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We analyze the dynamics of networks of spiking neural oscillators. First, we present an exact linear stability theory of the synchronous state for networks of arbitrary connectivity. For general neuron rise functions, stability is…

Neurons and Cognition · Quantitative Biology 2009-11-11 Marc Timme , Theo Geisel , Fred Wolf

Spike correlations between neurons are ubiquitous in the cortex, but their role is at present not understood. Here we describe the firing response of a leaky integrate-and-fire neuron (LIF) when it receives a temporarily correlated input…

Neurons and Cognition · Quantitative Biology 2007-10-15 Ruben Moreno-Bote , Alfonso Renart , Nestor Parga

In this paper, we consider networks of deterministic spiking neurons, firing synchronously at discrete times; such spiking neural networks are inspired by networks of neurons and synapses that occur in brains. We consider the problem of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-17 Nancy Lynch , Mien Brabeeba Wang

Populations of spiking neuron models have densities of their microscopic variables (e.g., single-cell membrane potentials) whose evolution fully capture the collective dynamics of biological networks, even outside equilibrium. Despite its…

Neurons and Cognition · Quantitative Biology 2021-11-08 Gianni V. Vinci , Maurizio Mattia

We study the storage and retrieval of phase-coded patterns as stable dynamical attractors in recurrent neural networks, for both an analog and a integrate-and-fire spiking model. The synaptic strength is determined by a learning rule based…

Neurons and Cognition · Quantitative Biology 2010-09-08 S. Scarpetta , A. de Candia , F. Giacco

The spiking neural networks (SNNs) are considered as one of the most promising artificial neural networks due to their energy efficient computing capability. Recently, conversion of a trained deep neural network to an SNN has improved the…

Neural and Evolutionary Computing · Computer Science 2019-02-12 Seongsik Park , Seijoon Kim , Hyeokjun Choe , Sungroh Yoon

In neural systems, synaptic plasticity is usually driven by spike trains. Due to the inherent noises of neurons, synapses and networks, spike trains typically exhibit externally uncontrollable variability such as spatial heterogeneity and…

Neurons and Cognition · Quantitative Biology 2015-06-18 Zedong Bi , Changsong Zhou , Hai-Jun Zhou

The relationship between a neuron's complex inputs and its spiking output defines the neuron's coding strategy. This is frequently and effectively modeled phenomenologically by one or more linear filters that extract the components of the…

Neurons and Cognition · Quantitative Biology 2011-11-02 Michael Famulare , Adrienne L. Fairhall

Spiking networks that perform probabilistic inference have been proposed both as models of cortical computation and as candidates for solving problems in machine learning. However, the evidence for spike-based computation being in any way…

Neural and Evolutionary Computing · Computer Science 2017-10-12 Luziwei Leng , Roman Martel , Oliver Breitwieser , Ilja Bytschok , Walter Senn , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici

Neural networks are able to extract information from the timing of spikes. Here we provide new results on the behavior of the simplest neuronal model which is able to decode information embedded in temporal spike patterns, the so called…

Disordered Systems and Neural Networks · Physics 2015-06-17 Carlo Baldassi , Alfredo Braunstein , Riccardo Zecchina

A key question in neuroscience is at which level functional meaning emerges from biophysical phenomena. In most vertebrate systems, precise functions are assigned at the level of neural populations, while single-neurons are deemed…

Neurons and Cognition · Quantitative Biology 2017-03-17 Wieland Brendel , Ralph Bourdoukan , Pietro Vertechi , Christian K. Machens , Sophie Denéve

A long-standing proposition is that by emulating the operation of the brain's neocortex, a spiking neural network (SNN) can achieve similar desirable features: flexible learning, speed, and efficiency. Temporal neural networks (TNNs) are…

Neural and Evolutionary Computing · Computer Science 2021-02-24 James E. Smith

A fundamental problem in neuroscience is to understand how sequences of action potentials ("spikes") encode information about sensory signals and motor outputs. Although traditional theories of neural coding assume that information is…

Neurons and Cognition · Quantitative Biology 2022-10-12 Kyle H. Srivastava , Caroline M. Holmes , Michiel Vellema , Andrea Pack , Coen P. H. Elemans , Ilya Nemenman , Samuel J. Sober

We propose a novel local learning rule for spiking neural networks in which spike propagation times undergo activity-dependent plasticity. Our plasticity rule aligns pre-synaptic spike times to produce a stronger and more rapid response.…

Neural and Evolutionary Computing · Computer Science 2022-11-16 Jørgen Jensen Farner , Ola Huse Ramstad , Stefano Nichele , Kristine Heiney

Spiking neural networks (SNNs) communicate via discrete spikes in time rather than continuous activations. Their event-driven nature offers advantages for temporal processing and energy efficiency on resource-constrained hardware, but…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Karol C. Jurzec , Tomasz Szydlo , Maciej Wielgosz

Neural spike trains, which are sequences of very brief jumps in voltage across the cell membrane, were one of the motivating applications for the development of point process methodology. Early work required the assumption of stationarity,…

Applications · Statistics 2011-08-01 Robert E. Kass , Ryan C. Kelly , Wei-Liem Loh

Sensory stimuli are usually composed of different features (the what) appearing at irregular times (the when). Neural responses often use spike patterns to represent sensory information. The what is hypothesized to be encoded in the…

Neurons and Cognition · Quantitative Biology 2010-12-13 Hugo Gabriel Eyherabide , Inés Samengo

Biological information processing is often carried out by complex networks of interconnected dynamical units. A basic question about such networks is that of reliability: if the same signal is presented many times with the network in…

Chaotic Dynamics · Physics 2015-06-11 Guillaume Lajoie , Kevin K. Lin , Eric Shea-Brown

Synfire chains are thought to underlie precisely-timed sequences of spikes observed in various brain regions and across species. How they are formed is not understood. Here we analyze self-organization of synfire chains through the…

Neurons and Cognition · Quantitative Biology 2015-06-16 Aaron Miller , Dezhe Z. Jin

Spiking neural networks (SNN) are able to learn spatiotemporal features while using less energy, especially on neuromorphic hardware. The most widely used spiking neuron in deep learning is the Leaky Integrate and Fire (LIF) neuron. LIF…

Neural and Evolutionary Computing · Computer Science 2023-08-08 Sidi Yaya Arnaud Yarga , Sean U. N. Wood
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