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This paper examines Echo State Network, a reservoir computer, performance using four different benchmark problems, then proposes heuristics or rules of thumb for configuring the architecture, as well as the selection of parameters and their…

Neural and Evolutionary Computing · Computer Science 2025-08-15 Brooke R. Weborg , Gursel Serpen

Quantum reservoir computing is an emergent field in which quantum dynamical systems are exploited for temporal information processing. In previous work, it was found a feature that makes a quantum reservoir valuable: contractive dynamics of…

Quantum Physics · Physics 2025-06-18 Rodrigo Martínez-Peña , Juan-Pablo Ortega

In this paper we demonstrate that reservoir computing can be used to learn the dynamics of the shallow-water equations. In particular, while most previous applications of reservoir computing have required training on a particular trajectory…

Machine Learning · Computer Science 2022-11-10 Xiaoqian Chen , Balasubramanya T. Nadiga , Ilya Timofeyev

Recurrent neural networks (RNNs) have become increasingly popular in information processing tasks involving time series and temporal data. A fundamental property of RNNs is their ability to create reliable input/output responses, often…

Machine Learning · Statistics 2026-05-07 Juan-Pablo Ortega , Florian Rossmannek

In reservoir computing, an input sequence is processed by a recurrent neural network, the reservoir, which transforms it into a spatial pattern that a shallow readout network can then exploit for tasks such as memorization and time-series…

Neural and Evolutionary Computing · Computer Science 2025-12-30 Denis Kleyko , Christopher J. Kymn , E. Paxon Frady , Amy Loutfi , Friedrich T. Sommer

We introduce a new mechanism---the forget-remember mechanism into the spreading process. Equipped with such a mechanism an individual is prone to forget the "message" received and remember the one forgotten, namely switching his state…

Biological Physics · Physics 2015-05-20 Jiao Gu , Wei Li , Xu Cai

This paper is motivated by a class of positive systems with an input that is subject to an unknown state-dependent power law delay as well as saturation. For example, biological networks have non-negative protein concentration states. Mass…

Optimization and Control · Mathematics 2022-12-26 Damon E. Ghetmiri , Amor A. Menezes

Recurrent neural networks are used to forecast time series in finance, climate, language, and from many other domains. Reservoir computers are a particularly easily trainable form of recurrent neural network. Recently, a "next-generation"…

Machine Learning · Computer Science 2023-03-28 Sarah E. Marzen , Paul M. Riechers , James P. Crutchfield

Numerical evaluations of the memory capacity (MC) of recurrent neural networks reported in the literature often contradict well-established theoretical bounds. In this paper, we study the case of linear echo state networks, for which the…

Machine Learning · Computer Science 2024-09-11 Giovanni Ballarin , Lyudmila Grigoryeva , Juan-Pablo Ortega

Echo-State Networks (ESNs) distil a key neurobiological insight: richly recurrent but fixed circuitry combined with adaptive linear read-outs can transform temporal streams with remarkable efficiency. Yet fundamental questions about…

Neural and Evolutionary Computing · Computer Science 2025-07-25 Pradeep Singh , Lavanya Sankaranarayanan , Balasubramanian Raman

A reservoir computer is a way of using a high dimensional dynamical system for computation. One way to construct a reservoir computer is by connecting a set of nonlinear nodes into a network. Because the network creates feedback between…

Neural and Evolutionary Computing · Computer Science 2022-03-02 Thomas L. Carroll

Reservoir computing is a form of machine learning that utilizes nonlinear dynamical systems to perform complex tasks in a cost-effective manner when compared to typical neural networks. Many recent advancements in reservoir computing, in…

Machine Learning · Computer Science 2025-04-03 Peter J. Ehlers , Hendra I. Nurdin , Daniel Soh

Reservoir computing is a machine learning paradigm that uses a high-dimensional dynamical system, or \emph{reservoir}, to approximate and predict time series data. The scale, speed and power usage of reservoir computers could be enhanced by…

Neural and Evolutionary Computing · Computer Science 2022-11-16 Forrest C. Sheldon , Artemy Kolchinsky , Francesco Caravelli

Models trained on a new task typically degrade on prior tasks, a phenomenon known as forgetting. Traditionally, mitigating forgetting has required replaying stored exemplars from prior tasks, which is often impractical. By contrast,…

Machine Learning · Computer Science 2026-05-26 Martin Marek , Dongkyu Cho , Shikai Qiu , Rumi Chunara , Pavel Izmailov , Andrew Gordon Wilson

The idea of using metaplastic synapses to incorporate the separate storage of long- and short-term memories via an array of hidden states was put forward in the cascade model of Fusi et al. In this paper, we devise and investigate two…

Disordered Systems and Neural Networks · Physics 2011-09-26 A. Mehta , J. M. Luck

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

Reservoir computing(RC) is a brain-inspired computing framework that employs a transient dynamical system whose reaction to an input signal is transformed to a target output. One of the central problems in RC is to find a reliable reservoir…

Chaotic Dynamics · Physics 2020-08-26 Jaesung Choi , Pilwon Kim

Sequential information contains short- to long-range dependencies; however, learning long-timescale information has been a challenge for recurrent neural networks. Despite improvements in long short-term memory networks (LSTMs), the…

Machine Learning · Computer Science 2021-05-14 Hsiang-Yun Sherry Chien , Javier S. Turek , Nicole Beckage , Vy A. Vo , Christopher J. Honey , Ted L. Willke

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

This paper extends the notion of information processing capacity for non-independent input signals in the context of reservoir computing (RC). The presence of input autocorrelation makes worthwhile the treatment of forecasting and filtering…

Emerging Technologies · Computer Science 2015-10-08 Lyudmila Grigoryeva , Julie Henriques , Juan-Pablo Ortega