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The study of dependence between random variables under external influences is a challenging problem in multivariate analysis. We address this by proposing a novel semi-parametric approach for conditional copula models using Bayesian…

Methodology · Statistics 2026-03-11 Tathagata Basu , Fabrizio Leisen , Cristiano Villa , Kevin Wilson

As the technology for building knowledge based systems has matured, important lessons have been learned about the relationship between the architecture of a system and the nature of the problems it is intended to solve. We are implementing…

Artificial Intelligence · Computer Science 2013-04-08 Lashon B. Booker , Naveen Hota , Connie Loggia Ramsey

This paper introduces Type 2 Tobit Bayesian Additive Regression Trees (TOBART-2). BART can produce accurate individual-specific treatment effect estimates. However, in practice estimates are often biased by sample selection. We extend the…

Econometrics · Economics 2025-11-04 Eoghan O'Neill

We perform Bayesian optimization using a Gaussian process perspective on Bayesian Additive Regression Trees (BART). Our BART Kernel (BARK) uses tree agreement to define a posterior over piecewise-constant functions, and we explore the space…

Machine Learning · Computer Science 2025-06-09 Toby Boyne , Jose Pablo Folch , Robert M Lee , Behrang Shafei , Ruth Misener

We propose a novel "tree-averaging" model that utilizes the ensemble of classification and regression trees (CART). Each constituent tree is estimated with a subset of similar data. We treat this grouping of subsets as Bayesian ensemble…

Machine Learning · Statistics 2014-08-20 Leo L. Duan , John P. Clancy , Rhonda D. Szczesniak

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…

Methodology · Statistics 2017-09-25 Brent R. Logan , Rodney Sparapani , Robert E. McCulloch , Purushottam W. Laud

Few methods in Bayesian non-parametric statistics/ machine learning have received as much attention as Bayesian Additive Regression Trees (BART). While BART is now routinely performed for prediction tasks, its theoretical properties began…

Statistics Theory · Mathematics 2019-05-10 Veronika Rockova

Many asymptotically minimax procedures for function estimation often rely on somewhat arbitrary and restrictive assumptions such as isotropy or spatial homogeneity. This work enhances the theoretical understanding of Bayesian additive…

Statistics Theory · Mathematics 2023-12-05 Seonghyun Jeong , Veronika Rockova

In longitudinal observational studies with time-to-event outcomes, a common objective in causal analysis is to estimate the causal survival curve under hypothetical intervention scenarios. The g-formula is a useful tool for this analysis.…

Methodology · Statistics 2025-04-14 Xinyuan Chen , Liangyuan Hu , Fan Li

This paper introduces BART-RDD, a sum-of-trees regression model built around a novel regression tree prior, which incorporates the special covariate structure of regression discontinuity designs. Specifically, the tree splitting process is…

Methodology · Statistics 2024-07-22 Rafael Alcantara , Meijia Wang , P. Richard Hahn , Hedibert Lopes

Vector autoregression (VAR) models are widely used for forecasting and macroeconomic analysis, yet they remain limited by their reliance on a linear parameterization. Recent research has introduced nonparametric alternatives, such as…

Methodology · Statistics 2025-03-19 Pedro A. Lima , Carlos M. Carvalho , Hedibert F. Lopes , Andrew Herren

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…

Methodology · Statistics 2024-09-26 Sameer K. Deshpande , Ray Bai , Cecilia Balocchi , Jennifer E. Starling , Jordan Weiss

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…

Methodology · Statistics 2024-12-30 F. Serafini , F. Leisen , C. Villa , K. Wilson

This article proposes a novel framework that integrates Bayesian Additive Regression Trees (BART) into a Factor-Augmented Vector Autoregressive (FAVAR) model to forecast macro-financial variables and examine asymmetries in the transmission…

Econometrics · Economics 2025-06-16 Sofia Velasco

To achieve the goal of providing the best possible care to each patient, physicians need to customize treatments for patients with the same diagnosis, especially when treating diseases that can progress further and require additional…

Methodology · Statistics 2022-10-25 Xiao Li , Brent R Logan , S M Ferdous Hossain , Erica E M Moodie

Multilabel Classification (MLC) deals with the simultaneous classification of multiple binary labels. The task is challenging because, not only may there be arbitrarily different and complex relationships between predictor variables and…

Methodology · Statistics 2026-01-15 Jiahao Tian , Hugh Chipman , Thomas Loughin

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…

Methodology · Statistics 2024-12-20 Yong Chen Goh , Wuu Kuang Soh , Andrew C. Parnell , Keefe Murphy

Ensemble of regression trees have become popular statistical tools for the estimation of conditional mean given a set of predictors. However, quantile regression trees and their ensembles have not yet garnered much attention despite the…

Machine Learning · Statistics 2016-07-12 Bereket P. Kindo , Hao Wang , Timothy Hanson , Edsel A. Peña

Using data collected on almost every 9-12 years old student in Uruguay, we show how to apply Bayesian Additive Regression Trees (BART) with random effects to study performance association with Learning Managment System (LMS) activity and…

Applications · Statistics 2025-07-09 Natalia da Silva , Bruno Tancredi , Ignacio Alvarez-Castro

In light of widespread evidence of parameter instability in macroeconomic models, many time-varying parameter (TVP) models have been proposed. This paper proposes a nonparametric TVP-VAR model using Bayesian additive regression trees (BART)…

Econometrics · Economics 2023-05-08 Niko Hauzenberger , Florian Huber , Gary Koop , James Mitchell
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