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Spike propagation for spatially correlated inputs in layered neural networks has been investigated with the use of a semi-analytical dynamical mean-field approximation (DMA) theory recently proposed by the author [H. Hasegawa, Phys. Rev. E…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hideo Hasegawa

The velocity autocorrelation function (VAF) for a two-dimensional one-component plasma (OCP) is investigated by employing molecular dynamics techniques. The VAF exhibits well defined oscillations whose frequency is independent of the…

Mesoscale and Nanoscale Physics · Physics 2016-02-15 Girija S. Dubey , Godfrey Gumbs

Despite intense recent research, the neural correlates of conscious visual perception remain elusive. The most established paradigm for studying brain mechanisms underlying conscious perception is to keep the physical sensory inputs…

Neurons and Cognition · Quantitative Biology 2014-03-21 Qi Li , Zachary Hill , Biyu J. He

Visual recognition takes a small fraction of a second and relies on the cascade of signals along the ventral visual stream. Given the rapid path through multiple processing steps between photoreceptors and higher visual areas, information…

Neurons and Cognition · Quantitative Biology 2014-04-28 Jedediah M. Singer , Joseph R. Madsen , William S. Anderson , Gabriel Kreiman

In this paper, we consider the problem of activity detection in grant-free code-domain non-orthogonal multiple access (NOMA). We focus on performing activity detection via subspace methods under a setup where the data and pilot spreading…

Information Theory · Computer Science 2022-09-19 Bashar Tahir , Stefan Schwarz , Markus Rupp

Targeted electrical stimulation of the brain perturbs neural networks and modulates their rhythmic activity both at the site of stimulation and at remote brain regions. Understanding, or even predicting, this neuromodulatory effect is…

Neurons and Cognition · Quantitative Biology 2021-06-29 Christoforos Papasavvas , Peter Neal Taylor , Yujiang Wang

Neural representations of visual perception are affected by mental imagery and attention. Although attention is known to modulate neural representations, it is unknown how imagery changes neural representations when imagined and perceived…

We used a ~300 ks long XMM-Newton observation of the Seyfert 1 galaxy MCG-6-30-15 to study the correlation between the 0.2-10 keV X-ray and the 3000-4000 A bands. We found a significant correlation peak at a time lag of 160 ks where the UV…

Astrophysics · Physics 2009-11-10 P. Arevalo , I. Papadakis , B. Kuhlbrodt , W. Brinkmann

Introducing correlations between the spatial and temporal degrees of freedom of a pulsed optical beam (or wave packet) can profoundly alter its propagation in free space. Indeed, appropriate spatio-temporal spectral correlations can render…

Auto- and cross-spectral density functions for dynamic {random} fields and power are derived. These are based on first- and second-order Pad\'{e} approximants of correlation functions expanded in terms of spectral moments. The second-order…

Classical Physics · Physics 2024-04-04 Luk R. Arnaut

We investigate the modes of oscillation of heterogeneous ring-networks of quadratic integrate-and-fire neurons with non-local, space-dependent coupling. Perturbations of the equilibrium state with a particular wave number produce transient…

Neurons and Cognition · Quantitative Biology 2017-11-15 Jose M. Esnaola-Acebes , Alex Roxin , Daniele Avitabile , Ernest Montbrió

The activity of neurons within brain circuits has been ubiquitously reported to be correlated. The impact of these correlations on brain function has been extensively investigated. Correlations can in principle increase or decrease the…

Neurons and Cognition · Quantitative Biology 2025-07-24 Miguel Ibáñez-Berganza , Giulio Bondanelli , Stefano Panzeri

We address a question on the effect of common stochastic inputs on the correlation of the spikes trains of two neurons when they are possibly nonidentical and are coupled through direct connections. We show that the change in the…

Neurons and Cognition · Quantitative Biology 2013-04-24 E. Bolhasani , Y. Azizi , A. Valizadeh

We consider the correlation of the electromagnetic field to determine spatial coherence inside a sonoluminescing bubble. We explicitly calculate the first order correlation function for two limiting cases of the excitation field: a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Pritiraj Mohanty

Perceptual similarity is a cognitive judgment that represents the end-stage of a complex cascade of hierarchical processing throughout visual cortex. Previous studies have shown a correspondence between the similarity of coarse-scale fMRI…

Neurons and Cognition · Quantitative Biology 2016-02-11 Susan G. Wardle , Nikolaus Kriegeskorte , Tijl Grootswagers , Seyed-Mahdi Khaligh-Razavi , Thomas A. Carlson

Beta oscillations observed in motor cortical local field potentials (LFPs) recorded on separate electrodes of a multi-electrode array have been shown to exhibit non-zero phase shifts that organize into a planar wave propagation. Here, we…

Neurons and Cognition · Quantitative Biology 2018-03-28 Michael Denker , Lyuba Zehl , Bjørg E. Kilavik , Markus Diesmann , Thomas Brochier , Alexa Riehle , Sonja Grün

We study the excitation spectrum and the correlation functions of the Z_3- chiral Potts model in the massive high-temperature phase using perturbation expansions and numerical diagonalization. We are mainly interested in results for general…

High Energy Physics - Theory · Physics 2009-10-28 A. Honecker , G. von Gehlen

The two-point correlation function is computed for galaxies and groups of galaxies selected using 3-dimensional information from the Updated Zwicky Galaxy Catalog - (UZC). The redshift space distortion of the correlation function…

Mammalian spatial navigation relies on specialized neurons, such as place and grid cells, which encode position based on self-motion and environmental cues. While extensive research has explored the computational role of grid cells, the…

Neurons and Cognition · Quantitative Biology 2026-03-02 Jared Deighton , Wyatt Mackey , Ioannis Schizas , David L. Boothe , Vasileios Maroulas

By the methods of the time series analysis we investigate human vestibular and optovestibular nystagmus time series. They can be stationary or nonstationary and are between the classes of purely periodic or purely chaotic time series. The…

Chaotic Dynamics · Physics 2007-05-23 Nikolay K. Vitanov , Veneta Todorova