)
|
||||
print(f"预测结果: {y_pred}, 实际结果: {y_test[11]}")
|
||||
Reference in New Issue
Block a user