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Related papers: Chasing the Echo State Property

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Extremum seeking control (ESC) are optimization algorithms in continuous time, with model-based ESCs using true derivative information of the cost function and model-free ESCs utilizing perturbation-based estimates instead. Stability…

Optimization and Control · Mathematics 2025-07-22 Patrick McNamee , Zahra Nili Ahmadabadi , Mirslav Krstić

Reservoir observers provide a data-driven approach to the inference of unmeasured variables from observed ones for nonlinear dynamical systems. While previous studies have demonstrated wide applicability, their performance may vary…

Machine Learning · Computer Science 2026-04-13 Yichen Liu , Wei Xiao , Tianguang Chu

Reservoir Computing is an emerging machine learning framework which is a versatile option for utilising physical systems for computation. In this paper, we demonstrate how a single node reservoir, made of a simple electronic circuit, can be…

Machine Learning · Computer Science 2022-12-23 N. Rasha Shanaz , K. Murali , P. Muruganandam

Reservoir computing provides a time and cost-efficient alternative to traditional learning methods.Critical regimes, known as the "edge of chaos," have been found to optimize computational performance in binary neural networks. However,…

Neurons and Cognition · Quantitative Biology 2023-08-22 Emmanuel Calvet , Jean Rouat , Bertrand Reulet

Inference and forecast problems of the nonlinear dynamical system have arisen in a variety of contexts. Reservoir computing and deep sequential models, on the one hand, have demonstrated efficient, robust, and superior performance in…

Machine Learning · Statistics 2026-01-07 Ziyang Ding , Sayan Mukherjee

We identify a noise model that ensures the functioning of an echo state network employing a gate-based quantum computer for reservoir computing applications. Energy dissipation induced by amplitude damping drastically improves the…

Quantum Physics · Physics 2025-06-24 Francesco Monzani , Emanuele Ricci , Luca Nigro , Enrico Prati

Echo State Networks are efficient time-series predictors, which highly depend on the value of the spectral radius of the reservoir connectivity matrix. Based on recent results on the mean field theory of driven random recurrent neural…

Chaotic Dynamics · Physics 2015-05-26 Mathieu Galtier , Gilles Wainrib

Model Predictive Control (MPC) is a powerful control strategy; however, its reliance on online optimization poses significant challenges for implementation on systems with limited computational resources. One possible approach to address…

Optimization and Control · Mathematics 2025-02-19 Hassan Jafari Ozoumchelooei , Mehdi Hosseinzadeh

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

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

Echo State Networks (ESNs) are a class of single layer recurrent neural networks that have enjoyed recent attention. In this paper we prove that a suitable ESN, trained on a series of measurements of an invertible dynamical system, induces…

Chaotic Dynamics · Physics 2020-05-19 Allen G Hart , James L Hook , Jonathan H P Dawes

Memory-augmented neural networks equip a recurrent neural network with an explicit memory to support tasks that require information storage without interference over long times. A key motivation for such research is to perform classic…

Neural and Evolutionary Computing · Computer Science 2021-07-27 Benjamin Paaßen , Alexander Schulz , Barbara Hammer

Reservoir computing (RC), is a class of computational methods such as Echo State Networks (ESN) and Liquid State Machines (LSM) describe a generic method to perform pattern recognition and temporal analysis with any non-linear system. This…

Machine Learning · Computer Science 2024-11-19 Anmol Biswas , Sharvari Ashok Medhe , Raghav Singhal , Udayan Ganguly

This paper presents a method for reproducing a simple central pattern generator (CPG) using a modified Echo State Network (ESN). Conventionally, the dynamical reservoir needs to be damped to stabilize and preserve memory. However, we find…

Neural and Evolutionary Computing · Computer Science 2023-06-21 Tham Yik Foong , Danilo Vasconcellos Vargas

Recurrent neural networks are used to forecast time series in finance, climate, language, and from many other domains. Reservoir computers are a particularly easily trainable form of recurrent neural network. Recently, a "next-generation"…

Machine Learning · Computer Science 2023-03-28 Sarah E. Marzen , Paul M. Riechers , James P. Crutchfield

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

Measurements acquired from distributed physical systems are often sparse and noisy. Therefore, signal processing and system identification tools are required to mitigate noise effects and reconstruct unobserved dynamics from limited sensor…

Machine Learning · Computer Science 2025-09-08 Omid Sedehi , Manish Yadav , Merten Stender , Sebastian Oberst

In this paper, we present a neuro-inspired approach to reservoir computing (RC) in which a network of in vitro cultured cortical neurons serves as the physical reservoir. Rather than relying on artificial recurrent models to approximate…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Luca Ciampi , Ludovico Iannello , Fabrizio Tonelli , Gabriele Lagani , Angelo Di Garbo , Federico Cremisi , Giuseppe Amato

Nonlinear stochastic modeling is useful for describing complex engineering systems. Meanwhile, neuromorphic (brain-inspired) computing paradigms are developing to tackle tasks that are challenging and resource intensive on digital…

Systems and Control · Electrical Eng. & Systems 2021-08-19 J. Chen , H. I. Nurdin

Model Predictive Control (MPC) is widely used to achieve performance objectives, while enforcing operational and safety constraints. Despite its high performance, MPC often demands significant computational resources, making it challenging…

Optimization and Control · Mathematics 2025-01-24 Mohsen Amiri , Mehdi Hosseinzadeh