Rigorous Justification of the Fokker--Planck Equations of Neural Networks Based on an Iteration Perspective
DOI10.1137/20M1338368zbMath1496.35389arXiv2005.08285OpenAlexW3024854248MaRDI QIDQ5037715
Ziheng Wang, Yuan Zhang, Jian-Guo Liu, Zhennan Zhou
Publication date: 4 March 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.08285
Fokker-Planck equationintegrate-and-fire modeldiffusion-jump stochastic processmathematical model of neural networks
Neural networks for/in biological studies, artificial life and related topics (92B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications of stochastic analysis (to PDEs, etc.) (60H30) Fokker-Planck equations (35Q84) Classical solutions to PDEs (35A09) Jump processes on general state spaces (60J76)
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