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Delay-based reservoir computing has gained a lot of attention due to the relative simplicity with which this concept can be implemented in hardware. However,there is still an misconception about the relationship between the delay-time and…

Computational Physics · Physics 2021-12-23 Tobias Hülser , Felix Köster , Lina Jaurigue , Kathy Lüdge

This paper addresses the reservoir design problem in the context of delay-based reservoir computers for multidimensional input signals, parallel architectures, and real-time multitasking. First, an approximating reservoir model is presented…

Neural and Evolutionary Computing · Computer Science 2015-10-15 Lyudmila Grigoryeva , Julie Henriques , Laurent Larger , Juan-Pablo Ortega

Time delays increase the effective dimensionality of reservoirs, thus suggesting that time delays in reservoirs can enhance their performance, particularly their memory and prediction abilities. We find new closed-form expressions for…

Computational Physics · Physics 2026-01-09 Peyton Mullarkey , Sarah Marzen

Reservoir computing (RC), a particular form of recurrent neural network, is under explosive development due to its exceptional efficacy and high performance in reconstruction or/and prediction of complex physical systems. However, the…

Machine Learning · Computer Science 2023-05-10 Xing-Yue Duan , Xiong Ying , Si-Yang Leng , Jürgen Kurths , Wei Lin , Huan-Fei Ma

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…

Emerging Technologies · Computer Science 2020-10-30 Felix Köster , Dominik Ehlert , Kathy Lüdge

Reservoir Computing (RC) is a bio-inspired machine learning framework, and various models have been proposed. RC is a well-suited model for time series data processing, but there is a trade-off between memory capacity and nonlinearity. In…

Machine Learning · Computer Science 2025-02-26 Atsuki Yokota , Ichiro Kawashima , Yohei Saito , Hakaru Tamukoh , Osamu Nomura , Takashi Morie

Neural networks are currently transforming the field of computer algorithms, yet their emulation on current computing substrates is highly inefficient. Reservoir computing was successfully implemented on a large variety of substrates and…

Emerging Technologies · Computer Science 2019-08-07 Bogdan Penkovsky , Xavier Porte , Maxime Jacquot , Laurent Larger , Daniel Brunner

Reservoir computing is a recently introduced brain-inspired machine learning paradigm capable of excellent performances in the processing of empirical data. We focus in a particular kind of time-delay based reservoir computers that have…

Dynamical Systems · Mathematics 2014-11-11 Lyudmila Grigoryeva , Julie Henriques , Laurent Larger , Juan-Pablo Ortega

A reservoir computer is a type of dynamical system arranged to do computation. Typically, a reservoir computer is constructed by connecting a large number of nonlinear nodes in a network that includes recurrent connections. In order to…

Neural and Evolutionary Computing · Computer Science 2024-06-19 Thomas L. Carroll , Joseph D. Hart

Inspired by the observation of a distributed time delay in the nonlinear response of an optical resonator, we investigate the effects of a similar delay on a noise-driven mechanical oscillator. For a delay time that is commensurate with the…

Optics · Physics 2022-02-16 K. J. H. Peters , S. R. K. Rodriguez

The Deep Time-Delay Reservoir Computing concept utilizes unidirectionally connected systems with time-delays for supervised learning. We present how the dynamical properties of a deep Ikeda-based reservoir are related to its memory capacity…

Adaptation and Self-Organizing Systems · Physics 2020-08-26 Mirko Goldmann , Felix Köster , Kathy Lüdge , Serhiy Yanchuk

This paper presents a stochastic logic time delay reservoir design. The reservoir is analyzed using a number of metrics, such as kernel quality, generalization rank, performance on simple benchmarks, and is also compared to a deterministic…

Machine Learning · Statistics 2017-02-15 Cory Merkel

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…

Machine Learning · Computer Science 2021-05-05 Felix Köster , Serhiy Yanchuk , Kathy Lüdge

Recently we demonstrated experimentally that microwave oscillators based on the time delay feedback provided by traveling spin waves could operate as reservoir computers. In the present paper, we extend this concept by adding the feature of…

Applied Physics · Physics 2021-06-30 Stuart Watt , Mikhail Kostylev , Alexey B. Ustinov , Boris A. Kalinikos

We investigate the effects of application of random time-shifts to the readouts of a reservoir computer in terms of both accuracy (training error) and performance (testing error.) For different choices of the reservoir parameters and…

Systems and Control · Electrical Eng. & Systems 2024-06-19 Enrico Del Frate , Afroza Shirin , Francesco Sorrentino

Reservoir computing (RC) offers efficient temporal data processing with a low training cost by separating recurrent neural networks into a fixed network with recurrent connections and a trainable linear network. The quality of the fixed…

Emerging Technologies · Computer Science 2021-05-17 John Moon , Wei D. Lu

Reservoir computing (RC) is a novel approach to time series prediction using recurrent neural networks. In RC, an input signal perturbs the intrinsic dynamics of a medium called a reservoir. A readout layer is then trained to reconstruct a…

Neural and Evolutionary Computing · Computer Science 2014-01-13 Alireza Goudarzi , Peter Banda , Matthew R. Lakin , Christof Teuscher , Darko Stefanovic

Silicon microring resonators (MRRs) have shown strong potential in acting as the nonlinear nodes of photonic reservoir computing (RC) schemes. By using nonlinearities within a silicon MRR, such as the ones caused by free-carrier dispersion…

Neural and Evolutionary Computing · Computer Science 2024-06-05 Bernard J. Giron Castro , Christophe Peucheret , Francesco Da Ros

This paper presents and demonstrates a stochastic logic time delay reservoir design in FPGA hardware. The reservoir network approach is analyzed using a number of metrics, such as kernel quality, generalization rank, performance on simple…

Neural and Evolutionary Computing · Computer Science 2018-09-17 Lisa Loomis , Nathan McDonald , Cory Merkel

The prediction of time series is a challenging task relevant in such diverse applications as analyzing financial data, forecasting flow dynamics or understanding biological processes. Especially chaotic time series that depend on a long…

Machine Learning · Computer Science 2024-12-06 Johannes Viehweg , Dominik Walther , Patrick Mäder
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