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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…

Methodology · Statistics 2020-08-14 Berent Ånund Strømnes Lunde , Tore Selland Kleppe , Hans Julius Skaug

Gradient boosting, a method of building additive ensembles from weak learners, has established itself as a practical and theoretically-motivated approach to approximate functions, especially using decision tree weak learners. Comparable…

Machine Learning · Computer Science 2026-03-26 Abhijit Chowdhary , Elizabeth Newman , Deepanshu Verma

lcensemble is a high-performing, scalable and user-friendly Python package for the general tasks of classification and regression. The package implements Local Cascade Ensemble (LCE), a machine learning method that further enhances the…

Machine Learning · Computer Science 2023-08-17 Kevin Fauvel , Élisa Fromont , Véronique Masson , Philippe Faverdin , Alexandre Termier

Statistical boosting algorithms have triggered a lot of research during the last decade. They combine a powerful machine-learning approach with classical statistical modelling, offering various practical advantages like automated variable…

Under stringent model type and variable distribution assumptions, differentiable score-based causal discovery methods learn a directed acyclic graph (DAG) from observational data by evaluating candidate graphs over an average score…

Machine Learning · Computer Science 2023-03-07 An Zhang , Fangfu Liu , Wenchang Ma , Zhibo Cai , Xiang Wang , Tat-seng Chua

In this paper we propose using the principle of boosting to reduce the bias of a random forest prediction in the regression setting. From the original random forest fit we extract the residuals and then fit another random forest to these…

Machine Learning · Statistics 2021-02-25 Indrayudh Ghosal , Giles Hooker

Code generation is increasingly critical for real-world applications. Still, diffusion-based large language models continue to struggle with this demand. Unlike free-form text, code requires syntactic precision; even minor structural…

Computation and Language · Computer Science 2026-01-07 Yiming Zeng , Jinghan Cao , Zexin Li , Yiming Chen , Tao Ren , Zhuochun Li , Dawei Xiang , Xidong Wu , Shangqian Gao , Tingting Yu

Learning high-quality oblique decision trees remains a significant challenge due to the discrete and non-convex nature of split optimization. We present the Hinge Regression Tree (HRT) framework, which reframes each oblique split as a…

Machine Learning · Computer Science 2026-05-25 Hongyi Li , Jun Xu , Hong Yan

Decision trees and their ensembles are popular in machine learning as easy-to-understand models. Several techniques have been proposed in the literature for learning tree-based classifiers, with different techniques working well for data…

Machine Learning · Computer Science 2025-05-20 Maria-Florina Balcan , Dravyansh Sharma

Bayesian Additive Regression Trees (BART) are a powerful ensemble learning technique for modeling nonlinear regression functions. Although initially BART was proposed for predicting only continuous and binary response variables, over the…

Statistics Theory · Mathematics 2026-03-24 Enakshi Saha

Motivated by recent developments in optical switching and reconfigurable network design, we study dynamic binary search trees (BSTs) in the matching model. In the classical dynamic BST model, the cost of both link traversal and basic…

Data Structures and Algorithms · Computer Science 2020-12-29 Chen Avin

Stacking, a potent ensemble learning method, leverages a meta-model to harness the strengths of multiple base models, thereby enhancing prediction accuracy. Traditional stacking techniques typically utilize established learning models, such…

Machine Learning · Computer Science 2024-10-31 Wei Wu , Liang Tang , Zhongjie Zhao , Chung-Piaw Teo

Boosting algorithms are frequently used in applied data science and in research. To date, the distinction between boosting with either gradient descent or second-order Newton updates is often not made in both applied and methodological…

Machine Learning · Statistics 2020-10-21 Fabio Sigrist

Classification and Regression Tree (CART), Random Forest (RF) and Gradient Boosting Tree (GBT) are probably the most popular set of statistical learning methods. However, their statistical consistency can only be proved under very…

Statistics Theory · Mathematics 2025-02-17 Haoran Zhan , Yu Liu , Yingcun Xia

Needless to say, linear dynamics are pervasive in economic time series, particularly autoregressive ones. While gradient boosting with trees excels at capturing nonlinearities, it is inefficient in small samples when much of the predictive…

Econometrics · Economics 2026-05-12 Philippe Goulet Coulombe

High-risk artificial intelligence and machine learning classification tasks, such as healthcare diagnosis, require accurate and interpretable prediction models. However, classifier algorithms typically sacrifice individual case-accuracy for…

Machine Learning · Computer Science 2025-05-20 Alice Williams , Boris Kovalerchuk

In this article, we propose a novel strategy for conducting variable selection without prior model topology knowledge using the knockoff method with boosted tree models. Our method is inspired by the original knockoff method, where the…

Methodology · Statistics 2020-02-24 Tao Jiang , Yuanyuan Li , Alison A. Motsinger-Reif

Gradient Boosting Machines (GBM) are hugely popular for solving tabular data problems. However, practitioners are not only interested in point predictions, but also in probabilistic predictions in order to quantify the uncertainty of the…

Machine Learning · Computer Science 2021-06-08 Olivier Sprangers , Sebastian Schelter , Maarten de Rijke

Gradient boosted decision trees are some of the most popular algorithms in applied machine learning. They are a flexible and powerful tool that can robustly fit to any tabular dataset in a scalable and computationally efficient way. One of…

Machine Learning · Computer Science 2023-01-26 Daniel de Marchi , Matthew Welch , Michael Kosorok

Stochastic gradient-boosted decision trees are widely employed for multivariate classification and regression tasks. This paper presents a speed-optimized and cache-friendly implementation for multivariate classification called FastBDT.…

Machine Learning · Computer Science 2016-09-21 Thomas Keck