generated from LufsX/Experiment-LogReg
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+38
-28
@@ -30,7 +30,7 @@ name = "程悦"
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def sigmoid(z):
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return 1.0 / (1 + np.exp(-z))
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def train_logreg(X, y, learning_rate=0.01, iterations=1000):
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def train_logreg(X, y, learning_rate=0.01, iterations=1000, regularization='l2', lambda_=0.01):
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"""
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对率回归训练函数。
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@@ -47,6 +47,12 @@ def train_logreg(X, y, learning_rate=0.01, iterations=1000):
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z = np.dot(X, weights)
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h = sigmoid(z)
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gradient = np.dot(X.T, (h - y)) / m
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# 正则化
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if regularization == 'l2':
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gradient += lambda_ * weights / m
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elif regularization == 'l1':
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gradient += lambda_ * np.sign(weights) / m
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weights -= learning_rate * gradient
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return weights
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@@ -103,43 +109,47 @@ def load_data(filepath):
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return data, target_variable
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class CustomLogisticRegression(BaseEstimator, ClassifierMixin):
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def __init__(self, learning_rate=0.01, iterations=1000, regularization='l2', lambda_=0.01):
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self.learning_rate = learning_rate
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self.iterations = iterations
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self.regularization = regularization
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self.lambda_ = lambda_
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self.weights = None
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def fit(self, X, y):
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self.weights = train_logreg(X, y, self.learning_rate, self.iterations,
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self.regularization, self.lambda_)
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def predict(self, X):
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return np.array([predict_logreg(x, self.weights) for x in X])
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if __name__ == "__main__":
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# 加载训练集和测试集
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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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# 使用GridSearchCV进行超参数调优
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# 定义网格搜索的参数范围
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param_grid = {
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'learning_rate': [0.001, 0.01, 0.1],
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'iterations': [100, 500, 1000]
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'iterations': [100, 500, 1000],
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'regularization': ['l1', 'l2'],
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'lambda_': [0.01, 0.1, 1.0]
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}
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# 定义自定义逻辑回归模型
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class CustomLogisticRegression:
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def __init__(self, learning_rate=0.01, iterations=1000):
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self.learning_rate = learning_rate
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self.iterations = iterations
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self.weights = None
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def fit(self, X, y):
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self.weights = train_logreg(X, y, self.learning_rate, self.iterations)
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def predict(self, X):
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return np.array([predict_logreg(x, self.weights) for x in X])
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# 创建逻辑回归模型
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model = CustomLogisticRegression()
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# 网格搜索
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best_accuracy = 0
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best_params = {}
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grid_search = GridSearchCV(model, param_grid, cv=5)
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grid_search.fit(X_train, y_train)
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for lr in param_grid['learning_rate']:
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for it in param_grid['iterations']:
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model = CustomLogisticRegression(learning_rate=lr, iterations=it)
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model.fit(X_train, y_train)
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y_pred = model.predict(X_test)
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accuracy = np.mean(y_pred == y_test)
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print(f"学习率: {lr}, 迭代次数: {it}, 准确率: {accuracy}")
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if accuracy > best_accuracy:
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best_accuracy = accuracy
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best_params = {'learning_rate': lr, 'iterations': it}
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# 使用最佳模型进行预测
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best_model = grid_search.best_estimator_
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y_pred = best_model.predict(X_test)
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print(f"最佳参数: {best_params}, 最佳准确率: {best_accuracy}")
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# 测试单个数据
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single_prediction = best_model.predict([X_test[11]])
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print(f"最佳参数组合: {grid_search.best_params_}")
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print(f"最佳准确率: {grid_search.best_score_}")
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print(f"预测结果: {single_prediction[0]}, 实际结果: {y_test[11]}")
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