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We present a Bayesian nonparametric model for conditional distribution estimation using Bayesian additive regression trees (BART). The generative model we use is based on rejection sampling from a base model. Typical of BART models, our…

Methodology · Statistics 2022-02-02 Yinpu Li , Antonio R. Linero , Jared S. Murray

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…

Applications · Statistics 2018-06-13 Bret Zeldow , Vincent Lo Re , Jason Roy

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…

Machine Learning · Statistics 2026-04-01 Seokhun Park , Insung Kong , Yongdai Kim

There is currently a dearth of appropriate methods to estimate the causal effects of multiple treatments when the outcome is binary. For such settings, we propose the use of nonparametric Bayesian modeling, Bayesian Additive Regression…

Methodology · Statistics 2020-03-02 Chenyang Gu , Michael J. Lopez , Liangyuan Hu

BART (Bayesian Additive Regression Trees) has become increasingly popular as a flexible and scalable nonparametric regression approach for modern applied statistics problems. For the practitioner dealing with large and complex nonlinear…

Methodology · Statistics 2018-07-11 Matthew Pratola , Hugh Chipman , Edward George , Robert McCulloch

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…

Methodology · Statistics 2019-08-28 Jared S. Murray

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…

Methodology · Statistics 2021-12-24 Vittorio Orlandi , Jared Murray , Antonio Linero , Alexander Volfovsky

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…

Machine Learning · Statistics 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…

Methodology · Statistics 2024-08-14 Sameer K. Deshpande

Distribution regression, where the goal is to predict a scalar response from a distribution-valued predictor, arises naturally in settings where observations are grouped and outcomes depend on group-level characteristics rather than on…

Methodology · Statistics 2026-03-09 Antonio R. Linero , Soumyabrata Bose , Jared Murray

Bayesian additive regression tree (BART) models have seen increased attention in recent years as a general-purpose nonparametric modeling technique. BART combines the flexibility of modern machine learning techniques with the principled…

Methodology · Statistics 2022-11-01 Antonio R. Linero

Bayes additive regression trees(BART) is a nonparametric regression model which has gained wide-spread popularity in recent years due to its flexibility and high accuracy of estimation. Soft BART,one variation of BART,improves both…

Machine Learning · Statistics 2023-10-24 Hao Ran , Yang Bai

Variable selection is an important statistical problem. This problem becomes more challenging when the candidate predictors are of mixed type (e.g. continuous and binary) and impact the response variable in nonlinear and/or non-additive…

Methodology · Statistics 2021-12-30 Chuji Luo , Michael J. Daniels

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…

Machine Learning · Statistics 2026-03-10 Estevão B. Prado , Andrew C. Parnell , Keefe Murphy , Nathan McJames , Ann O'Shea , Rafael A. Moral

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…

Methodology · Statistics 2025-09-10 Shuren He , Huiyan Sang , Quan Zhou

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…

Methodology · Statistics 2025-10-21 Christoph Breunig , Ruixuan Liu , Zhengfei Yu

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,…

Methodology · Statistics 2023-04-25 Bruna Wundervald , Andrew Parnell , Katarina Domijan

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…

Machine Learning · Statistics 2024-04-09 Danielle Van Boxel

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…

Applications · Statistics 2018-04-06 Sean van der Merwe

Bayesian additive regression trees (BART) is a semi-parametric regression model offering state-of-the-art performance on out-of-sample prediction. Despite this success, standard implementations of BART typically provide inaccurate…

Methodology · Statistics 2023-02-27 Meijiang Wang , Jingyu He , P. Richard Hahn