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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,…

Computation · Statistics 2025-11-26 Marco Battiston , Yu Luo

We present Spanning Tree Autoregressive (STAR) modeling, which can incorporate prior knowledge of images, such as center bias and locality, to maintain sampling performance while also providing sufficiently flexible sequence orders to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Sangkyu Lee , Changho Lee , Janghoon Han , Hosung Song , Tackgeun You , Hwasup Lim , Stanley Jungkyu Choi , Honglak Lee , Youngjae Yu

Traditional Smooth Transition Autoregressive (STAR) models offer an effective way to model these dynamics through smooth regime changes based on specific transition variables. In this paper, we propose a novel approach by drawing an analogy…

Machine Learning · Computer Science 2025-02-03 Hugo Inzirillo , Remi Genet

Bayesian Additive Regression Trees (BART) is a Bayesian approach to flexible non-linear regression which has been shown to be competitive with the best modern predictive methods such as those based on bagging and boosting. BART offers some…

"For how many days during the past 30 days was your mental health not good?" The responses to this question measure self-reported mental health and can be linked to important covariates in the National Health and Nutrition Examination…

Methodology · Statistics 2021-10-14 Daniel R. Kowal , Bohan Wu

Tensors are becoming prevalent in modern applications such as medical imaging and digital marketing. In this paper, we propose a sparse tensor additive regression (STAR) that models a scalar response as a flexible nonparametric function of…

Machine Learning · Statistics 2021-03-08 Botao Hao , Boxiang Wang , Pengyuan Wang , Jingfei Zhang , Jian Yang , Will Wei Sun

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

We introduce STAR, a text-to-image model that employs a scale-wise auto-regressive paradigm. Unlike VAR, which is constrained to class-conditioned synthesis for images up to 256$\times$256, STAR enables text-driven image generation up to…

Computer Vision and Pattern Recognition · Computer Science 2025-02-20 Xiaoxiao Ma , Mohan Zhou , Tao Liang , Yalong Bai , Tiejun Zhao , Biye Li , Huaian Chen , Yi Jin

Human mobility forecasting in a city is of utmost importance to transportation and public safety, but with the process of urbanization and the generation of big data, intensive computing and determination of mobility pattern have become…

Machine Learning · Computer Science 2019-08-16 Hongnian Wang , Han Su

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

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

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

Bayesian Additive Regression Trees (BART) are a powerful ensemble learning technique for modeling nonlinear regression functions. Although initially BART was proposed for predicting only continuous and binary response variables, over the…

Statistics Theory · Mathematics 2026-03-24 Enakshi Saha

Bayesian regression trees are flexible non-parametric models that are well suited to many modern statistical regression problems. Many such tree models have been proposed, from the simple single- tree model to more complex tree ensembles.…

Computation · Statistics 2013-12-09 M. T. Pratola

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

Bayesian additive regression trees (BART) is a flexible prediction model/machine learning approach that has gained widespread popularity in recent years. As BART becomes more mainstream, there is an increased need for a paper that walks…

Applications · Statistics 2025-09-18 Yaoyuan Vincent Tan , Jason Roy

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

The Bayesian additive regression trees (BART) model is an ensemble method extensively and successfully used in regression tasks due to its consistently strong predictive performance and its ability to quantify uncertainty. BART combines…

Methodology · Statistics 2023-09-18 Mateus Maia , Keefe Murphy , Andrew C. Parnell

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

Bayesian Additive Regression Trees (BART) is a fully Bayesian approach to modeling with ensembles of trees. BART can uncover complex regression functions with high dimensional regressors in a fairly automatic way and provide Bayesian…

Machine Learning · Statistics 2018-07-11 Edward George , Prakash Laud , Brent Logan , Robert McCulloch , Rodney Sparapani
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