A minimal model for reservoir computing is studied. We demonstrate that a reservoir computer exists that emulates given coupled maps by constructing a modularized network. We describe a possible mechanism for collapses of the emulation in the reservoir computing by introducing a measure of finite scale deviation. Such transitory behaviour is caused by either (i) an escape from a finite-time stagnation near an unstable chaotic set, or (ii) a critical transition driven by the effective parameter drift. Our approach reveals the essential mechanism for reservoir computing and provides insights into the design of reservoir computer for practical applications.
@article{arxiv.2312.01089,
title = {Minimal Model for Reservoir Computing},
author = {Yuzuru Sato and Miki Kobayashi},
journal= {arXiv preprint arXiv:2312.01089},
year = {2024}
}