Minimal Model for Reservoir Computing

Abstract

A minimal model for reservoir computing is studied. We demonstrate that a reservoir computing exists that emulates given coupled maps by constructing a modularised network. We describe a possible mechanism for collapses of the emulation in the reservoir computing. Such transitory behaviour is caused by either (i) 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 computing for practical applications.