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Dynamical systems can autonomously adapt their organization so that the required target dynamics is reproduced. In the previous Rapid Communication [Phys. Rev. E 90,030901(R) (2014)], it was shown how such systems can be designed using…

Adaptation and Self-Organizing Systems · Physics 2016-11-04 Pablo Kaluza , Alexander S. Mikhailov

Reservoir computing is a popular approach to design recurrent neural networks, due to its training simplicity and approximation performance. The recurrent part of these networks is not trained (e.g., via gradient descent), making them…

Neural and Evolutionary Computing · Computer Science 2021-02-15 Pietro Verzelli , Cesare Alippi , Lorenzo Livi , Peter Tino

Reservoir Computing with Cellular Automata (ReCA) is a relatively novel and promising approach. It consists of 3 steps: an encoding scheme to inject the problem into the CA, the CA iterations step itself and a simple classifying step,…

Neural and Evolutionary Computing · Computer Science 2024-07-16 Tom Glover , Evgeny Osipov , Stefano Nichele

We demonstrate that transformers obtain impressive performance even when some of the layers are randomly initialized and never updated. Inspired by old and well-established ideas in machine learning, we explore a variety of non-linear…

Computation and Language · Computer Science 2021-06-03 Sheng Shen , Alexei Baevski , Ari S. Morcos , Kurt Keutzer , Michael Auli , Douwe Kiela

Forecasting the behavior of high-dimensional dynamical systems using machine learning requires efficient methods to learn the underlying physical model. We demonstrate spatiotemporal chaos prediction using a machine learning architecture…

Machine Learning · Computer Science 2022-09-27 Wendson A. S. Barbosa , Daniel J. Gauthier

In this paper we develop a complete analytical framework based on Random Matrix Theory for the performance evaluation of Eigenvalue-based Detection. While, up to now, analysis was limited to false-alarm probability, we have obtained an…

Information Theory · Computer Science 2009-09-23 Federico Penna , Roberto Garello

Reservoir computing is a brain-inspired machine learning framework for processing temporal data by mapping inputs into high-dimensional spaces. Physical reservoir computers (PRCs) leverage native fading memory and nonlinearity in physical…

Emerging Technologies · Computer Science 2024-05-16 Ahmed S. Mohamed , Anurag Dhungel , Md Sakib Hasan , Joseph S. Najem

Time delay reservoir computing (TDRC) using semiconductor lasers (SLs) has proven to be a promising photonic analog approach for information processing. One appealing property is that SLs subject to delayed optical feedback and external…

Signal Processing · Electrical Eng. & Systems 2023-05-10 Irene Estebanez , Apostolos Argyris , Ingo Fischer

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

Recent theoretical developments of reservoir computing have clarified a sufficient condition about which reservoir computing can capture the dynamics of a target system, enabling the reconstruction of dynamical invariants. Even when the…

Chaotic Dynamics · Physics 2026-01-19 Miki U. Kobayashi , Kengo Nakai , Yoshitaka Saiki , Natsuki Tsutsumi

In-materio computing exploits the intrinsic physical dynamics of materials to perform complex computations, enabling low-power, real-time data processing by embedding computation directly within physical layers. Here, we demonstrate a…

Time delays are a common perturbation in systems with many states, such as networked, distributed, or decentralized systems. Current methods analyzing the stability of large systems with time delay typically produce very conservative…

Systems and Control · Computer Science 2017-10-31 George Armanious , Rick Lind

Biological neural networks can perform complex computations to predict their environment, far above the limited predictive capabilities of individual neurons. While conventional approaches to understanding these computations often focus on…

Neurons and Cognition · Quantitative Biology 2024-06-28 Hanna M. Tolle , Andrea I Luppi , Anil K. Seth , Pedro A. M. Mediano

Reservoir computing is a bio-inspired computing paradigm for processing time dependent signals. The performance of its analogue implementations matches other digital algorithms on a series of benchmark tasks. Their potential can be further…

Neural and Evolutionary Computing · Computer Science 2020-12-22 Piotr Antonik , Michiel Hermans , Marc Haelterman , Serge Massar

Transient stability assessment is a critical tool for power system design and operation. With the emerging advanced synchrophasor measurement techniques, machine learning methods are playing an increasingly important role in power system…

Systems and Control · Computer Science 2017-11-22 James J. Q. Yu , Albert Y. S. Lam , David J. Hill , Victor O. K. Li

Recent advances in quantum computing have demonstrated its potential to significantly enhance the analysis and forecasting of complex classical data. Among these, quantum reservoir computing has emerged as a particularly powerful approach,…

Quantum Physics · Physics 2026-04-10 Qingyu Li , Chiranjib Mukhopadhyay , Abolfazl Bayat , Ali Habibnia

After showing the efficiency of feedforward networks to estimate control in high dimension in the global optimization of some storages problems, we develop a modification of an algorithm based on some dynamic programming principle. We show…

Optimization and Control · Mathematics 2023-05-31 Xavier Warin

Real-world reinforcement learning applications are often hindered by delayed feedback from environments, which violates the Markov assumption and introduces significant challenges. Although numerous delay-compensating methods have been…

Machine Learning · Computer Science 2026-02-03 Jongsoo Lee , Jangwon Kim , Jiseok Jeong , Soohee Han

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

A minimal model for reservoir computing is studied. We demonstrate that a reservoir computer exists that emulates given coupled maps by constructing a modularized network. We describe a possible mechanism for collapses of the emulation in…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Yuzuru Sato , Miki Kobayashi
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