generated from LufsX/Experiment-LogReg
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+24
-65
@@ -29,33 +29,21 @@ def load_data(filepath):
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- X (numpy array): 包含非线性特征的特征数据
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- y (numpy array): 标签数据
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"""
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# 读取数据,指定分隔符为空格,缺失值符号为 '?'
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data = np.genfromtxt(filepath, delimiter=" ", dtype=str)
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# 将 '?' 替换为 np.nan 并转换为浮点数
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data[data == '?'] = np.nan
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data = data.astype(float)
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# 对每一列的缺失值使用列的均值填充
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col_means = np.nanmean(data, axis=0)
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inds = np.where(np.isnan(data))
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data[inds] = np.take(col_means, inds[1])
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# 分离特征和标签
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X = data[:, :-1]
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y = data[:, -1]
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# 生成非线性特征 (平方和对数)
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square_features = X ** 2
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log_features = np.log1p(X) # 使用 log1p 避免 log(0)
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# 将非线性特征添加到原特征集
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log_features = np.log1p(X)
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X = np.hstack([X, square_features, log_features])
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return X, y
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# 对率回归训练函数
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def train_logreg(X, y, learning_rate=0.01, num_iterations=1000, regularization_strength=0):
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def train_logreg(X, y, initial_learning_rate=0.1, num_iterations=2000, regularization_strength=0.1):
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"""
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对率回归训练函数。
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@@ -69,79 +57,50 @@ def train_logreg(X, y, learning_rate=0.01, num_iterations=1000, regularization_s
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Returns:
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- weights (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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for _ in range(num_iterations):
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weights = np.random.randn(n) * 0.01 # 随机初始化权重
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learning_rate = initial_learning_rate
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for i in range(num_iterations):
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predictions = 1 / (1 + np.exp(-np.dot(X, weights)))
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gradient = (1 / m) * np.dot(X.T, (predictions - y)) + regularization_strength * weights
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weights -= learning_rate * gradient
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if i % 100 == 0: # 每100次迭代降低学习率
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learning_rate *= 0.9
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return weights
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# 决策树训练函数
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def train_decision_tree(X, y):
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"""
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训练简单的决策树模型。
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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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Returns:
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- clf (DecisionTreeClassifier): 训练好的决策树模型
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"""
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clf = DecisionTreeClassifier(max_depth=5, random_state=42)
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clf.fit(X, y)
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return clf
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# 对率回归预测函数
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def predict_logreg(inX, weights):
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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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probability = 1 / (1 + np.exp(-np.dot(inX, weights)))
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return 1 if probability >= 0.4 else 0
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return 1 if probability >= 0.5 else 0
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# 融合预测函数
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def predict_fusion(inX, weights, clf):
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"""
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融合对率回归和决策树的预测结果。
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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): 对率回归的权重。
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- clf (DecisionTreeClassifier): 训练好的决策树模型。
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Returns:
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- int: 最终预测的分类标签。
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"""
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# 对率回归预测
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prediction_logreg = predict_logreg(inX, weights)
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# 决策树预测
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prediction_tree = clf.predict(inX.reshape(1, -1))[0]
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# 融合投票
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final_prediction = 1 if (prediction_logreg + prediction_tree) >= 1 else 0
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return final_prediction
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def predict_fusion(inX, weights, clf, alpha=0.6):
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prob_logreg = 1 / (1 + np.exp(-np.dot(inX, weights)))
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prob_tree = clf.predict_proba(inX.reshape(1, -1))[0, 1]
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final_prob = alpha * prob_logreg + (1 - alpha) * prob_tree
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return 1 if final_prob >= 0.5 else 0
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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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# 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 = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000)
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weights = train_logreg(X_train, y_train, initial_learning_rate=0.1, num_iterations=2000)
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# 训练决策树模型
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clf = train_decision_tree(X_train, y_train)
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# 测试单个数据
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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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y_pred_logreg = predict_logreg(X_test[11], weights)
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y_pred_fusion = predict_fusion(X_test[11], weights, clf)
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print(f"对率回归预测结果: {y_pred_logreg}, 实际结果: {y_test[11]}")
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print(f"融合预测结果: {y_pred_fusion}, 实际结果: {y_test[11]}")
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