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For neurological disorders and diseases, functional and anatomical connectomes of the human brain can be used to better inform targeted interventions and treatment strategies. Functional magnetic resonance imaging (fMRI) is a non-invasive…

Methodology · Statistics 2023-07-03 Matt Ryan , Gary Glonek , Jono Tuke , Melissa Humphries

Graphs are a natural representation of brain activity derived from functional magnetic imaging (fMRI) data. It is well known that clusters of anatomical brain regions, known as functional connectivity networks (FCNs), encode temporal…

Machine Learning · Computer Science 2023-01-30 Alexander Campbell , Simeon Spasov , Nicola Toschi , Pietro Lio

The human brain is a complex system, and understanding its mechanisms has been a long-standing challenge in neuroscience. The study of the functional connectome, which maps the functional connections between different brain regions, has…

Neural and Evolutionary Computing · Computer Science 2025-04-14 Tananun Songdechakraiwut , Yutong Wu

Functional magnetic resonance imaging (fMRI) data have become increasingly available and are useful for describing functional connectivity (FC), the relatedness of neuronal activity in regions of the brain. This FC of the brain provides…

Machine Learning · Statistics 2020-10-14 Andrew DiLernia , Karina Quevedo , Jazmin Camchong , Kelvin Lim , Wei Pan , Lin Zhang

Exponential-family random graph models (ERGMs) are probabilistic network models that are parametrized by sufficient statistics based on structural (i.e., graph-theoretic) properties. The ergm package for the R statistical computing system…

Social and Information Networks · Computer Science 2015-06-24 Omer Nebil Yaveroglu , Sean M. Fitzhugh , Maciej Kurant , Athina Markopoulou , Carter T. Butts , Natasa Przulj

In signal processing, exploring complex systems through network representations has become an area of growing interest. This study introduces the modularity graph, a new graph-based feature, to highlight the relationship across the graph…

Neurons and Cognition · Quantitative Biology 2024-10-23 Tiziana Cattai , Camilla Caporali , Marie-Constance Corsi , Stefania Colonnese

We define a general class of network formation models, Statistical Exponential Random Graph Models (SERGMs), that nest standard exponential random graph models (ERGMs) as a special case. We provide the first general results on when these…

Physics and Society · Physics 2014-06-26 Arun G. Chandrasekhar , Matthew O. Jackson

Brain function is organized in coordinated modes of spatio-temporal activity (functional networks) exhibiting an intrinsic baseline structure with variations under different experimental conditions. Existing approaches for uncovering such…

Methodology · Statistics 2019-02-13 Joshua Lukemire , Suprateek Kundu , Giuseppe Pagnoni , Ying Guo

A reliable foundation model of functional neuroimages is critical to promote clinical applications where the performance of current AI models is significantly impeded by a limited sample size. To that end, tremendous efforts have been made…

Machine Learning · Computer Science 2025-10-23 Ziquan Wei , Tingting Dan , Guorong Wu

Population analyses of functional connectivity have provided a rich understanding of how brain function differs across time, individual, and cognitive task. An important but challenging task in such population analyses is the identification…

Social and Information Networks · Computer Science 2020-08-19 James D. Wilson , Melanie Baybay , Rishi Sankar , Paul Stillman , Abbie M. Popa

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

With the advances in high resolution neuroimaging, there has been a growing interest in the detection of functional brain connectivity. Complex network theory has been proposed as an attractive mathematical representation of functional…

Neural and Evolutionary Computing · Computer Science 2018-09-18 Arash Golibagh Mahyari , Selin Aviyente

Alterations in brain connectivity have been associated with a variety of clinical disorders using functional magnetic resonance imaging (fMRI). We investigated empirically how the number of brain parcels (or scale) impacted the results of a…

Quantitative Methods · Quantitative Biology 2015-01-28 P. Bellec , Y. Benhajali , F. Carbonell , C. Dansereau , G. Albouy , M. Pelland , C. Craddock , O. Collignon , J. Doyon , E. Stip , P. Orban

The human brain is a complex network comprised of functionally and anatomically interconnected brain regions. A growing number of studies have suggested that empirical estimates of brain networks may be useful for discovery of biomarkers of…

Neurons and Cognition · Quantitative Biology 2022-11-15 Andrew Hannum , Mario A. Lopez , Saúl A. Blanco , Richard F. Betzel

Large-scale electrophysiological recordings now allow simultaneous monitoring of thousands of neurons across multiple brain regions, revealing structured variability in neural population activity. Understanding how these collective patterns…

Neurons and Cognition · Quantitative Biology 2026-03-12 Nicolas Béreux , Giovanni Catania , Aurélien Decelle , Francesca Mignacco , Alfonso de Jesús Navas Gómez , Beatriz Seoane

In the past five years, the use of generative and foundational AI systems has greatly improved the decoding of brain activity. Visual perception, in particular, can now be decoded from functional Magnetic Resonance Imaging (fMRI) with…

Image and Video Processing · Electrical Eng. & Systems 2024-03-15 Yohann Benchetrit , Hubert Banville , Jean-Rémi King

The analysis of brain connectivity aims to understand the emergence of functional networks into the brain. This information can be used in the process of electroencephalographic (EEG) signal analysis and classification for a braincomputer…

Neurons and Cognition · Quantitative Biology 2020-07-28 J. A. Gaxiola-Tirado

Graph-theoretical analyses of complex brain networks is a rapidly evolving field with a strong impact for neuroscientific and related clinical research. Due to a number of confounding variables, however, a reliable and meaningful…

Neurons and Cognition · Quantitative Biology 2014-08-27 Gerrit Ansmann , Klaus Lehnertz

The relation between large-scale brain structure and function is an outstanding open problem in neuroscience. We approach this problem by studying the dynamical regime under which realistic spatio-temporal patterns of brain activity emerge…

Neurons and Cognition · Quantitative Biology 2014-05-27 Ariel Haimovici , Enzo Tagliazucchi , Pablo Balenzuela , Dante R. Chialvo

Whole-brain network analyses remain the vanguard in neuroimaging research, coming to prominence within the last decade. Network science approaches have facilitated these analyses and allowed examining the brain as an integrated system.…

Applications · Statistics 2015-05-04 Sean L. Simpson , Paul J. Laurienti