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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…

Methodology · Statistics 2018-07-11 Matthew Pratola , Hugh Chipman , Edward George , Robert McCulloch

We study explained variation under the additive hazards regression model for right-censored data. We consider different approaches for developing such a measure, and focus on one that estimates the proportion of variation in the failure…

Applications · Statistics 2020-09-02 Denise Rava , Ronghui Xu

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…

Machine Learning · Statistics 2024-11-14 Paul-Hieu V. Nguyen , Ryan Yee , Sameer K. Deshpande

Survival analysis is a widely used statistical framework for modeling time-to-event data under censoring. Classical methods, such as the Cox proportional hazards (Cox PH) model, offer a semiparametric approach to estimating the effects of…

Machine Learning · Statistics 2026-04-23 Yang Xu , Wenbin Lu , Rui Song

Bayesian paradigm takes advantage of well fitting complicated survival models and feasible computing in survival analysis owing to the superiority in tackling the complex censoring scheme, compared with the frequentist paradigm. In this…

Methodology · Statistics 2021-09-10 Chong Zhong , Zhihua Ma , Junshan Shen , Catherine Liu

Graphical models are commonly used to discover associations within gene or protein networks for complex diseases such as cancer. Most existing methods estimate a single graph for a population, while in many cases, researchers are interested…

Bayesian Additive Regression Trees (BART) is a popular Bayesian non-parametric regression algorithm. The posterior is a distribution over sums of decision trees, and predictions are made by averaging approximate samples from the posterior.…

Machine Learning · Statistics 2022-10-19 Omer Ronen , Theo Saarinen , Yan Shuo Tan , James Duncan , Bin Yu

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

Proportional hazards (PH), proportional odds (PO) and accelerated failure time (AFT) models have been widely used to deal with survival data in different fields of knowledge. Despite their popularity, such models are not suitable to handle…

Methodology · Statistics 2019-10-08 Fabio N. Demarqui , Vinicius D. Mayrink

Frequentist and Bayesian methods differ in many aspects, but share some basic optimal properties. In real-life classification and regression problems, situations exist in which a model based on one of the methods is preferable based on some…

Methodology · Statistics 2023-08-29 Tanujit Chakraborty , Gauri Kamat , Ashis Kumar Chakraborty

Decisions based upon pairwise comparisons of multiple treatments are naturally performed in terms of the mean survival of the selected study arms or functions thereof. However, synthesis of treatment comparisons is usually performed on…

Applications · Statistics 2025-12-11 Anastasios Apsemidis , Dimitris Mavridis , Nikolaos Demiris

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…

Statistics Theory · Mathematics 2022-11-15 Stamatina Lamprinakou , Mauricio Barahona , Seth Flaxman , Sarah Filippi , Axel Gandy , Emma McCoy

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…

Methodology · Statistics 2025-09-10 Shengbin Ye , Meng Li

Parameter ensembles or sets of random effects constitute one of the cornerstones of modern statistical practice. This is especially the case in Bayesian hierarchical models, where several decision theoretic frameworks can be deployed. The…

Statistics Theory · Mathematics 2015-03-19 Cedric E. Ginestet

Bayesian Causal Forests (BCF) is a causal inference machine learning model based on a highly flexible non-parametric regression and classification tool called Bayesian Additive Regression Trees (BART). Motivated by data from the Trends in…

Machine Learning · Statistics 2023-03-10 Nathan McJames , Andrew Parnell , Yong Chen Goh , Ann O'Shea

Heart failure is a life-threatening condition that affects millions of people worldwide. The ability to accurately predict patient survival can aid in early intervention and improve patient outcomes. In this study, we explore the potential…

Machine Learning · Computer Science 2023-08-14 Md. Simul Hasan Talukder , Rejwan Bin Sulaiman , Mouli Bardhan Paul Angon

Using ensemble methods for regression has been a large success in obtaining high-accuracy prediction. Examples are Bagging, Random forest, Boosting, BART (Bayesian additive regression tree), and their variants. In this paper, we propose a…

Machine Learning · Computer Science 2019-11-06 Yuhao Su , Jie Ding

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…

Econometrics · Economics 2021-03-10 Florian Huber , Luca Rossini

Prediction of patient survival using high-dimensional multi-omics data requires systematic feature selection methods that ensure predictive performance, sparsity, and reliability for prognostic biomarker discovery. We developed a hybrid…

Genomics · Quantitative Biology 2026-04-15 John Zobolas , Anne-Marie George , Alberto López , Sebastian Fischer , Marc Becker , Tero Aittokallio

Cure models have been widely developed to estimate the cure fraction when some subjects never experience the event of interest. However these models were rarely focused on the estimation of the time-to-cure i.e. the delay elapsed between…