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Understanding brain connectivity has become one of the most important issues in neuroscience. But connectivity data can reflect either the functional relationships of the brain activities or the anatomical properties between brain areas.…

Neurons and Cognition · Quantitative Biology 2015-04-13 Tiago Simas , Mario Chavez , Pablo Rodriguez , Albert Diaz-Guilera

The human brain is a complex dynamical system that gives rise to cognition through spatiotemporal patterns of coherent and incoherent activity between brain regions. As different regions dynamically interact to perform cognitive tasks,…

Neurons and Cognition · Quantitative Biology 2019-04-09 Kanika Bansal , Javier O. Garcia , Steven H. Tompson , Timothy Verstynen , Jean M. Vettel , Sarah F. Muldoon

Brain networks has attracted the interests of many neuroscientists. From functional MRI (fMRI) data, statistical tools have been developed to recover brain networks. However, the dimensionality of whole-brain fMRI, usually in hundreds of…

Methodology · Statistics 2014-04-08 Xi Luo

We present Hierarchical Residual Networks (HiResNets), deep convolutional neural networks with long-range residual connections between layers at different hierarchical levels. HiResNets draw inspiration on the organization of the mammalian…

Machine Learning · Computer Science 2025-02-27 Francisco M. López , Jochen Triesch

A study of correlations in tractable multiparticle cascade models in terms of wavelets reveals many promising features. The selfsimilar construction of the wavelet basis functions and their multiscale localization properties provide a new…

High Energy Physics - Phenomenology · Physics 2016-09-01 Martin Greiner , Jens Giesemann , Peter Lipa , Peter Carruthers

The study of hierarchy in networks of the human brain has been of significant interest among the researchers as numerous studies have pointed out towards a functional hierarchical organization of the human brain. This paper provides a novel…

Neurons and Cognition · Quantitative Biology 2021-03-02 Dushyant Sahoo , Theodore D. Satterthwaite , Christos Davatzikos

This paper presents findings from a study of the email network of a large scientific research organization, focusing on methods for visualizing and modeling organizational hierarchies within large, complex network datasets. In the first…

Social and Information Networks · Computer Science 2014-11-18 Benjamin H. Sims , Nikolai Sinitsyn , Stephan J. Eidenbenz

Over the recent years, Graph Neural Networks have become increasingly popular in network analytic and beyond. With that, their architecture noticeable diverges from the classical multi-layered hierarchical organization of the traditional…

Machine Learning · Computer Science 2021-05-17 Stanislav Sobolevsky

The human brain is composed of distinct regions that are each associated with particular functions and distinct propensities for the control of neural dynamics. However, the relation between these functions and control profiles is poorly…

Neurons and Cognition · Quantitative Biology 2020-06-02 Evelyn Tang , Harang Ju , Graham L. Baum , David R. Roalf , Theodore D. Satterthwaite , Fabio Pasqualetti , Danielle S. Bassett

We develop the hierarchical cluster coherence (HCC) method for brain signals, a procedure for characterizing connectivity in a network by clustering nodes or groups of channels that display high level of coordination as measured by…

Applications · Statistics 2017-11-21 Carolina Euan , Ying Sun , Hernando Ombao

Investigations of the human connectome have elucidated core features of adult structural networks, particularly the crucial role of hub-regions. However, little is known regarding network organisation of the healthy elderly connectome, a…

Neurons and Cognition · Quantitative Biology 2015-12-15 Alistair Perry , Wei Wen , Anton Lord , Anbupalam Thalamuthu , Perminder Sachdev , Michael Breakspear

This paper considers metric spaces where distances between a pair of nodes are represented by distance intervals. The goal is to study methods for the determination of hierarchical clusters, i.e., a family of nested partitions indexed by a…

Social and Information Networks · Computer Science 2016-10-17 Weiyu Huang , Alejandro Ribeiro

The human brain forms functional networks on all spatial scales. Modern fMRI scanners allow to resolve functional brain data in high resolutions, allowing to study large-scale networks that relate to cognitive processes. The analysis of…

Neurons and Cognition · Quantitative Biology 2019-05-14 Melanie Weber , Johannes Stelzer , Emil Saucan , Alexander Naitsat , Gabriele Lohmann , Jürgen Jost

Cross-correlations in the activity in neural networks are commonly used to characterize their dynamical states and their anatomical and functional organizations. Yet, how these latter network features affect the spatiotemporal structure of…

Neurons and Cognition · Quantitative Biology 2018-09-26 Ran Darshan , Carl van Vreeswijk , David Hansel

We analyze the complex networks associated with brain electrical activity. Multichannel EEG measurements are first processed to obtain 3D voxel activations using the tomographic algorithm LORETA. Then, the correlation of the current…

Biological Physics · Physics 2007-05-23 G. Ruffini , C. Ray , J. Marco , L. Fuentemilla , C. Grau

One of the most well-established tools for modeling the brain as a complex system is the functional connectivity network, which examines the correlations between pairs of interacting brain regions. While powerful, the network model is…

Information Theory · Computer Science 2022-06-15 Thomas F. Varley , Maria Pope , Joshua Faskowitz , Olaf Sporns

A wide variety of complex systems are characterized by interactions of different types involving varying numbers of units. Multiplex hypergraphs serve as a tool to describe such structures, capturing distinct types of higher-order…

Physics and Society · Physics 2024-09-10 Quintino Francesco Lotito , Alberto Montresor , Federico Battiston

Network analysis is rapidly becoming a standard tool for studying functional magnetic resonance imaging (fMRI) data. In this framework, different brain areas are mapped to the nodes of a network, whose links depict functional dependencies…

Neurons and Cognition · Quantitative Biology 2017-05-30 Rainer Kujala , Enrico Glerean , Raj Kumar Pan , Iiro P. Jääskeläinen , Mikko Sams , Jari Saramäki

Brain imaging data mapping onto human connectome networks enables the investigation of global brain dynamics, where the brain hubs play an essential role in transferring activity between different brain parts. At this scale, the…

Pattern Formation and Solitons · Physics 2025-07-11 Bosiljka Tadic , Marija Mitrovic Dankulov , Roderick Melnik

Forming perceptual groups and individuating objects in visual scenes is an essential step towards visual intelligence. This ability is thought to arise in the brain from computations implemented by bottom-up, horizontal, and top-down…

Computer Vision and Pattern Recognition · Computer Science 2020-10-29 Junkyung Kim , Drew Linsley , Kalpit Thakkar , Thomas Serre