generated from LufsX/Experiment-LogReg
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@@ -27,169 +27,100 @@ name = "章程鸿"
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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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import pandas as pd
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from sklearn.preprocessing import StandardScaler
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from sklearn.model_selection import train_test_split, KFold, GridSearchCV
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from sklearn.linear_model import LogisticRegression
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from sklearn.metrics import confusion_matrix, precision_score, recall_score, f1_score
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import warnings
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warnings.filterwarnings("ignore")
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from sklearn.preprocessing import StandardScaler, MinMaxScaler
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from sklearn.model_selection import train_test_split
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def sigmoid(z):
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"""Sigmoid 激活函数。"""
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return 1 / (1 + np.exp(-z))
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def train_logreg(X, y, learning_rate=0.01, iterations=5000, lambda_reg=0.01, batch_size=32):
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"""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。"""
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m, n = X.shape
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weights = np.random.randn(n) * 0.01 # 随机初始化权重,取较小值
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for i in range(iterations):
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# 每次迭代打乱数据
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indices = np.random.permutation(m)
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X = X[indices]
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y = y[indices]
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for j in range(0, m, batch_size): # 按照 batch size 迭代
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X_batch = X[j:j + batch_size]
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y_batch = y[j:j + batch_size]
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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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predictions = sigmoid(z)
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gradient = np.dot(X_batch.T, (predictions - y_batch)) / X_batch.shape[0]
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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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# 添加L2正则化
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gradient += (lambda_reg / len(y_batch)) * weights
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return gradient
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# L2 正则化
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gradient += (lambda_reg / m) * weights
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def train_logreg(X, y, learning_rate=0.01, iterations=5000, batch_size=64, lambda_reg=0.01):
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m, n = X.shape
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weights = np.random.randn(n) * 0.01
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best_weights = weights.copy()
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best_accuracy = 0
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# 更新权重
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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 i % 1000 == 0: # 每 1000 次迭代调整一次学习率
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learning_rate *= 0.9 # 每 1000 次迭代减小学习率
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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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if i % 100 == 0: # 每 100 次迭代输出一次学习率
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print(f"Iteration {i}, Learning Rate: {learning_rate}")
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return best_weights
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return weights
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def predict_logreg(inX, weights):
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"""逻辑回归预测函数。"""
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z = np.dot(inX, weights)
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prediction_prob = sigmoid(z)
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return 1 if prediction_prob >= 0.5 else 0
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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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"""加载数据并处理缺失值。"""
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data = []
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labels = []
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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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values = line.strip().replace('?', '0').split()
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try:
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values = [float(v) for v in values]
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# 合并特征 23 的取值
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if values[22] == 2 or values[22] == 3: # 特征 23(索引 22)
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labels.append(0) # 死亡
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elif values[22] == 1:
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labels.append(1) # 生存
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else:
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continue # 无效标签,丢弃
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# 用均值填充缺失值
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values = [np.nan if v == 0 else v for v in values]
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nan_indices = np.isnan(values)
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column_means = np.nanmean(np.array(data), axis=0)
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for i, is_nan in enumerate(nan_indices):
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if is_nan:
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values[i] = column_means[i]
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data.append(values[:2] + values[3:23]) # 保留特征 1, 2 和特征 4 - 23
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except ValueError:
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continue
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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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target_variable = np.where((labels == 2) | (labels == 3), 0, labels)
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return data, labels
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return data, target_variable
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def preprocess_data(X):
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"""特征标准化。"""
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scaler = StandardScaler()
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return scaler.fit_transform(X)
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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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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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# 归一化数据
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X_train = preprocess_data(X_train)
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X_test = preprocess_data(X_test)
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# 超参数搜索空间
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param_grid = {
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'learning_rate': [0.001, 0.01, 0.1],
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'iterations': [3000, 5000, 7000],
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'lambda_reg': [0.001, 0.01, 0.1],
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'batch_size': [16, 32, 64]
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}
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# K 折交叉验证
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k = 5
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kf = KFold(n_splits=k, shuffle=True, random_state=42)
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accuracies = []
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for train_index, val_index in kf.split(X_train):
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X_train_kf, X_val_kf = X_train[train_index], X_train[val_index]
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y_train_kf, y_val_kf = y_train[train_index], y_train[val_index]
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best_params = None
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best_score = 0
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for params in GridSearchCV(estimator=LogisticRegression(), param_grid=param_grid, scoring='accuracy', cv=3).fit(X_train_kf, y_train_kf).cv_results_['params']:
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weights = train_logreg(X_train_kf, y_train_kf, learning_rate=params['learning_rate'], iterations=params['iterations'], lambda_reg=params['lambda_reg'], batch_size=params['batch_size'])
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val_predictions = [predict_logreg(X_val_kf[i], weights) for i in range(len(X_val_kf))]
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score = np.mean(val_predictions == y_val_kf)
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if score > best_score:
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best_score = score
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best_params = params
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print(f"Best parameters for fold: {best_params}")
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# 使用最佳参数重新训练
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weights = train_logreg(X_train_kf, y_train_kf, learning_rate=best_params['learning_rate'], iterations=best_params['iterations'], lambda_reg=best_params['lambda_reg'], batch_size=best_params['batch_size'])
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val_predictions = [predict_logreg(X_val_kf[i], weights) for i in range(len(X_val_kf))]
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accuracy = np.mean(val_predictions == y_val_kf)
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accuracies.append(accuracy)
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# 输出交叉验证的准确率和平均准确率
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print(f"K 折交叉验证得分: {accuracies}")
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print(f"平均准确率: {np.mean(accuracies)}")
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# 在测试集上测试模型
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best_params = None
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best_score = 0
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for params in GridSearchCV(estimator=LogisticRegression(), param_grid=param_grid, scoring='accuracy', cv=3).fit(X_train, y_train).cv_results_['params']:
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weights = train_logreg(X_train, y_train, learning_rate=params['learning_rate'], iterations=params['iterations'], lambda_reg=params['lambda_reg'], batch_size=params['batch_size'])
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test_predictions = [predict_logreg(X_test[i], weights) for i in range(len(X_test))]
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score = np.mean(test_predictions == y_test)
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if score > best_score:
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best_score = score
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best_params = params
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print(f"Best parameters for test set: {best_params}")
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weights = train_logreg(X_train, y_train, learning_rate=best_params['learning_rate'], iterations=best_params['iterations'], lambda_reg=best_params['lambda_reg'], batch_size=best_params['batch_size'])
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test_predictions = [predict_logreg(X_test[i], weights) for i in range(len(X_test))]
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test_accuracy = np.mean(test_predictions == y_test)
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print(f"测试集准确率: {test_accuracy}")
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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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