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In this article we propose a boosting algorithm for regression with functional explanatory variables and scalar responses. The algorithm uses decision trees constructed with multiple projections as the "base-learners", which we call…

统计方法学 · 统计学 2023-04-07 Xiaomeng Ju , Matías Salibián-Barrera

Decision trees are widely used for non-linear modeling, as they capture interactions between predictors while producing inherently interpretable models. Despite their popularity, performing inference on the non-linear fit remains largely…

统计方法学 · 统计学 2026-04-14 Soham Bakshi , Snigdha Panigrahi

The potential lack of fairness in the outputs of machine learning algorithms has recently gained attention both within the research community as well as in society more broadly. Surprisingly, there is no prior work developing tree-induction…

机器学习 · 统计学 2017-12-25 Edward Raff , Jared Sylvester , Steven Mills

This paper describes techniques for growing classification and regression trees designed to induce visually interpretable trees. This is achieved by penalizing splits that extend the subset of features used in a particular branch of the…

统计方法学 · 统计学 2013-10-22 Alex Goldstein , Andreas Buja

We introduce a boosting algorithm to pre-process data for fairness. Starting from an initial fair but inaccurate distribution, our approach shifts towards better data fitting while still ensuring a minimal fairness guarantee. To do so, it…

机器学习 · 统计学 2023-08-16 Alexander Soen , Hisham Husain , Richard Nock

Decision tree optimization is fundamental to interpretable machine learning. The most popular approach is to greedily search for the best feature at every decision point, which is fast but provably suboptimal. Recent approaches find the…

机器学习 · 计算机科学 2025-11-19 Varun Babbar , Hayden McTavish , Cynthia Rudin , Margo Seltzer

An information theoretic approach to learning the complexity of classification and regression trees and the number of trees in gradient tree boosting is proposed. The optimism (test loss minus training loss) of the greedy leaf splitting…

统计方法学 · 统计学 2020-08-14 Berent Ånund Strømnes Lunde , Tore Selland Kleppe , Hans Julius Skaug

We propose a modification that corrects for split-improvement variable importance measures in Random Forests and other tree-based methods. These methods have been shown to be biased towards increasing the importance of features with more…

机器学习 · 统计学 2020-03-25 Zhengze Zhou , Giles Hooker

The most fundamental problem in statistical causality is determining causal relationships from limited data. Probability trees, which combine prior causal structures with Bayesian updates, have been suggested as a possible solution. In this…

机器学习 · 计算机科学 2022-05-19 Tue Herlau

It is widely believed that the prediction accuracy of decision tree models is invariant under any strictly monotone transformation of the individual predictor variables. However, this statement may be false when predicting new observations…

机器学习 · 统计学 2016-11-16 Tal Galili , Isaac Meilijson

In recent years, significant progress has been made on algorithms for learning optimal decision trees, primarily in the context of binary features. Extending these methods to continuous features remains substantially more challenging due to…

机器学习 · 计算机科学 2026-01-22 Harold Kiossou , Pierre Schaus , Siegfried Nijssen

When using machine learning for imbalanced binary classification problems, it is common to subsample the majority class to create a (more) balanced training dataset. This biases the model's predictions because the model learns from data…

机器学习 · 计算机科学 2025-11-03 Nathan Phelps , Daniel J. Lizotte , Douglas G. Woolford

Decision trees are popular classification models, providing high accuracy and intuitive explanations. However, as the tree size grows the model interpretability deteriorates. Traditional tree-induction algorithms, such as C4.5 and CART,…

机器学习 · 计算机科学 2022-11-29 Guangyi Zhang , Aristides Gionis

We give the first algorithm that maintains an approximate decision tree over an arbitrary sequence of insertions and deletions of labeled examples, with strong guarantees on the worst-case running time per update request. For instance, we…

数据结构与算法 · 计算机科学 2023-02-13 Marco Bressan , Mauro Sozio

We propose an algorithm named best-scored random forest for binary classification problems. The terminology "best-scored" means to select the one with the best empirical performance out of a certain number of purely random tree candidates…

机器学习 · 统计学 2019-05-28 Hanyuan Hang , Xiaoyu Liu , Ingo Steinwart

In the fields of finance, engineering and sciences data mining/ machine learning has held an eminent position in predictive analysis. Complex algorithms and adaptive decision models have contributed towards streamlining research as well as…

信息论 · 计算机科学 2012-07-03 Indraneel Dabhade

Deep neural network models owe their representational power to the high number of learnable parameters. It is often infeasible to run these largely parametrized deep models in limited resource environments, like mobile phones. Network…

计算机视觉与模式识别 · 计算机科学 2018-07-27 Ufuk Can Biçici , Cem Keskin , Lale Akarun

A core step of every algorithm for learning regression trees is the selection of the best splitting variable from the available covariates and the corresponding split point. Early tree algorithms (e.g., AID, CART) employed greedy search…

统计方法学 · 统计学 2019-06-26 Lisa Schlosser , Torsten Hothorn , Achim Zeileis

The gradient boosting machine is a powerful ensemble-based machine learning method for solving regression problems. However, one of the difficulties of its using is a possible discontinuity of the regression function, which arises when…

机器学习 · 计算机科学 2020-06-22 Andrei V. Konstantinov , Lev V. Utkin

We present an algorithm for classification tasks on big data. Experiments conducted as part of this study indicate that the algorithm can be as accurate as ensemble methods such as random forests or gradient boosted trees. Unlike ensemble…

机器学习 · 统计学 2017-10-27 Rajiv Sambasivan , Sourish Das