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Related papers: Towards a Calculus of Echo State Networks

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Reservoir computing is a well-established approach for processing data with a much lower complexity compared to traditional neural networks. Despite two decades of experimental progress, the core properties of reservoir computing (namely…

Optimization and Control · Mathematics 2026-03-20 Anh-Tuan Clabaut , Jean Auriol , Islam Boussaada , Guilherme Mazanti

The echo state property (ESP) represents a fundamental concept in the reservoir computing (RC) framework that ensures output-only training of reservoir networks by being agnostic to the initial states and far past inputs. However, the…

Quantum Physics · Physics 2024-09-04 Shumpei Kobayashi , Quoc Hoan Tran , Kohei Nakajima

Reservoir computing promises a fast method for handling large amounts of temporal data. This hinges on constructing a good reservoir--a dynamical system capable of transforming inputs into a high-dimensional representation while remembering…

Quantum Physics · Physics 2026-04-07 Utkarsh Singh , Aaron Z. Goldberg , Christoph Simon , Khabat Heshami

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

In this paper, the echo state network (ESN) memory capacity, which represents the amount of input data an ESN can store, is analyzed for a new type of deep ESNs. In particular, two deep ESN architectures are studied. First, a parallel deep…

Machine Learning · Computer Science 2019-08-21 Xuanlin Liu , Mingzhe Chen , Changchuan Yin , Walid Saad

Reservoir computing is a machine learning paradigm that uses a structure called a reservoir, which has nonlinearities and short-term memory. In recent years, reservoir computing has expanded to new functions such as the autonomous…

Machine Learning · Computer Science 2023-07-05 Kohei Tsuchiyama , André Röhm , Takatomo Mihana , Ryoichi Horisaki , Makoto Naruse

Reservoir computation models form a subclass of recurrent neural networks with fixed non-trainable input and dynamic coupling weights. Only the static readout from the state space (reservoir) is trainable, thus avoiding the known problems…

Neural and Evolutionary Computing · Computer Science 2024-06-06 Boyu Li , Robert Simon Fong , Peter Tiňo

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 is a bio-inspired computing paradigm for processing time dependent signals. The performance of its analogue implementation are comparable to other state of the art algorithms for tasks such as speech recognition or…

Emerging Technologies · Computer Science 2018-02-09 Piotr Antonik , François Duport , Michiel Hermans , Anteo Smerieri , Marc Haelterman , Serge Massar

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

Reservoir computing is a form of machine learning particularly suited for time series analysis, including forecasting predictions. We take an implementation of \emph{quantum} reservoir computing that was initially designed to generate…

Artificial Intelligence · Computer Science 2026-02-18 João S. Ferreira , Pierre Fromholz , Hari Shaji , James R. Wootton

Reservoir computing is a temporal information processing system that exploits artificial or physical dissipative dynamics to learn a dynamical system and generate the target time-series. This paper proposes the use of real superconducting…

Quantum Physics · Physics 2022-03-07 Yudai Suzuki , Qi Gao , Ken C. Pradel , Kenji Yasuoka , Naoki Yamamoto

Reservoir computing is an emerging, but very successful approach towards processing and classification of various signals. It can be described as a model of a transient computation, where influence of input changes internal dynamics of…

As we approach the physical limits of CMOS technology, advances in materials science and nanotechnology are making available a variety of unconventional computing substrates that can potentially replace top-down-designed silicon-based…

Emerging Technologies · Computer Science 2014-05-05 Alireza Goudarzi , Matthew R. Lakin , Darko Stefanovic

Recent advancements in reservoir computing research have created a demand for analog devices with dynamics that can facilitate the physical implementation of reservoirs, promising faster information processing while consuming less energy…

Reservoir computing (RC) is a computational framework known for its training efficiency, making it ideal for physical hardware implementations. However, realizing the complex interconnectivity of traditional reservoirs in physical systems…

Machine Learning · Computer Science 2026-04-14 Smita Deb , Shirin Panahi , Mulugeta Haile , Ying-Cheng Lai

Background/introduction: Cross-Validation (CV) is still uncommon in time series modeling. Echo State Networks (ESNs), as a prime example of Reservoir Computing (RC) models, are known for their fast and precise one-shot learning, that often…

Machine Learning · Computer Science 2021-03-05 Mantas Lukoševičius , Arnas Uselis

Scar theory is one of the fundamental pillars in the field of quantum chaos, and scarred functions a superb tool to carry out studies in it. Several methods, usually semiclassical, have been described to cope with these two phenomena. In…

Quantum Physics · Physics 2024-01-22 L. Domingo , J. Borondo , F. Borondo

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

Reservoir computing, a recurrent neural network paradigm in which only the output layer is trained, has demonstrated remarkable performance on tasks such as prediction and control of nonlinear systems. Recently, it was demonstrated that…

Machine Learning · Computer Science 2023-04-27 Joseph D. Hart , Francesco Sorrentino , Thomas L. Carroll