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Reservoir computing (RC) represents a class of state-space models (SSMs) characterized by a fixed state transition mechanism (the reservoir) and a flexible readout layer that maps from the state space. It is a paradigm of computational…

Machine Learning · Computer Science 2025-04-17 Pradeep Singh , Ashutosh Kumar , Sutirtha Ghosh , Hrishit B P , Balasubramanian Raman

Nonlinear and non-stationary processes are prevalent in various natural and physical phenomena, where system dynamics can change qualitatively due to bifurcation phenomena. Traditional machine learning methods have advanced our ability to…

Machine Learning · Statistics 2024-06-21 Keita Tokuda , Yuichi Katori

We show that connectivity within the high-dimensional recurrent layer of a reservoir network is crucial for its performance. To this end, we systematically investigate the impact of network connectivity on its performance, i.e., we examine…

Neural and Evolutionary Computing · Computer Science 2025-12-01 Shailendra K. Rathor , Martin Ziegler , Jörg Schumacher

Accumulating evidences show that the cerebral cortex is operating near a critical state featured by power-law size distribution of neural avalanche activities, yet evidence of this critical state in artificial neural networks mimicking the…

Neurons and Cognition · Quantitative Biology 2022-05-18 Liang Wang , Huawei Fan , Jinghua Xiao , Yueheng Lan , Xingang Wang

The development of alternative platforms for computing has been a longstanding goal for physics, and represents a particularly pressing concern as conventional transistors approach the limit of miniaturization. A potential alternatice…

Atomic Physics · Physics 2023-02-08 Gerard McCaul , Kurt Jacobs , Denys I. Bondar

Reservoir computing is a machine learning framework that uses artificial or physical dissipative dynamics to predict time-series data using nonlinearity and memory properties of dynamical systems. Quantum systems are considered as promising…

We introduce a novel class of untrained Recurrent Neural Networks (RNNs) within the Reservoir Computing (RC) paradigm, called Residual Reservoir Memory Networks (ResRMNs). ResRMN combines a linear memory reservoir with a non-linear…

Machine Learning · Computer Science 2026-02-02 Matteo Pinna , Andrea Ceni , Claudio Gallicchio

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…

Reservoir Computing is a class of Recurrent Neural Networks with internal weights fixed at random. Stability relates to the sensitivity of the network state to perturbations. It is an important property in Reservoir Computing as it directly…

Neural and Evolutionary Computing · Computer Science 2022-06-09 Jonathan Dong , Erik Börve , Mushegh Rafayelyan , Michael Unser

Photonic neuromorphic computing may offer promising applications for a broad range of photonic sensors, including optical fiber sensors, to enhance their functionality while avoiding loss of information, energy consumption, and latency due…

Photonic implementations of reservoir computing (RC) promise to reach ultra-high bandwidth of operation with moderate training efforts. Several optoelectronic demonstrations reported state of the art performances for hard tasks as speech…

Applied Physics · Physics 2021-08-19 Massimo Borghi , Stefano Biasi , Lorenzo Pavesi

Driven by the remarkable breakthroughs during the past decade, photonics neural networks have experienced a revival. Here, we provide a general overview of progress over the past decade, and sketch a roadmap of important future…

Emerging Technologies · Computer Science 2021-07-20 Daniel Brunner , Laurent Larger , Miguel C. Soriano

High-dimensional nonlinear dynamical systems including neural networks can be utilized as a computational resource for information processing. In this sense, nonlinear wave systems are good candidate for such a computational resource. Here,…

Applied Physics · Physics 2019-07-30 Satoshi Sunada , Atsushi Uchida

Several recent papers have shown that reservoir computers are useful for analyzing and predicting dynamical systems. Reservoir computers have also been shown to be useful for various classification problems. In this work, a reservoir…

Adaptation and Self-Organizing Systems · Physics 2018-11-14 Thomas L. Carroll

Typical mammal brains have some form of random connectivity between neurons. Reservoir computing, a neural network approach, uses random weights within its processing layer along with built-in recurrent connections and short-term, fading…

Disordered Systems and Neural Networks · Physics 2026-02-05 Joshua Donald , Ben A. Johnson , Amir Mehrnejat , Alex Gabbitas , Arthur G. T. Coveney , Alexander G. Balanov , Sergey Savel'ev , Pavel Borisov

Neural networks are currently transforming the field of computer algorithms, yet their emulation on current computing substrates is highly inefficient. Reservoir computing was successfully implemented on a large variety of substrates and…

Emerging Technologies · Computer Science 2019-08-07 Bogdan Penkovsky , Xavier Porte , Maxime Jacquot , Laurent Larger , Daniel Brunner

We introduce Residue Hyperdimensional Computing, a computing framework that unifies residue number systems with an algebra defined over random, high-dimensional vectors. We show how residue numbers can be represented as high-dimensional…

Neural and Evolutionary Computing · Computer Science 2023-11-09 Christopher J. Kymn , Denis Kleyko , E. Paxon Frady , Connor Bybee , Pentti Kanerva , Friedrich T. Sommer , Bruno A. Olshausen

Next generation reservoir computing based on nonlinear vector autoregression (NVAR) is applied to emulate simple dynamical system models and compared to numerical integration schemes such as Euler and the $2^\text{nd}$ order Runge-Kutta. It…

Machine Learning · Computer Science 2022-01-17 Tse-Chun Chen , Stephen G. Penny , Timothy A. Smith , Jason A. Platt

Animals often demonstrate a remarkable ability to adapt to their environments during their lifetime. They do so partly due to the evolution of morphological and neural structures. These structures capture features of environments shared…

Machine Learning · Computer Science 2024-01-30 Corentin Léger , Gautier Hamon , Eleni Nisioti , Xavier Hinaut , Clément Moulin-Frier

We study the problem of predicting rare critical transition events for a class of slow-fast nonlinear dynamical systems. The state of the system of interest is described by a slow process, whereas a faster process drives its evolution and…

Computational Physics · Physics 2020-12-14 Soon Hoe Lim , Ludovico Theo Giorgini , Woosok Moon , J. S. Wettlaufer
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