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).

Effect of diluted connectivities on cluster synchronization of adaptively coupled oscillator networks

no code implementations • 14 Jan 2021 • Simon Vock, Rico Berner, Serhiy Yanchuk, Eckehard Schöll

Using numerical and analytical approaches, we investigate the robustness of multicluster states on networks of adaptively coupled Kuramoto-Sakaguchi oscillators against the random dilution of the underlying network topology.

Adaptation and Self-Organizing Systems Pattern Formation and Solitons

Infinite-dimensional Folded-in-time Deep Neural Networks

no code implementations • 8 Jan 2021 • Florian Stelzer, Serhiy Yanchuk

The method recently introduced in arXiv:2011. 10115 realizes a deep neural network with just a single nonlinear element and delayed feedback.

Deep Neural Networks using a Single Neuron: Folded-in-Time Architecture using Feedback-Modulated Delay Loops

1 code implementation • 19 Nov 2020 • Florian Stelzer, André Röhm, Raul Vicente, Ingo Fischer, Serhiy Yanchuk

We present a method for folding a deep neural network of arbitrary size into a single neuron with multiple time-delayed feedback loops.

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.

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.