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This paper develops a novel stochastic tree ensemble method for nonlinear regression, which we refer to as XBART, short for Accelerated Bayesian Additive Regression Trees. By combining regularization and stochastic search strategies from…

机器学习 · 统计学 2021-06-04 Jingyu He , P. Richard Hahn

Although it is an extremely effective, easy-to-use, and increasingly popular tool for nonparametric regression, the Bayesian Additive Regression Trees (BART) model is limited by the fact that it can only produce discontinuous output.…

统计方法学 · 统计学 2025-08-08 Ryan Yee , Soham Ghosh , Sameer K. Deshpande

Bayesian Additive Regression Trees (BART) is a powerful statistical model that leverages the strengths of Bayesian inference and regression trees. It has received significant attention for capturing complex non-linear relationships and…

机器学习 · 统计学 2026-04-01 Seokhun Park , Insung Kong , Yongdai Kim

For the discovery of regression relationships between Y and a large set of p potential predictors x 1 , . . . , x p , the flexible nonparametric nature of BART (Bayesian Additive Regression Trees) allows for a much richer set of…

其他统计学 · 统计学 2021-10-11 Hugh A. Chipman , Edward I. George , Robert E. McCulloch , Thomas S. Shively

Bayesian additive regression trees (BART) are popular Bayesian ensemble models used in regression and classification analysis. Under this modeling framework, the regression function is approximated by an ensemble of decision trees,…

统计计算 · 统计学 2025-11-26 Marco Battiston , Yu Luo

Bayesian Additive Regression Trees (BART) is a flexible machine learning algorithm capable of capturing nonlinearities between an outcome and covariates and interaction among covariates. We extend BART to a semiparametric regression…

应用统计 · 统计学 2018-06-13 Bret Zeldow , Vincent Lo Re , Jason Roy

Measurement error is prevalent across all domains of scientific research where only imprecise observations, rather than the true underlying values, can be obtained. For example, estimates of human microbiome diversity are based on small…

统计方法学 · 统计学 2026-03-10 Kevin McCoy , Zachary Wooten , Christine B. Peterson

Bayesian additive regression trees (BART) is a regression technique developed by Chipman et al. (2008). Its usefulness in standard regression settings has been clearly demonstrated, but it has not been applied to time series analysis as…

应用统计 · 统计学 2018-04-06 Sean van der Merwe

Ensemble decision tree methods such as XGBoost, Random Forest, and Bayesian Additive Regression Trees (BART) have gained enormous popularity in data science for their superior performance in machine learning regression and classification…

统计方法学 · 统计学 2025-09-10 Shuren He , Huiyan Sang , Quan Zhou

We propose a simple yet powerful extension of Bayesian Additive Regression Trees which we name Hierarchical Embedded BART (HE-BART). The model allows for random effects to be included at the terminal node level of a set of regression trees,…

统计方法学 · 统计学 2023-04-25 Bruna Wundervald , Andrew Parnell , Katarina Domijan

Current implementations of Bayesian Additive Regression Trees (BART) are based on axis-aligned decision rules that recursively partition the feature space using a single feature at a time. Several authors have demonstrated that oblique…

机器学习 · 统计学 2024-11-14 Paul-Hieu V. Nguyen , Ryan Yee , Sameer K. Deshpande

Most implementations of Bayesian additive regression trees (BART) one-hot encode categorical predictors, replacing each one with several binary indicators, one for every level or category. Regression trees built with these indicators…

统计方法学 · 统计学 2024-08-14 Sameer K. Deshpande

We develop a semiparametric framework for inference on the mean response in missing-data settings using a corrected posterior distribution. Our approach is tailored to Bayesian Additive Regression Trees (BART), which is a powerful…

统计方法学 · 统计学 2025-10-21 Christoph Breunig , Ruixuan Liu , Zhengfei Yu

This article proposes Multinomial Probit Bayesian Additive Regression Trees (MPBART) as a multinomial probit extension of BART - Bayesian Additive Regression Trees (Chipman et al (2010)). MPBART is flexible to allow inclusion of predictors…

机器学习 · 统计学 2016-02-09 Bereket P. Kindo , Hao Wang , Edsel A. Peña

We apply Bayesian Additive Regression Tree (BART) principles to training an ensemble of small neural networks for regression tasks. Using Markov Chain Monte Carlo, we sample from the posterior distribution of neural networks that have a…

机器学习 · 统计学 2024-04-09 Danielle Van Boxel

We propose some extensions to semi-parametric models based on Bayesian additive regression trees (BART). In the semi-parametric BART paradigm, the response variable is approximated by a linear predictor and a BART model, where the linear…

Flexibly modeling how an entire density changes with covariates is an important but challenging generalization of mean and quantile regression. While existing methods for density regression primarily consist of covariate-dependent discrete…

统计方法学 · 统计学 2021-12-24 Vittorio Orlandi , Jared Murray , Antonio Linero , Alexander Volfovsky

We introduce Bayesian additive regression trees (BART) for log-linear models including multinomial logistic regression and count regression with zero-inflation and overdispersion. BART has been applied to nonparametric mean regression and…

统计方法学 · 统计学 2019-08-28 Jared S. Murray

We present a new package in R implementing Bayesian additive regression trees (BART). The package introduces many new features for data analysis using BART such as variable selection, interaction detection, model diagnostic plots,…

机器学习 · 统计学 2014-11-25 Adam Kapelner , Justin Bleich

Motivated by the remarkable success of Bayesian additive regression trees (BART) in regression modelling, we propose a novel nonparametric Bayesian method, termed Functional BART (FBART), tailored specifically for function-on-scalar…

统计方法学 · 统计学 2025-06-03 Jiahao Cao , Shiyuan He , Bohai Zhang