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Bayesian Additive Regression Trees [BART, Chipman et al., 2010] have gained significant popularity due to their remarkable predictive performance and ability to quantify uncertainty. However, standard decision tree models rely on recursive…

机器学习 · 统计学 2025-01-20 Stamatina Lamprinakou , Huiyan Sang , Bledar A. Konomi , Ligang Lu

There is a dearth of robust methods to estimate the causal effects of multiple treatments when the outcome is binary. This paper uses two unique sets of simulations to propose and evaluate the use of Bayesian Additive Regression Trees…

统计方法学 · 统计学 2020-01-22 Liangyuan Hu , Chenyang Gu , Michael Lopez , Jiayi Ji , Juan Wisnivesky

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

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

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…

统计方法学 · 统计学 2023-08-29 Tanujit Chakraborty , Gauri Kamat , Ashis Kumar Chakraborty

Healthcare decision-making often requires selecting among treatment options under budget constraints, particularly when one option is more effective but also more costly. Cost-effectiveness analysis (CEA) provides a framework for evaluating…

计量经济学 · 经济学 2025-07-29 Jonas Esser , Mateus Maia , Judith Bosmans , Johanna van Dongen

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.…

统计计算 · 统计学 2013-12-09 M. T. Pratola

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

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

The multinomial probit Bayesian additive regression trees (MPBART) framework was proposed by Kindo et al. (KD), approximating the latent utilities in the multinomial probit (MNP) model with BART (Chipman et al. 2010). Compared to…

统计方法学 · 统计学 2022-08-16 Yizhen Xu , Joseph W. Hogan , Michael J. Daniels , Rami Kantor , Ann Mwangi

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

Estimation of individualized treatment effects (ITE), also known as conditional average treatment effects (CATE), is an active area of methodology development. However, much less attention has been paid to the quantification of uncertainty…

统计方法学 · 统计学 2025-04-08 Daijiro Kabata , Nicholas C. Henderson , Ravi Varadhan

The success of Bayesian inference with MCMC depends critically on Markov chains rapidly reaching the posterior distribution. Despite the plentitude of inferential theory for posteriors in Bayesian non-parametrics, convergence properties of…

统计理论 · 数学 2023-06-02 Jungeum Kim , Veronika Rockova

This paper presents a novel approach to enhance the Binary-Addition-Tree algorithm (BAT) by integrating incremental learning techniques. BAT, known for its simplicity in development, implementation, and application, is a powerful implicit…

机器学习 · 计算机科学 2024-09-25 Wei-Chang Yeh

Individualized treatment rules (ITR) can improve health outcomes by recognizing that patients may respond differently to treatment and assigning therapy with the most desirable predicted outcome for each individual. Flexible and efficient…

统计方法学 · 统计学 2017-09-25 Brent R. Logan , Rodney Sparapani , Robert E. McCulloch , Purushottam W. Laud

We develop a Bayesian non-parametric quantile panel regression model. Within each quantile, the response function is a convex combination of a linear model and a non-linear function, which we approximate using Bayesian Additive Regression…

计量经济学 · 经济学 2021-10-08 Todd E. Clark , Florian Huber , Gary Koop , Massimiliano Marcellino , Michael Pfarrhofer

Bayesian quadrature (BQ) is a method for solving numerical integration problems in a Bayesian manner, which allows users to quantify their uncertainty about the solution. The standard approach to BQ is based on a Gaussian process (GP)…

统计方法学 · 统计学 2021-12-03 Harrison Zhu , Xing Liu , Ruya Kang , Zhichao Shen , Seth Flaxman , François-Xavier Briol

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

Multiple Additive Regression Trees (MART), an ensemble model of boosted regression trees, is known to deliver high prediction accuracy for diverse tasks, and it is widely used in practice. However, it suffers an issue which we call…

机器学习 · 计算机科学 2015-05-11 K. V. Rashmi , Ran Gilad-Bachrach

This paper introduces a generalized ps-BART model for the estimation of Average Treatment Effect (ATE) and Conditional Average Treatment Effect (CATE) in continuous treatments, addressing limitations of the Bayesian Causal Forest (BCF)…

机器学习 · 统计学 2024-09-11 Hugo Gobato Souto , Francisco Louzada Neto