A systematic exploration of reservoir computing for forecasting complex spatiotemporal dynamics

JA Platt, SG Penny, TA Smith, TC Chen, HDI Abarbanel - Neural Networks, 2022 - Elsevier
A reservoir computer (RC) is a type of recurrent neural network architecture with
demonstrated success in the prediction of spatiotemporally chaotic dynamical systems. A …

Learning spatiotemporal chaos using next-generation reservoir computing

WAS Barbosa, DJ Gauthier - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
Forecasting the behavior of high-dimensional dynamical systems using machine learning
requires efficient methods to learn the underlying physical model. We demonstrate …

Echo state network and classical statistical techniques for time series forecasting: A review

FC Cardoso, RA Berri, EN Borges, BL Dalmazo… - Knowledge-Based …, 2024 - Elsevier
Forecasting is an extensive field of study, which tries to avoid injuries, diseases, and
damages but also can help in energy production, finance investments, etc. Two mathematics …

Catch-22s of reservoir computing

Y Zhang, SP Cornelius - Physical Review Research, 2023 - APS
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 …

Learning unseen coexisting attractors

DJ Gauthier, I Fischer, A Röhm - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
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 …

Physical reservoir computing using finitely-sampled quantum systems

SA Khan, F Hu, G Angelatos, HE Türeci - arXiv preprint arXiv:2110.13849, 2021 - arxiv.org
The paradigm of reservoir computing exploits the nonlinear dynamics of a physical reservoir
to perform complex time-series processing tasks such as speech recognition and …

Controlling chaotic maps using next-generation reservoir computing

RM Kent, WAS Barbosa, DJ Gauthier - Chaos: An Interdisciplinary …, 2024 - pubs.aip.org
In this work, we combine nonlinear system control techniques with next-generation reservoir
computing, a best-in-class machine learning approach for predicting the behavior of …

Reservoir computing with superconducting electronics

GE Rowlands, MH Nguyen, GJ Ribeill… - arXiv preprint arXiv …, 2021 - arxiv.org
The rapidity and low power consumption of superconducting electronics makes them an
ideal substrate for physical reservoir computing, which commandeers the computational …

Shallow univariate relu networks as splines: Initialization, loss surface, hessian, and gradient flow dynamics

J Sahs, R Pyle, A Damaraju, JO Caro… - Frontiers in artificial …, 2022 - frontiersin.org
Understanding the learning dynamics and inductive bias of neural networks (NNs) is
hindered by the opacity of the relationship between NN parameters and the function …

Learn one size to infer all: Exploiting translational symmetries in delay-dynamical and spatiotemporal systems using scalable neural networks

M Goldmann, CR Mirasso, I Fischer, MC Soriano - Physical Review E, 2022 - APS
We design scalable neural networks adapted to translational symmetries in dynamical
systems, capable of inferring untrained high-dimensional dynamics for different system …