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The prevalence of spatially referenced multivariate data has impelled researchers to develop a procedure for the joint modeling of multiple spatial processes. This ordinarily involves modeling marginal and cross-process dependence for any…

统计方法学 · 统计学 2020-07-10 Ghulam A. Qadir , Ying Sun

Time series analysis of fMRI data is an important area of medical statistics for neuroimaging data. The neuroimaging community has embraced mean-field variational Bayes (VB) approximations, which are implemented in Statistical Parametric…

统计计算 · 统计学 2018-03-06 Ming Teng , Timothy Johnson , Farouk Nathoo

Functional magnetic resonance imaging (fMRI) plays a crucial role in neuroimaging, enabling the exploration of brain activity through complex-valued signals. These signals, composed of magnitude and phase, offer a rich source of information…

统计方法学 · 统计学 2024-01-15 Zhengxin Wang , Daniel B. Rowe , Xinyi Li , D. Andrew Brown

We propose a Bayesian image super-resolution (SR) method with a causal Gaussian Markov random field (MRF) prior. SR is a technique to estimate a spatially high-resolution image from given multiple low-resolution images. An MRF model with…

计算机视觉与模式识别 · 计算机科学 2015-05-30 Takayuki Katsuki , Akira Torii , Masato Inoue

In this article, we propose a novel spatial global-local spike-and-slab selection prior for image-on-scalar regression. We consider a Bayesian hierarchical Gaussian process model for image smoothing, that uses a flexible Inverse-Wishart…

统计方法学 · 统计学 2022-12-19 Zijian Zeng , Meng Li , Marina Vannucci

Balanced steady-state free precession (bSSFP) can be used as an alternative to gradient-echo (GE) EPI for BOLD functional MRI when image distortions and signal drop-outs are severe such as at ultra-high field. However, 3D-bSSFP acquisitions…

医学物理 · 物理学 2019-06-26 Olivier Reynaud , Analina R. da Silva , Rolf Gruetter , Ileana O. Jelescu

We propose a voxel-wise general linear model with autoregressive noise and heteroscedastic noise innovations (GLMH) for analyzing functional magnetic resonance imaging (fMRI) data. The model is analyzed from a Bayesian perspective and has…

应用统计 · 统计学 2017-05-31 Anders Eklund , Martin A. Lindquist , Mattias Villani

Background: Inference from fMRI data faces the challenge that the hemodynamic system that relates neural activity to the observed BOLD fMRI signal is unknown. New Method: We propose a new Bayesian model for task fMRI data with the following…

应用统计 · 统计学 2020-06-01 Josef Wilzén , Anders Eklund , Mattias Villani

Detecting shared neural activity from functional magnetic resonance imaging (fMRI) across individuals exposed to the same stimulus can reveal synchronous brain responses, functional roles of regions, and potential clinical biomarkers.…

应用统计 · 统计学 2026-04-24 Spencer Wadsworth , Nabin Koirala , Nicole Landi , Ofer Harel

Bayesian Image-on-Scalar Regression (ISR) provides flexible, uncertainty-aware neuroimaging analysis. However, applying ISR to large-scale datasets such as the UK Biobank is challenging due to intensive computational demands and the need to…

应用统计 · 统计学 2026-02-09 Yuliang Xu , Timothy D. Johnson , Thomas E. Nichols , Jian Kang

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

统计方法学 · 统计学 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

Recovering high-fidelity 3D images from sparse or degraded 2D images is a fundamental challenge in medical imaging, with broad applications ranging from 3D ultrasound reconstruction to MRI super-resolution. In the context of fetal MRI,…

计算机视觉与模式识别 · 计算机科学 2025-12-17 Maik Dannecker , Steven Jia , Nil Stolt-Ansó , Nadine Girard , Guillaume Auzias , François Rousseau , Daniel Rueckert

Functional magnetic resonance imaging or functional MRI (fMRI) is a non-invasive way to assess brain activity by detecting changes associated with blood flow. In this work, we propose a full Bayesian procedure to analyze fMRI data for…

Deep learning has emerged as a transformative methodology in modern cosmology, providing powerful tools to extract meaningful physical information from complex astronomical datasets. This paper implements a novel Bayesian graph deep…

宇宙学与河外天体物理 · 物理学 2026-01-28 Juan Alejandro Pinto Castro , Héctor J. Hortúa , Jorge Enrique García-Farieta , Roger Anderson Hurtado

In recent years, Bayesian statistics methods in neuroscience have been showing important advances. In particular, detection of brain signals for studying the complexity of the brain is an active area of research. Functional magnetic…

统计方法学 · 统计学 2017-06-06 Jairo Alberto Fuquene Patiño , Brenda Betancourt , João B. M. Pereira

Functional magnetic resonance imaging (fMRI) aims to locate activated regions in human brains when specific tasks are performed. The conventional tool for analyzing fMRI data applies some variant of the linear model, which is restrictive in…

统计理论 · 数学 2008-08-08 Chunming Zhang , Tao Yu

In this paper we introduce a novel framework for making exact nonparametric Bayesian inference on latent functions, that is particularly suitable for Big Data tasks. Firstly, we introduce a class of stochastic processes we refer to as…

机器学习 · 统计学 2016-08-22 Yves-Laurent Kom Samo , Stephen Roberts

Functional Magnetic Resonance Images acquired during resting-state provide information about the functional organization of the brain through measuring correlations between brain areas. Independent components analysis is the reference…

神经元与认知 · 定量生物学 2014-12-15 Alexandre Abraham , Elvis Dohmatob , Bertrand Thirion , Dimitris Samaras , Gael Varoquaux

We propose a general framework using spike-and-slab prior distributions to aid with the development of high-dimensional Bayesian inference. Our framework allows inference with a general quasi-likelihood function. We show that highly…

统计理论 · 数学 2019-08-21 Yves Atchade , Anwesha Bhattacharyya

Functional magnetic resonance imaging (fMRI) has provided invaluable insight into our understanding of human behavior. However, large inter-individual differences in both brain anatomy and functional localization after anatomical alignment…

应用统计 · 统计学 2021-11-03 Guoqing Wang , Abhirup Datta , Martin A. Lindquist