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Mechanical systems exhibit complex dynamical behavior from harmonic oscillations to chaotic motion. The dynamics undergo qualitative changes due to changes to internal system parameters like stiffness and changes to external forcing.…

Chaotic Dynamics · Physics 2024-12-06 Manish Yadav , Swati Chauhan , Manish Dev Shrimali , Merten Stender

Deep learning techniques have shown promise in many domain applications. This paper proposes a novel deep reservoir computing framework, termed deep recurrent stochastic configuration network (DeepRSCN) for modelling nonlinear dynamic…

Machine Learning · Computer Science 2024-10-29 Gang Dang , Dianhui Wang

Reservoir computing is a machine learning framework that uses artificial or physical dissipative dynamics to predict time-series data using nonlinearity and memory properties of dynamical systems. Quantum systems are considered as promising…

Reservoir computing is a machine learning framework that exploits nonlinear dynamics, exhibiting significant computational capabilities. One of the defining characteristics of reservoir computing is its low cost and straightforward training…

Machine Learning · Computer Science 2025-01-14 Akane Ookubo , Masanobu Inubushi

Reservoir computing is a machine learning paradigm that transforms the transient dynamics of high-dimensional nonlinear systems for processing time-series data. Although reservoir computing was initially proposed to model information…

Neurons and Cognition · Quantitative Biology 2023-06-14 Takuma Sumi , Hideaki Yamamoto , Yuichi Katori , Satoshi Moriya , Tomohiro Konno , Shigeo Sato , Ayumi Hirano-Iwata

In this paper, we study the operational problem of connected hydro power reservoirs which involves sequential decision-making in an uncertain and dynamic environment. The problem is traditionally formulated as a stochastic dynamic program…

Optimization and Control · Mathematics 2022-05-17 Farzaneh Pourahmadi , Trine Krogh Boomsma

Approximation capability of reservoir systems whose reservoir is a recurrent neural network (RNN) is discussed. We show what we call uniform strong universality of RNN reservoir systems for a certain class of dynamical systems. This means…

Neural and Evolutionary Computing · Computer Science 2025-04-08 Hiroki Yasumoto , Toshiyuki Tanaka

Efficient quantum state measurement is important for maximizing the extracted information from a quantum system. For multi-qubit quantum processors in particular, the development of a scalable architecture for rapid and high-fidelity…

Quantum Physics · Physics 2022-06-06 Gerasimos Angelatos , Saeed Khan , Hakan E. Türeci

In the context of energy transition, industrial plants that heavily rely on electricity face more and more price volatility. To continue operating in these conditions, the directors become continually more willing to increase their…

Optimization and Control · Mathematics 2021-04-20 Thibaut Cuvelier

Reservoir computing has proven effective for tasks such as time-series prediction, particularly in the context of chaotic systems. However, conventional reservoir computing frameworks often face challenges in achieving high prediction…

Chaotic Dynamics · Physics 2025-05-28 Felix Köster , Kazutaka Kanno , Atsushi Uchida

We formulate, using the discrete nonlinear Schroedinger equation (DNLS), a general approach to encode and process information based on reservoir computing. Reservoir computing is a promising avenue for realizing neuromorphic computing…

Data Analysis, Statistics and Probability · Physics 2018-11-07 Simone Borlenghi , Magnus Boman , Anna Delin

The reservoir computing scheme is a machine learning mechanism which utilizes the naturally occuring computational capabilities of dynamical systems. One important subset of systems that has proven powerful both in experiments and theory…

Neural and Evolutionary Computing · Computer Science 2021-08-09 André Röhm , Kathy Lüdge

Reservoir computing (RC) is a state-of-the-art machine learning method that makes use of the power of dynamical systems (the reservoir) for real-time inference. When using biological complex systems as reservoir substrates, it serves as a…

Adaptation and Self-Organizing Systems · Physics 2026-03-03 Mario U. Gaimann , Miriam Klopotek

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

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 is a machine learning framework where the readouts from a nonlinear system (the reservoir) are trained so that the output from the reservoir, when forced with an input signal, reproduces a desired output signal. A common…

Neural and Evolutionary Computing · Computer Science 2023-12-21 Lauren A. Hurley , Juan G. Restrepo , Sean E. Shaheen

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

Machine learning techniques offer an effective approach to modeling dynamical systems solely from observed data. However, without explicit structural priors -- built-in assumptions about the underlying dynamics -- these techniques typically…

Machine Learning · Computer Science 2025-10-30 Declan A. Norton , Yuanzhao Zhang , Michelle Girvan

We investigate, both numerically and experimentally, the usefulness of a distributed nonlinearity in a passive coherent photonic reservoir computer. This computing system is based on a passive coherent optical fiber-ring cavity in which…

Applied Physics · Physics 2019-08-30 Jaël Pauwels , Guy Verschaffelt , Serge Massar , Guy Van der Sande