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Establishing causality is a fundamental goal in fields like medicine and social sciences. While randomized controlled trials are the gold standard for causal inference, they are not always feasible or ethical. Observational studies can…

Statistics Theory · Mathematics 2024-12-03 Andrew Ying

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

Task-based fMRI provides a direct readout of task-evoked neural dynamics, but it is expensive and difficult to acquire at scale, motivating rest-to-task synthesis from widely available resting-state fMRI (rsfMRI). We propose FM-fMRI, an…

Machine Learning · Computer Science 2026-05-27 Peiyu Duan , Jiyao Wang , Nicha C. Dvornek , Junlin Yang , Ziqi Gao , Lawrence H. Staib , James S. Duncan

Measuring functional connectivity from fMRI is important in understanding processing in cortical networks. However, because brain's connection pattern is complex, currently used methods are prone to produce false connections. We introduce…

Neurons and Cognition · Quantitative Biology 2020-06-23 Tiger w. Lin , Giri P. Krishnan , Maxim Bazhenov , Terrence J. Sejnowski

There is increasing evidence to suggest functional connectivity networks are non-stationary. This has lead to the development of novel methodologies with which to accurately estimate time-varying functional connectivity networks. Many of…

We consider the problem of estimating the difference between two functional undirected graphical models with shared structures. In many applications, data are naturally regarded as high-dimensional random function vectors rather than…

Machine Learning · Statistics 2019-11-19 Boxin Zhao , Y. Samuel Wang , Mladen Kolar

This study examines the utility of functional connectivity (FC) and graph-based (GB) measures with a support vector machine classifier for use in electroencephalogram (EEG) based biometrics. Although FC-based features have been used in…

Signal Processing · Electrical Eng. & Systems 2022-06-06 Pradeep Kumar G , Utsav Dutta , Kanishka Sharma , Ramakrishnan Angarai Ganesan

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…

Methodology · Statistics 2023-03-23 Maoyu Zhang , Biao Cai , Wenlin Dai , Dehan Kong , Hongyu Zhao , Jingfei Zhang

Purpose: Recently, there has been a revived interest in system neuroscience causation models, driven by their unique capability to unravel complex relationships in multi-scale brain networks. In this paper, we present a novel method that…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Dachuan Song , Li Shen , Duy Duong-Tran , Xuan Wang

Understanding the relationship between the dynamics of neural processes and the anatomical substrate of the brain is a central question in neuroscience. On the one hand, modern neuroimaging technologies, such as diffusion tensor imaging,…

The paper studies the asymptotic behaviour of weighted functionals of long-range dependent data over increasing observation windows. Various important statistics, including sample means, high order moments, occupation measures can be given…

Statistics Theory · Mathematics 2019-05-27 Tareq Alodat , Andriy Olenko

Background: The brain's functional network constantly adapts to external changes. However, the mechanisms underlying this dynamic adaptive behavior in stroke patients with motor injuries and its role in post-stroke motor recovery remain…

Neurons and Cognition · Quantitative Biology 2024-01-18 Kaichao Wu , Beth Jelfs , Katrina Neville , Qiang Fang

Functional connectivity (FC) studies have demonstrated the overarching value of studying the brain and its disorders through the undirected weighted graph of fMRI correlation matrix. Most of the work with the FC, however, depends on the way…

Neurons and Cognition · Quantitative Biology 2021-12-09 Usman Mahmood , Zening Fu , Vince Calhoun , Sergey Plis

Functional connectomes capture brain interactions via synchronized fluctuations in the functional magnetic resonance imaging signal. If measured during rest, they map the intrinsic functional architecture of the brain. With task-driven…

Neurons and Cognition · Quantitative Biology 2013-04-16 Gaël Varoquaux , R. C. Craddock

Over the last decade, nonparametric methods have gained increasing attention for modeling complex data structures due to their flexibility and minimal structural assumptions. In this paper, we study a general multivariate nonparametric…

Methodology · Statistics 2026-03-18 Kunal Rai , Archi Roy , Itai Dattner , Soudeep Deb

A variety of resting state neuroimaging data tend to exhibit fractal behavior where its power spectrum follows power-law scaling. Resting state functional connectivity is significantly influenced by fractal behavior which may not directly…

Applications · Statistics 2012-08-16 Wonsang You , Sophie Achard , Jörg Stadler , Bernd Brückner , Udo Seiffert

Purpose: Functional magnetic resonance imaging (fMRI) and functional connectivity (FC) have been used to follow aging in both children and older adults. Robust changes have been observed in children, where high connectivity among all brain…

Neurons and Cognition · Quantitative Biology 2023-08-28 Anton Orlichenko , Kuan-Jui Su , Qing Tian , Hui Shen , Hong-Wen Deng , Yu-Ping Wang

It has been well established that Functional Connectomes (FCs), as estimated from functional MRI (fMRI) data, have an individual fingerprint that can be used to identify an individual from a population (subject-identification). Although…

Resting-state functional magnetic resonance imaging (rs-fMRI)-derived functional connectivity patterns have been extensively utilized to delineate global functional organization of the human brain in health, development, and…

Quantitative Methods · Quantitative Biology 2020-10-02 Li Xiao , Biao Cai , Gang Qu , Julia M. Stephen , Tony W. Wilson , Vince D. Calhoun , Yu-Ping Wang

Interactions between the brain and body are of fundamental importance for human behavior and health. Functional magnetic resonance imaging (fMRI) captures whole-brain activity noninvasively, and modeling how fMRI signals interact with…