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We develop a versatile optimization method, which finds the design parameters that minimize time-averaged acoustic cost functionals. The method is gradient-free, model-informed, and data-driven with reservoir computing based on echo state…

Fluid Dynamics · Physics 2022-02-03 Francisco Huhn , Luca Magri

Power systems dominated by renewable energy encounter frequently large, random disturbances, and a critical challenge faced in power-system management is how to anticipate accurately whether the perturbed systems will return to the…

Machine Learning · Computer Science 2023-05-25 Yao Du , Qing Li , Huawei Fan , Meng Zhan , Jinghua Xiao , Xingang Wang

We introduce a novel framework of reservoir computing. Cellular automaton is used as the reservoir of dynamical systems. Input is randomly projected onto the initial conditions of automaton cells and nonlinear computation is performed on…

Neural and Evolutionary Computing · Computer Science 2014-10-02 Ozgur Yilmaz

Forecasting the behavior of high-dimensional dynamical systems using machine learning requires efficient methods to learn the underlying physical model. We demonstrate spatiotemporal chaos prediction using a machine learning architecture…

Machine Learning · Computer Science 2022-09-27 Wendson A. S. Barbosa , Daniel J. Gauthier

Reservoir computing has emerged as a powerful framework for time series modelling and forecasting including the prediction of discontinuous transitions. However, the mechanism behind its success is not yet fully understood. This letter…

Chaotic Dynamics · Physics 2025-10-16 Dishant Sisodia , Sarika Jalan

The applicability of machine learning for predicting chaotic dynamics relies heavily upon the data used in the training stage. Chaotic time series obtained by numerically solving ordinary differential equations embed a complicated noise of…

Data Analysis, Statistics and Probability · Physics 2021-10-13 Igor A Khovanov

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

Reservoir Computing is a class of simple yet efficient Recurrent Neural Networks where internal weights are fixed at random and only a linear output layer is trained. In the large size limit, such random neural networks have a deep…

Machine Learning · Statistics 2021-02-18 Jonathan Dong , Ruben Ohana , Mushegh Rafayelyan , Florent Krzakala

High-dimensional nonlinear dynamical systems including neural networks can be utilized as a computational resource for information processing. In this sense, nonlinear wave systems are good candidate for such a computational resource. Here,…

Applied Physics · Physics 2019-07-30 Satoshi Sunada , Atsushi Uchida

Understanding the fundamental relationships between physics and its information-processing capability has been an active research topic for many years. Physical reservoir computing is a recently introduced framework that allows one to…

Adaptation and Self-Organizing Systems · Physics 2020-06-24 Kohei Nakajima

Neuromorphic computing is at the basis of the recent progress in artificial intelligence. But the progress is accompanied with increasing demands in computational resources and power supply. Reservoir neuromorphic computing uses a…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Teng Long , Yibo Deng , Xuekai Ma , Chunling Gu , Guillaume Malpuech , Qing Liao , Hongbing Fu , Dmitry Solnyshkov

Quantum reservoir computing is a computing approach which aims at utilising the complexity and high-dimensionality of small quantum systems, together with the fast trainability of reservoir computing, in order to solve complex tasks. The…

Quantum Physics · Physics 2024-01-19 Saud Čindrak , Brecht Donvil , Kathy Lüdge , Lina Jaurigue

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

There is a growing interest in the development of artificial neural networks that are implemented in a physical system. A major challenge in this context is that these networks are difficult to train since training here would require a…

Emerging Technologies · Computer Science 2026-01-22 Michael te Vrugt

Reservoir Computing (RC), a type of recurrent random neural network, is a powerful framework for modeling complex and chaotic dynamics. However, its autonomous (closed-loop) operation is often plagued by inherent instability. Moreover,…

Chaotic Dynamics · Physics 2026-02-12 Satoshi Oishi , Hiroshi Yamashita , Hideyuki Suzuki , Sho Shirasaka

Reservoir computing is a best-in-class machine learning algorithm for processing information generated by dynamical systems using observed time-series data. Importantly, it requires very small training data sets, uses linear optimization,…

Machine Learning · Computer Science 2021-09-22 Daniel J. Gauthier , Erik Bollt , Aaron Griffith , Wendson A. S. Barbosa

Reservoir Computing is an Unconventional Computation model to perform computation on various different substrates, such as recurrent neural networks or physical materials. The method takes a 'black-box' approach, training only the outputs…

Emerging Technologies · Computer Science 2025-03-03 Chester Wringe , Martin Trefzer , Susan Stepney

Machine learning recently proved efficient in learning differential equations and dynamical systems from data. However, the data is commonly assumed to originate from a single never-changing system. In contrast, when modeling real-world…

Machine Learning · Computer Science 2022-06-28 Leonard Bereska , Efstratios Gavves

Physical reservoir computing has emerged as a powerful framework for exploiting the inherent nonlinear dynamics of physical systems to perform computational tasks. Recently, we presented the magnon-scattering reservoir, whose internal nodes…

Mesoscale and Nanoscale Physics · Physics 2025-05-07 Christopher Heins , Joo-Von Kim , Lukas Körber , Jürgen Fassbender , Helmut Schultheiss , Katrin Schultheiss

Quantum reservoir computing is a promising approach for quantum neural networks, capable of solving hard learning tasks on both classical and quantum input data. However, current approaches with qubits suffer from limited connectivity. We…

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