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Motivated by recent work on studying massive imaging data in various neuroimaging studies, we propose a novel spatially varying coefficient model (SVCM) to spatially model the varying association between imaging measures in a…

Methodology · Statistics 2014-12-01 Hongtu Zhu , Jianqing Fan , Linglong Kong

We develop a Bayesian bivariate spatial model for multivariate regression analysis applicable to studies examining the influence of genetic variation on brain structure. Our model is motivated by an imaging genetics study of the Alzheimer's…

Methodology · Statistics 2020-05-26 Yin Song , Shufei Ge , Jiguo Cao , Liangliang Wang , Farouk S. Nathoo

Spatial documentation is exponentially increasing given the availability of Big IoT Data, enabled by the devices miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dependence…

Methodology · Statistics 2020-10-01 Francisco Louzada , Diego C. Nascimento , Osafu Augustine Egbon

Motivated by the needs of selecting important features for massive neuroimaging data, we propose a spatially varying coefficient model (SVCMs) with sparsity and piecewise smoothness imposed on the coefficient functions. A new class of…

Methodology · Statistics 2015-05-01 Ran Shi , Jian Kang

The partially separable functions (PSF) model is commonly adopted in dynamic MRI reconstruction, as is the underlying signal model in many reconstruction methods including the ones relying on low-rank assumptions. Even though the PSF model…

Image and Video Processing · Electrical Eng. & Systems 2026-01-21 Rodrigo A. Lobos , Xiaokai Wang , Rex T. L. Fung , Yongli He , David Frey , Dinank Gupta , Zhongming Liu , Jeffrey A. Fessler , Douglas C. Noll

A central question in multimodal neuroimaging analysis is to understand the association between two imaging modalities and to identify brain regions where such an association is statistically significant. In this article, we propose a…

Methodology · Statistics 2024-11-28 Moyan Li , Lexin Li , Jian Kang

Mediation analysis aims to separate the indirect effect through mediators from the direct effect of the exposure on the outcome. It is challenging to perform mediation analysis with neuroimaging data which involves high dimensionality,…

Methodology · Statistics 2025-12-30 Yuliang Xu , Timothy D Johnson , Mary Heitzeg , Jian Kang

Bayesian spatial modeling provides a flexible framework for whole-brain fMRI analysis by explicitly incorporating spatial dependencies, overcoming the limitations of traditional massive univariate approaches that lead to information waste.…

Methodology · Statistics 2025-11-18 Yuan Zhong , Gang Chen , Paul A. Taylor , Jian Kang

This paper presents a new Bayesian model and algorithm for nonlinear unmixing of hyperspectral images. The model proposed represents the pixel reflectances as linear combinations of the endmembers, corrupted by nonlinear (with respect to…

Methodology · Statistics 2015-10-06 Yoann Altmann , Marcelo Pereyra , Stephen McLaughlin

In regression-based analyses of group-level neuroimage data researchers typically fit a series of marginal general linear models to image outcomes at each spatially-referenced pixel. Spatial regularization of effects of interest is usually…

Methodology · Statistics 2024-09-26 Andrew S. Whiteman , Timothy D. Johnson , Jian Kang

Tensor-based representations are being increasingly used to represent complex data types such as imaging data, due to their appealing properties such as dimension reduction and the preservation of spatial information. Recently, there is a…

Methodology · Statistics 2023-12-15 Rongke Lyu , Marina Vannucci , Suprateek Kundu

Motivated by problems from neuroimaging in which existing approaches make use of "mass univariate" analysis which neglects spatial structure entirely, but the full joint modelling of all quantities of interest is computationally infeasible,…

Methodology · Statistics 2022-04-19 Denishrouf Thesingarajah , Adam M. Johansen

Bayesian whole-brain functional magnetic resonance imaging (fMRI) analysis with three-dimensional spatial smoothing priors has been shown to produce state-of-the-art activity maps without pre-smoothing the data. The proposed inference…

Methodology · Statistics 2020-10-02 Per Sidén , Finn Lindgren , David Bolin , Anders Eklund , Mattias Villani

This paper presents a Bayesian regression model relating scalar outcomes to brain functional connectivity represented as symmetric positive definite (SPD) matrices. Unlike many proposals that simply vectorize the matrix-valued connectivity…

Methodology · Statistics 2024-03-28 Xiaomeng Ju , Hyung G. Park , Thaddeus Tarpey

In this work, we present an additive model for space-time data that splits the data into a temporally correlated component and a spatially correlated component. We model the spatially correlated portion using a time-varying Gaussian…

Methodology · Statistics 2017-11-13 Kristjan Greenewald , Seyoung Park , Shuheng Zhou , Alexander Giessing

Spatial functional data arise in many settings, such as particulate matter curves observed at monitoring stations and age population curves at each areal unit. Most existing functional regression models have limited applicability because…

Methodology · Statistics 2025-04-25 Heesang Lee , Dagun Oh , Sunhwa Choi , Jaewoo Park

Imaging genetics aims to uncover the hidden relationship between imaging quantitative traits (QTs) and genetic markers (e.g. single nucleotide polymorphism (SNP)), and brings valuable insights into the pathogenesis of complex diseases, such…

Methodology · Statistics 2025-04-30 Zhibin Pu , Shufei Ge

Most brain disorders are very heterogeneous in terms of their underlying biology and developing analysis methods to model such heterogeneity is a major challenge. A promising approach is to use probabilistic regression methods to estimate…

Machine Learning · Statistics 2018-12-03 Seyed Mostafa Kia , Christian F. Beckmann , Andre F. Marquand

Intracranial recordings have opened a unique opportunity to simultaneously measure activity across multiregional networks in the human brain. Recent works have focused on developing transformer-based neurofoundation models of such…

Machine Learning · Computer Science 2025-12-16 Lucine L. Oganesian , Saba Hashemi , Maryam M. Shanechi

Nonlinear stochastic motion presents significant challenges for Bayesian particle tracking. To address this challenge, this paper proposes a framework to construct an invertible transformation that maps the nonlinear state-space model (SSM)…

Methodology · Statistics 2026-04-13 Yonatan L. Ashenafi
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