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Motivated by the Acute Respiratory Distress Syndrome Network (ARDSNetwork) ARDS respiratory management (ARMA) trial, we developed a flexible Bayesian machine learning approach to estimate the average causal effect and heterogeneous causal…

Applications · Statistics 2024-10-29 Xinyuan Chen , Michael O. Harhay , Guangyu Tong , Fan Li

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

Alcohol Use Disorder (AUD) treatment presents high individual-level heterogeneity, with outcomes ranging from complete abstinence to persistent heavy drinking. This variability-driven by complex behavioral, social, and environmental…

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…

Methodology · Statistics 2022-08-16 Yizhen Xu , Joseph W. Hogan , Michael J. Daniels , Rami Kantor , Ann Mwangi

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

Analysing dependent risks is an important task for insurance companies. A dependency is reflected in the fact that information about one random variable provides information about the likely distribution of values of another random…

Applications · Statistics 2021-03-22 Sen Hu , Adrian O'Hagan

Machine learning models used in medical applications often face challenges due to the covariate shift, which occurs when there are discrepancies between the distributions of training and target data. This can lead to decreased predictive…

Machine Learning · Computer Science 2024-12-24 Mingyang Cai , Thomas Klausch , Mark A. van de Wiel

Prior work has shown that combining bootstrap imputation with tree-based machine learning variable selection methods can provide good performances achievable on fully observed data when covariate and outcome data are missing at random…

Methodology · Statistics 2022-04-14 Jung-Yi Joyce Lin , Liangyuan Hu , Chuyue Huang , Steven Lawrence , Usha Govindarajulu

Method comparison studies explore the agreement of measurements made by two or more methods. Commonly, agreement is evaluated by the well-established Bland-Altman analysis. However, the underlying assumption is that differences between…

Methodology · Statistics 2023-06-08 Siranush Karapetyan , Achim Zeileis , André Henriksen , Alexander Hapfelmeier

We propose a highly flexible distributional copula regression model for bivariate time-to-event data in the presence of right-censoring. The joint survival function of the response is constructed using parametric copulas, allowing for a…

Methodology · Statistics 2024-12-23 Guillermo Briseno-Sanchez , Nadja Klein , Andreas Groll , Andreas Mayr

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

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 present a new package in R implementing Bayesian additive regression trees (BART). The package introduces many new features for data analysis using BART such as variable selection, interaction detection, model diagnostic plots,…

Machine Learning · Statistics 2014-11-25 Adam Kapelner , Justin Bleich

Ensembles of decision trees are a useful tool for obtaining for obtaining flexible estimates of regression functions. Examples of these methods include gradient boosted decision trees, random forests, and Bayesian CART. Two potential…

Methodology · Statistics 2018-09-18 Antonio Ricardo Linero , Yun Yang

The preponderance of large-scale healthcare databases provide abundant opportunities for comparative effectiveness research. Evidence necessary to making informed treatment decisions often relies on comparing effectiveness of multiple…

Methodology · Statistics 2020-10-06 Liangyuan Hu , Chenyang Gu

Decision trees with binary splits are popularly constructed using Classification and Regression Trees (CART) methodology. For binary classification and regression models, this approach recursively divides the data into two near-homogenous…

Machine Learning · Statistics 2020-08-17 Jason M. Klusowski

The ratio of two densities provides a direct characterization of their differences. We consider the two-sample comparison problem by estimating this ratio given i.i.d. observations from two distributions. To this end, we propose additive…

Methodology · Statistics 2026-04-23 Naoki Awaya , Yuliang Xu , Li Ma

Background: In clinical research, the Bland-Altman analysis is commonly used to assess agreement of metric measurements made by two or more techniques, devices or methods. The approach can also deal with repeated measurements per subject or…

The development of driverless vehicles has spurred the need to predict human driving behavior to facilitate interaction between driverless and human-driven vehicles. Predicting human driving movements can be challenging, and poor prediction…

Applications · Statistics 2025-09-16 Yaoyuan Vincent Tan , Carol A. C. Flannagan , Michael R. Elliott

Ensemble learning is a statistical paradigm built on the premise that many weak learners can perform exceptionally well when deployed collectively. The BART method of Chipman et al. (2010) is a prominent example of Bayesian ensemble…

Machine Learning · Statistics 2018-10-08 Veronika Rockova , Enakshi Saha
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