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Multifunctionality is a well observed phenomenological feature of biological neural networks and considered to be of fundamental importance to the survival of certain species over time. These multifunctional neural networks are capable of…

Neural and Evolutionary Computing · Computer Science 2021-02-03 Andrew Flynn , Vassilios A. Tsachouridis , Andreas Amann

Reservoir Computing offers a great computational framework where a physical system can directly be used as computational substrate. Typically a "reservoir" is comprised of a large number of dynamical systems, and is consequently…

Chaotic Dynamics · Physics 2022-05-11 Swarnendu Mandal , Sudeshna Sinha , Manish Dev Shrimali

This paper underscores the conjecture that intrinsic computation is maximal in systems at the "edge of chaos." We study the relationship between dynamics and computational capability in Random Boolean Networks (RBN) for Reservoir Computing…

Adaptation and Self-Organizing Systems · Physics 2013-04-23 David Snyder , Alireza Goudarzi , Christof Teuscher

The study of the boundary between classically simulable and computationally complex quantum dynamics is fundamental to understanding which physical resources may enable enhanced information-processing capabilities. We investigate this…

Quantum Physics · Physics 2026-05-08 Moein N. Ivaki , Matias Karjula , Tapio Ala-Nissila

Quantum reservoir computing is an emerging field in machine learning with quantum systems. While classical reservoir computing has proven to be a capable concept of enabling machine learning on real, complex dynamical systems with many…

Quantum Physics · Physics 2023-12-14 Niclas Götting , Frederik Lohof , Christopher Gies

A reservoir computer is a way of using a high dimensional dynamical system for computation. One way to construct a reservoir computer is by connecting a set of nonlinear nodes into a network. Because the network creates feedback between…

Neural and Evolutionary Computing · Computer Science 2022-03-02 Thomas L. Carroll

We review attempts that have been made towards understanding the computational properties and mechanisms of input-driven dynamical systems like RNNs, and reservoir computing networks in particular. We provide details on methods that have…

Neural and Evolutionary Computing · Computer Science 2014-01-10 Oliver Obst , Joschka Boedecker

We infer both microscopic and macroscopic behaviors of a three-dimensional chaotic fluid flow using reservoir computing. In our procedure of the inference, we assume no prior knowledge of a physical process of a fluid flow except that its…

Computational Physics · Physics 2018-09-12 Kengo Nakai , Yoshitaka Saiki

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

In this paper we give a profound insight into the computation capability of delay-based reservoir computing via an eigenvalue analysis. We concentrate on the task-independent memory capacity to quantify the reservoir performance and compare…

Machine Learning · Computer Science 2021-05-05 Felix Köster , Serhiy Yanchuk , Kathy Lüdge

Chaotic dynamics have emerged as a versatile resource for neuromorphic and probabilistic computing, enabling high-dimensional nonlinear processing and classical analogues of quantum randomness. Exploiting chaos for computation requires…

Chaotic Dynamics · Physics 2026-05-20 Jungyoon Kim , Kyuho Kim , Kunwoo Park , Namkyoo Park , Sunkyu Yu

Coupled networks of mass-spring resonators have attracted growing attention across multiple fundamental and applied research directions, including reservoir computing for artificial intelligence. This has led to the exploration of platforms…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Andrea Grimaldi , Davi R. Rodrigues , Andrea Meo , Francesca Garescì , Giovanni Finocchio

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

Reservoirs, typically implemented as recurrent neural networks with fixed random connection weights, can be combined with a simple trained readout layer to perform a wide range of computational tasks. However, increasing the magnitude of…

Neurons and Cognition · Quantitative Biology 2026-04-01 Claus Metzner , Achim Schilling , Andreas Maier , Thomas Kinfe , Patrick Krauss

The optimal control of a water reservoir systems represents a challenging problem, due to uncertain hydrologic inputs and the need to adapt to changing environment and varying control objectives. In this work, we propose a real-time…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Pauline Kergus , Simone Formentin , Matteo Giuliani , Andrea Castelletti

Forecasting timeseries based upon measured data is needed in a wide range of applications and has been the subject of extensive research. A particularly challenging task is the forecasting of timeseries generated by chaotic dynamics. In…

Machine Learning · Computer Science 2024-11-06 Lina Jaurigue

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

Conformal prediction offers a powerful framework for building distribution-free prediction intervals for exchangeable data. Existing methods that extend conformal prediction to sequential data rely on fitting a relatively complex model to…

Machine Learning · Computer Science 2026-03-03 Roberto Neglia , Andrea Cini , Michael M. Bronstein , Filippo Maria Bianchi

Quantum reservoir computing employs fixed quantum dynamics as a feature map for machine learning. Integrating multiple quantum reservoirs, however, raises a key question: how few inter-module connections are sufficient to match the…

Quantum Physics · Physics 2025-11-17 Hon Wai Lau , Aoi Hayashi , Akitada Sakurai , William John Munro , Kae Nemoto

The reservoir computing networks (RCNs) have been successfully employed as a tool in learning and complex decision-making tasks. Despite their efficiency and low training cost, practical applications of RCNs rely heavily on empirical…

Machine Learning · Computer Science 2021-12-14 Wei Miao , Vignesh Narayanan , Jr-Shin Li