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Studies of the dynamics of nonlinear recurrent neural networks often assume independent and identically distributed couplings, but large-scale connectomics data indicate that biological neural circuits exhibit markedly different…

Neurons and Cognition · Quantitative Biology 2025-10-28 David G. Clark , Owen Marschall , Alexander van Meegen , Ashok Litwin-Kumar

For many networks of scientific interest we know both the connections of the network and information about the network nodes, such as the age or gender of individuals in a social network, geographic location of nodes in the Internet, or…

Social and Information Networks · Computer Science 2016-06-17 M. E. J. Newman , Aaron Clauset

Higher-order connectivity in complex systems described by simplexes of different orders provides a geometry for simplex-based dynamical variables and interactions. Simplicial complexes that constitute a functional geometry of the human…

Neurons and Cognition · Quantitative Biology 2020-06-19 Miroslav Andjelkovic , Bosiljka Tadic , Roderick Melnik

Connectivity patterns of relevance in neuroscience and systems biology can be encoded in hierarchical modular networks (HMNs). Moreover, recent studies highlight the role of hierarchical modular organization in shaping brain activity…

Disordered Systems and Neural Networks · Physics 2017-11-22 Ali Safari , Paolo Moretti , Miguel A. Muñoz

How intelligence emerges from living beings has been a fundamental question in neuroscience. However, it remains largely unanswered due to the complex neuronal dynamics and intricate connections between neurons in real neural systems. To…

Neurons and Cognition · Quantitative Biology 2024-09-04 Xiaoyu Zhang , Pengcheng Yang , Jiawei Feng , Qiang Luo , Wei Lin , Xin Lu

The human brains are organized into hierarchically modular networks facilitating efficient and stable information processing and supporting diverse cognitive processes during the course of development. While the remarkable reconfiguration…

Neurons and Cognition · Quantitative Biology 2020-09-16 Xuyun Wen , Liming Hsu , Weili Lin , Han Zhang , Dinggang Shen

One major challenge in neuroscience is the identification of interrelations between signals reflecting neural activity and how information processing occurs in the neural circuits. At the cellular and molecular level, mechanisms of signal…

Applications · Statistics 2019-09-27 Giacomo Aletti , Davide Lonardoni , Giovanni Naldi , Thierry Nieus

In the study of the human connectome, the vertices and the edges of the network of the human brain are analyzed: the vertices of the graphs are the anatomically identified gray matter areas of the subjects; this set is exactly the same for…

Neurons and Cognition · Quantitative Biology 2018-11-26 Mate Fellner , Balint Varga , Vince Grolmusz

One of the crucial questions in neuroscience is how a rich functional repertoire of brain states relates to its underlying structural organization. How to study the associations between these structural and functional layers is an open…

Neurons and Cognition · Quantitative Biology 2018-02-22 Enrico Amico , Joaquín Goñi

This article focuses on the problem of studying shared- and individual-specific structure in replicated networks or graph-valued data. In particular, the observed data consist of $n$ graphs, $G_i, i=1,\ldots,n$, with each graph consisting…

Computation · Statistics 2018-04-13 Lu Wang , Zhengwu Zhang , David Dunson

Large-scale human social network structure is typically inferred from digital trace samples of online social media platforms or mobile communication data. Instead, here we investigate the social network structure of a complete population,…

Physics and Society · Physics 2022-11-29 Eszter Bokányi , Eelke M. Heemskerk , Frank W. Takes

Although neural networks are capable of reaching astonishing performances on a wide variety of contexts, properly training networks on complicated tasks requires expertise and can be expensive from a computational perspective. In industrial…

Machine Learning · Statistics 2021-05-11 Théo Lacombe , Yuichi Ike , Mathieu Carriere , Frédéric Chazal , Marc Glisse , Yuhei Umeda

One of the paramount challenges in neuroscience is to understand the dynamics of individual neurons and how they give rise to network dynamics when interconnected. Historically, researchers have resorted to graph theory, statistics, and…

Neurons and Cognition · Quantitative Biology 2019-02-08 Jean-Baptiste Bardin , Gard Spreemann , Kathryn Hess

Divergent brain connectivity is thought to underlie the behavioral and cognitive symptoms observed in many neurodevelopmental disorders. Quantifying divergence from neurotypical connectivity patterns offers a promising pathway to inform…

Neurons and Cognition · Quantitative Biology 2024-11-19 Rui Sherry Shen , Yusuf Osmanlıoğlu , Drew Parker , Darien Aunapu , Benjamin E. Yerys , Birkan Tunç , Ragini Verma

The human brain is organized into large-scale functional modules that have been shown to evolve in childhood and adolescence. However, it remains unknown whether structural brain networks are similarly refined during development,…

The main goal of this study is to extract a set of brain networks in multiple time-resolutions to analyze the connectivity patterns among the anatomic regions for a given cognitive task. We suggest a deep architecture which learns the…

Machine Learning · Statistics 2017-08-16 Arash Rahnama , Abdullah Alchihabi , Vijay Gupta , Panos Antsaklis , Fatos T. Yarman Vural

This study focuses on the task of supervised prediction of aging-related genes from -omics data. Unlike gene expression methods for this task that capture aging-specific information but ignore interactions between genes (i.e., their protein…

Molecular Networks · Quantitative Biology 2021-04-14 Qi Li , Khalique Newaz , Tijana Milenković

Recent studies have demonstrated that network approaches are highly appropriate tools to understand the extreme complexity of the aging process. The generality of the network concept helps to define and study the aging of technological,…

Molecular Networks · Quantitative Biology 2009-09-28 Gabor I. Simko , David Gyurko , Daniel V. Veres , Tibor Nanasi , Peter Csermely

Topological Data Analysis (TDA) is increasingly crucial in investigating the shape of complex data structures across scientific fields, particularly in neuroscience and finance. This study delves into persistent homology, a TDA component…

Physics and Society · Physics 2024-09-17 Roel Gisolf , Fernando A. N. Santos , Felix Wierstra

The human connectome has been widely studied over the past decade. A principal finding is that it can be decomposed into communities of densely interconnected brain regions. This result, however, may be limited methodologically. Past…

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