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This manuscript presents an approach to perform generalized linear regression with multiple high dimensional covariance matrices as the outcome. Model parameters are proposed to be estimated by maximizing a pseudo-likelihood. When the data…

统计方法学 · 统计学 2020-07-28 Yi Zhao , Brian S. Caffo , Xi Luo

A Bayesian multivariate model with a structured covariance matrix for multi-way nested data is proposed. This flexible modeling framework allows for positive and for negative associations among clustered observations, and generalizes the…

统计方法学 · 统计学 2024-08-27 Stef Baas , Richard J. Boucherie , Jean-Paul Fox

Tensor regression methods have been widely used to predict a scalar response from covariates in the form of a multiway array. In many applications, the regions of tensor covariates used for prediction are often spatially connected with…

统计方法学 · 统计学 2024-04-02 Shuoli Chen , Kejun He , Shiyuan He , Yang Ni , Raymond K. W. Wong

Research on Poisson regression analysis for dependent data has been developed rapidly in the last decade. One of difficult problems in a multivariate case is how to construct a cross-correlation structure and at the meantime make sure that…

统计方法学 · 统计学 2017-10-05 A'yunin Sofro , Jian Qing Shi , Chunzheng Cao

Bayesian Additive Regression Trees (BART) has gained widespread popularity, inspiring numerous extensions across diverse applications. However, relatively little attention has been given to modeling dependent data. To fill this gap, we…

统计方法学 · 统计学 2025-09-17 Xuetao Lu a , Robert E. McCulloch

We develop a Bayesian spatio-temporal framework for extreme-value analysis that augments a hierarchical copula model with an autoregressive factor to capture residual temporal dependence in threshold exceedances. The factor can be specified…

统计方法学 · 统计学 2025-10-06 Carlos A. Pasquier , Luis A. Barboza

Bayes linear analysis and approximate Bayesian computation (ABC) are techniques commonly used in the Bayesian analysis of complex models. In this article we connect these ideas by demonstrating that regression-adjustment ABC algorithms…

统计方法学 · 统计学 2012-12-10 D. J. Nott , Y. Fan , L. Marshall , S. A. Sisson

As models of cognition grow in complexity and number of parameters, Bayesian inference with standard methods can become intractable, especially when the data-generating model is of unknown analytic form. Recent advances in simulation-based…

机器学习 · 统计学 2020-07-14 Stefan T. Radev , Andreas Voss , Eva Marie Wieschen , Paul-Christian Bürkner

The article develops marginal models for multivariate longitudinal responses. Overall, the model consists of five regression submodels, one for the mean and four for the covariance matrix, with the latter resulting by considering various…

统计方法学 · 统计学 2020-12-18 Georgios Papageorgiou

In conventional randomized controlled trials, adjustment for baseline values of covariates known to be at least moderately associated with the outcome increases the power of the trial. Recent work has shown particular benefit for more…

统计方法学 · 统计学 2023-11-27 James Willard , Shirin Golchi , Erica EM Moodie

Joint Bayesian factor models are popular for characterizing relationships between multivariate correlated predictors and a response variable. Standard models assume that all variables, including both the predictors and the response, are…

统计方法学 · 统计学 2025-05-19 Glenn Palmer , David B. Dunson

This article focuses on covariance estimation for multi-study data. Popular approaches employ factor-analytic terms with shared and study-specific loadings that decompose the variance into (i) a shared low-rank component, (ii)…

统计方法学 · 统计学 2026-01-26 Lorenzo Mauri , Niccolò Anceschi , David B. Dunson

Recently, there has been increased interest in fusing multimodal imaging to better understand brain organization. Specifically, accounting for knowledge of anatomical pathways connecting brain regions should lead to desirable outcomes such…

应用统计 · 统计学 2018-03-02 Ixavier A. Higgins , Suprateek Kundu , Ying Guo

We consider high-dimensional multivariate linear regression models, where the joint distribution of covariates and response variables is a multivariate normal distribution with a bandable covariance matrix. The main goal of this paper is to…

统计理论 · 数学 2021-03-12 Kwangmin Lee , Kyoungjae Lee , Jaeyong Lee

This paper provides a simple, yet reliable, alternative to the (Bayesian) estimation of large multivariate VARs with time variation in the conditional mean equations and/or in the covariance structure. With our new methodology, the original…

计量经济学 · 经济学 2020-01-01 Mike Tsionas , Marwan Izzeldin , Lorenzo Trapani

We propose a new semi-parametric distributional regression smoother that is based on a copula decomposition of the joint distribution of the vector of response values. The copula is high-dimensional and constructed by inversion of a pseudo…

统计方法学 · 统计学 2020-06-30 Michael Stanley Smith , Nadja Klein

In this article, we study association between the structural connectome and cognitive profiles using a multi-response nonparametric regression model.The cognitive profiles are measured in terms of seven age-adjusted cognitive test scores.…

统计方法学 · 统计学 2022-12-06 Arkaprava Roy

Understanding how distributed brain regions coordinate to produce behavior requires models that are both predictive and interpretable. We introduce Behavior-Adaptive Connectivity Estimation (BACE), an end-to-end framework that learns…

神经元与认知 · 定量生物学 2025-10-27 Mehrnaz Asadi , Sina Javadzadeh , Rahil Soroushmojdehi , S. Alireza Seyyed Mousavi , Terence D. Sanger

Task-evoked functional magnetic resonance imaging studies, such as the Human Connectome Project (HCP), are a powerful tool for exploring how brain activity is influenced by cognitive tasks like memory retention, decision-making, and…

应用统计 · 统计学 2024-05-22 Michelle F. Miranda

We undertake Bayesian learning of the high-dimensional functional relationship between a system parameter vector and an observable, that is in general tensor-valued. The ultimate aim is Bayesian inverse prediction of the system parameters,…

统计方法学 · 统计学 2018-04-17 Kangrui Wang , Dalia Chakrabarty