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The goal of data selection is to capture the most structural information from a set of data. This paper presents a fast and accurate data selection method, in which the selected samples are optimized to span the subspace of all data. We…

Computer Vision and Pattern Recognition · Computer Science 2018-11-30 Mohsen Joneidi , Alireza Zaeemzadeh , Nazanin Rahnavard , Mubarak Shah

Most decision tree induction algorithms are based on a greedy top-down recursive partitioning strategy for tree growth. In this paper, we propose several methods for induction of decision trees and their ensembles based on evolutionary…

Neural and Evolutionary Computing · Computer Science 2020-02-04 Evgeny Dolotov , Nikolai Zolotykh

Random Forests (RF) and Extreme Gradient Boosting (XGBoost) are two of the most widely used and highly performing classification and regression models. They aggregate equally weighted CART trees, generated randomly in RF or sequentially in…

Machine Learning · Computer Science 2025-10-28 Dimitris Bertsimas , Yubing Cui

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…

Machine Learning · Computer Science 2025-11-19 Varun Babbar , Hayden McTavish , Cynthia Rudin , Margo Seltzer

Tackling simulation optimization problems with non-convex objective functions remains a fundamental challenge in operations research. In this paper, we propose a class of random search algorithms, called Regular Tree Search, which…

Optimization and Control · Mathematics 2025-06-24 Du-Yi Wang , Guo Liang , Guangwu Liu , Kun Zhang

Although advancements in deep learning have significantly enhanced the recommendation accuracy of deep recommendation models, these methods still suffer from low recommendation efficiency. Recently proposed tree-based deep recommendation…

Information Retrieval · Computer Science 2026-01-29 Ze Liu , Jin Zhang , Chao Feng , Defu Lian , Jie Wang , Enhong Chen

The essential difficulty of gradient-based bilevel optimization using implicit differentiation is to estimate the inverse Hessian vector product with respect to neural network parameters. This paper proposes to tackle this problem by the…

Machine Learning · Computer Science 2023-02-21 Ryuichiro Hataya , Makoto Yamada

We propose a novel method designed for large-scale regression problems, namely the two-stage best-scored random forest (TBRF). "Best-scored" means to select one regression tree with the best empirical performance out of a certain number of…

Machine Learning · Statistics 2019-05-10 Hanyuan Hang , Yingyi Chen , Johan A. K. Suykens

We introduce an exact distributed algorithm to train Random Forest models as well as other decision forest models without relying on approximating best split search. We explain the proposed algorithm and compare it to related approaches for…

Machine Learning · Computer Science 2018-04-19 Mathieu Guillame-Bert , Olivier Teytaud

In this report we present two new ways of enforcing monotone constraints in regression and classification trees. One yields better results than the current LightGBM, and has a similar computation time. The other one yields even better…

Machine Learning · Statistics 2020-11-03 Charles Auguste , Sean Malory , Ivan Smirnov

We propose Partition Tree, a novel tree-based framework for conditional density estimation over general outcome spaces that supports both continuous and categorical variables within a unified formulation. Our approach models conditional…

Machine Learning · Computer Science 2026-05-13 Felipe Angelim , Alessandro Leite

Mondrian Forests are a powerful data stream classification method, but their large memory footprint makes them ill-suited for low-resource platforms such as connected objects. We explored using reduced-precision floating-point…

Machine Learning · Computer Science 2021-06-29 Marc Vicuna , Martin Khannouz , Gregory Kiar , Yohan Chatelain , Tristan Glatard

This work harnesses interpretable machine learning methods to address the challenging inverse design problem of origami-inspired systems. We show that a decision tree-random forest method is particularly suitable for fitting origami…

Soft Condensed Matter · Physics 2022-11-15 Yi Zhu , Evgueni T. Filipov

The varying-coefficient model is a strong tool for the modelling of interactions in generalized regression. It is easy to apply if both the variables that are modified as well as the effect modifiers are known. However, in general one has a…

Methodology · Statistics 2017-05-25 Moritz Berger , Gerhard Tutz , Matthias Schmid

This paper presents a new algorithm for online linear regression whose efficiency guarantees satisfy the requirements of the KWIK (Knows What It Knows) framework. The algorithm improves on the complexity bounds of the current…

Machine Learning · Computer Science 2012-05-14 Thomas J. Walsh , Istvan Szita , Carlos Diuk , Michael L. Littman

Models based on recursive adaptive partitioning such as decision trees and their ensembles are popular for high-dimensional regression as they can potentially avoid the curse of dimensionality. Because empirical risk minimization (ERM) is…

Machine Learning · Statistics 2025-09-11 Yan Shuo Tan , Jason M. Klusowski , Krishnakumar Balasubramanian

This paper deals with a new filter algorithm for selecting the smallest subset of features carrying all the information content of a data set (i.e. for removing redundant features). It is an advanced version of the fractal dimension…

Machine Learning · Statistics 2017-06-06 Jean Golay , Mikhail Kanevski

Random forests are classical ensemble algorithms that construct multiple randomized decision trees and aggregate their predictions using naive averaging. \citet{zhou2019deep} further propose a deep forest algorithm with multi-layer forests,…

Machine Learning · Computer Science 2025-02-04 Shen-Huan Lyu , Jin-Hui Wu , Qin-Cheng Zheng , Baoliu Ye

Dimensionality reduction is an essential technique for multi-way large-scale data, i.e., tensor. Tensor ring (TR) decomposition has become popular due to its high representation ability and flexibility. However, the traditional TR…

Numerical Analysis · Mathematics 2024-12-20 Longhao Yuan , Chao Li , Jianting Cao , Qibin Zhao

Tree-based ensemble methods, as Random Forests and Gradient Boosted Trees, have been successfully used for regression in many applications and research studies. Furthermore, these methods have been extended in order to deal with uncertainty…

Machine Learning · Computer Science 2018-11-20 Myriam Tami , Marianne Clausel , Emilie Devijver , Adrien Dulac , Eric Gaussier , Stefan Janaqi , Meriam Chebre