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We assume that, within the dense clusters of neurons that can be found in nuclei, cells may interconnect via soma-to-soma interactions, in addition to conventional synaptic connections. We illustrate this idea with a multi-layer…

Neural and Evolutionary Computing · Computer Science 2016-09-30 Yonghua Yin , Erol Gelenbe

Experimental studies support the notion of spike-based neuronal information processing in the brain, with neural circuits exhibiting a wide range of temporally-based coding strategies to rapidly and efficiently represent sensory stimuli.…

Neural and Evolutionary Computing · Computer Science 2020-08-18 Brian Gardner , André Grüning

We address the problem of identifying functional interactions among stochastic neurons with variable-length memory from their spiking activity. The neuronal network is modeled by a stochastic system of interacting point processes with…

Applications · Statistics 2025-07-01 Ricardo F. Ferreira , Matheus E. Pacola , Vitor G. Schiavone , Rodrigo F. O. Pena

Many systems with propagation dynamics, such as spike propagation in neural networks and spreading of infectious diseases, can be approximated by autoregressive models. The estimation of model parameters can be complicated by the…

Neurons and Cognition · Quantitative Biology 2021-01-01 Jorge de Heuvel , Jens Wilting , Moritz Becker , Viola Priesemann , Johannes Zierenberg

This paper describes a radio architecture for distributed spectrum sharing of multiple channels among secondary users (SUs) in a wide band of frequencies and a localized area. A novel Multichannel Immediate Multiple Access (MIMA) physical…

Information Theory · Computer Science 2017-02-10 Mingming Cai , J. Nicholas Laneman

Neural dynamics is triggered by discrete synaptic inputs of finite amplitude. However, the neural response is usually obtained within the diffusion approximation (DA) representing the synaptic inputs as Gaussian noise. We derive a…

Neurons and Cognition · Quantitative Biology 2025-05-29 Denis S. Goldobin , Matteo di Volo , Alessandro Torcini

Spiking neural networks (SNNs) have captured apparent interest over the recent years, stemming from neuroscience and reaching the field of artificial intelligence. However, due to their nature SNNs remain far behind in achieving the…

Image and Video Processing · Electrical Eng. & Systems 2024-11-22 Katerina Maria Oikonomou , Vasiliki Balaska , Konstantinos A. Tsintotas , Christos N. Mavridis , Ioannis Kansizoglou , Antonios Gasteratos

As the demand for compute power in traditional neural networks has increased significantly, spiking neural networks (SNNs) have emerged as a potential solution to increasingly power-hungry neural networks. By operating on 0/1 spikes emitted…

Neural and Evolutionary Computing · Computer Science 2025-07-24 Andrew Fan , Simon D. Levy

The spatial preferential attachment (SPA) is a model for complex networks. In the SPA model, nodes are embedded in a metric space, and each node has a sphere of influence whose size increases if the node gains an in-link, and otherwise…

Social and Information Networks · Computer Science 2015-06-22 Jeannette Janssen , Pawel Pralat , Rory Wilson

We study in this paper the effect of an unique initial stimulation on random recurrent networks of leaky integrate and fire neurons. Indeed given a stochastic connectivity this so-called spontaneous mode exhibits various non trivial…

Neural and Evolutionary Computing · Computer Science 2007-05-23 H. Soula , G. Beslon , O. Mazet

Neuromorphic computing has recently gained momentum with the emergence of various neuromorphic processors. As the field advances, there is an increasing focus on developing training methods that can effectively leverage the unique…

Emerging Technologies · Computer Science 2025-04-15 Sanaz Mahmoodi Takaghaj , Jack Sampson

Regular perturbation is applied to space-division multiplexing (SDM) on optical fibers and motivates a correlated rotation-and-additive noise (CRAN) model. For S spatial modes, or 2S complex-alphabet channels, the model has 4S(S+1) hidden…

Information Theory · Computer Science 2021-09-28 Francisco Javier García-Gómez , Gerhard Kramer

Spiking neural networks (SNNs) represent a promising approach in machine learning, combining the hierarchical learning capabilities of deep neural networks with the energy efficiency of spike-based computations. Traditional end-to-end…

Neural and Evolutionary Computing · Computer Science 2024-11-12 Ruyin Wan , Qian Zhang , George Em Karniadakis

We investigate the efficient transmission and processing of weak, subthreshold signals in a realistic neural medium in the presence of different levels of the underlying noise. Assuming Hebbian weights for maximal synaptic conductances --…

Biological Physics · Physics 2015-08-19 Joaquin J. Torres , Irene Elices , J. Marro

A new mathematical model of memristive neural networks described by the partly diffusive reaction-diffusion equations with weak synaptic coupling is proposed and investigated. Under rather general conditions it is proved that there exists…

Analysis of PDEs · Mathematics 2023-08-01 Yuncheng You , Junyi Tu

In a series of two papers, we investigate the large deviations and asymptotic behavior of stochastic models of brain neural networks with random interaction coefficients. In this first paper, we take into account the spatial structure of…

Probability · Mathematics 2017-01-05 Tanguy Cabana , Jonathan Touboul

In sensory neurons the presence of noise can facilitate the detection of weak information-carrying signals, which are encoded and transmitted via correlated sequences of spikes. Here we investigate relative temporal order in spike sequences…

Neurons and Cognition · Quantitative Biology 2016-10-12 Jose A. Reinoso , M. C. Torrent , Cristina Masoller

Massively parallel recordings of spiking activity in cortical networks show that covariances vary widely across pairs of neurons. Their low average is well understood, but an explanation for the wide distribution in relation to the static…

Disordered Systems and Neural Networks · Physics 2019-08-13 David Dahmen , Markus Diesmann , Moritz Helias

In a Spiking Neural Networks (SNN), spike emissions are sparsely and irregularly distributed both in time and in the network architecture. Since a current feature of SNNs is a low average activity, efficient implementations of SNNs are…

Neural and Evolutionary Computing · Computer Science 2016-08-16 Anthony Mouraud , Didier Puzenat , Hélène Paugam-Moisy

Known as low energy consumption networks, spiking neural networks (SNNs) have gained a lot of attention within the past decades. While SNNs are increasing competitive with artificial neural networks (ANNs) for vision tasks, they are rarely…

Computation and Language · Computer Science 2024-12-25 Shuaijie Shen , Chao Wang , Renzhuo Huang , Yan Zhong , Qinghai Guo , Zhichao Lu , Jianguo Zhang , Luziwei Leng