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Forecasting high-dimensional spatiotemporal systems remains computationally challenging for recurrent neural networks (RNNs) and long short-term memory (LSTM) models due to gradient-based training and memory bottlenecks. Reservoir Computing…

Machine Learning · Computer Science 2026-01-05 Ata Akbari Asanjan , Filip Wudarski , Daniel O'Connor , Shaun Geaney , Elena Strbac , P. Aaron Lott , Davide Venturelli

Reduced-order dynamical models play a central role in developing our understanding of predictability of climate irrespective of whether we are dealing with the actual climate system or surrogate climate-models. In this context, the…

Geophysics · Physics 2021-03-11 B. T. Nadiga

Reservoir computing (RC) offers efficient temporal data processing with a low training cost by separating recurrent neural networks into a fixed network with recurrent connections and a trainable linear network. The quality of the fixed…

Emerging Technologies · Computer Science 2021-05-17 John Moon , Wei D. Lu

Reservoir computers (RC) have proven useful as surrogate models in forecasting and replicating systems of chaotic dynamics. The quality of surrogate models based on RCs is crucially dependent on their optimal implementation that involves…

Machine Learning · Computer Science 2022-12-19 Pauliina Kärkkäinen , Riku Linna

Physical reservoir computing (RC) is a machine learning algorithm that employs the dynamics of a physical system to forecast highly nonlinear and chaotic phenomena. In this paper, we introduce a quantum RC system that employs the dynamics…

Neural and Evolutionary Computing · Computer Science 2024-03-05 A. H. Abbas , Ivan S. Maksymov

Machine learning has become a fundamental approach for modeling, prediction, and control, enabling systems to learn from data and perform complex tasks. Reservoir computing is a machine learning tool that leverages high-dimensional…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Sahand Tangerami , Nicholas A. Mecholsky , Francesco Sorrentino

Reservoir computers (RCs) provide a computationally efficient alternative to deep learning while also offering a framework for incorporating brain-inspired computational principles. By using an internal neural network with random, fixed…

Neural and Evolutionary Computing · Computer Science 2025-04-18 Keshav Srinivasan , Dietmar Plenz , Michelle Girvan

Reservoir computing (RC) is a novel approach to time series prediction using recurrent neural networks. In RC, an input signal perturbs the intrinsic dynamics of a medium called a reservoir. A readout layer is then trained to reconstruct a…

Neural and Evolutionary Computing · Computer Science 2014-01-13 Alireza Goudarzi , Peter Banda , Matthew R. Lakin , Christof Teuscher , Darko Stefanovic

Reservoir computers (RCs) are powerful machine learning architectures for time series prediction. Recently, next generation reservoir computers (NGRCs) have been introduced, offering distinct advantages over RCs, such as reduced…

Machine Learning · Computer Science 2024-06-07 Ravi Chepuri , Dael Amzalag , Thomas Antonsen , Michelle Girvan

Machine learning approaches have recently been leveraged as a substitute or an aid for physical/mathematical modeling approaches to dynamical systems. To develop an efficient machine learning method dedicated to modeling and prediction of…

Machine Learning · Computer Science 2022-08-01 Gouhei Tanaka , Tadayoshi Matsumori , Hiroaki Yoshida , Kazuyuki Aihara

Reservoir Computing (RC) is a simple and efficient model-free framework for forecasting the behavior of nonlinear dynamical systems from data. Here, we show that there exist commonly-studied systems for which leading RC frameworks struggle…

Machine Learning · Computer Science 2023-09-27 Yuanzhao Zhang , Sean P. Cornelius

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

Reservoir computing (RC), first applied to temporal signal processing, is a recurrent neural network in which neurons are randomly connected. Once initialized, the connection strengths remain unchanged. Such a simple structure turns RC into…

Neural and Evolutionary Computing · Computer Science 2023-08-10 Heng Zhang , Danilo Vasconcellos Vargas

Reservoir computing (RC) is a machine learning algorithm that can learn complex time series from data very rapidly based on the use of high-dimensional dynamical systems, such as random networks of neurons, called "reservoirs." To implement…

Machine Learning · Computer Science 2020-12-29 Yusuke Sakemi , Kai Morino , Timothée Leleu , Kazuyuki Aihara

As an alternative approach for predicting complex dynamical systems where physics-based models are no longer reliable, reservoir computing (RC) has gained popularity. The hybrid approach is considered an interesting option for improving the…

Machine Learning · Computer Science 2025-01-21 Tamon Nakano , Sebastian Baur , Christoph Räth

Reservoir computing (RC) represents a class of state-space models (SSMs) characterized by a fixed state transition mechanism (the reservoir) and a flexible readout layer that maps from the state space. It is a paradigm of computational…

Machine Learning · Computer Science 2025-04-17 Pradeep Singh , Ashutosh Kumar , Sutirtha Ghosh , Hrishit B P , Balasubramanian Raman

We examine the efficiency of Recurrent Neural Networks in forecasting the spatiotemporal dynamics of high dimensional and reduced order complex systems using Reservoir Computing (RC) and Backpropagation through time (BPTT) for gated network…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Pantelis R. Vlachas , Jaideep Pathak , Brian R. Hunt , Themistoklis P. Sapsis , Michelle Girvan , Edward Ott , Petros Koumoutsakos

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

Predicting chaotic systems is crucial for understanding complex behaviors, yet challenging due to their sensitivity to initial conditions and inherent unpredictability. Probabilistic Reservoir Computing (RC) is well-suited for long-term…

Materials Science · Physics 2024-07-03 Cen Wang , Xinyao Lei , Kaiming Cai , Xiaofei Yang , Yue Zhang

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
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