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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

Multilayer networks offer a powerful framework for modeling complex systems across diverse domains, effectively capturing multiple types of connections and interdependent subsystems commonly found in real world scenarios. To analyze these…

Social and Information Networks · Computer Science 2026-02-20 Martin Guillemaud , Vera Dinkelacker , Mario Chavez

In exchange for large quantities of data and processing power, deep neural networks have yielded models that provide state of the art predication capabilities in many fields. However, a lack of strong guarantees on their behaviour have…

Machine Learning · Computer Science 2020-01-22 Haakon Robinson , Adil Rasheed , Omer San

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

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

Representing various networked data as multiplex networks, networks of networks and other multilayer networks can reveal completely new types of structures in these system. We introduce a general and principled graphlet framework for…

Physics and Society · Physics 2022-04-22 Sallamari Sallmen , Tarmo Nurmi , Mikko Kivelä

Vascular networks play a crucial role in understanding brain functionalities. Brain integrity and function, neuronal activity and plasticity, which are crucial for learning, are actively modulated by their local environments, specifically…

Neurons and Cognition · Quantitative Biology 2024-02-28 Jiachen Yao , Nina Hagemann , Qiaojie Xiong , Jianxu Chen , Dirk M. Hermann , Chao Chen

An essential step toward understanding neural circuits is linking their structure and their dynamics. In general, this relationship can be almost arbitrarily complex. Recent theoretical work has, however, begun to identify some broad…

Neurons and Cognition · Quantitative Biology 2017-03-10 Gabriel Koch Ocker , Yu Hu , Michael A. Buice , Brent Doiron , Krešimir Josić , Robert Rosenbaum , Eric Shea-Brown

Based on a large dataset containing thousands of real-world networks ranging from genetic, protein interaction, and metabolic networks to brain, language, ecology, and social networks we search for defining structural measures of the…

Machine Learning · Computer Science 2021-06-22 Máté Józsa , Alpár S. Lázár , Zsolt I. Lázár

Networks of neurons in some brain areas are flexible enough to encode new memories quickly. Using a standard firing rate model of recurrent networks, we develop a theory of flexible memory networks. Our main results characterize networks…

Neurons and Cognition · Quantitative Biology 2015-02-25 Carina Curto , Anda Degeratu , Vladimir Itskov

Multimodal brain networks characterize complex connectivities among different brain regions from both structural and functional aspects and provide a new means for mental disease analysis. Recently, Graph Neural Networks (GNNs) have become…

Neurons and Cognition · Quantitative Biology 2022-05-25 Yanqiao Zhu , Hejie Cui , Lifang He , Lichao Sun , Carl Yang

The modular structure of brain networks supports specialized information processing, complex dynamics, and cost-efficient spatial embedding. Inter-individual variation in modular structure has been linked to differences in performance,…

Global brain activity self-organizes into discrete patterns characterized by distinct behavioral observables and modes of information processing. The human thalamocortical system is a densely connected network where local neural activation…

Recent research on network embedding in hyperbolic space have proven successful in several applications. However, nodes in real world networks tend to interact through several distinct channels. Simple aggregation or ignorance of this…

Social and Information Networks · Computer Science 2021-11-02 Peiyuan Sun

Data produced by resting-state functional Magnetic Resonance Imaging are widely used to infer brain functional connectivity networks. Such networks correlate neural signals to connect brain regions, which consist in groups of dependent…

Methodology · Statistics 2023-12-05 Hanâ Lbath , Alexander Petersen , Sophie Achard

Mental and cognitive representations are believed to reside on low-dimensional, non-linear manifolds embedded within high-dimensional brain activity. Uncovering these manifolds is key to understanding individual differences in brain…

Machine Learning · Computer Science 2025-05-02 Eloy Geenjaar , Vince Calhoun

High-throughput techniques are leading to an explosive growth in the size of biological databases and creating the opportunity to revolutionize our understanding of life and disease. Interpretation of these data remains, however, a major…

Molecular Networks · Quantitative Biology 2009-11-11 Roger Guimera , Luis A. Nunes Amaral

To meet ongoing cognitive demands, the human brain must seamlessly transition from one brain state to another, in the process drawing on different cognitive systems. How does the brain's network of anatomical connections help facilitate…

Neurons and Cognition · Quantitative Biology 2016-09-08 Richard F. Betzel , Shi Gu , John D. Medaglia , Fabio Pasqualetti , Danielle S. Bassett

Multilayer networks have permeated all the sciences as a powerful mathematical abstraction for interdependent heterogenous complex systems such as multimodal brain connectomes, transportation, ecological systems, and scientific…

Algebraic Topology · Mathematics 2023-06-28 Elkaïoum M. Moutuou , Obaï B. K. Ali , Habib Benali

Understanding how the brain's complex nonlinear dynamics give rise to cognitive function remains a central challenge in neuroscience. While brain functional dynamics exhibits scale-free and multifractal properties across temporal scales,…

Neurons and Cognition · Quantitative Biology 2025-06-18 Sangyoon Bae , Junbeom Kwon , Shinjae Yoo , Jiook Cha
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