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Analysis of brain connectivity is important for understanding how information is processed by the brain. We propose a novel Bayesian vector autoregression (VAR) hierarchical model for analyzing brain connectivity in a resting-state fMRI…

应用统计 · 统计学 2021-12-09 Bertil Wegmann , Anders Lundquist , Anders Eklund , Mattias Villani

A deep latent variable model is a powerful method for capturing complex distributions. These models assume that underlying structures, but unobserved, are present within the data. In this dissertation, we explore high-dimensional problems…

机器学习 · 计算机科学 2024-06-13 Khuong Vo

In this paper we propose BVAR-connect, a variational inference approach to a Bayesian multi-subject vector autoregressive (VAR) model for inference on effective brain connectivity based on resting-state functional MRI data. The modeling…

To study the neurophysiological basis of attention deficit hyperactivity disorder (ADHD), clinicians use electroencephalography (EEG) which record neuronal electrical activity on the cortex. Instead of focusing on single-channel spectral…

应用统计 · 统计学 2025-06-16 Paolo Victor Redondo , Raphael Huser , Hernando Ombao

In contemporary neuroscience, a key area of interest is dynamic effective connectivity, which is crucial for understanding the dynamic interactions and causal relationships between different brain regions. Dynamic effective connectivity can…

统计方法学 · 统计学 2024-05-30 Wei Zhang , Ivor Cribben , sonia Petrone , Michele Guindani

Dynamic networks have been increasingly used to characterize brain connectivity that varies during resting and task states. In such characterizations, a connectivity network is typically measured at each time point for a subject over a…

统计方法学 · 统计学 2023-03-23 Maoyu Zhang , Biao Cai , Wenlin Dai , Dehan Kong , Hongyu Zhao , Jingfei Zhang

This paper develops a novel statistical approach to characterize temporally localised cross-oscillatory interactions between channels in a functional brain network. Brain signals are generally nonstationary and the proposed framework uses…

统计方法学 · 统计学 2026-02-10 Haibo Wu , Marina I. Knight , Hernando Ombao

Multichannel electroencephalograms (EEGs) have been widely used to study cortical connectivity during acquisition of motor skills. In this paper, we introduce copula Gaussian graphical models on spectral domain to characterize dependence in…

应用统计 · 统计学 2018-10-09 Xu Gao , Weining Shen , Chee-Ming Ting , Steven C. Cramer , Ramesh Srinivasan , Hernando Ombao

Understanding the dynamics of functional brain connectivity patterns using noninvasive neuroimaging techniques is an important focus in human neuroscience. Vector autoregressive (VAR) processes and Granger causality analysis (GCA) have been…

应用统计 · 统计学 2022-09-16 Jingjing Fan , Kevin Sitek , Bharath Chandrasekaran , Abhra Sarkar

In this paper, we develop an approach to modeling high-dimensional networks with a large number of nodes arranged in a hierarchical and modular structure. We propose a novel multi-scale factor analysis (MSFA) model which partitions the…

应用统计 · 统计学 2020-04-10 Chee-Ming Ting , Hernando Ombao , Sh-Hussain Salleh

Brain network analysis is a useful approach to studying human brain disorders because it can distinguish patients from healthy people by detecting abnormal connections. Due to the complementary information from multiple modal neuroimages,…

图像与视频处理 · 电气工程与系统科学 2023-08-22 Qiankun Zuo , Yanfei Zhu , Libin Lu , Zhi Yang , Yuhui Li , Ning Zhang

Resting-state brain functional connectivity quantifies the synchrony between activity patterns of different brain regions. In functional magnetic resonance imaging (fMRI), each region comprises a set of spatially contiguous voxels at which…

统计方法学 · 统计学 2025-11-07 Ruobin Liu , Chao Zhang , Chau Tran , Sophie Achard , Wendy Meiring , Alexander Petersen

Structural equation models (SEMs) and vector autoregressive models (VARMs) are two broad families of approaches that have been shown useful in effective brain connectivity studies. While VARMs postulate that a given region of interest in…

应用统计 · 统计学 2016-10-21 Yanning Shen , Brian Baingana , Georgios B. Giannakis

We propose a novel technique to assess functional brain connectivity in EEG/MEG signals. Our method, called Sparsely-Connected Sources Analysis (SCSA), can overcome the problem of volume conduction by modeling neural data innovatively with…

统计方法学 · 统计学 2010-08-05 Stefan Haufe , Ryota Tomioka , Guido Nolte , Klaus-Robert Mueller , Motoaki Kawanabe

The vector autoregressive (VAR) model is a powerful tool in modeling complex time series and has been exploited in many fields. However, fitting high dimensional VAR model poses some unique challenges: On one hand, the dimensionality,…

机器学习 · 统计学 2014-10-30 Fang Han , Huanran Lu , Han Liu

Recent studies on analyzing dynamic brain connectivity rely on sliding-window analysis or time-varying coefficient models which are unable to capture both smooth and abrupt changes simultaneously. Emerging evidence suggests state-related…

应用统计 · 统计学 2019-07-04 Chee-Ming Ting , Hernando Ombao , S. Balqis Samdin , Sh-Hussain Salleh

Communication within or between complex systems is commonplace in the natural sciences and fields such as graph neural networks. The brain is a perfect example of such a complex system, where communication between brain regions is…

神经元与认知 · 定量生物学 2022-10-10 Eloy Geenjaar , Noah Lewis , Amrit Kashyap , Robyn Miller , Vince Calhoun

The primary goal of this paper is to develop a method that quantifies how activity in one brain region can explain future activity in another region. Here, we propose the mixed effects spectral vector-autoregressive (ME-SpecVar) model to…

应用统计 · 统计学 2022-10-07 Anastasiia Malinovskaia

The multiple-subject vector autoregression (multi-VAR) model captures heterogeneous network Granger causality across subjects by decomposing individual sparse VAR transition matrices into commonly shared and subject-unique paths. The model…

统计方法学 · 统计学 2025-10-17 Younghoon Kim , Zachary F. Fisher , Vladas Pipiras

With our ability to record more neurons simultaneously, making sense of these data is a challenge. Functional connectivity is one popular way to study the relationship between multiple neural signals. Correlation-based methods are a set of…

神经元与认知 · 定量生物学 2017-06-09 Tiger W. Lin , Anup Das , Giri P. Krishnan , Maxim Bazhenov , Terrence J. Sejnowski
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