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In this paper, we introduce a novel statistical model for the integrative analysis of Riemannian-valued functional data and high-dimensional data. We apply this model to explore the dependence structure between each subject's dynamic…

Methodology · Statistics 2026-01-21 James Buenfil , Eardi Lila

Autism spectrum disorder (ASD) has been associated with structural alterations across cortical and subcortical regions. Quantitative neuroimaging enables large-scale analysis of these neuroanatomical patterns. This project used structural…

Neurons and Cognition · Quantitative Biology 2025-12-30 Ashley Chen

Visual autoregressive (VAR) models have recently emerged as a promising alternative for image generation, offering stable training, non-iterative inference, and high-fidelity synthesis through next-scale prediction. This encourages the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Cencen Liu , Dongyang Zhang , Wen Yin , Jielei Wang , Tianyu Li , Ji Guo , Wenbo Jiang , Guoqing Wang , Guoming Lu

Many economic variables feature changes in their conditional mean and volatility, and Time Varying Vector Autoregressive Models are often used to handle such complexity in the data. Unfortunately, when the number of series grows, they…

Econometrics · Economics 2022-01-19 G. Cubadda , S. Grassi , B. Guardabascio

Functional connectivity network (FCN) data from functional magnetic resonance imaging (fMRI) is increasingly used for the diagnoses of brain disorders. However, state-of-the-art studies used to build the FCN using a single brain…

Image and Video Processing · Electrical Eng. & Systems 2022-09-26 Mianxin Liu , Han Zhang , Feng Shi , Dinggang Shen

Background: Recent studies have indicated that functional connectivity is dynamic even during rest. A common approach to modeling the dynamic functional connectivity in whole-brain resting-state fMRI is to compute the correlation between…

Neurons and Cognition · Quantitative Biology 2019-11-05 Shih-Gu Huang , S. Balqis Samdin , Chee-Ming Ting , Hernando Ombao , Moo K. Chung

Standard simultaneous autoregressive (SAR) models typically assume normally distributed errors, an assumption often violated in real-world datasets that frequently exhibit non-normal, skewed, or heavy-tailed characteristics. New SAR models…

Methodology · Statistics 2025-12-16 Anjana Wijayawardhana , David Gunawan , Thomas Suesse

A pervasive challenge in neuroscience is testing whether neuronal connectivity changes over time due to specific causes, such as stimuli, events, or clinical interventions. Recent hardware innovations and falling data storage costs enable…

Neurons and Cognition · Quantitative Biology 2024-01-05 Johan Medrano , Karl J. Friston , Peter Zeidman

Progress in neuroscience has provided unprecedented opportunities to advance our understanding of brain alterations and their correspondence to phenotypic profiles. With data collected from various imaging techniques, studies have…

Methodology · Statistics 2024-08-01 Zhe Sun , Wanwan Xu , Tianxi Li , Jian Kang , Gregorio Alanis-Lobato , Yize Zhao

Functional magnetic resonance imaging (fMRI) is widely used for studying and diagnosing brain disorders, with functional connectivity (FC) matrices providing powerful representations of large-scale neural interactions. However, existing…

Tissues and Organs · Quantitative Biology 2026-04-17 Qianyu Chen , Shujian Yu

To uncover the underlying mechanisms of mental disorders such as attention deficit hyperactivity disorder (ADHD) for improving both early diagnosis and therapy, it is increasingly recognized that we need a better understanding of how the…

Biological Physics · Physics 2011-12-16 Xiaoxi Ji , Wei Cheng , Jie Zhang , Tian Ge , Li Sun , Yufeng Wang , Jianfeng Feng

Autism spectrum disorder (ASD) affects the brain connectivity at different levels. Nonetheless, non-invasively distinguishing such effects using magnetic resonance imaging (MRI) remains very challenging to machine learning diagnostic…

Machine Learning · Computer Science 2020-04-29 Ismail Bilgen , Goktug Guvercin , Islem Rekik

A Brain Computer Interface (BCI) connects the human brain to the outside world, providing a direct communication channel. Electroencephalography (EEG) signals are commonly used in BCIs to reflect cognitive patterns related to motor function…

Machine Learning · Computer Science 2025-11-19 Abdullah Al Shiam , Md. Khademul Islam Molla , Abu Saleh Musa Miah , Md. Abdus Samad Kamal

Understanding covariate-varying interdependencies among features is of great interest in various applications. Motivated by microbiome studies where microbial abundances and interactions vary with environmental factors, we develop a…

Methodology · Statistics 2026-03-16 Shuangjie Zhang , Michael L. Patnode , Juhee Lee

Functional brain connectivity changes dynamically over time, making its representation challenging for learning on non-Euclidean data. We present a framework that encodes dynamic functional connectivity as an image representation of…

Neurons and Cognition · Quantitative Biology 2025-11-14 Peilin He , Tananun Songdechakraiwut

The spatial error model (SEM) is a type of simultaneous autoregressive (SAR) model for analysing spatially correlated data. Markov chain Monte Carlo (MCMC) is one of the most widely used Bayesian methods for estimating SEM, but it has…

Methodology · Statistics 2024-06-14 Anjana Wijayawardhana , David Gunawan , Thomas Suesse

Under a high-dimensional vector autoregressive (VAR) model, we propose a way of efficiently estimating both the stationary graph structure between the nodal time series and their temporal dynamics. The framework is then used to make…

Methodology · Statistics 2025-04-01 Arkaprava Roy , Anindya Roy , Subhashis Ghosal

In neuroscience, understanding inter-individual differences has recently emerged as a major challenge, for which functional magnetic resonance imaging (fMRI) has proven invaluable. For this, neuroscientists rely on basic methods such as…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Akrem Sellami , François-Xavier Dupé , Bastien Cagna , Hachem Kadri , Stéphane Ayache , Thierry Artières , Sylvain Takerkart

Joint modeling of multiview graphs with a common set of nodes between views and auxiliary predictors is an essential, yet less explored, area in statistical methodology. Traditional approaches often treat graphs in different views as…

Methodology · Statistics 2026-03-24 Sharmistha Guha , Jose Rodriguez-Acosta , Ivo Dinov

A great improvement to the insight on brain function that we can get from fMRI data can come from effective connectivity analysis, in which the flow of information between even remote brain regions is inferred by the parameters of a…

Neurons and Cognition · Quantitative Biology 2012-08-21 G. Wu , W. Liao , S. Stramaglia , J. Ding , H. Chen , D. Marinazzo
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