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In this paper, we study a hypothesis test to determine the underlying directed graph structure of nodes in a network, where the nodes represent random processes and the direction of the links indicate a causal relationship between said…

Information Theory · Computer Science 2021-08-26 Sina Molavipour , Germán Bassi , Mikael Skoglund

This paper presents methods to analyze functional brain networks and signals from graph spectral perspectives. The notion of frequency and filters traditionally defined for signals supported on regular domains such as discrete time and…

Neurons and Cognition · Quantitative Biology 2016-11-03 Weiyu Huang , Leah Goldsberry , Nicholas F. Wymbs , Scott T. Grafton , Danielle S. Bassett , Alejandro Ribeiro

Brain network analysis based on functional Magnetic Resonance Imaging (fMRI) is pivotal for diagnosing brain disorders. Existing approaches typically rely on predefined functional sub-networks to construct sub-network associations. However,…

Machine Learning · Computer Science 2026-03-11 Jingfeng Tang , Peng Cao , Guangqi Wen , Jinzhu Yang , Xiaoli Liu , Osmar R. Zaiane

Data-driven brain parcellations aim to provide a more accurate representation of an individual's functional connectivity, since they are able to capture individual variability that arises due to development or disease. This renders…

Neurons and Cognition · Quantitative Biology 2017-03-30 Sofia Ira Ktena , Salim Arslan , Sarah Parisot , Daniel Rueckert

Finding the common structural brain connectivity network for a given population is an open problem, crucial for current neuro-science. Recent evidence suggests there's a tightly connected network shared between humans. Obtaining this…

Neurons and Cognition · Quantitative Biology 2017-01-10 Nahuel Lascano , Guillermo Gallardo , Rachid Deriche , Dorian Mazauric , Demian Wassermann

Understanding the temporal dynamics of functional brain connectivity is important for addressing various questions in network neuroscience, such as how connectivity affects cognition and changes with disease. A fundamental challenge is to…

Methodology · Statistics 2025-12-02 Hester Huijsdens , Linda Geerligs , Max Hinne

Sustainable research on computational models of neuronal networks requires published models to be understandable, reproducible, and extendable. Missing details or ambiguities about mathematical concepts and assumptions, algorithmic…

Structural and functional neuroimaging modalities provide complementary windows into brain organization: structural imaging characterizes neural tissue anatomy and microstructure, while functional imaging captures dynamic patterns of neural…

Methodology · Statistics 2026-03-24 Sakul Mahat , Sharmistha Guha , Jessica Bernard

Technological advancements in noninvasive imaging facilitate the construction of whole brain interconnected networks, known as brain connectivity. Existing approaches to analyze brain connectivity frequently disaggregate the entire network…

Methodology · Statistics 2023-09-26 Xinyuan Tian , Fan Li , Li Shen , Denise Esserman , Yize Zhao

With the emergence of dynamic multiplex networks, corresponding to graphs where multiple types of edges evolve over time, a key inferential task is to determine whether the layers associated with different edge types differ in their…

Methodology · Statistics 2025-12-04 Maximilian Baum , Francesco Sanna Passino , Axel Gandy

We present here a browser-based application for visualizing patterns of connectivity in 3D stacked data matrices with large numbers of pairwise relations. Visualizing a connectivity matrix, looking for trends and patterns, and dynamically…

Neurons and Cognition · Quantitative Biology 2018-01-04 David J. Caldwell , Jing Wu , Kaitlyn Casimo , Jeffrey G. Ojemann , Rajesh P. N. Rao

The introduction of graph theory in neuroimaging has pro- vided invaluable tools for the study of brain connectivity. These methods require the definition of a graph, which is typically derived by estimating the effective connectivity…

Methodology · Statistics 2016-12-19 Nicolas Honnorat , Christos Davatzikos

Neighborhood selection is a widely used method used for estimating the support set of sparse precision matrices, which helps determine the conditional dependence structure in undirected graphical models. However, reporting only point…

Methodology · Statistics 2023-12-29 Yiling Huang , Snigdha Panigrahi , Walter Dempsey

Machine learning provides a valuable tool for analyzing high-dimensional functional neuroimaging data, and is proving effective in predicting various neurological conditions, psychiatric disorders, and cognitive patterns. In functional…

Machine Learning · Computer Science 2024-11-25 Anwar Said , Roza G. Bayrak , Tyler Derr , Mudassir Shabbir , Daniel Moyer , Catie Chang , Xenofon Koutsoukos

Estimation of brain functional connectivity from EEG data is of great importance both for medical research and diagnosis. It involves quantifying the conditional dependencies among the activity of different brain areas from the time-varying…

Methodology · Statistics 2026-01-06 Alessia Mapelli , Laura Carini , Francesca Ieva , Sara Sommariva

Resting-state functional MRI (rs-fMRI) in functional neuroimaging techniques have improved in brain disorders, dysfunction studies via mapping the topology of the brain connections, i.e. connectopic mapping. Since, there are the slight…

Image and Video Processing · Electrical Eng. & Systems 2019-07-18 Jalal Mirakhorli , Hamidreza Amindavar , Mojgan Mirakhorli

Many analyses of functional magnetic resonance imaging (fMRI) examine functional connectivity (FC), or the statistical dependencies among distant brain regions. These analyses are typically exploratory, guiding future confirmatory research.…

Applications · Statistics 2025-10-20 Kyle Stanley , Nicole Lazar , Matthew Reimherr

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

Network analysis is often focused on characterizing the dependencies between network relations and node-level attributes. Potential relationships are typically explored by modeling the network as a function of the nodal attributes or by…

Methodology · Statistics 2013-06-21 Bailey K. Fosdick , Peter D. Hoff

Brain disorders are an umbrella term for a group of neurological and psychiatric conditions that have a major effect on thinking, feeling, and acting. These conditions encompass a wide range of conditions. The illnesses in question pose…

Neurons and Cognition · Quantitative Biology 2025-11-11 Aniruddha Saha , Soujanya Hazra , Sanjay Ghosh