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Related papers: Hemispheric-Specific Coupling Improves Modeling of…

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The problem of linking functional connectomics to behavior is extremely challenging due to the complex interactions between the two distinct, but related, data domains. We propose a coupled manifold optimization framework which projects…

Machine Learning · Computer Science 2020-07-07 Niharika Shimona D'Souza , Mary Beth Nebel , Nicholas Wymbs , Stewart Mostofsky , Archana Venkataraman

We study the effects of coupling between layers of stochastic neural field models with laminar structure. In particular, we focus on how the propagation of waves of neural activity in each layer is affected by the coupling. Synaptic…

Pattern Formation and Solitons · Physics 2015-06-17 Zachary P. Kilpatrick

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

Small-World Networks (SWNs) represent a fundamental model for the comprehension of many complex man-made and biological networks. In the central nervous system, SWN models have been shown to fit well both anatomical and functional maps at…

Functional connections in the brain are frequently represented by weighted networks, with nodes representing locations in the brain, and edges representing the strength of connectivity between these locations. One challenge in analyzing…

Applications · Statistics 2022-09-28 Yura Kim , Daniel Kessler , Elizaveta Levina

Recent studies proposed the use of Total Correlation to describe functional connectivity among brain regions as a multivariate alternative to conventional pair-wise measures such as correlation or mutual information. In this work we build…

Neurons and Cognition · Quantitative Biology 2022-11-28 Qiang Li , Greg Ver Steeg , Shujian Yu , Jesus Malo

This paper concerns the modeling of multi-way functional data where double or multiple indices are involved. We introduce a concept of weak separability. The weakly separable structure supports the use of factorization methods that…

Methodology · Statistics 2018-11-15 Brian Lynch , Kehui Chen

In this work we study the communication efficiency of a psychophysically-tuned cascade of Wilson-Cowan and Divisive Normalization layers that simulate the retina-V1 pathway. This is the first analysis of Wilson-Cowan networks in terms of…

Neurons and Cognition · Quantitative Biology 2019-07-31 Alexander Gomez-Villa , Marcelo Bertalmío , Jesús Malo

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…

Methodology · Statistics 2026-02-10 Haibo Wu , Marina I. Knight , Hernando Ombao

The contribution of structural connectivity to functional brain states remains poorly understood. We present a mathematical and computational study suited to assess the structure--function issue, treating a system of Jansen--Rit neural-mass…

Neurons and Cognition · Quantitative Biology 2020-07-10 Michael Forrester , Stephen Coombes , Jonathan J. Crofts , Stamatios N. Sotiropoulos , Reuben D. O'Dea

At the macroscale, the brain operates as a network of interconnected neuronal populations, which display rhythmic dynamics that support interareal communication. Understanding how stimulation of a particular brain area impacts such…

Neurons and Cognition · Quantitative Biology 2020-11-12 Lia Papadopoulos , Christopher W. Lynn , Demian Battaglia , Danielle S. Bassett

Correlations in the signal observed via functional Magnetic Resonance Imaging (fMRI), are expected to reveal the interactions in the underlying neural populations through hemodynamic response. In particular, they highlight distributed set…

Applications · Statistics 2012-02-07 Gaël Varoquaux , Alexandre Gramfort , Jean Baptiste Poline , Bertrand Thirion

The population model of Wilson-Cowan is perhaps the most popular in the history of computational neuroscience. It embraces the nonlinear mean field dynamics of excitatory and inhibitory neuronal populations provided via a temporal…

Neurons and Cognition · Quantitative Biology 2023-09-13 Maryam Saadati , Saba Sadat Khodaei , Yousef Jamali

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…

Applications · Statistics 2018-10-09 Xu Gao , Weining Shen , Chee-Ming Ting , Steven C. Cramer , Ramesh Srinivasan , Hernando Ombao

Cellular neural circuit and networks consisting of interconnected neurons and glia are ulti- mately responsible for the information processing associated with information processing in the brain. While there are major efforts aimed at…

Neurons and Cognition · Quantitative Biology 2015-05-18 Marius Buibas , Gabriel A. Silva

Experimental fMRI studies have shown that spontaneous brain activity i.e. in the absence of any external input, exhibit complex spatial and temporal patterns of co-activity between segregated brain regions. These so-called large-scale…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Vesna Vuksanović , Philipp Hövel

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,…

Image and Video Processing · Electrical Eng. & Systems 2023-08-22 Qiankun Zuo , Yanfei Zhu , Libin Lu , Zhi Yang , Yuhui Li , Ning Zhang

A large body of literature has shown the substantial inter-regional functional connectivity in the mammal brain. One important property remaining un-studied is the cross-time interareal connection. This paper serves to provide a tool to…

Neurons and Cognition · Quantitative Biology 2021-09-06 Ze Wang

The brain is often studied from a network perspective, where functional activity is assessed using functional Magnetic Resonance Imaging (fMRI) to estimate connectivity between predefined neuronal regions. Functional connectivity can be…

Applications · Statistics 2025-07-22 Olivier Bisson , Yanis Aeschlimann , Samuel Deslauriers-Gauthier , Xavier Pennec

The correlation matrix is a central representation of functional brain networks in neuroimaging. Traditional analyses often treat pairwise interactions independently in a Euclidean setting, overlooking the intrinsic geometry of correlation…

Machine Learning · Statistics 2025-04-10 Kisung You , Yelim Lee , Hae-Jeong Park