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Numerical calculations have been made on the spike-train response of a pair of Hodgkin-Huxley (HH) neurons coupled by synapses and axons with time delay. The recurrent excitatory-excitatory, inhibitory-inhibitory, excitatory-inhibitory, and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hideo Hasegawa

We construct a model that predicts the statistical properties of spike trains generated by a sensory neuron. The model describes the combined effects of the neuron's intrinsic properties, the noise in the surrounding, and the external…

Biological Physics · Physics 2009-10-31 N. Brenner , O. Agam , W. Bialek , R. de Ruyter van Steveninck

For energy-efficient computation in specialized neuromorphic hardware, we present spiking neural coding, an instantiation of a family of artificial neural models grounded in the theory of predictive coding. This model, the first of its…

Neural and Evolutionary Computing · Computer Science 2022-08-09 Alexander Ororbia

Approaches to predicting neuronal spike responses commonly use a Poisson learning objective. This objective quantizes responses into spike counts within a fixed summation interval, typically on the order of 10 to 100 milliseconds in…

Neurons and Cognition · Quantitative Biology 2024-07-03 Kevin Doran , Marvin Seifert , Carola A. M. Yovanovich , Tom Baden

Spiking neural networks (SNNs) promise low-power event-driven computation for temporally rich tasks, but commonly used neuron models often trade off gradient-based trainability, dynamical richness, and high activity sparsity. These…

Neural and Evolutionary Computing · Computer Science 2026-05-13 Alex Fulleda-Garcia , Saray Soldado-Magraner , Josep Maria Margarit-Taulé

Model calculations have been performed on the spike-train response of a pair of Hodgkin-Huxley (HH) neurons coupled by recurrent excitatory-excitatory couplings with time delay. The coupled, excitable HH neurons are assumed to receive the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Hideo Hasegawa

Numerical investigations have been made of responses of a Hodgkin-Huxley (HH) neuron to spike-train inputs whose interspike interval (ISI) is modulated by deterministic, semi-deterministic (chaotic) and stochastic signals. As deterministic…

Disordered Systems and Neural Networks · Physics 2009-10-31 Hideo Hasegawa

In this article, our wish is to demystify some aspects of coding with spike-timing, through a simple review of well-understood technical facts regarding spike coding. The goal is to help better understanding to which extend computing and…

Neurons and Cognition · Quantitative Biology 2010-03-02 Bruno Cessac , Hélène Paugam-Moisy , Thierry Viéville

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…

Neurons and Cognition · Quantitative Biology 2013-05-20 James Trousdale , Yu Hu , Eric Shea-Brown , Krešimir Josić

Spatiotemporal patterns such as traveling waves are frequently observed in recordings of neural activity. The mechanisms underlying the generation of such patterns are largely unknown. Previous studies have investigated the existence and…

Neurons and Cognition · Quantitative Biology 2022-09-16 Johanna Senk , Karolína Korvasová , Jannis Schuecker , Espen Hagen , Tom Tetzlaff , Markus Diesmann , Moritz Helias

Fitting network models to neural activity is an important tool in neuroscience. A popular approach is to model a brain area with a probabilistic recurrent spiking network whose parameters maximize the likelihood of the recorded activity.…

Machine Learning · Statistics 2021-11-16 Guillaume Bellec , Shuqi Wang , Alireza Modirshanechi , Johanni Brea , Wulfram Gerstner

Spike-sorting techniques attempt to classify a series of noisy electrical waveforms according to the identity of the neurons that generated them. Existing techniques perform this classification ignoring several properties of actual neurons…

Quantitative Methods · Quantitative Biology 2007-05-23 Christophe Pouzat

Reduced models of neuronal activity such as Integrate-and-Fire models allow a description of neuronal dynamics in simple, intuitive terms and are easy to simulate numerically. We present a method to fit an Integrate-and-Fire-type model of…

Neurons and Cognition · Quantitative Biology 2020-04-03 Renaud Jolivet , Wulfram Gerstner

Spiking Neural Networks (SNNs) are widely regarded as a biologically-inspired and energy-efficient alternative to classical artificial neural networks. Yet, their theoretical foundations remain only partially understood. In this work, we…

Optimization and Control · Mathematics 2025-09-29 Umberto Biccari

Statistical similarities between neuronal spike trains could reveal significant information on complex underlying processing. In general, the similarity between synchronous spike trains is somewhat easy to identify. However, the similar…

Neurons and Cognition · Quantitative Biology 2021-03-16 Sathish Ande , Jayanth R Regatti , Neha Pandey , Ajith Karunarathne , Lopamudra Giri , Soumya Jana

In this paper we consider the problem of detecting statistically significant sequential patterns in multi-neuronal spike trains. These patterns are characterized by ordered sequences of spikes from different neurons with specific delays…

Neurons and Cognition · Quantitative Biology 2008-08-28 P. S. Sastry , K. P. Unnikrishnan

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

Neural noise sets a limit to information transmission in sensory systems. In several areas, the spiking response (to a repeated stimulus) has shown a higher degree of regularity than predicted by a Poisson process. However, a simple model…

Neurons and Cognition · Quantitative Biology 2018-01-08 Ulisse Ferrari , Stephane Deny , Olivier Marre , Thierry Mora

Recurrent neural networks are powerful tools for understanding and modeling computation and representation by populations of neurons. Continuous-variable or "rate" model networks have been analyzed and applied extensively for these…

Neurons and Cognition · Quantitative Biology 2016-01-29 Brian DePasquale , Mark M. Churchland , L. F. Abbott

Advances in neuroscience have enabled researchers to measure the activities of large numbers of neurons simultaneously in behaving animals. We have access to the fluorescence of each of the neurons which provides a first-order approximation…

Neurons and Cognition · Quantitative Biology 2023-07-21 Abhisek Chakraborty