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# function.py
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import numpy as np
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import numpy as np
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"""
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id="202210423210"
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实验说明:
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name="陈宇杰"
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- 自行编写实现数据加载与预测病马死亡的对率回归算法。
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注意事项:
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# Utility Functions
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- 在 function.py 中实现对率回归算法。
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def sigmoid(z):
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- 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。
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return 1 / (1 + np.exp(-z))
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- 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。
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测评环境:
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# Optimized Logistic Regression Training
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- CPU: Intel Xeon(R) CPU E3-1231 v3 @ 3.40GHz
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def train_logreg(X, y, learning_rate=0.01, iterations=1000, batch_size=128, lambda_reg=0.01):
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- OS: Ubuntu 22.04.4 LTS
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m, n = X.shape
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- Python: 3.10.12
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weights = np.random.randn(n) * 0.01 # Initialize weights with small random values for faster convergence
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- numpy: 2.1.1
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prev_weights = np.copy(weights)
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"""
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for j in range(iterations):
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dataIndex = np.random.permutation(m)
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for i in range(0, m, batch_size):
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end = min(i + batch_size, m)
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batch_X = X[dataIndex[i:end]]
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batch_y = y[dataIndex[i:end]]
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"""
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# Vectorized gradient calculation
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请在这里填写学号和姓名,不填写即成绩无效。
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z = np.dot(batch_X, weights)
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姓名请直接**填写中文**
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h = sigmoid(z)
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例如: name = "张三"
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"""
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id = "202210423xxx"
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name = "test_name"
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error = batch_y - h
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gradient = np.dot(batch_X.T, error) / len(batch_y)
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gradient -= lambda_reg * weights / len(batch_y)
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# 这里写自己的代码实现
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weights += learning_rate * gradient
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def train_logreg(X, y, other_params="你自己设置一些其它参数"):
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"""
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对率回归训练函数。
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Args:
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# Early stopping: Check for convergence
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- X (numpy array): 特征数据。
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if np.linalg.norm(weights - prev_weights) < 1e-5:
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- y (numpy array): 标签数据。
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print(f"Converged after {j} iterations.")
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- other_params (str): 其它参数,可选设置。若需设置其它参数,必须设置其默认值,否则将**无法通过**自动评测,**成绩为零**。
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break
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prev_weights = np.copy(weights)
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Returns:
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return weights
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- numpy array: 训练得到的权重。
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"""
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def predict_logreg(X, weights):
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probabilities = sigmoid(np.dot(X, weights))
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return (probabilities >= 0.5).astype(int)
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def predict_logreg(inX, weights):
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# Load Data Function
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"""
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对率回归预测函数。
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Args:
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- inX (numpy array): 输入待分类的样本。
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- weights (numpy array): 训练得到的权重。
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Returns:
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- int: 预测的分类标签。
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"""
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# 这里也写自己的代码实现
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def load_data(filepath):
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def load_data(filepath):
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"""
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data, labels = [], []
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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**。
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with open(filepath, 'r') as file:
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for line in file:
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parts = line.strip().split()
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features = [float(x) if x != '?' else 0.0 for x in parts[:-1]]
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label = parts[-1]
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data.append(features)
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labels.append(1 if label in ['2', '3'] else 0)
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Args:
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data = np.array(data)
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- directory (str): 数据文件路径。
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labels = np.array(labels)
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Returns:
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# Normalize data
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- np.array: 特征数据。
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data_mean = np.mean(data, axis=0)
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- np.array: 标签数据。
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data_std = np.std(data, axis=0)
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"""
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data = (data - data_mean) / (data_std + 1e-10)
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return data, labels, data_mean, data_std
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# Load and Preprocess Data
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if __name__ == "__main__":
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if __name__ == "__main__":
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# 以下代码可用于测试,可自行随意修改
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# Training data
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# 加载训练集
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X_train, y_train, data_mean, data_std = load_data("./data/horse-colic.data")
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X_train, y_train = load_data("./data/horse-colic.data")
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# Normalize test data using training mean and std
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X_test, y_test, _, _ = load_data("./data/horse-colic.test")
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X_test = (X_test - data_mean) / (data_std + 1e-10)
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# 加载测试集
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# Train model
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X_test, y_test = load_data("./data/horse-colic.test")
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weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=2000, batch_size=64, lambda_reg=0.01)
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# 训练对率回归模型
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# Make predictions and calculate accuracy
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weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000)
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y_pred = predict_logreg(X_test, weights)
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accuracy = np.mean(y_pred == y_test)
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# 测试单个数据
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print(f"Accuracy: {accuracy:.2f}")
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y_pred = predict_logreg(X_test[11], weights)
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print(f"预测结果: {y_pred}, 实际结果: {y_test[11]}")
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