Master memory function for delay-based reservoir computers with single-variable dynamics

08/28/2021
by   Felix Köster, et al.
0

We show that many delay-based reservoir computers considered in the literature can be characterized by a universal master memory function (MMF). Once computed for two independent parameters, this function provides linear memory capacity for any delay-based single-variable reservoir with small inputs. Moreover, we propose an analytical description of the MMF that enables its efficient and fast computation. Our approach can be applied not only to reservoirs governed by known dynamical rules such as Mackey-Glass or Ikeda-like systems but also to reservoirs whose dynamical model is not available. We also present results comparing the performance of the reservoir computer and the memory capacity given by the MMF.

READ FULL TEXT

page 6

page 12

research
05/03/2022

Time Shifts to Reduce the Size of Reservoir Computers

A reservoir computer is a type of dynamical system arranged to do comput...
research
10/13/2015

Nonlinear memory capacity of parallel time-delay reservoir computers in the processing of multidimensional signals

This paper addresses the reservoir design problem in the context of dela...
research
09/01/2014

Towards a Calculus of Echo State Networks

Reservoir computing is a recent trend in neural networks which uses the ...
research
09/16/2020

Improving Delay Based Reservoir Computing via Eigenvalue Analysis

We analyze the reservoir computation capability of the Lang-Kobayashi sy...
research
06/11/2020

Deep Time-Delay Reservoir Computing: Dynamics and Memory Capacity

The Deep Time-Delay Reservoir Computing concept utilizes unidirectionall...
research
08/02/2023

Excitatory/Inhibitory Balance Emerges as a Key Factor for RBN Performance, Overriding Attractor Dynamics

Reservoir computing provides a time and cost-efficient alternative to tr...
research
05/07/2019

Performance boost of time-delay reservoir computing by non-resonant clock cycle

The time-delay-based reservoir computing setup has seen tremendous succe...

Please sign up or login with your details

Forgot password? Click here to reset