Internal dynamics of recurrent neural networks trained to generate complex spatiotemporal patterns

Author:

Maslennikov Oleg V.1ORCID,Gao Chao2ORCID,Nekorkin Vladimir I.1ORCID

Affiliation:

1. Federal Research Center A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences 1 , Nizhny Novgorod, Russia

2. School of Artificial Intelligence, Optics and Electronics, Northwestern Polytechnical University 2 , Xian, China

Abstract

How complex patterns generated by neural systems are represented in individual neuronal activity is an essential problem in computational neuroscience as well as machine learning communities. Here, based on recurrent neural networks in the form of feedback reservoir computers, we show microscopic features resulting in generating spatiotemporal patterns including multicluster and chimera states. We show the effect of individual neural trajectories as well as whole-network activity distributions on exhibiting particular regimes. In addition, we address the question how trained output weights contribute to the autonomous multidimensional dynamics.

Funder

Russian Science Foundation

National Natural Science Foundation of China

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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