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Main Title: Insight into delay based reservoir computing via eigenvalue analysis
Author(s): Köster, Felix
Yanchuk, Serhiy
Lüdge, Kathy
Type: Article
Abstract: In this paper we give a profound insight into the computation capability of delay based reservoir computing via an eigenvalue analysis. We concentrate on the task-independent memory capacity to quantify the reservoir performance and compare these with the eigenvalue spectrum of the dynamical system. We show that these two quantities are deeply connected, and thus the reservoir computing performance is predictable by analysing the small signal response of the reservoir. Our results suggest that any dynamical system used as a reservoir can be analysed in this way. We apply our method exemplarily to a photonic laser system with feedback and compare the numerically computed recall capabilities with the eigenvalue spectrum. Optimal performance is found for a system with the eigenvalues having real parts close to zero and off-resonant imaginary parts.
Subject(s): reservoir computing
laser physics
nonlinear dynamics
Issue Date: 13-Apr-2021
Date Available: 8-Feb-2022
Language Code: en
DDC Class: 530 Physik
Sponsor/Funder: DFG, 411803875, Dynamik gekoppelter Systeme mit Zeitverzögerungen und deren Anwendungen
DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
Journal Title: Journal of Physics: Photonics
Publisher: IOP
Volume: 3
Issue: 2
Article Number: 024011
Publisher DOI: 10.1088/2515-7647/abf237
EISSN: 2515-7647
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Theoretische Physik » AG Nichtlineare Laserdynamik
Appears in Collections:Technische Universität Berlin » Publications

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