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We attempt to achieve isochronal synchronization between a drive system unidirectionally coupled to a response system, under the assumption that limited knowledge on the states of the drive is available at the response. Machine learning…

Adaptation and Self-Organizing Systems · Physics 2023-10-17 Amirhossein Nazerian , Chad Nathe , Joseph D. Hart , Francesco Sorrentino

We present an experimental validation of a recently proposed optimization technique for reservoir computing, using an optoelectronic setup. Reservoir computing is a robust framework for signal processing applications, and the development of…

Emerging Technologies · Computer Science 2024-01-26 Enrico Picco , Lina Jaurigue , Kathy Lüdge , Serge Massar

Machine learning approaches have recently been leveraged as a substitute or an aid for physical/mathematical modeling approaches to dynamical systems. To develop an efficient machine learning method dedicated to modeling and prediction of…

Machine Learning · Computer Science 2022-08-01 Gouhei Tanaka , Tadayoshi Matsumori , Hiroaki Yoshida , Kazuyuki Aihara

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

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

We numerically study reservoir computing on a spin-torque oscillator (STO) array, describing the magnetization dynamics of the STO array by a nonlinear oscillator model. The STOs exhibit synchronized oscillation due to coupling by magnetic…

Mesoscale and Nanoscale Physics · Physics 2019-09-27 Taro Kanao , Hirofumi Suto , Koichi Mizushima , Hayato Goto , Tetsufumi Tanamoto , Tazumi Nagasawa

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

A reservoir computer (RC) is a type of simplified recurrent neural network architecture that has demonstrated success in the prediction of spatiotemporally chaotic dynamical systems. A further advantage of RC is that it reproduces intrinsic…

Neural and Evolutionary Computing · Computer Science 2022-01-25 Jason A. Platt , Stephen G. Penny , Timothy A. Smith , Tse-Chun Chen , Henry D. I. Abarbanel

We investigate a phase transition from linear to nonlinear information processing in echo state networks, a widely used framework in reservoir computing. The network consists of randomly connected recurrent nodes perturbed by a noise and…

Disordered Systems and Neural Networks · Physics 2025-11-25 Masaya Matsumura , Taiki Haga

Reservoir computing (RC) systems can efficiently forecast chaotic time series using nonlinear dynamical properties of an artificial neural network of random connections. The versatility of RC systems has motivated further research on both…

Neural and Evolutionary Computing · Computer Science 2024-02-07 Ivan S. Maksymov

Quantum transport simulations often use explicit, yet finite, electronic reservoirs. These should converge to the correct continuum limit, albeit with a trade-off between discretization and computational cost. Here, we study this interplay…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Justin E. Elenewski , Gabriela Wójtowicz , Marek M. Rams , Michael Zwolak

We propose a concept for reservoir computing on oscillators using the high-order synchronization effect. The reservoir output is presented in the form of oscillator synchronization metrics: fractional high-order synchronization value and…

Emerging Technologies · Computer Science 2020-06-08 A. A. Velichko , D. V. Ryabokon , S. D. Khanin , A. V. Sidorenko , A. G. Rikkiev

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

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

A natural hypothesis for the success of reservoir computing in generic tasks is the ability of the untrained reservoir to map different input time series to separable reservoir states - a property we term separation capacity. We provide a…

Machine Learning · Statistics 2025-03-24 Youness Boutaib

Reservoir Computing (RC) with physical systems requires an understanding of the underlying structure and internal dynamics of the specific physical reservoir. In this study, physical nano-electronic networks with neuromorphic dynamics are…

Emerging Technologies · Computer Science 2025-11-20 Yinhao Xu , Georg A. Gottwald , Zdenka Kuncic

This paper presents a stochastic logic time delay reservoir design. The reservoir is analyzed using a number of metrics, such as kernel quality, generalization rank, performance on simple benchmarks, and is also compared to a deterministic…

Machine Learning · Statistics 2017-02-15 Cory Merkel

Advances in artificial intelligence are driven by technologies inspired by the brain, but these technologies are orders of magnitude less powerful and energy efficient than biological systems. Inspired by the nonlinear dynamics of neural…

Stability of linear systems with uncertain bounded time-varying delays is studied under assumption that the nominal delay values are not equal to zero. An input-output approach to stability of such systems is known to be based on the bound…

Optimization and Control · Mathematics 2007-05-23 Eugenii Shustin , Emilia Fridman

Efficient and accurate prediction of physical systems is important even when the rules of those systems cannot be easily learned. Reservoir computing, a type of recurrent neural network with fixed nonlinear units, is one such prediction…

Neural and Evolutionary Computing · Computer Science 2024-08-20 Nicholas W. Landry , Beckett R. Hyde , Jake C. Perez , Sean E. Shaheen , Juan G. Restrepo
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