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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…

统计方法学 · 统计学 2018-07-11 Matthew Pratola , Hugh Chipman , Edward George , Robert McCulloch

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…

统计方法学 · 统计学 2020-03-02 Chenyang Gu , Michael J. Lopez , Liangyuan Hu

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

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…

机器学习 · 统计学 2023-10-24 Hao Ran , Yang Bai

Techniques to reduce the energy burden of an industrial ecosystem often require solving a multiobjective optimization problem. However, collecting experimental data can often be either expensive or time-consuming. In such cases, statistical…

机器学习 · 计算机科学 2021-09-07 Akira Horiguchi , Thomas J. Santner , Ying Sun , Matthew T. Pratola

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…

统计方法学 · 统计学 2022-11-01 Antonio R. Linero

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

The effectiveness of Bayesian Additive Regression Trees (BART) has been demonstrated in a variety of contexts including non-parametric regression and classification. A BART scheme for estimating the intensity of inhomogeneous Poisson…

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…

统计方法学 · 统计学 2021-08-27 Hao Ran , Yang Bai

We consider the task of discovering gene regulatory networks, which are defined as sets of genes and the corresponding transcription factors which regulate their expression levels. This can be viewed as a variable selection problem,…

统计方法学 · 统计学 2014-12-04 Justin Bleich , Adam Kapelner , Edward I. George , Shane T. Jensen

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

We present a method for incorporating missing data in non-parametric statistical learning without the need for imputation. We focus on a tree-based method, Bayesian Additive Regression Trees (BART), enhanced with "Missingness Incorporated…

机器学习 · 统计学 2014-02-14 Adam Kapelner , Justin Bleich

Vector autoregressive (VAR) models assume linearity between the endogenous variables and their lags. This assumption might be overly restrictive and could have a deleterious impact on forecasting accuracy. As a solution, we propose…

计量经济学 · 经济学 2021-03-10 Florian Huber , Luca Rossini

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

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

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

General circulation models (GCMs) are essential tools for climate studies. Such climate models may have varying accuracy across the input domain, but no model is uniformly best. One can improve climate model prediction performance by…

统计方法学 · 统计学 2026-01-27 John C. Yannotty , Thomas J. Santner , Bo Li , Matthew T. Pratola

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…

统计方法学 · 统计学 2026-03-09 Antonio R. Linero , Soumyabrata Bose , Jared Murray

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

In recent years, theoretical results and simulation evidence have shown Bayesian additive regression trees to be a highly-effective method for nonparametric regression. Motivated by cost-effectiveness analyses in health economics, where…