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We show how to construct the implied copula process of response values from a Bayesian additive regression tree (BART) model with prior on the leaf node variances. This copula process, defined on the covariate space, can be paired with any…

统计方法学 · 统计学 2026-01-14 Jan Martin Wenkel , Michael Stanley Smith , Nadja Klein

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) 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…

机器学习 · 统计学 2025-09-03 Jared D. Fisher

Dealing with missing data poses significant challenges in predictive analysis, often leading to biased conclusions when oversimplified assumptions about the missing data process are made. In cases where the data are missing not at random…

统计方法学 · 统计学 2024-12-20 Yong Chen Goh , Wuu Kuang Soh , Andrew C. Parnell , Keefe Murphy

Many time-to-event studies are complicated by the presence of competing risks. Such data are often analyzed using Cox models for the cause specific hazard function or Fine-Gray models for the subdistribution hazard. In practice regression…

统计方法学 · 统计学 2018-07-02 Rodney Sparapani , Brent R. Logan , Robert E. McCulloch , Purushottam W. Laud

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…

机器学习 · 统计学 2023-06-02 Hengrui Luo , Matthew T. Pratola

Count-compositional data arise in many different fields, including high-throughput sequencing experiments, ecological surveys, and palaeoclimate studies, where a common, important goal is to understand how covariates relate to the observed…

统计方法学 · 统计学 2026-04-10 André F. B. Menezes , Andrew C. Parnell , Keefe Murphy

The linear varying coefficient models posits a linear relationship between an outcome and covariates in which the covariate effects are modeled as functions of additional effect modifiers. Despite a long history of study and use in…

统计方法学 · 统计学 2024-09-26 Sameer K. Deshpande , Ray Bai , Cecilia Balocchi , Jennifer E. Starling , Jordan Weiss

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…

统计方法学 · 统计学 2023-02-27 Meijiang Wang , Jingyu He , P. Richard Hahn

Ensemble learning is a statistical paradigm built on the premise that many weak learners can perform exceptionally well when deployed collectively. The BART method of Chipman et al. (2010) is a prominent example of Bayesian ensemble…

机器学习 · 统计学 2018-10-08 Veronika Rockova , Enakshi Saha

BCART (Bayesian Classification and Regression Trees) and BART (Bayesian Additive Regression Trees) are popular Bayesian regression models widely applicable in modern regression problems. Their popularity is intimately tied to the ability to…

统计方法学 · 统计学 2023-05-19 Matthew T. Pratola , Edward I. George , Robert E. McCulloch

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

Using data collected on almost every 9-12 years old student in Uruguay, we show how to apply Bayesian Additive Regression Trees (BART) with random effects to study performance association with Learning Managment System (LMS) activity and…

应用统计 · 统计学 2025-07-09 Natalia da Silva , Bruno Tancredi , Ignacio Alvarez-Castro

Variable selection remains a fundamental challenge in statistics, especially in nonparametric settings where model complexity can obscure interpretability. Bayesian tree ensembles, particularly the popular Bayesian additive regression trees…

统计方法学 · 统计学 2025-09-10 Shengbin Ye , Meng Li

This article introduces BART with Targeted Smoothing, or tsBART, a new Bayesian tree-based model for nonparametric regression. The goal of tsBART is to introduce smoothness over a single target covariate t, while not necessarily requiring…

The development of driverless vehicles has spurred the need to predict human driving behavior to facilitate interaction between driverless and human-driven vehicles. Predicting human driving movements can be challenging, and poor prediction…

应用统计 · 统计学 2025-09-16 Yaoyuan Vincent Tan , Carol A. C. Flannagan , Michael R. Elliott

Nonparametric regression models such as Bayesian Additive Regression Trees (BART) can be useful in fitting flexible functions of a set of covariates to a response, while accounting for nonlinearities and interactions. However, they are…

统计方法学 · 统计学 2018-07-02 Bonifride Tuyishimire , Brent R Logan , Purushottam W Laud

Most clinical trials involve the comparison of a new treatment to a control arm (e.g., the standard of care) and the estimation of a treatment effect. External data, including historical clinical trial data and real-world observational…

统计方法学 · 统计学 2021-03-17 Tianjian Zhou , Yuan Ji

In modern computer experiment applications, one often encounters the situation where various models of a physical system are considered, each implemented as a simulator on a computer. An important question in such a setting is determining…

统计方法学 · 统计学 2023-05-08 John C. Yannotty , Thomas J. Santner , Richard J. Furnstahl , Matthew T. Pratola

Consider a scenario where we have access to train data with both covariates and outcomes while test data only contains covariates. In this scenario, our primary aim is to predict the missing outcomes of the test data. With this objective in…

统计方法学 · 统计学 2024-10-29 Masahiro Kato , Kota Matsui , Ryo Inokuchi