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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

We propose and demonstrate a nonlinear control method that can be applied to unknown, complex systems where the controller is based on a type of artificial neural network known as a reservoir computer. In contrast to many modern…

Systems and Control · Electrical Eng. & Systems 2020-10-07 Daniel Canaday , Andrew Pomerance , Daniel J Gauthier

Reservoir Computing is a relatively new framework created to allow the usage of powerful but complex systems as computational mediums. The basic approach consists in training only a readout layer, exploiting the innate separation and…

Robotics · Computer Science 2022-06-23 Paolo Baldini

Artificial neural networks with internal dynamics exhibit remarkable capability in processing information. Reservoir computing (RC) is a canonical example that features rich computing expressivity and compatibility with physical…

Physical reservoir computing is a computational framework that offers an energy- and computation-efficient alternative to conventional training of neural networks. In reservoir computing, input signals are mapped into the high-dimensional…

Soft Condensed Matter · Physics 2026-01-12 Veit-Lorenz Heuthe , Lukas Seemann , Samuel Tovey , Clemens Bechinger

Reservoir Computing is a type of recursive neural network commonly used for recognizing and predicting spatio-temporal events relying on a complex hierarchy of nested feedback loops to generate a memory functionality. The Reservoir…

Mesoscale and Nanoscale Physics · Physics 2018-02-05 George Bourianoff , Daniele Pinna , Matthias Sitte , Karin Everschor-Sitte

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

In an ever expanding set of research and application areas, deep neural networks (DNNs) set the bar for algorithm performance. However, depending upon additional constraints such as processing power and execution time limits, or…

Machine Learning · Computer Science 2021-06-22 Nathan Dahlin , Krishna Chaitanya Kalagarla , Nikhil Naik , Rahul Jain , Pierluigi Nuzzo

Reservoir computing is a machine learning approach that can generate a surrogate model of a dynamical system. It can learn the underlying dynamical system using fewer trainable parameters and hence smaller training data sets than competing…

Machine Learning · Computer Science 2022-11-23 Daniel J. Gauthier , Ingo Fischer , André Röhm

We study the learning ability of linear recurrent neural networks with Gradient Descent. We prove the first theoretical guarantee on linear RNNs to learn any stable linear dynamic system using any a large type of loss functions. For an…

Machine Learning · Computer Science 2023-10-24 Lifu Wang , Tianyu Wang , Shengwei Yi , Bo Shen , Bo Hu , Xing Cao

In this paper, we elaborate over the well-known interpretability issue in echo state networks. The idea is to investigate the dynamics of reservoir neurons with time-series analysis techniques taken from research on complex systems.…

Data Analysis, Statistics and Probability · Physics 2016-11-21 Filippo Maria Bianchi , Lorenzo Livi , Cesare Alippi

A machine-learning approach called "reservoir computing" has been used successfully for short-term prediction and attractor reconstruction of chaotic dynamical systems from time series data. We present a theoretical framework that describes…

Chaotic Dynamics · Physics 2018-08-01 Zhixin Lu , Brian R. Hunt , Edward Ott

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

Production optimization under geological uncertainty is computationally expensive, as a large number of well control schedules must be evaluated over multiple geological realizations. In this work, a convolutional-recurrent neural network…

Machine Learning · Computer Science 2022-06-02 Yong Do Kim , Louis J. Durlofsky

Reservoir Computing (RC) is a popular methodology for the efficient design of Recurrent Neural Networks (RNNs). Recently, the advantages of the RC approach have been extended to the context of multi-layered RNNs, with the introduction of…

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

Recurrent neural networks (RNNs) provide a powerful approach in neuroscience to infer latent dynamics in neural populations and to generate hypotheses about the neural computations underlying behavior. However, past work has focused on…

Machine Learning · Computer Science 2025-10-30 Elia Torre , Michele Viscione , Lucas Pompe , Benjamin F Grewe , Valerio Mante

Tasks in which rewards depend upon past information not available in the current observation set can only be solved by agents that are equipped with short-term memory. Usual choices for memory modules include trainable recurrent hidden…

Machine Learning · Computer Science 2024-12-18 Kevin McKee

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 derived from recurrent neural networks is more applicable to real world systems than deep learning because of its low computational cost and potential for physical implementation. Specifically, physical reservoir…

Emerging Technologies · Computer Science 2019-12-03 Hiroyasu Ando , Hanten Chang

Echo state networks (ESN), a type of reservoir computing (RC) architecture, are efficient and accurate artificial neural systems for time series processing and learning. An ESN consists of a core of recurrent neural networks, called a…

Neural and Evolutionary Computing · Computer Science 2015-04-28 Alireza Goudarzi , Alireza Shabani , Darko Stefanovic
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