generated from LufsX/Experiment-LogReg
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import numpy as np
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# 填写学号和姓名
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id = "202210423105"
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name = "魏明帅"
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def sigmoid(z):
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return 1 / (1 + np.exp(-z))
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def train_logreg(X, y, learning_rate=0.01, iterations=1000):
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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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- X (numpy array): 特征数据。
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- y (numpy array): 标签数据。
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- learning_rate (float): 学习率。
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- iterations (int): 迭代次数。
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Returns:
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- numpy array: 训练得到的权重。
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"""
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m, n = X.shape
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weights = np.zeros(n)
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bias = 0
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for i in range(iterations):
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h = sigmoid(np.dot(X, weights) + bias)
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error = h - y
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weights -= learning_rate * (1 / m) * np.dot(X.T, error)
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bias -= learning_rate * (1 / m) * np.sum(error)
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return weights, bias
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def predict_logreg(inX, weights, bias):
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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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- bias (float): 训练得到的偏置项。
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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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prob = sigmoid(np.dot(inX, weights) + bias)
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return 1 if prob > 0.5 else 0
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def load_data(filepath):
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"""
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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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Args:
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- filepath (str): 数据文件路径。
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Returns:
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- np.array: 特征数据。
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- np.array: 标签数据。
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"""
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data = np.loadtxt(filepath, delimiter=',')
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X = data[:, :-1]
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y = data[:, -1]
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y = (y > 0).astype(int) # 将标签转换为1和0
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return X, y
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if __name__ == "__main__":
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# 加载训练集
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X_train, y_train = load_data("./data/horse-colic.data")
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# 加载测试集
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X_test, y_test = load_data("./data/horse-colic.test")
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# 训练对率回归模型
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weights, bias = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000)
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# 测试单个数据
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y_pred = predict_logreg(X_test[11], weights, bias)
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print(f"预测结果: {y_pred}, 实际结果: {y_test[11]}")
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import os
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import numpy as np
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"""
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实验说明:
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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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- 在 function.py 中实现对率回归算法。
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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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- 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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- CPU: Intel Xeon(R) CPU E3-1231 v3 @ 3.40GHz
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- OS: Ubuntu 22.04.4 LTS
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- Python: 3.10.12
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- numpy: 2.1.1
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"""
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"""
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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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"""
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id = "202210423105"
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name = "魏明帅"
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# 这里写自己的代码实现
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import numpy as np
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from sklearn.preprocessing import MinMaxScaler
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from sklearn.model_selection import train_test_split
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def sigmoid(z):
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return 1.0 / (1 + np.exp(-z))
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def compute_gradient(X_batch, y_batch, weights, lambda_reg):
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z = np.dot(X_batch, weights)
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h = sigmoid(z)
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gradient = np.dot(X_batch.T, (h - y_batch)) / len(y_batch)
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gradient += (lambda_reg / len(y_batch)) * weights # L2正则化
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return gradient
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def train_logreg(X, y, learning_rate=0.001, iterations=10000, batch_size=64, lambda_reg=0.1):
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m, n = X.shape
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weights = np.random.randn(n) * np.sqrt(2. / n) # He初始化
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best_weights = weights.copy()
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best_accuracy = 0
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for _ in range(iterations):
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indices = np.random.permutation(m)
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X_shuffled = X[indices]
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y_shuffled = y[indices]
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for j in range(0, m, batch_size):
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X_batch = X_shuffled[j:j + batch_size]
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y_batch = y_shuffled[j:j + batch_size]
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gradient = compute_gradient(X_batch, y_batch, weights, lambda_reg)
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weights -= learning_rate * gradient
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# 计算训练集准确率
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train_accuracy = accuracy(X, y, weights)
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if train_accuracy > best_accuracy:
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best_accuracy = train_accuracy
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best_weights = weights.copy()
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# 动态调整学习率
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if _ % 100 == 0 and train_accuracy > 0.95: # 达到高准确率时减小学习率
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learning_rate *= 0.9
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return best_weights
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def predict_logreg(X, weights):
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z = np.dot(X, weights)
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h = sigmoid(z)
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return np.where(h >= 0.5, 1, 0)
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def load_data(filepath):
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data, labels = [], []
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with open(filepath, 'r') as f:
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for line in f:
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line = line.strip().split()
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if len(line) >= 1 and line[-1].isdigit():
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line_data = [0 if x == '?' else float(x) for x in line[:-1]]
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data.append(line_data)
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labels.append(int(line[-1]))
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data = np.array(data)
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labels = np.array(labels)
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# 检查特征数量
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num_features = data.shape[1]
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# 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
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indices_to_delete = [2] # 特征3
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if num_features > 24: # 确保特征数量足够
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indices_to_delete += list(range(24, 27)) # 特征24到27（索引23到26）
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# 删除特征
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data = np.delete(data, indices_to_delete, axis=1)
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# 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
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target_variable = np.where((labels == 2) | (labels == 3), 0, 1)
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return data, target_variable
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def accuracy(X, y, weights):
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predictions = predict_logreg(X, weights)
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return np.mean(predictions == y)
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# 其余代码保持不变
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if __name__ == "__main__":
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# 加载数据
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X, y = load_data("./data/horse-colic.data")
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# 拆分训练集和验证集
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X_train, X_val, y_train, y_val = train_test_split(X, y, test_size=0.2, random_state=42)
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# 数据归一化
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scaler = MinMaxScaler()
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X_train = scaler.fit_transform(X_train)
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X_val = scaler.transform(X_val)
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# 训练模型
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final_weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=5000, batch_size=64, lambda_reg=0.1)
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# 验证模型
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val_accuracy = accuracy(X_val, y_val, final_weights)
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print(f"验证集的准确率: {val_accuracy:.4f}")
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# 加载测试集
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X_test, y_test = load_data("./data/horse-colic.test")
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X_test = scaler.transform(X_test)
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# 测试模型
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final_test_accuracy = accuracy(X_test, y_test, final_weights)
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print(f"最终测试集的准确率: {final_test_accuracy:.4f}")
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