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Memristive systems and devices are potentially available for implementing reservoir computing (RC) systems applied to pattern recognition. However, the computational ability of memristive RC systems depends on intertwined factors such as…

Emerging Technologies · Computer Science 2022-06-22 Gouhei Tanaka , Ryosho Nakane

Symmetric tensor operations arise in a wide variety of computations. However, the benefits of exploiting symmetry in order to reduce storage and computation is in conflict with a desire to simplify memory access patterns. In this paper, we…

Numerical Analysis · Mathematics 2014-10-21 Martin D. Schatz , Tze Meng Low , Robert A. van de Geijn , Tamara G. Kolda

In recent years, several algorithms, which approximate matrix decomposition, have been developed. These algorithms are based on metric conservation features for linear spaces of random projection types. We show that an i.i.d sub-Gaussian…

Numerical Analysis · Mathematics 2016-02-11 Yariv Aizenbud , Amir Averbuch

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

Much effort has been devoted in the last two decades to characterize the situations in which a reservoir computing system exhibits the so-called echo state (ESP) and fading memory (FMP) properties. These important features amount, in…

Neural and Evolutionary Computing · Computer Science 2019-03-25 Lyudmila Grigoryeva , Juan-Pablo Ortega

Long-term reservoir management often uses bounds on the reservoir level, between which the operator can work. However, these bounds are not always kept up-to-date with the latest knowledge about the reservoir drainage area, and thus become…

Optimization and Control · Mathematics 2018-01-29 Thibaut Cuvelier , Pierre Archambeau , Benjamin Dewals , Quentin Louveaux

In this study, we have shown autonomous long-term prediction with a spintronic physical reservoir. Due to the short-term memory property of the magnetization dynamics, non-linearity arises in the reservoir states which could be used for…

This paper introduces a novel approach to predicting periodic time series using reservoir computing. The model is tailored to deliver precise forecasts of rhythms, a crucial aspect for tasks such as generating musical rhythm. Leveraging…

Neural and Evolutionary Computing · Computer Science 2025-01-23 Zhongju Yuan , Geraint Wiggins , Dick Botteldooren

Scrambling quantum systems have attracted attention as effective substrates for temporal information processing. Here we consider a quantum reservoir processing framework that captures a broad range of physical computing models with quantum…

The rapid development of machine learning and quantum computing has placed quantum machine learning at the forefront of research. However, existing quantum machine learning algorithms based on quantum variational algorithms face challenges…

Quantum Physics · Physics 2025-08-22 Da Zhang , Xin Li , Yibin Guo , Haifeng Yu , Yirong Jin , Zhang-Qi Yin

Reservoir computers can be used to predict time series generated by spatio-temporal chaotic systems. Using multiple reservoirs in parallel has shown improved performances for these predictions, by effectively reducing the input…

Chaotic Dynamics · Physics 2025-11-13 Luk Fleddermann , Ulrich Parlitz , Gerrit Wellecke

Reservoir computers (RCs) provide a computationally efficient alternative to deep learning while also offering a framework for incorporating brain-inspired computational principles. By using an internal neural network with random, fixed…

Neural and Evolutionary Computing · Computer Science 2025-04-18 Keshav Srinivasan , Dietmar Plenz , Michelle Girvan

We study the dependence of the Valid Prediction Time (VPT) of Reservoir Computers (RCs) on hyperparameters including the regularization coefficient, reservoir size, and spectral radius. Under carefully chosen conditions, the RC can achieve…

Neural and Evolutionary Computing · Computer Science 2025-08-12 Lauren A Hurley , Sean E Shaheen

We analyze numerically the performance of Quantum Reservoir Computing (QRC) for statistical and financial problems. We use a reservoir composed of two superconducting islands coupled via their charge degrees of freedom. The key non-linear…

Quantum Physics · Physics 2026-02-18 J. J. Prieto-Garcia , A. G. del Pozo-Martín , M. Pino

Feedback-driven quantum reservoir computing has so far been studied primarily in gate-based architectures, motivating alternative scalable, hardware-friendly physical platforms. Here we investigate a linear-optical quantum reservoir…

Quantum Physics · Physics 2026-02-20 Çağın Ekici

Forecasting chaotic time series requires models that can capture the intrinsic geometry of the underlying attractor while remaining computationally efficient. We introduce a novel reservoir computing (RC) framework that integrates…

Neural and Evolutionary Computing · Computer Science 2025-11-06 S. K. Laha

In the current Noisy Intermediate Scale Quantum (NISQ) era, the presence of noise deteriorates the performance of quantum computing algorithms. Quantum Reservoir Computing (QRC) is a type of Quantum Machine Learning algorithm, which,…

Quantum Physics · Physics 2024-09-04 Osama Ahmed , Felix Tennie , Luca Magri

Reservoir computing is a recently introduced machine learning paradigm that has been shown to be well-suited for the processing of spatiotemporal data. Rather than training the network node connections and weights via backpropagation in…

Neural and Evolutionary Computing · Computer Science 2016-07-20 Ashley Prater

The capacity of a class of Interference Relay Channels (IRC) -the Injective Semideterministic IRC where the relay can only observe one of the sources- is investigated. We first derive a novel outer bound and two inner bounds which are based…

Information Theory · Computer Science 2016-09-28 Germán Bassi , Pablo Piantanida , Sheng Yang

We present the application of a fluctuating hydrodynamic theory to study current fluctuations in diffusive systems on a semi-infinite line in contact with a reservoir with slow coupling. We show that the distribution of the time-integrated…

Statistical Mechanics · Physics 2023-08-04 Soumyabrata Saha , Tridib Sadhu