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

1 code implementation • 28 Aug 2021 • Felix Köster, Serhiy Yanchuk, Kathy Lüdge

We show that many delay-based reservoir computers considered in the literature can be characterized by a universal master memory function (MMF).

Feedback induced locking in semiconductor lasers with strong amplitude-phase coupling

no code implementations • 5 Jan 2021 • Jan Hausen, Bastian Herzog, Alexander Nelde, Stefan Meinecke, Nina Owschimikow, Kathy Lüdge

The influence of optical feedback on semiconductor lasers has been a widely studied field of research due to fundamental interests as well as the optimization of optical data transmission and computing.

Optics Chaotic Dynamics

Anticipation-induced social tipping -- Can the environment be stabilised by social dynamics?

no code implementations • 3 Dec 2020 • Paul Manuel Müller, Jobst Heitzig, Jürgen Kurths, Kathy Lüdge, Marc Wiedermann

Acknowledging that societies have the additional capability for foresight, this work proposes a conceptual feedback model of socio-ecological co-evolution with the specific construct of anticipation acting as a mediator between the social and natural system.

Physics and Society

Insight into Delay Based Reservoir Computing via Eigenvalue Analysis

no code implementations • 16 Sep 2020 • Felix Köster, Serhiy Yanchuk, Kathy Lüdge

In this paper we give a profound insight into the computation capability of delay-based reservoir computing via an eigenvalue analysis.

Limitations of the recall capabilities in delay based reservoir computing systems

no code implementations • 16 Sep 2020 • Felix Köster, Dominik Ehlert, Kathy Lüdge

We analyze the memory capacity of a delay based reservoir computer with a Hopf normal form as nonlinearity and numerically compute the linear as well as the higher order recall capabilities.

Deep Time-Delay Reservoir Computing: Dynamics and Memory Capacity

no code implementations • 11 Jun 2020 • Mirko Goldmann, Felix Köster, Kathy Lüdge, Serhiy Yanchuk

We present how the dynamical properties of a deep Ikeda-based reservoir are related to its memory capacity (MC) and how that can be used for optimization.

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

no code implementations • 7 May 2019 • Florian Stelzer, André Röhm, Kathy Lüdge, Serhiy Yanchuk

Here we show that the case of equal or resonant time-delay and clock cycle could be actively detrimental and leads to an increase of the approximation error of the reservoir.

Reservoir computing with simple oscillators: Virtual and real networks

no code implementations • 23 Feb 2018 • André Röhm, Kathy Lüdge

The reservoir computing scheme is a machine learning mechanism which utilizes the naturally occuring computational capabilities of dynamical systems.