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Neural interactions occur on different levels and scales. It is of particular importance to understand how they are distributed among different neuroanatomical and physiological relevant brain regions. We investigated neural cross-frequency…

Adaptation and Self-Organizing Systems · Physics 2023-10-20 Dushko Lukarski , Spase Petkoski , Peng Ji , Tomislav Stankovski

Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction scheme underlying interdependent oscillatory components governs the emergence of network-wide patterns of synchrony that regulate and enable…

Adaptation and Self-Organizing Systems · Physics 2022-08-12 Tommaso Menara , Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

Determining how synaptic coupling within and between regions is modulated during sensory processing is an important topic in neuroscience. Electrophysiological recordings provide detailed information about neural spiking but have…

Neurons and Cognition · Quantitative Biology 2018-02-07 Andrea K. Barreiro , Shree Hari Gautam , Woodrow L. Shew , Cheng Ly

A standard approach in functional neuroimaging explores how a particular cognitive task activates a set of brain regions (one task-to-many regions mapping). Importantly though, the same neural system can be activated by inherently different…

Neurons and Cognition · Quantitative Biology 2016-03-23 Romy Lorenz , Ricardo Pio Monti , Ines R. Violante , Christoforos Anagnostopoulos , Aldo A. Faisal , Giovanni Montana , Robert Leech

We investigate the relationship of resting-state fMRI functional connectivity estimated over long periods of time with time-varying functional connectivity estimated over shorter time intervals. We show that using Pearson's correlation to…

Neurons and Cognition · Quantitative Biology 2016-09-08 Richard F. Betzel , Makoto Fukushima , Ye He , Xi-Nian Zuo , Olaf Sporns

We analyze functional magnetic resonance imaging (fMRI) data from the Human Connectome Project (HCP) to match brain activities during a range of cognitive tasks. Our findings demonstrate that even basic linear machine learning models can…

Neurons and Cognition · Quantitative Biology 2025-10-08 Valeriya Kirova , Dzerassa Kadieva , Daniil Vlasenko , Isak B. Blank , Fedor Ratnikov

In practical applications to free-space quantum communications, the utilization of active beam coupling and stabilization techniques offers notable advantages, particularly when dealing with limited detecting areas or coupling into…

Quantum Physics · Physics 2023-11-07 Dohoon Lim , Dongkyu Kim , Kyungdeuk Park , Dong-Gil Im , Yong Sup Ihn

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

Functional magnetic resonance imaging (fMRI) aims to locate activated regions in human brains when specific tasks are performed. The conventional tool for analyzing fMRI data applies some variant of the linear model, which is restrictive in…

Statistics Theory · Mathematics 2008-08-08 Chunming Zhang , Tao Yu

We develop a formalism to analyze the behaviour of pulse--coupled identical phase oscillators with a specific attention devoted to the onset of partial synchronization. The method, which allows describing the dynamics both at the…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. K. Mohanty , Antonio Politi

In this study, we propose a neural network approach to capture the functional connectivities among anatomic brain regions. The suggested approach estimates a set of brain networks, each of which represents the connectivity patterns of a…

Computer Vision and Pattern Recognition · Computer Science 2018-07-24 Baran Baris Kivilcim , Itir Onal Ertugrul , Fatos T. Yarman Vural

A striking consequence of the Hohenberg-Kohn theorem of density functional theory is the existence of a bijection between the local density and the ground-state many-body wave function. Here we study the problem of constructing…

Disordered Systems and Neural Networks · Physics 2020-08-17 Javier Robledo Moreno , Giuseppe Carleo , Antoine Georges

For neurological disorders and diseases, functional and anatomical connectomes of the human brain can be used to better inform targeted interventions and treatment strategies. Functional magnetic resonance imaging (fMRI) is a non-invasive…

Methodology · Statistics 2023-07-03 Matt Ryan , Gary Glonek , Jono Tuke , Melissa Humphries

Despite considerable work on the energy-level and wavefunction statistics of disordered quantum systems, numerical studies of those statistics relevant for electron-electron interactions in mesoscopic systems have been lacking. We plug this…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mike Miller , Denis Ullmo , Harold U. Baranger

We study convergence in networks of piecewise-smooth (PWS) systems that commonly arise in applications to model dynamical systems whose evolution is affected by macroscopic events such as switches and impacts. Existing approaches were…

Systems and Control · Electrical Eng. & Systems 2021-11-16 Marco Coraggio , Pietro DeLellis , S. John Hogan , Mario di Bernardo

Functional connectivity (FC) has been widely used to study brain network interactions underlying the emerging cognition and behavior of an individual. FC is usually defined as the correlation or partial correlation between brain regions.…

Applications · Statistics 2020-10-27 Gemeng Zhang , Aiying Zhang , Biao Cai , Zhuozhuo Tu , Vince D. Calhoun , Yu-Ping Wang

Functional connectivity is a fundamental property of neural networks that quantifies the segregation and integration of information between cortical areas. Due to mathematical complexity, a theory that could explain how the parameters of…

Neurons and Cognition · Quantitative Biology 2016-05-27 Diego Fasoli , Anna Cattani , Stefano Panzeri

We profile the impact of computation and inter-processor communication on the energy consumption and on the scaling of cortical simulations approaching the real-time regime on distributed computing platforms. Also, the speed and energy…

Spin-orbit interaction affects the band structure of topological insulators beyond the opening of an inverted gap in the bulk bands, and the understanding of its effects on the surface states is of primary importance to access the…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 Denny Puntel , Simone Peli , Wibke Bronsch , Federico Cilento , Hubert Ebert , Jürgen Braun , Fulvio Parmigiani

This paper focuses on the analysis of spatially correlated functional data. The between-curve correlation is modeled by correlating functional principal component scores of the functional data. We propose a Spatial Principal Analysis by…

Statistics Theory · Mathematics 2014-11-19 Chong Liu , Surajit Ray , Giles Hooker