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Reservoir Computing (RC) refers to a Recurrent Neural Networks (RNNs) framework, frequently used for sequence learning and time series prediction. The RC system consists of a random fixed-weight RNN (the input-hidden reservoir layer) and a…

Machine Learning · Computer Science 2017-06-27 M. Andrecut

Reservoir computing is a recent trend in neural networks which uses the dynamical perturbations on the phase space of a system to compute a desired target function. We present how one can formulate an expectation of system performance in a…

Neural and Evolutionary Computing · Computer Science 2014-09-02 Alireza Goudarzi , Darko Stefanovic

Long-lead forecasting for spatio-temporal systems can often entail complex nonlinear dynamics that are difficult to specify it a priori. Current statistical methodologies for modeling these processes are often highly parameterized and thus,…

Machine Learning · Statistics 2018-09-05 Patrick L. McDermott , Christopher K. Wikle

Reinforcement learning (RL) policies trained in simulation often suffer from severe performance degradation when deployed in real-world environments due to non-stationary dynamics. While Domain Randomization (DR) and meta-RL have been…

Machine Learning · Computer Science 2026-02-09 Aoi Yoshimura , Gouhei Tanaka

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

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

A recurrent neural network (RNN) possesses the echo state property (ESP) if, for a given input sequence, it ``forgets'' any internal states of the driven (nonautonomous) system and asymptotically follows a unique, possibly complex…

Dynamical Systems · Mathematics 2020-06-26 Andrea Ceni , Peter Ashwin , Lorenzo Livi , Claire Postlethwaite

Underwater acoustic (UWA) communications have been widely used but greatly impaired due to the complicated nature of the underwater environment. In order to improve UWA communications, modeling and understanding the UWA channel is…

Signal Processing · Electrical Eng. & Systems 2022-05-31 Oluwaseyi Onasami , Ming Feng , Hao Xu , Mulugeta Haile , Lijun Qian

Reservoir computing is a form of machine learning that utilizes nonlinear dynamical systems to perform complex tasks in a cost-effective manner when compared to typical neural networks. Many recent advancements in reservoir computing, in…

Machine Learning · Computer Science 2025-04-03 Peter J. Ehlers , Hendra I. Nurdin , Daniel Soh

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

An approach to the time-accurate prediction of chaotic solutions is by learning temporal patterns from data. Echo State Networks (ESNs), which are a class of Reservoir Computing, can accurately predict the chaotic dynamics well beyond the…

Machine Learning · Computer Science 2021-03-16 Alberto Racca , Luca Magri

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

Since their inception, learning techniques under the Reservoir Computing paradigm have shown a great modeling capability for recurrent systems without the computing overheads required for other approaches. Among them, different flavors of…

Machine Learning · Computer Science 2021-02-18 Alejandro Barredo Arrieta , Sergio Gil-Lopez , Ibai Laña , Miren Nekane Bilbao , Javier Del Ser

Parameterized state space models in the form of recurrent networks are often used in machine learning to learn from data streams exhibiting temporal dependencies. To break the black box nature of such models it is important to understand…

Machine Learning · Computer Science 2020-02-18 Peter Tino

Evolving Cascade Neural Networks (ECNNs) and a new training algorithm capable of selecting informative features are described. The ECNN initially learns with one input node and then evolves by adding new inputs as well as new hidden…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Vitaly Schetinin

Echo State Networks (ESNs) are widely-used Recurrent Neural Networks. They are dynamical systems including, in state-space form, a nonlinear state equation and a linear output transformation. The common procedure to train ESNs is to…

Systems and Control · Electrical Eng. & Systems 2019-12-05 Luca Bugliari Armenio , Lorenzo Fagiano , Enrico Terzi , Marcello Farina , Riccardo Scattolini

Forecasting chaotic dynamics beyond a few Lyapunov times is difficult because infinitesimal errors grow exponentially. Existing Echo State Networks (ESNs) mitigate this growth but employ reservoirs whose Euclidean geometry is mismatched to…

Machine Learning · Computer Science 2025-10-21 Pradeep Singh , Sutirtha Ghosh , Ashutosh Kumar , Hrishit B P , Balasubramanian Raman

Echo State Networks are efficient time-series predictors, which highly depend on the value of the spectral radius of the reservoir connectivity matrix. Based on recent results on the mean field theory of driven random recurrent neural…

Chaotic Dynamics · Physics 2015-05-26 Mathieu Galtier , Gilles Wainrib

Recurrent spiking neural networks (RSNNs) hold great potential for advancing artificial general intelligence, as they draw inspiration from the biological nervous system and show promise in modeling complex dynamics. However, the…

Neural and Evolutionary Computing · Computer Science 2023-05-30 Guan Wang , Yuhao Sun , Sijie Cheng , Sen Song

Deep Echo State Networks (DeepESNs) recently extended the applicability of Reservoir Computing (RC) methods towards the field of deep learning. In this paper we study the impact of constrained reservoir topologies in the architectural…

Machine Learning · Computer Science 2019-09-25 Claudio Gallicchio , Alessio Micheli
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