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Learning unidirectional coupling using echo-state network

Machine Learning 2023-06-21 v1

Abstract

Reservoir Computing has found many potential applications in the field of complex dynamics. In this article, we exploit the exceptional capability of the echo-state network (ESN) model to make it learn a unidirectional coupling scheme from only a few time series data of the system. We show that, once trained with a few example dynamics of a drive-response system, the machine is able to predict the response system's dynamics for any driver signal with the same coupling. Only a few time series data of an ABA-B type drive-response system in training is sufficient for the ESN to learn the coupling scheme. After training even if we replace drive system AA with a different system CC, the ESN can reproduce the dynamics of response system BB using the dynamics of new drive system CC only.

Keywords

Cite

@article{arxiv.2303.13562,
  title  = {Learning unidirectional coupling using echo-state network},
  author = {Swarnendu Mandal and Manish Dev Shrimali},
  journal= {arXiv preprint arXiv:2303.13562},
  year   = {2023}
}
R2 v1 2026-06-28T09:30:49.571Z