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Spiking neural networks (SNN) are artificial computational models that have been inspired by the brain's ability to naturally encode and process information in the time domain. The added temporal dimension is believed to render them more…

Emerging Technologies · Computer Science 2019-05-29 S. R. Nandakumar , Irem Boybat , Manuel Le Gallo , Evangelos Eleftheriou , Abu Sebastian , Bipin Rajendran

Although recent neurophysiological experiments suggest that synchronous neural activity is involved in some perceptual and cognitive processes, the functional role of such coherent neuronal behavior is not well understood. As a first step…

Neurons and Cognition · Quantitative Biology 2007-05-23 Takaaki Aoki , Toshio Aoyagi

Over the past decade Spiking Neural Networks (SNN) have emerged as one of the popular architectures to emulate the brain. In SNN, information is temporally encoded and communication between neurons is accomplished by means of spikes. In…

Emerging Technologies · Computer Science 2016-12-14 Abhronil Sengupta , Aparajita Banerjee , Kaushik Roy

We propose a new model based on the Ising model with the aim to study synaptic plasticity phenomena in neural networks. It is today well established in biology that the synapses or connections between certain types of neurons are…

Disordered Systems and Neural Networks · Physics 2016-07-22 Eugene Pechersky , Guillem Via , Anatoly Yambartsev

We present a mathematical analysis of a networks with Integrate-and-Fire neurons and adaptive conductances. Taking into account the realistic fact that the spike time is only known within some \textit{finite} precision, we propose a model…

Biological Physics · Physics 2010-11-09 B. Cessac , T. Vieville

Spiking neural network offers the most bio-realistic approach to mimic the parallelism and compactness of the human brain. A spiking neuron is the central component of an SNN which generates information-encoded spikes. We present a…

Neural and Evolutionary Computing · Computer Science 2023-08-31 Md Mazharul Islam , Shamiul Alam , Catherine D Schuman , Md Shafayat Hossain , Ahmedullah Aziz

The spiking neural network (SNN) mimics the information processing operation in the human brain, represents and transmits information in spike trains containing wealthy spatial and temporal information, and shows superior performance on…

Neural and Evolutionary Computing · Computer Science 2021-10-25 Guobin Shen , Dongcheng Zhao , Yi Zeng

Artificial neural networks built from two-state neurons are powerful computational substrates, whose computational ability is well understood by analogy with statistical mechanics. In this work, we introduce similar analogies in the context…

Neural and Evolutionary Computing · Computer Science 2010-09-29 Paul Merolla , Tristan Ursell , John Arthur

Deep learning's success comes with growing energy demands, raising concerns about the long-term sustainability of the field. Spiking neural networks, inspired by biological neurons, offer a promising alternative with potential computational…

Neural and Evolutionary Computing · Computer Science 2025-03-05 Adalbert Fono , Manjot Singh , Ernesto Araya , Philipp C. Petersen , Holger Boche , Gitta Kutyniok

The synergy between spiking neural networks and neuromorphic hardware holds promise for the development of energy-efficient AI applications. Inspired by this potential, we revisit the foundational aspects to study the capabilities of…

Neural and Evolutionary Computing · Computer Science 2024-03-18 Manjot Singh , Adalbert Fono , Gitta Kutyniok

In this paper we present a novel approach to automatically infer parameters of spiking neural networks. Neurons are modelled as timed automata waiting for inputs on a number of different channels (synapses), for a given amount of time (the…

Neurons and Cognition · Quantitative Biology 2018-08-07 Elisabetta De Maria , Cinzia Di Giusto , Laetitia Laversa

Spiking Neural Networks (SNN) are mathematical models in neuroscience to describe the dynamics among a set of neurons that interact with each other by firing instantaneous signals, a.k.a., spikes. Interestingly, a recent advance in…

Neural and Evolutionary Computing · Computer Science 2018-11-22 Chi-Ning Chou , Kai-Min Chung , Chi-Jen Lu

Spiking neural networks (SNNs) are biologically inspired, event-driven models suited for temporal data processing and energy-efficient neuromorphic computing. In SNNs, richer neuronal dynamic allows capturing more complex temporal…

Machine Learning · Computer Science 2026-03-27 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

Spiking neural networks (SNN) distinguish themselves from artificial neural networks (ANN) because of their inherent temporal processing and spike-based computations, enabling a power-efficient implementation in neuromorphic hardware. In…

Neural and Evolutionary Computing · Computer Science 2023-11-29 Lucas Deckers , Laurens Van Damme , Ing Jyh Tsang , Werner Van Leekwijck , Steven Latré

We consider a new class of non Markovian processes with a countable number of interacting components, both in discrete and continuous time. Each component is represented by a point process indicating if it has a spike or not at a given…

Neurons and Cognition · Quantitative Biology 2015-02-24 A. Galves , E. Löcherbach

Spike synchrony, which occurs in various cortical areas in response to specific perception, action and memory tasks, has sparked a long-standing debate on the nature of temporal organization in cortex. One prominent view is that this type…

Neurons and Cognition · Quantitative Biology 2017-12-18 Clemens Korndörfer , Ekkehard Ullner , Jordi García-Ojalvo , Gordon Pipa

Spiking neural networks (SNNs) are posited as a computationally efficient and biologically plausible alternative to conventional neural architectures, with their core computational framework primarily using the leaky integrate-and-fire…

Neural and Evolutionary Computing · Computer Science 2025-03-18 Malyaban Bal , Abhronil Sengupta

We consider a stochastic model describing the spiking activity of a countable set of neurons spatially organized into a homogeneous tree of degree $d$, $d \geq 2$; the degree of a neuron is just the number of connections it has. Roughly,…

Probability · Mathematics 2022-05-17 A. M. B. Nascimento

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

Spiking neural networks (SNNs) offer a biologically grounded and energy-efficient alternative to conventional neural architectures; however, they struggle with long-range temporal dependencies due to fixed synaptic and membrane time…

Neural and Evolutionary Computing · Computer Science 2026-01-06 Sarim Chaudhry