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In spiking neural networks (SNNs), the main unit of information processing is the neuron with an internal state. The internal state generates an output spike based on its component associated with the membrane potential. This spike is then…

机器学习 · 计算机科学 2025-08-11 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

We study the collective dynamics of a Leaky Integrate and Fire network in which precise relative phase relationship of spikes among neurons are stored, as attractors of the dynamics, and selectively replayed at differentctime scales. Using…

神经元与认知 · 定量生物学 2012-10-26 Silvia Scarpetta , Ferdinando Giacco

We study an abstracted model of neuronal activity via numerical simulation, and report spatiotemporal pattern formation and critical like dynamics. A population of pulse coupled, discretised, relaxation oscillators is simulated over…

神经元与认知 · 定量生物学 2019-04-24 Dionysios Georgiadis , Didier Sornette

Spiking Neural P systems, SNP systems for short, are biologically inspired computing devices based on how neurons perform computations. SNP systems use only one type of symbol, the spike, in the computations. Information is encoded in the…

神经与进化计算 · 计算机科学 2012-10-24 Francis George C. Cabarle , Kelvin C. Buño , Henry N. Adorna

The spiking activity of single neurons can be well described by a nonlinear integrate-and-fire model that includes somatic adaptation. When exposed to fluctuating inputs sparsely coupled populations of these model neurons exhibit stochastic…

神经元与认知 · 定量生物学 2017-07-20 Moritz Augustin , Josef Ladenbauer , Fabian Baumann , Klaus Obermayer

Correlations are employed in modern physics to explain microscopic and macroscopic phenomena, like the fractional quantum Hall effect and the Mott insulator state in high temperature superconductors and ultracold atoms. Simultaneously…

神经元与认知 · 定量生物学 2013-02-20 Moritz Helias , Tom Tetzlaff , Markus Diesmann

This study explores how the selection of neuron models and learning rules impacts the classification performance of Spiking Neural Networks (SNNs), with a focus on applications in bio-signal processing. We compare biologically inspired…

神经元与认知 · 定量生物学 2025-09-10 Zofia Rudnicka , Janusz Szczepanski , Agnieszka Pregowska

We consider a simple Markovian class of the stochastic Wilson-Cowan type models of neuronal network dynamics, which incorporates stochastic delay caused by the existence of a refractory period of neurons. From the point of view of the…

神经元与认知 · 定量生物学 2015-05-01 Igor Goychuk , Andriy Goychuk

We review different aspects of the simulation of spiking neural networks. We start by reviewing the different types of simulation strategies and algorithms that are currently implemented. We next review the precision of those simulation…

Emerging technologies are revealing the spiking activity in ever larger neural ensembles. Frequently, this spiking is far from independent, with correlations in the spike times of different cells. Understanding how such correlations impact…

神经元与认知 · 定量生物学 2013-05-20 James Trousdale , Yu Hu , Eric Shea-Brown , Krešimir Josić

In many realistic networks, the edges representing the interactions between the nodes are time-varying. There is growing evidence that the complex network that models the dynamics of the human brain has time-varying interconnections, i.e.,…

神经元与认知 · 定量生物学 2016-11-29 G Manjunath

Spiking neural networks (SNN) are a biologically inspired model of neural networks with certain brain-like properties. In the past few decades, this model has received increasing attention in computer science community, owing also to the…

神经与进化计算 · 计算机科学 2024-03-28 Prithwineel Paul , Petr Sosik , Lucie Ciencialova

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…

神经元与认知 · 定量生物学 2007-05-23 Takaaki Aoki , Toshio Aoyagi

We aim at building a bridge between to {\it a priori} disconnected fields: Neuroscience and Material Science. We construct an analogy based on identifying spikes events in time with the positions of particles of matter. We show that one may…

神经元与认知 · 定量生物学 2023-02-17 Marcelo J. Rozenberg

The apparent stochasticity of in-vivo neural circuits has long been hypothesized to represent a signature of ongoing stochastic inference in the brain. More recently, a theoretical framework for neural sampling has been proposed, which…

神经元与认知 · 定量生物学 2017-03-14 Mihai A. Petrovici , Ilja Bytschok , Johannes Bill , Johannes Schemmel , Karlheinz Meier

Large networks of sparsely coupled, excitatory and inhibitory cells occur throughout the brain. A striking feature of these networks is that they are chaotic. How does this chaos manifest in the neural code? Specifically, how variable are…

神经元与认知 · 定量生物学 2014-02-25 Guillaume Lajoie , Jean-Philippe Thivierge , Eric Shea-Brown

Dynamical balance of excitation and inhibition is usually invoked to explain the irregular low firing activity observed in the cortex. We propose a robust nonlinear balancing mechanism for a random network of spiking neurons, which works…

无序系统与神经网络 · 物理学 2025-05-29 Antonio Politi , Alessandro Torcini

We show that in model neuronal cultures, where the probability of interneuronal connection formation decreases exponentially with increasing distance between the neurons, there exists a small number of spatial nucleation centers of a…

神经元与认知 · 定量生物学 2018-11-09 A. V. Paraskevov , D. K. Zendrikov

The modular and hierarchical organization of the brain is believed to support the coexistence of segregated (specialization) and integrated (binding) information processes. A relevant question is yet to understand how such architecture…

神经元与认知 · 定量生物学 2025-06-19 Raphaël Bergoin , Alessandro Torcini , Gustavo Deco , Mathias Quoy , Gorka Zamora-López

Stochastic processes with long memories, known as long memory processes, are ubiquitous in various science and engineering problems. Superposing Markovian stochastic processes generates a non-Markovian long memory process serving as…

概率论 · 数学 2025-11-24 Hidekazu Yoshioka