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Forecasting nonlinear time series with multi-scale temporal structures remains a central challenge in complex systems modeling. We present a novel reservoir computing framework that combines delay embedding with random Fourier feature (RFF)…

Neural and Evolutionary Computing · Computer Science 2025-11-20 S. K. Laha

The paper presents a novel, principled approach to train recurrent neural networks from the Reservoir Computing family that are robust to missing part of the input features at prediction time. By building on the ensembling properties of…

Machine Learning · Computer Science 2017-05-09 Davide Bacciu , Francesco Crecchi , Davide Morelli

A reservoir computer is a complex nonlinear dynamical system that has been shown to be useful for solving certain problems, such as prediction of chaotic signals, speech recognition or control of robotic systems. Typically a reservoir…

Emerging Technologies · Computer Science 2019-08-30 Thomas L. Carroll , Louis M. Pecora

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

Reservoir computing (RC) is a machine learning algorithm that can learn complex time series from data very rapidly based on the use of high-dimensional dynamical systems, such as random networks of neurons, called "reservoirs." To implement…

Machine Learning · Computer Science 2020-12-29 Yusuke Sakemi , Kai Morino , Timothée Leleu , Kazuyuki Aihara

We show that recurrent quantum reservoir computers (QRCs) and their recurrence-free architectures (RF-QRCs) are robust tools for learning and forecasting chaotic dynamics from time-series data. First, we formulate and interpret quantum…

Quantum Physics · Physics 2025-06-30 Osama Ahmed , Felix Tennie , Luca Magri

Reservoir Computing (RC) is a simple and efficient model-free framework for forecasting the behavior of nonlinear dynamical systems from data. Here, we show that there exist commonly-studied systems for which leading RC frameworks struggle…

Machine Learning · Computer Science 2023-09-27 Yuanzhao Zhang , Sean P. Cornelius

Reservoir Computing (RC) refers to a Recurrent Neural Networks (RNNs) framework, frequently used for sequence learning and time series prediction. The RC system consists of a random fixed-weight RNN (the input-hidden reservoir layer) and a…

Machine Learning · Computer Science 2017-06-27 M. Andrecut

From logical reasoning to mental simulation, biological and artificial neural systems possess an incredible capacity for computation. Such neural computers offer a fundamentally novel computing paradigm by representing data continuously and…

Disordered Systems and Neural Networks · Physics 2022-03-11 Jason Z. Kim , Dani S. Bassett

Reservoir computing (RC) can efficiently process time-series data by transferring the input signal to randomly connected recurrent neural networks (RNNs), which are referred to as a reservoir. The high-dimensional representation of…

Machine Learning · Computer Science 2023-01-24 Yusuke Sakemi , Sou Nobukawa , Toshitaka Matsuki , Takashi Morie , Kazuyuki Aihara

Reservoir computing has proven effective for tasks such as time-series prediction, particularly in the context of chaotic systems. However, conventional reservoir computing frameworks often face challenges in achieving high prediction…

Chaotic Dynamics · Physics 2025-05-28 Felix Köster , Kazutaka Kanno , Atsushi Uchida

Quantum reservoir computing is a machine learning framework that offers ease of training compared to other quantum neural networks, as it does not rely on gradient-based optimization. Learning is performed in a single step on the output…

Quantum Physics · Physics 2026-02-04 Baptiste Carles , Julien Dudas , Léo Balembois , Julie Grollier , Danijela Marković

There is a growing interest in the development of artificial neural networks that are implemented in a physical system. A major challenge in this context is that these networks are difficult to train since training here would require a…

Emerging Technologies · Computer Science 2026-01-22 Michael te Vrugt

Reservoir computing systems, a class of recurrent neural networks, have recently been exploited for model-free, data-based prediction of the state evolution of a variety of chaotic dynamical systems. The prediction horizon demonstrated has…

Machine Learning · Computer Science 2020-04-06 Huawei Fan , Junjie Jiang , Chun Zhang , Xingang Wang , Ying-Cheng Lai

Controlling nonlinear dynamical systems using machine learning allows to not only drive systems into simple behavior like periodicity but also to more complex arbitrary dynamics. For this, it is crucial that a machine learning system can be…

Machine Learning · Computer Science 2023-07-17 Alexander Haluszczynski , Daniel Köglmayr , Christoph Räth

Reservoirs, typically implemented as recurrent neural networks with fixed random connection weights, can be combined with a simple trained readout layer to perform a wide range of computational tasks. However, increasing the magnitude of…

Neurons and Cognition · Quantitative Biology 2026-04-01 Claus Metzner , Achim Schilling , Andreas Maier , Thomas Kinfe , Patrick Krauss

Understanding the fundamental relationships between physics and its information-processing capability has been an active research topic for many years. Physical reservoir computing is a recently introduced framework that allows one to…

Adaptation and Self-Organizing Systems · Physics 2020-06-24 Kohei Nakajima

This work proposes a time series prediction method based on the kernel view of linear reservoirs. In particular, the time series motifs of the reservoir kernel are used as representational basis on which general readouts are constructed. We…

Machine Learning · Computer Science 2024-12-05 Peter Tino , Robert Simon Fong , Roberto Fabio Leonarduzzi

We propose a novel molecular computing approach based on reservoir computing. In reservoir computing, a dynamical core, called a reservoir, is perturbed with an external input signal while a readout layer maps the reservoir dynamics to a…

Neural and Evolutionary Computing · Computer Science 2019-11-12 Alireza Goudarzi , Matthew R. Lakin , Darko Stefanovic

This paper explores the conditions under which global contraction manifests in the leaky continuous time reservoirs, thus guaranteeing generalized synchronization. Results on continuous time reservoirs make use of the logarithmic norm of…

Chaotic Dynamics · Physics 2025-01-06 Adrian S. Wong , Robert S. Martin , Daniel Q. Eckhardt