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We formulate, using the discrete nonlinear Schroedinger equation (DNLS), a general approach to encode and process information based on reservoir computing. Reservoir computing is a promising avenue for realizing neuromorphic computing…

Data Analysis, Statistics and Probability · Physics 2018-11-07 Simone Borlenghi , Magnus Boman , Anna Delin

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

The prediction of time series is a challenging task relevant in such diverse applications as analyzing financial data, forecasting flow dynamics or understanding biological processes. Especially chaotic time series that depend on a long…

Machine Learning · Computer Science 2024-12-06 Johannes Viehweg , Dominik Walther , Patrick Mäder

Reservoir Computing (RC) is a well-known strategy for designing Recurrent Neural Networks featured by striking efficiency of training. The crucial aspect of RC is to properly instantiate the hidden recurrent layer that serves as dynamical…

Machine Learning · Computer Science 2020-06-05 Claudio Gallicchio

Reservoir computing (RC), a neural network designed for temporal data, enables efficient computation with low-cost training and direct physical implementation. Recently, quantum RC has opened new possibilities for conventional RC and…

Mesoscale and Nanoscale Physics · Physics 2025-11-05 Yecheng Jing , Pengfei Wang , Shuai Zhang , Zhoujie Zeng , Shi-Jun Liang , Wei Chen

Conformal prediction offers a powerful framework for building distribution-free prediction intervals for exchangeable data. Existing methods that extend conformal prediction to sequential data rely on fitting a relatively complex model to…

Machine Learning · Computer Science 2026-03-03 Roberto Neglia , Andrea Cini , Michael M. Bronstein , Filippo Maria Bianchi

Complex nonlinear dynamics are ubiquitous in many fields. Moreover, we rarely have access to all of the relevant state variables governing the dynamics. Delay embedding allows us, in principle, to account for unobserved state variables.…

Machine Learning · Computer Science 2022-04-27 Uttam Bhat , Stephan B. Munch

An iterated multistep forecasting scheme based on recurrent neural networks (RNN) is proposed for the time series generated by causal chains with infinite memory. This forecasting strategy contains, as a particular case, the iterative…

Dynamical Systems · Mathematics 2025-03-21 Lyudmila Grigoryeva , James Louw , Juan-Pablo Ortega

Silicon microring resonators (MRRs) have shown strong potential in acting as the nonlinear nodes of photonic reservoir computing (RC) schemes. By using nonlinearities within a silicon MRR, such as the ones caused by free-carrier dispersion…

Neural and Evolutionary Computing · Computer Science 2024-06-05 Bernard J. Giron Castro , Christophe Peucheret , Francesco Da Ros

A new machine learning scheme, termed versatile reservoir computing, is proposed for sustaining the dynamics of heterogeneous complex networks. We show that a single, small-scale reservoir computer trained on time series from a subset of…

Chaotic Dynamics · Physics 2025-05-22 Yao Du , Huawei Fan , Xingang Wang

Reservoir computers (RC) have proven useful as surrogate models in forecasting and replicating systems of chaotic dynamics. The quality of surrogate models based on RCs is crucially dependent on their optimal implementation that involves…

Machine Learning · Computer Science 2022-12-19 Pauliina Kärkkäinen , Riku Linna

Physical Reservoir Computing (PRC) is an unconventional computing paradigm, which exploits nonlinear dynamics of reservoir blocks to perform recognition and classification tasks. Here we show with simulations that patterned thin films…

Mesoscale and Nanoscale Physics · Physics 2023-05-18 Md Mahadi Rajib , Walid Al Misba , Md. Fahim F. Chowdhury , Muhammad Sabbir Alam , Jayasimha Atulasimha

The Reservoir Computing (RC) paradigm posits that sufficiently complex physical systems can be used to massively simplify pattern recognition tasks and nonlinear signal prediction. This work demonstrates how random topological magnetic…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Daniele Pinna , George Bourianoff , Karin Everschor-Sitte

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

A machine-learning approach called "reservoir computing" has been used successfully for short-term prediction and attractor reconstruction of chaotic dynamical systems from time series data. We present a theoretical framework that describes…

Chaotic Dynamics · Physics 2018-08-01 Zhixin Lu , Brian R. Hunt , Edward Ott

Message passing is a core mechanism in Graph Neural Networks (GNNs), enabling the iterative update of node embeddings by aggregating information from neighboring nodes. Graph Convolutional Networks (GCNs) exemplify this approach by adapting…

Machine Learning · Computer Science 2026-03-26 Mayssa Soussia , Gita Ayu Salsabila , Mohamed Ali Mahjoub , Islem Rekik

Quantum reservoir computing is strongly emerging for sequential and time series data prediction in quantum machine learning. We make advancements to the quantum noise-induced reservoir, in which reservoir noise is used as a resource to…

Quantum Physics · Physics 2023-11-10 Daniel Fry , Amol Deshmukh , Samuel Yen-Chi Chen , Vladimir Rastunkov , Vanio Markov

Quantum Reservoir Computing (QRC) leverages quantum systems to perform complex computational tasks with exceptional efficiency and reduced energy consumption. We introduce a minimalistic QRC framework utilizing as few as five atoms in a…

Quantum Physics · Physics 2025-11-11 Chuanzhou Zhu , Peter J. Ehlers , Hendra I. Nurdin , Daniel Soh

We demonstrate a data-driven technique for adaptive control in dynamical systems that exploits the reservoir computing method. We show that a reservoir computer can be trained to predict a system parameter from the time series data.…

Classification of multivariate time series (MTS) has been tackled with a large variety of methodologies and applied to a wide range of scenarios. Reservoir Computing (RC) provides efficient tools to generate a vectorial, fixed-size…

Neural and Evolutionary Computing · Computer Science 2020-06-09 Filippo Maria Bianchi , Simone Scardapane , Sigurd Løkse , Robert Jenssen