Echo state networks are universal

Item Type Journal paper
Abstract This paper shows that echo state networks are universal uniform approximants in the context of discrete- time fading memory filters with uniformly bounded inputs defined on negative infinite times. This result guarantees that any fading memory input/output system in discrete time can be realized as a simple finite- dimensional neural network-type state-space model with a static linear readout map. This approximation is valid for infinite time intervals. The proof of this statement is based on fundamental results, also presented in this work, about the topological nature of the fading memory property and about reservoir computing systems generated by continuous reservoir maps.
Authors Grigoryeva, Lyudmila & Ortega, Juan-Pablo
Journal or Publication Title Neural Networks
Language English
Subjects computer science
HSG Classification contribution to scientific community
HSG Profile Area SEPS - Quantitative Economic Methods
Refereed Yes
Date 2018
Volume 108
Page Range 495-508
Depositing User Prof. Ph.D Juan-Pablo Ortega Lahuerta
Date Deposited 10 Nov 2019 09:53
Last Modified 20 Jul 2022 17:40


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Grigoryeva, Lyudmila & Ortega, Juan-Pablo (2018) Echo state networks are universal. Neural Networks, 108 495-508.

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