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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,…

统计计算 · 统计学 2025-11-26 Marco Battiston , Yu Luo

We present a novel prior for tree topology within Bayesian Additive Regression Trees (BART) models. This approach quantifies the hypothetical loss in information and the loss due to complexity associated with choosing the wrong tree…

统计方法学 · 统计学 2024-12-30 F. Serafini , F. Leisen , C. Villa , K. Wilson

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…

应用统计 · 统计学 2021-08-27 Hao Ran , Yang Bai

Understanding the association between dietary patterns and health outcomes, such as the cancer risk, is crucial to inform public health guidelines and shaping future dietary interventions. However, dietary intake data present several…

统计方法学 · 统计学 2025-10-10 Blake Hansen , Dafne Zorzetto , Valeria Edefonti , Roberta De Vito

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,…

机器学习 · 统计学 2026-02-10 Yan Shuo Tan , Omer Ronen , Theo Saarinen , Bin Yu

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…

机器学习 · 统计学 2019-03-15 Jingyu He , Saar Yalov , P. Richard Hahn

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…

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…

机器学习 · 统计学 2018-07-11 Edward George , Prakash Laud , Brent Logan , Robert McCulloch , Rodney Sparapani

Count data with an excessive number of zeros frequently arise in fields such as economics, medicine, and public health. Traditional count models often fail to adequately handle such data, especially when the relationship between the…

统计方法学 · 统计学 2026-02-25 María José Llop , Andrea Bergesio , Anne-Françoise Yao

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

Actuaries use predictive modeling techniques to assess the loss cost on a contract as a function of observable risk characteristics. State-of-the-art statistical and machine learning methods are not well equipped to handle hierarchically…

应用统计 · 统计学 2023-02-01 Bavo D. C. Campo , Katrien Antonio

In the fight against hard-to-treat diseases such as cancer, it is often difficult to discover new treatments that benefit all subjects. For regulatory agency approval, it is more practical to identify subgroups of subjects for whom the…

统计方法学 · 统计学 2014-10-09 Wei-Yin Loh , Xu He , Michael Man

We propose a fully Bayesian approach for causal inference with multivariate categorical data based on staged tree models, a class of probabilistic graphical models capable of representing asymmetric and context-specific dependencies. To…

统计方法学 · 统计学 2025-11-06 Andrea Cremaschi , Manuele Leonelli , Gherardo Varando

Classification and Regression Trees (CARTs) are off-the-shelf techniques in modern Statistics and Machine Learning. CARTs are traditionally built by means of a greedy procedure, sequentially deciding the splitting predictor variable(s) and…

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

The past two decades have seen a growing interest in combining causal information, commonly represented using causal graphs, with machine learning models. Probability trees provide a simple yet powerful alternative representation of causal…

机器学习 · 计算机科学 2022-05-18 Tue Herlau

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…

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

Two algorithms proposed by Leo Breiman : CART trees (Classification And Regression Trees for) introduced in the first half of the 80s and random forests emerged, meanwhile, in the early 2000s, are the subject of this article. The goal is to…

统计方法学 · 统计学 2017-01-23 Robin Genuer , Jean-Michel Poggi

Modern regression applications can involve hundreds or thousands of variables which motivates the use of variable selection methods. Bayesian variable selection defines a posterior distribution on the possible subsets of the variables…

统计方法学 · 统计学 2024-10-16 J. E. Griffin