Boosting Revisited: Benchmarking and Advancing LP-Based Ensemble Methods

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Main Authors: Akkerman, Fabian, Ferry, Julien, Artigues, Christian, Hebrard, Emmanuel, Vidal, Thibaut
Format: Preprint
Published: 2025
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author Akkerman, Fabian
Ferry, Julien
Artigues, Christian
Hebrard, Emmanuel
Vidal, Thibaut
author_facet Akkerman, Fabian
Ferry, Julien
Artigues, Christian
Hebrard, Emmanuel
Vidal, Thibaut
contents Despite their theoretical appeal, totally corrective boosting methods based on linear programming have received limited empirical attention. In this paper, we conduct the first large-scale experimental study of six LP-based boosting formulations, including two novel methods, NM-Boost and QRLP-Boost, across 20 diverse datasets. We evaluate the use of both heuristic and optimal base learners within these formulations, and analyze not only accuracy, but also ensemble sparsity, margin distribution, anytime performance, and hyperparameter sensitivity. We show that totally corrective methods can outperform or match state-of-the-art heuristics like XGBoost and LightGBM when using shallow trees, while producing significantly sparser ensembles. We further show that these methods can thin pre-trained ensembles without sacrificing performance, and we highlight both the strengths and limitations of using optimal decision trees in this context.
format Preprint
id arxiv_https___arxiv_org_abs_2507_18242
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Boosting Revisited: Benchmarking and Advancing LP-Based Ensemble Methods
Akkerman, Fabian
Ferry, Julien
Artigues, Christian
Hebrard, Emmanuel
Vidal, Thibaut
Machine Learning
Despite their theoretical appeal, totally corrective boosting methods based on linear programming have received limited empirical attention. In this paper, we conduct the first large-scale experimental study of six LP-based boosting formulations, including two novel methods, NM-Boost and QRLP-Boost, across 20 diverse datasets. We evaluate the use of both heuristic and optimal base learners within these formulations, and analyze not only accuracy, but also ensemble sparsity, margin distribution, anytime performance, and hyperparameter sensitivity. We show that totally corrective methods can outperform or match state-of-the-art heuristics like XGBoost and LightGBM when using shallow trees, while producing significantly sparser ensembles. We further show that these methods can thin pre-trained ensembles without sacrificing performance, and we highlight both the strengths and limitations of using optimal decision trees in this context.
title Boosting Revisited: Benchmarking and Advancing LP-Based Ensemble Methods
topic Machine Learning
url https://arxiv.org/abs/2507.18242