Hierarchy of the echo state property in quantum reservoir computing

arXiv:2403.02686v1 Announce Type: cross
Abstract: The echo state property (ESP) represents a fundamental concept in the reservoir computing (RC) framework that ensures output-only training of reservoir networks by being agnostic to the initial states and far past inputs. However, the traditional definition of ESP does not describe possible non-stationary systems in which statistical properties evolve. To address this issue, we introduce two new categories of ESP: \textit{non-stationary ESP}, designed for potentially non-stationary systems, and \textit{subspace/subset ESP}, designed for systems whose …

abstract arxiv computing concept definition echo esp framework inputs math.ds networks property quant-ph quantum state stat.ml systems training type