Reservoir Computing Dynamics for Single Nonlinear Node with Delay Line Structure

Abstract

For a reservoir computer composed of a single nonlinear node and delay line, we show that after a finite period of discrete time, the distance between two reservoir outputs is bounded above by a constant multiple of the distance between their respective inputs. We also translate familiar separation properties from the context of Echo State Networks to that of the single nonlinear node structure.

12 pages, 1 figure