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In the quest for scalable Bayesian computational algorithms we need to exploit the full potential of existing methodologies. In this note we point out that message passing algorithms, which are very well developed for inference in graphical…

Computation · Statistics 2017-09-05 Omiros Papaspiliopoulos , Giacomo Zanella

Regression models are used for inference and prediction in a wide range of applications providing a powerful scientific tool for researchers and analysts from different fields. In many research fields the amount of available data as well as…

Methodology · Statistics 2018-06-08 Aliaksandr Hubin , Geir Storvik , Florian Frommlet

Generalized linear models (GLMs) using a regression procedure to fit relationships between predictor and target variables are widely used in automobile insurance data. Here, in the process of ratemaking and in order to compute the premiums…

Applications · Statistics 2016-06-02 J. M. Pérez-Sánchez , E. Gómez-Déniz

A hierarchical Bayesian approach that permits simultaneous inference for the regression coefficient matrix and the error precision (inverse covariance) matrix in the multivariate linear model is proposed. Assuming a natural ordering of the…

Methodology · Statistics 2024-10-29 Christina Zhao , Ding Xiang , Galin L. Jones , Adam J. Rothman

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

Classification of satellite images is a key component of many remote sensing applications. One of the most important products of a raw satellite image is the classified map which labels the image pixels into meaningful classes. Though…

Methodology · Statistics 2013-06-03 Reshu Agarwal , Pritam Ranjan , Hugh Chipman

This article focuses on inference in logistic regression for high-dimensional binary outcomes. A popular approach induces dependence across the outcomes by including latent factors in the linear predictor. Bayesian approaches are useful for…

Methodology · Statistics 2025-04-23 Lorenzo Mauri , David B. Dunson

Gallstone disease is a complex, multifactorial condition with significant global health burdens. Identifying underlying risk factors and their interactions is crucial for early diagnosis, targeted prevention, and effective clinical…

Applications · Statistics 2025-06-18 Chitradipa Chakraborty , Nayana Mukherjee

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

Logic regression was developed more than a decade ago as a tool to construct predictors from Boolean combinations of binary covariates. It has been mainly used to model epistatic effects in genetic association studies, which is very…

Computation · Statistics 2020-04-29 Aliaksandr Hubin , Geir Storvik , Florian Frommlet

Gaussian mixtures are commonly used for modeling heavy-tailed error distributions in robust linear regression. Combining the likelihood of a multivariate robust linear regression model with a standard improper prior distribution yields an…

Statistics Theory · Mathematics 2023-01-05 Haoxiang Li , Qian Qin , Galin L. Jones

Generalized additive models (GAMs) provide a way to blend parametric and non-parametric (function approximation) techniques together, making them flexible tools suitable for many modeling problems. For instance, GAMs can be used to…

Methodology · Statistics 2023-03-07 Antti Solonen , Stratos Staboulis

Vector autoregression has been widely used for modeling and analysis of multivariate time series data. In high-dimensional settings, model parameter regularization schemes inducing sparsity yield interpretable models and achieved good…

Methodology · Statistics 2023-06-08 Leo L. Duan , Zeyu Yuwen , George Michailidis , Zhengwu Zhang

Contextual bandits are a core technology for personalized mobile health interventions, where decision-making requires adapting to complex, non-linear user behaviors. While Thompson Sampling (TS) is a preferred strategy for these problems,…

Machine Learning · Statistics 2026-02-10 Ruizhe Deng , Bibhas Chakraborty , Ran Chen , Yan Shuo Tan

Accuracy and interpretability of a (non-life) insurance pricing model are essential qualities to ensure fair and transparent premiums for policy-holders, that reflect their risk. In recent years, the classification and regression trees…

Machine Learning · Statistics 2023-12-04 Yaojun Zhang , Lanpeng Ji , Georgios Aivaliotis , Charles Taylor

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

Multivariate spatial fields are of interest in many applications, including climate model emulation. Not only can the marginal spatial fields be subject to nonstationarity, but the dependence structure among the marginal fields and between…

Methodology · Statistics 2023-11-21 Paul F. V. Wiemann , Matthias Katzfuss

In this paper, we introduce a new machine learning (ML) model for nonlinear regression called the Boosted Smooth Transition Regression Trees (BooST), which is a combination of boosting algorithms with smooth transition regression trees. The…

Machine Learning · Statistics 2021-04-08 Yuri Fonseca , Marcelo Medeiros , Gabriel Vasconcelos , Alvaro Veiga

A threshold autoregressive (TAR) model is a powerful tool for analyzing nonlinear multivariate time series, which includes special cases like self-exciting threshold autoregressive (SETAR) models and vector autoregressive (VAR) models. In…

Methodology · Statistics 2025-03-07 L. H. Vanegas , S. A. Calderón , L. M. Rondón

Over the last decades, the challenges in applied regression and in predictive modeling have been changing considerably: (1) More flexible model specifications are needed as big(ger) data become available, facilitated by more powerful…

Computation · Statistics 2025-10-07 Nikolaus Umlauf , Nadja Klein , Thorsten Simon , Achim Zeileis