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Reservoir computing is applied to model the large-scale evolution and the resulting low-order turbulence statistics of a two-dimensional turbulent Rayleigh-B\'{e}nard convection flow at a Rayleigh number ${\rm Ra}=10^7$ and a Prandtl number…

Fluid Dynamics · Physics 2020-11-25 Sandeep Pandey , Jörg Schumacher

An emerging computing paradigm, so-called next-generation reservoir computing (NG-RC) is investigated. True to its namesake, NG-RC requires no actual reservoirs for input data mixing but rather computing the polynomial terms directly from…

Machine Learning · Computer Science 2025-12-16 Ken-ichi Kitayama

Reservoir computing is a powerful machine learning paradigm for online time series processing. It has reached state-of-the-art performance in tasks such as chaotic time series prediction and continuous speech recognition thanks to its…

Quantum Physics · Physics 2021-08-03 Johannes Nokkala

Reservoir Computing is a relatively recent computational framework based on a large Recurrent Neural Network with fixed weights. Many physical implementations of Reservoir Computing have been proposed to improve speed and energy efficiency.…

Emerging Technologies · Computer Science 2019-09-10 Jonathan Dong , Mushegh Rafayelyan , Florent Krzakala , Sylvain Gigan

A reservoir computer is a complex nonlinear dynamical system that has been shown to be useful for solving certain problems, such as prediction of chaotic signals, speech recognition or control of robotic systems. Typically a reservoir…

Emerging Technologies · Computer Science 2019-08-30 Thomas L. Carroll , Louis M. Pecora

We propose and demonstrate a nonlinear control method that can be applied to unknown, complex systems where the controller is based on a type of artificial neural network known as a reservoir computer. In contrast to many modern…

Systems and Control · Electrical Eng. & Systems 2020-10-07 Daniel Canaday , Andrew Pomerance , Daniel J Gauthier

A minimal model for reservoir computing is studied. We demonstrate that a reservoir computer exists that emulates given coupled maps by constructing a modularized network. We describe a possible mechanism for collapses of the emulation in…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Yuzuru Sato , Miki Kobayashi

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

We demonstrate a data-driven technique for adaptive control in dynamical systems that exploits the reservoir computing method. We show that a reservoir computer can be trained to predict a system parameter from the time series data.…

The optimal control of a water reservoir systems represents a challenging problem, due to uncertain hydrologic inputs and the need to adapt to changing environment and varying control objectives. In this work, we propose a real-time…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Pauline Kergus , Simone Formentin , Matteo Giuliani , Andrea Castelletti

Reservoir Computing offers a great computational framework where a physical system can directly be used as computational substrate. Typically a "reservoir" is comprised of a large number of dynamical systems, and is consequently…

Chaotic Dynamics · Physics 2022-05-11 Swarnendu Mandal , Sudeshna Sinha , Manish Dev Shrimali

Reservoir computing (RC) is a computational framework known for its training efficiency, making it ideal for physical hardware implementations. However, realizing the complex interconnectivity of traditional reservoirs in physical systems…

Machine Learning · Computer Science 2026-04-14 Smita Deb , Shirin Panahi , Mulugeta Haile , Ying-Cheng Lai

This paper underscores the conjecture that intrinsic computation is maximal in systems at the "edge of chaos." We study the relationship between dynamics and computational capability in Random Boolean Networks (RBN) for Reservoir Computing…

Adaptation and Self-Organizing Systems · Physics 2013-04-23 David Snyder , Alireza Goudarzi , Christof Teuscher

Tasks in which rewards depend upon past information not available in the current observation set can only be solved by agents that are equipped with short-term memory. Usual choices for memory modules include trainable recurrent hidden…

Machine Learning · Computer Science 2024-12-18 Kevin McKee

Using the machine learning approach known as reservoir computing, it is possible to train one dynamical system to emulate another. We show that such trained reservoir computers reproduce the properties of the attractor of the chaotic system…

Neural and Evolutionary Computing · Computer Science 2018-08-01 Piotr Antonik , Marvyn Gulina , Jaël Pauwels , Serge Massar

Nonlinear and non-stationary processes are prevalent in various natural and physical phenomena, where system dynamics can change qualitatively due to bifurcation phenomena. Traditional machine learning methods have advanced our ability to…

Machine Learning · Statistics 2024-06-21 Keita Tokuda , Yuichi Katori

The availability of large amounts of data and the necessity to process it efficiently have led to rapid development of machine learning techniques. To name a few examples, artificial neural network architectures are commonly used for…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Andrzej Opala , Sanjib Ghosh , Timothy C. H. Liew , Michał Matuszewski

Reservoir computing derived from recurrent neural networks is more applicable to real world systems than deep learning because of its low computational cost and potential for physical implementation. Specifically, physical reservoir…

Emerging Technologies · Computer Science 2019-12-03 Hiroyasu Ando , Hanten Chang

Reservoir Computing is a type of recursive neural network commonly used for recognizing and predicting spatio-temporal events relying on a complex hierarchy of nested feedback loops to generate a memory functionality. The Reservoir…

Mesoscale and Nanoscale Physics · Physics 2018-02-05 George Bourianoff , Daniele Pinna , Matthias Sitte , Karin Everschor-Sitte

Reservoir observers provide a data-driven approach to the inference of unmeasured variables from observed ones for nonlinear dynamical systems. While previous studies have demonstrated wide applicability, their performance may vary…

Machine Learning · Computer Science 2026-04-13 Yichen Liu , Wei Xiao , Tianguang Chu