generated from LufsX/Experiment-LogReg
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+55
-36
@@ -24,67 +24,78 @@ from sklearn.model_selection import KFold
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id = "202210423117"
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name = "程悦"
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def sigmoid(z):
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"""计算Sigmoid激活函数值"""
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return 1.0 / (1 + np.exp(-z))
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def train_logreg(X, y, learning_rate=0.05,
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iterations=1500,
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batch_size=64, regularization='L2', lambda_reg=0.05, cv=5):
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def train_logreg(X, y, learning_rate=0.05, iterations=1500, batch_size=64,
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regularization='L2', lambda_reg=0.05, cv=5):
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"""训练逻辑回归模型并使用交叉验证计算权重"""
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m, n = X.shape
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kf = KFold(n_splits=cv, shuffle=True)
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weights_list = []
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fold_scores = []
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for train_index, val_index in kf.split(X):
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X_train, X_val = X[train_index], X[val_index]
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y_train, y_val = y[train_index], y[val_index]
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weights = np.random.randn(n) * 0.01
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for i in range(iterations):
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for _ in range(iterations):
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indices = np.random.permutation(len(X_train))
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X_shuffled = X_train[indices]
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y_shuffled = y_train[indices]
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X_shuffled, y_shuffled = X_train[indices], y_train[indices]
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for j in range(0, len(X_train), 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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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)) / X_batch.shape[0]
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gradient = np.dot(X_batch.T, (h - y_batch)) / len(y_batch)
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# 正则化处理
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if regularization == 'L1':
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gradient += lambda_reg * np.sign(weights) / len(y_batch)
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elif regularization == 'L2':
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gradient += (lambda_reg / m) * weights
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gradient += (lambda_reg / len(y_train)) * weights
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weights -= learning_rate * gradient
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if i % 100 == 0:
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learning_rate *= 0.95
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# 在验证集上计算准确率
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predictions = [predict_logreg(x, weights) for x in X_val]
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if _ % 100 == 0:
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learning_rate *= 0.95 # 动态调整学习率
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# 验证集准确率
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predictions = predict_logreg(X_val, weights)
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score = np.mean(predictions == y_val)
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fold_scores.append(score)
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weights_list.append(weights)
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# 对权重进行加权平均融合,权重为各折的准确率
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# 权重加权平均
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total_score = sum(fold_scores)
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if total_score == 0:
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return weights_list[-1]
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averaged_weights = np.zeros(n)
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for weight, score in zip(weights_list, fold_scores):
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averaged_weights += weight * score
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averaged_weights /= total_score
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return averaged_weights
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return averaged_weights / total_score
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def predict_logreg(inX, weights):
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z = np.dot(inX, weights)
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def predict_logreg(X, weights):
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"""对输入数据进行逻辑回归预测"""
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z = np.dot(X, weights)
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h = sigmoid(z)
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return 1 if h > 0.5 else 0
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return (h > 0.5).astype(int)
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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, labels = [], []
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with open(filepath, 'r') as f:
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for line in f.readlines():
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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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if line and line[-1].isdigit():
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line_data = [1] + [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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@@ -92,39 +103,47 @@ def load_data(filepath):
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data = np.array(data)
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labels = np.array(labels)
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target_variable = labels
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target_variable[(target_variable == 2) | (target_variable == 3)] = 0
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# 处理目标变量
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labels[(labels == 2) | (labels == 3)] = 0
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data = np.delete(data, [2] + list(range(23, 28)), axis=1)
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# 数据标准化
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scaler = StandardScaler()
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data = scaler.fit_transform(data)
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return data, target_variable
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return data, labels
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def accuracy(X, y, weights):
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predictions = [predict_logreg(x, weights) for x in X]
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"""计算模型的准确率"""
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predictions = predict_logreg(X, weights)
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return np.mean(predictions == y)
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def ensemble_predict(X, models):
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predictions = [predict_logreg(x, model) for model in models for x in X]
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ensemble_predictions = [1 if np.sum(pred == 1) > len(models) / 2 else 0 for pred in np.array(predictions).reshape(-1, len(models))]
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return ensemble_predictions
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def ensemble_predict(X, models, weights):
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"""集成模型预测"""
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predictions = np.array([predict_logreg(X, model) for model in models]) # (num_models, num_samples)
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weighted_predictions = np.tensordot(predictions, weights, axes=(0, 0)) # 权重加权
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return (weighted_predictions > 0.5).astype(int) # 返回最终预测
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if __name__ == "__main__":
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X_train, y_train = load_data("./horse-colic.data")
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X_test, y_test = load_data("./horse-colic.test")
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X_train, y_train = load_data("./data/horse-colic.data")
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X_test, y_test = load_data("./data/horse-colic.test")
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# 训练多个模型
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num_models = 5
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models = [train_logreg(X_train, y_train, learning_rate=0.01, iterations=5000, batch_size=32, regularization='None',
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lambda_reg=0.01) for _ in range(num_models)]
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models = [train_logreg(X_train, y_train, learning_rate=0.02, iterations=6000,
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batch_size=48, regularization='None', lambda_reg=0.02)
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for _ in range(num_models)]
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# 模型准确率作为权重
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model_accuracies = [accuracy(X_train, y_train, model) for model in models]
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weights = np.array(model_accuracies) / sum(model_accuracies)
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# 集成预测
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ensemble_predictions = ensemble_predict(X_test, models)
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ensemble_predictions = ensemble_predict(X_test, models, weights)
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final_accuracy = np.mean(ensemble_predictions == y_test)
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print(f"最终测试集的准确率: {final_accuracy:.4f}")
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print(f"最终测试集的准确率: {final_accuracy:.4f}")
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