Limitations of the recall capabilities in delay based reservoir computing systems

2020-09-16 · 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. A possible physical realisation could be a laser with external cavity, for which the information is fed via electrical injection. A task independent quantification of the computational capability of the reservoir system is done via a complete orthonormal set of basis functions. Our results suggest that even for constant readout dimension the total memory capacity is dependent on the ratio between the information input period, also called the clock cycle, and the time delay in the system. Optimal performance is found for a time delay about 1.6 times the clock cycle

📄 PDF Abstract BibTeX arXiv:2010.15562

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Insight into Delay Based Reservoir Computing via Eigenvalue Analysis

2020-09-16 · 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. We concentrate on the task-independent memory capacity to quantify the reservoir per…

Reservoir computing with simple oscillators: Virtual and real networks

2018-02-23 · André Röhm, Kathy Lüdge

The reservoir computing scheme is a machine learning mechanism which utilizes the naturally occuring computational capabilities of dynamical systems. One important subset of systems that has proven powerful both in exper…

Attention-Enhanced Reservoir Computing

2023-12-27 · Felix Köster, Kazutaka Kanno, Jun Ohkubo, Atsushi Uchida

Photonic reservoir computing has been successfully utilized in time-series prediction as the need for hardware implementations has increased. Prediction of chaotic time series remains a significant challenge, an area whe…

Prediction Temporal Sequences Time Series Time Series Forecasting+1

A mathematical framework for time-delay reservoir computing analysis

2026-03-19 · Anh-Tuan Clabaut, Jean Auriol, Islam Boussaada, Guilherme Mazanti arxiv

Reservoir computing is a well-established approach for processing data with a much lower complexity compared to traditional neural networks. Despite two decades of experimental progress, the core properties of reservoir …

Efficient Optimisation of Physical Reservoir Computers using only a Delayed Input

2024-01-25 · Enrico Picco, Lina Jaurigue, Kathy Lüdge, Serge Massar

We present an experimental validation of a recently proposed optimization technique for reservoir computing, using an optoelectronic setup. Reservoir computing is a robust framework for signal processing applications, an…