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The prediction of complex nonlinear dynamical systems with the help of machine learning techniques has become increasingly popular. In particular, reservoir computing turned out to be a very promising approach especially for the…

Data Analysis, Statistics and Probability · Physics 2020-01-08 Alexander Haluszczynski , Christoph Räth

Prediction of spatio-temporal chaotic systems is important in various fields, such as Numerical Weather Prediction (NWP). While data assimilation methods have been applied in NWP, machine learning techniques, such as Reservoir Computing…

Machine Learning · Computer Science 2020-06-26 Futo Tomizawa , Yohei Sawada

Reservoir computers (RC) are a form of recurrent neural network (RNN) used for forecasting timeseries data. As with all RNNs, selecting the hyperparameters presents a challenge when training onnew inputs. We present a method based on…

Computational Physics · Physics 2022-01-05 Jason A. Platt , Adrian S. Wong , Randall Clark , Stephen G. Penny , Henry D. I. Abarbanel

Reservoir Computing (RC) is an appealing approach in Machine Learning that combines the high computational capabilities of Recurrent Neural Networks with a fast and easy training method. Likewise, successful implementation of neuro-inspired…

Adaptation and Self-Organizing Systems · Physics 2021-07-13 Guillermo B. Morales , Claudio R. Mirasso , Miguel C. Soriano

Reservoir computers (RC) are a form of recurrent neural network (RNN) used for forecasting time series data. As with all RNNs, selecting the hyperparameters presents a challenge when training on new inputs. We present a method based on…

Neural and Evolutionary Computing · Computer Science 2021-04-16 Jason A. Platt , Adrian Wong , Randall Clark , Stephen G. Penny , Henry D. I. Abarbanel

Measurements acquired from distributed physical systems are often sparse and noisy. Therefore, signal processing and system identification tools are required to mitigate noise effects and reconstruct unobserved dynamics from limited sensor…

Machine Learning · Computer Science 2025-09-08 Omid Sedehi , Manish Yadav , Merten Stender , Sebastian Oberst

Forecasting chaotic systems is a notably complex task, which in recent years has been approached with reasonable success using reservoir computing (RC), a recurrent network with fixed random weights (the reservoir) used to extract the…

Forecasting chaotic time series requires models that can capture the intrinsic geometry of the underlying attractor while remaining computationally efficient. We introduce a novel reservoir computing (RC) framework that integrates…

Neural and Evolutionary Computing · Computer Science 2025-11-06 S. K. Laha

Reservoir computing (RC) systems can efficiently forecast chaotic time series using nonlinear dynamical properties of an artificial neural network of random connections. The versatility of RC systems has motivated further research on both…

Neural and Evolutionary Computing · Computer Science 2024-02-07 Ivan S. Maksymov

Reservoir computing (RC) is known as a powerful machine learning approach for learning complex dynamics from limited data. Here, we use RC to predict highly stochastic dynamics of cell shapes. We find that RC is able to predict the steady…

Biological Physics · Physics 2024-09-17 Hoony Kang , Keshav Srinivasan , Wolfgang Losert

We study how the degree of nonlinearity in the input data affects the optimal design of reservoir computers, focusing on how closely the model's nonlinearity should align with that of the data. By reducing minimal RCs to a single tunable…

Machine Learning · Computer Science 2025-04-25 Davide Prosperino , Haochun Ma , Christoph Räth

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 (RC) is a powerful computational paradigm that allows high versatility with cheap learning. While other artificial intelligence approaches need exhaustive resources to specify their inner workings, RC is based on a…

Adaptation and Self-Organizing Systems · Physics 2018-11-26 Luís F Seoane

Reservoir computing (RC) is among the most promising approaches for AI-based prediction models of complex systems. It combines superior prediction performance with very low CPU-needs for training. Recent results demonstrated that quantum…

Quantum Physics · Physics 2025-02-25 Joel Steinegger , Christoph Räth

Reservoir computing (RC) is a powerful framework for predicting nonlinear dynamical systems, yet the role of reservoir topology$-$particularly symmetry in connectivity and weights$-$remains not adequately understood. This work investigates…

Fluid Dynamics · Physics 2026-03-10 Shailendra K. Rathor , Lina Jaurigue , Martin Ziegler , Jörg Schumacher

Machine learning has become a widely popular and successful paradigm, including in data-driven science and engineering. A major application problem is data-driven forecasting of future states from a complex dynamical. Artificial neural…

Data Analysis, Statistics and Probability · Physics 2021-03-19 Erik Bollt

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

Reservoir computing (RC) offers a neuromorphic framework that is particularly effective for processing spatiotemporal signals. Known for its temporal processing prowess, RC significantly lowers training costs compared to conventional…

Neural and Evolutionary Computing · Computer Science 2025-03-24 Ankur Singh , Sanghyeon Choi , Gunuk Wang , Maryaradhiya Daimari , Byung-Geun Lee

We show that recurrent quantum reservoir computers (QRCs) and their recurrence-free architectures (RF-QRCs) are robust tools for learning and forecasting chaotic dynamics from time-series data. First, we formulate and interpret quantum…

Quantum Physics · Physics 2025-06-30 Osama Ahmed , Felix Tennie , Luca Magri

Reservoir computing is a machine learning paradigm that uses a structure called a reservoir, which has nonlinearities and short-term memory. In recent years, reservoir computing has expanded to new functions such as the autonomous…

Machine Learning · Computer Science 2023-07-05 Kohei Tsuchiyama , André Röhm , Takatomo Mihana , Ryoichi Horisaki , Makoto Naruse