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A delayed feedback reservoir (DFR) is a reservoir computing system well-suited for hardware implementations. However, achieving high accuracy in DFRs depends heavily on selecting appropriate hyperparameters. Conventionally, due to the…

Hardware Architecture · Computer Science 2025-04-18 Sosei Ikeda , Hiromitsu Awano , Takashi Sato

Reservoir computing (RC) is attracting attention as a machine-learning technique for edge computing. In time-series classification tasks, the number of features obtained using a reservoir depends on the length of the input series.…

Machine Learning · Computer Science 2025-04-17 Sosei Ikeda , Hiromitsu Awano , Takashi Sato

A delayed feedback reservoir (DFR) is a hardwarefriendly reservoir computing system. Implementing DFRs in embedded hardware requires efficient online training. However, two main challenges prevent this: hyperparameter selection, which is…

Hardware Architecture · Computer Science 2025-04-17 Sosei Ikeda , Hiromitsu Awano , Takashi Sato

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

Forecasting nonlinear time series with multi-scale temporal structures remains a central challenge in complex systems modeling. We present a novel reservoir computing framework that combines delay embedding with random Fourier feature (RFF)…

Neural and Evolutionary Computing · Computer Science 2025-11-20 S. K. Laha

The recent proposed orthogonal time frequency space (OTFS) modulation shows signifcant advantages than conventional orthogonal frequency division multiplexing (OFDM) for high mobility wireless communications. However, a challenging problem…

Information Theory · Computer Science 2022-07-25 Xiangxiang Li , Haiyan Wang , Yao Ge , Xiaohong Shen , Yuanyuan Lei

The Deep Fourier Residual (DFR) method is a specific type of variational physics-informed neural networks (VPINNs). It provides a robust neural network-based solution to partial differential equations (PDEs). The DFR strategy is based on…

Numerical Analysis · Mathematics 2024-01-11 Jamie M. Taylor , Manuela Bastidas , Victor M. Calo , David Pardo

We show that many delay-based reservoir computers considered in the literature can be characterized by a universal master memory function (MMF). Once computed for two independent parameters, this function provides linear memory capacity for…

Emerging Technologies · Computer Science 2021-08-31 Felix Köster , Serhiy Yanchuk , Kathy Lüdge

To perform temporal and sequential machine learning tasks, the use of conventional Recurrent Neural Networks (RNNs) has been dwindling due to the training complexities of RNNs. To this end, accelerators for delayed feedback reservoir…

Hardware Architecture · Computer Science 2021-01-05 Sairam Sri Vatsavai , Ishan Thakkar

We numerically investigate a time-delayed reservoir computer architecture based on a single mode laser diode with optical injection and optical feedback. Through a high-resolution parametric analysis, we reveal unforeseen regions of high…

Optics · Physics 2024-05-14 Lucas Oliverio , Damien Rontani , Marc Sciamanna

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

To ensure frequency stability in future low-inertia power grids, fast ancillary services such as fast frequency reserves (FFR) have been proposed. In this work, the coordination of conventional (slow) frequency containment reserves (FCR)…

Systems and Control · Electrical Eng. & Systems 2021-07-08 Joakim Björk , Karl Henrik Johansson , Florian Dörfler

Delayed feedback control is an easy realizable control method which generates control force by comparing the current and the delayed version of the system states. In this paper, a new form of the delayed feedback structure is introduced.…

Systems and Control · Computer Science 2019-02-08 Zahed Dastan , Mahsan Tavakoli-Kakhki

Nonlinear photonic delay systems present interesting implementation platforms for machine learning models. They can be extremely fast, offer great degrees of parallelism and potentially consume far less power than digital processors. So far…

Neural and Evolutionary Computing · Computer Science 2016-03-24 Michiel Hermans , Miguel Soriano , Joni Dambre , Peter Bienstman , Ingo Fischer

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

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

Reservoir computers are a type of neuromorphic computer that may be built a an analog system, potentially creating powerful computers that are small, light and consume little power. Typically a reservoir computer is build by connecting…

Neural and Evolutionary Computing · Computer Science 2021-02-03 Thomas L. Carroll

Nonlinear photonic sources including semiconductor lasers have recently been utilized as ideal computation elements for information processing. They supply energy-efficient way and rich dynamics for classification and recognition tasks. In…

Optics · Physics 2023-06-27 T. Wang , C. Jiang , Q. Fang , X. Guo , Y. Zhang , C. Jin , S. Xiang

Digital filters for recursively computing the discrete Fourier transform (DFT) and estimating the frequency spectrum of sampled signals are examined, with an emphasis on magnitude-response and numerical stability. In this tutorial-style…

Systems and Control · Computer Science 2015-08-26 Hugh L. Kennedy
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