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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

Bayesian Additive Regression Trees (BART) is a tree-based machine learning method that has been successfully applied to regression and classification problems. BART assumes regularisation priors on a set of trees that work as weak learners…

Machine Learning · Statistics 2022-06-07 Estevão B. Prado , Rafael A. Moral , Andrew C. Parnell

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

In the era of precision medicine, genome-wide epigenetic modifications offer rich data that could inform risk prediction. However, these data are high-dimensional and exhibit complex dependence structures, which makes it difficult to…

Applications · Statistics 2026-05-25 Saurabh Bhandari , Parveen Bhatti , Brian C. -H. Chiu , Yuan Ji

Bayesian Additive Regression Trees (BART) is a popular Bayesian non-parametric regression model that is commonly used in causal inference and beyond. Its strong predictive performance is supported by well-developed estimation theory,…

Machine Learning · Statistics 2026-02-10 Yan Shuo Tan , Omer Ronen , Theo Saarinen , Bin Yu

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.…

Methodology · Statistics 2025-08-08 Ryan Yee , Soham Ghosh , Sameer K. Deshpande

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…

Methodology · Statistics 2026-03-10 Kevin McCoy , Zachary Wooten , Christine B. Peterson

We introduce Targeted Smooth Bayesian Causal Forests (tsBCF), a nonparametric Bayesian approach for estimating heterogeneous treatment effects which vary smoothly over a single covariate in the observational data setting. The tsBCF method…

Bayesian additive regression trees (BART) (Chipman et. al., 2010) is a powerful predictive model that often outperforms alternative models at out-of-sample prediction. BART is especially well-suited to settings with unstructured predictor…

Machine Learning · Statistics 2019-03-15 Jingyu He , Saar Yalov , P. Richard Hahn

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

Tree-based regression and classification has become a standard tool in modern data science. Bayesian Additive Regression Trees (BART) has in particular gained wide popularity due its flexibility in dealing with interactions and non-linear…

Computation · Statistics 2022-09-13 Alan Inglis , Andrew Parnell , Catherine Hurley

We develop a Bayesian "sum-of-trees" model where each tree is constrained by a regularization prior to be a weak learner, and fitting and inference are accomplished via an iterative Bayesian backfitting MCMC algorithm that generates samples…

Methodology · Statistics 2010-10-08 Hugh A. Chipman , Edward I. George , Robert E. McCulloch

In many longitudinal studies, the covariate and response are often intermittently observed at irregular, mismatched and subject-specific times. How to deal with such data when covariate and response are observed asynchronously is an often…

Methodology · Statistics 2021-08-27 Hao Ran , Yang Bai

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

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…

Machine Learning · Statistics 2021-06-04 Jingyu He , P. Richard Hahn

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 .In spatio-temporal related model,the spatio or…

Computation · Statistics 2021-08-13 Hao Ran , Yang Bai

Bayesian Additive Regression Trees (BART) of Chipman et al. (2010) has proven to be a powerful tool for nonparametric modeling and prediction. Monotone BART (Chipman et al., 2022) is a recent development that allows BART to be more precise…

Machine Learning · Statistics 2025-09-03 Jared D. Fisher

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…

Methodology · Statistics 2025-06-03 Jiahao Cao , Shiyuan He , Bohai Zhang

Bayesian Additive Regression Trees(BART) is a Bayesian nonparametric approach which has been shown to be competitive with the best modern predictive methods such as random forest and Gradient Boosting Decision Tree.The sum of trees…

Applications · Statistics 2021-08-27 Hao Ran , Yang Bai

In this paper we develop the randomized Sharded Bayesian Additive Regression Trees (SBT) model. We introduce a randomization auxiliary variable and a sharding tree to decide partitioning of data, and fit each partition component to a…

Machine Learning · Statistics 2023-06-02 Hengrui Luo , Matthew T. Pratola
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