On a voltage-conductance kinetic system for integrate \& fire neural networks

DOI10.3934/krm.2013.6.841zbMath1284.35103arXiv1310.2742OpenAlexW2962765420WikidataQ60502762 ScholiaQ60502762MaRDI QIDQ2438128

Delphine Salort, Perthame, Benoît

Publication date: 10 March 2014

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.2742

zbMATH Keywords

neural networkssmoothnessFokker-Planck kinetic equationintegrate-and-fire networksvoltage-conductance Vlasov equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Neural networks for/in biological studies, artificial life and related topics (92B20) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Neural nets and related approaches to inference from stochastic processes (62M45) Fokker-Planck equations (35Q84)

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