ensemble模型如何在保持低过拟合的同时提升准确率
How Ensemble Learning Balances Accuracy and Overfitting: A Bias-Variance Perspective on Tabular Data
- 通过平均或受控提升降低方差,平衡精度与过拟合
- 非线性数据上准确率提升5-7点,泛化差距低于3%
- 适合有复杂结构的表格数据,对噪声敏感需正则化
集成模型通常比单个学习器获得更高准确率,但其维持小泛化差距的能力尚不明确。本研究在乳腺癌、心脏病、妊娠糖尿病和信用卡欺诈四个表格分类任务上,通过重复分层交叉验证与统计显著性检验,比较线性模型、单棵决策树及九种集成方法。结果表明,集成模型可通过平均或受控提升有效降低方差,在接近线性且干净的数据上,线性模型已具良好泛化能力,集成优势有限;在具有显著非线性结构的数据上,基于树的集成方法可将测试准确率提升5至7个百分点,同时保持泛化差距低于3%;在噪声大或高度不平衡的数据上,集成模型仍具竞争力,但需正则化以避免拟合噪声或多数类模式。研究还计算了线性度评分、Fisher比和噪声估计等简单数据复杂度指标,用于预测集成模型控制方差的有效性。总体而言,该研究为实际表格数据应用中的模型选择提供了清晰指导。
原文摘要 · Abstract (English)
Ensemble models often achieve higher accuracy than single learners, but their ability to maintain small generalization gaps is not always well understood. This study examines how ensembles balance accuracy and overfitting across four tabular classification tasks: Breast Cancer, Heart Disease, Pima Diabetes, and Credit Card Fraud. Using repeated stratified cross validation with statistical significance testing, we compare linear models, a single decision tree, and nine ensemble methods. The results show that ensembles can reach high accuracy without large gaps by reducing variance through averaging or controlled boosting. On nearly linear and clean data, linear models already generalize well and ensembles offer little additional benefit. On datasets with meaningful nonlinear structure, tree based ensembles increase test accuracy by 5 to 7 points while keeping gaps below 3 percent. On noisy or highly imbalanced datasets, ensembles remain competitive but require regularization to avoid fitting noise or majority class patterns. We also compute simple dataset complexity indicators, such as linearity score, Fisher ratio, and noise estimate, which explain when ensembles are likely to control variance effectively. Overall, the study provides a clear view of how and when ensembles maintain high accuracy while keeping overfitting low, offering practical guidance for model selection in real world tabular applications.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。