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A single neuron is known to generate almost identical spike trains when the same fluctuating input is repeatedly applied. Here, we study the reliability of spike firing in a pulse-coupled network of oscillator neurons receiving fluctuating…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Jun-nosuke Teramae , Tomoki Fukai

An increasing body of evidence suggests that the trial-to-trial variability of spiking activity in the brain is not mere noise, but rather the reflection of a sampling-based encoding scheme for probabilistic computing. Since the precise…

The present paper provides exact mathematical expressions for the high-order moments of spiking activity in a recurrently-connected network of linear Hawkes processes. It extends previous studies that have explored the case of a (linear)…

Neurons and Cognition · Quantitative Biology 2019-12-17 Matthieu Gilson , Jean-Pascal Pfister

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…

Disordered Systems and Neural Networks · Physics 2025-05-29 Antonio Politi , Alessandro Torcini

Finite-sized populations of spiking elements are fundamental to brain function, but also used in many areas of physics. Here we present a theory of the dynamics of finite-sized populations of spiking units, based on a quasi-renewal…

Neurons and Cognition · Quantitative Biology 2015-03-04 Moritz Deger , Tilo Schwalger , Richard Naud , Wulfram Gerstner

Brain-inspired spiking neural networks (SNNs) have recently drawn more and more attention due to their event-driven and energy-efficient characteristics. The integration of storage and computation paradigm on neuromorphic hardwares makes…

Neural and Evolutionary Computing · Computer Science 2022-10-14 Yufei Guo , Liwen Zhang , Yuanpei Chen , Xinyi Tong , Xiaode Liu , YingLei Wang , Xuhui Huang , Zhe Ma

Self-organizing memristive networks are physical circuits that dynamically reconfigure their circuitry in response to external input signals. Their adaptive behavior arises from intrinsic neuro-synaptic dynamics combined with a…

Disordered Systems and Neural Networks · Physics 2026-04-28 Yinhao Xu , Georg A. Gottwald , Zdenka Kuncic

Understanding cognitive flexibility and task-switching mechanisms in neural systems requires biologically plausible computational models. This tutorial presents a step-by-step approach to constructing a spiking neural network (SNN) that…

Neurons and Cognition · Quantitative Biology 2025-03-07 Ashwin Viswanathan Kannan , Madhumitha Ganesan

A steadily increasing body of evidence suggests that the brain performs probabilistic inference to interpret and respond to sensory input and that trial-to-trial variability in neural activity plays an important role. The neural sampling…

Neurons and Cognition · Quantitative Biology 2017-07-07 Ilja Bytschok , Dominik Dold , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici

Predictive coding can be regarded as a function which reduces the error between an input signal and a top-down prediction. If reducing the error is equivalent to reducing the influence of stimuli from the environment, predictive coding can…

Neural and Evolutionary Computing · Computer Science 2019-11-22 Atsushi Masumori , Lana Sinapayen , Takashi Ikegami

Spike-based encoders represent information as sequences of spikes or pulses, which are transmitted between neurons. A prevailing consensus suggests that spike-based approaches demonstrate exceptional capabilities in capturing the temporal…

Signal Processing · Electrical Eng. & Systems 2025-06-03 MHD Anas Alsakkal , Runze Wang , Jayawan Wijekoon , Huajin Tang

Inspired by the operation of biological brains, Spiking Neural Networks (SNNs) have the unique ability to detect information encoded in spatio-temporal patterns of spiking signals. Examples of data types requiring spatio-temporal processing…

Neural and Evolutionary Computing · Computer Science 2021-04-27 Nicolas Skatchkovsky , Hyeryung Jang , Osvaldo Simeone

Spiking neural networks (SNNs) are the third generation of neural networks and can explore both rate and temporal coding for energy-efficient event-driven computation. However, the decision accuracy of existing SNN designs is contingent…

Neural and Evolutionary Computing · Computer Science 2020-02-25 Changqing Xu , Wenrui Zhang , Yu Liu , Peng Li

Spiking neural networks drawing inspiration from biological constraints of the brain promise an energy-efficient paradigm for artificial intelligence. However, challenges exist in identifying guiding principles to train these networks in a…

Neural and Evolutionary Computing · Computer Science 2024-04-25 Joseph A. Kilgore , Jeffrey D. Kopsick , Giorgio A. Ascoli , Gina C. Adam

There has been significant research over the past two decades in developing new platforms for spiking neural computation. Current neural computers are primarily developed to mimick biology. They use neural networks which can be trained to…

Neural and Evolutionary Computing · Computer Science 2015-07-23 Xavier Lagorce , Ryad Benosman

There has been a strong push recently to examine biological scale simulations of neuromorphic algorithms to achieve stronger inference capabilities. This paper presents a set of piecewise linear spiking neuron models, which can reproduce…

Machine Learning · Computer Science 2012-12-18 Hamid Soleimani , Arash Ahmadi , Mohammad Bavandpour

We present a simple Markov model of spiking neural dynamics that can be analytically solved to characterize the stochastic dynamics of a finite-size spiking neural network. We give closed-form estimates for the equilibrium distribution,…

Neurons and Cognition · Quantitative Biology 2007-05-23 H. Soula , C. C. Chow

The critical state is assumed to be optimal for any computation in recurrent neural networks, because criticality maximizes a number of abstract computational properties. We challenge this assumption by evaluating the performance of a…

Emerging Technologies · Computer Science 2020-11-05 Benjamin Cramer , David Stöckel , Markus Kreft , Michael Wibral , Johannes Schemmel , Karlheinz Meier , Viola Priesemann

Spiking neuronal networks are usually simulated with three main simulation schemes: the classical time-driven and event-driven schemes, and the more recent hybrid scheme. All three schemes evolve the state of a neuron through a series of…

Neurons and Cognition · Quantitative Biology 2018-01-24 Jeyashree Krishnan , PierGianLuca Porta Mana , Moritz Helias , Markus Diesmann , Edoardo Di Napoli

Spiking neural networks are biologically plausible counterparts of the artificial neural networks, artificial neural networks are usually trained with stochastic gradient descent and spiking neural networks are trained with spike timing…

Neural and Evolutionary Computing · Computer Science 2019-09-26 Ruthvik Vaila , John Chiasson , Vishal Saxena