A Markovian event-based framework for stochastic spiking neural networks

zbMath1446.92087arXiv0911.3462MaRDI QIDQ5134762

Olivier Faugeras, Jonathan D. Touboul

Publication date: 17 November 2020

Full work available at URL: https://arxiv.org/abs/0911.3462

zbMATH Keywords

stochastic networkevent-based modelevent-based simulationlinear integrate-and-fire neurons

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (1)

Bifurcation and oscillation in a time-delay neural mass model

Cites Work

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• A discrete time neural network model with spiking neurons
• Sur le premier instant de passage de l'intégrale du mouvement brownien. (The first passage time for the integrated Brownian motion)
• Mathematical analysis of a neural network with inhibitory coupling
• Analysis of some networks with interaction
• A discrete-event neural network simulator for general neuron models
• Discrete simulation of large aggregates of neurons
• Weak approximation of killed diffusion using Euler schemes.
• Mathematical formulations of Hebbian learning
• A winding problem for a resonator driven by a white noise
• Fluid Limits for Processor-Sharing Queues with Impatience
• A characterization of the first hitting time of double integral processes to curved boundaries
• Introduction to Theoretical Neurobiology
• Stationarity properties of neural networks
• Use of an hourglass model in neuronal coding
• Spiking Neuron Models
• On the First Passage of the Integrated Wiener Process
• Exact Simulation of Integrate-and-Fire Models with Synaptic Conductances
• Exact Simulation of Integrate-and-Fire Models with Exponential Currents
• Event-Driven Simulations of Nonlinear Integrate-and-Fire Neurons
• Analytical Integrate-and-Fire Neuron Models with Conductance-Based Dynamics for Event-Driven Simulation Strategies
• [https://portal.mardi4nfdi.de/wiki/Publication:5691199 Sur la distribution de certaines fonctionnelles de l'int�grale du mouvement Brownien avec d�rives parabolique et cubique]

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