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Related papers: A Note on Noisy Reservoir Computation

200 papers

Recently, several powerful tools for the reconstruction of stochastic differential equations from measured data sets have been proposed [e.g. Siegert et al., Physics Letters A 243, 275 (1998); Hurn et al., Journal of Time Series Analysis…

Data Analysis, Statistics and Probability · Physics 2009-11-13 David Kleinhans , Rudolf Friedrich , Matthias Waechter , Joachim Peinke

Reservoir computing is a recently introduced brain-inspired machine learning paradigm capable of excellent performances in the processing of empirical data. We focus in a particular kind of time-delay based reservoir computers that have…

Dynamical Systems · Mathematics 2014-11-11 Lyudmila Grigoryeva , Julie Henriques , Laurent Larger , Juan-Pablo Ortega

Exploring nonlinear chemical dynamic systems for information processing has emerged as a frontier in chemical and computational research, seeking to replicate the brain's neuromorphic and dynamic functionalities. We have extensively…

Chemical Physics · Physics 2026-05-19 Zheyang Li , Xi Yu

We identify a hidden bottleneck in the information processing capacity of linear reservoir computers. When the measured features evolve linearly in the reservoir and the output is formed by linear readout with bias, we show that the…

Quantum Physics · Physics 2026-05-29 Johannes Nokkala , Federico Centrone , Francesco Arzani

Reservoir Computing is an emerging machine learning framework which is a versatile option for utilising physical systems for computation. In this paper, we demonstrate how a single node reservoir, made of a simple electronic circuit, can be…

Machine Learning · Computer Science 2022-12-23 N. Rasha Shanaz , K. Murali , P. Muruganandam

Reservoir computing is a form of machine learning that utilizes nonlinear dynamical systems to perform complex tasks in a cost-effective manner when compared to typical neural networks. Many recent advancements in reservoir computing, in…

Machine Learning · Computer Science 2025-04-03 Peter J. Ehlers , Hendra I. Nurdin , Daniel Soh

Reservoir computing with optical devices offers an energy-efficient approach for time-series forecasting. Quantum dot lasers with feedback are modelled in this paper to explore the extent to which increased complexity in the charge carrier…

Computational Physics · Physics 2024-11-05 Huifang Dong , Lina Jaurigue , Kathy Lüdge

This paper was presented in poster form at and in the proceedings of the QCMC 2008. It is a summary of a fuller paper to appear separately. The classical product state capacity of a noisy quantum channel with memory is investigated. A…

Quantum Physics · Physics 2012-08-16 I. Akhalwaya , J. Wouters , M. Fannes , F. Petruccione

The biggest challenge that quantum computing and quantum machine learning are currently facing is the presence of noise in quantum devices. As a result, big efforts have been put into correcting or mitigating the induced errors. But, can…

Quantum Physics · Physics 2023-06-09 L. Domingo , G. Carlo , F. Borondo

This paper presents an analysis of the concept of capacity for noisy computations, i.e. algorithms implemented by unreliable computing devices (e.g. noisy Turing Machines). The capacity of a noisy computation is defined and justified by…

Information Theory · Computer Science 2011-05-17 Francois Simon

Quantum reservoir computing offers a promising approach to the utilization of complex quantum dynamics in machine learning. Statistical noise inevitably arises in real settings of quantum reservoir computing (QRC) due to the practical…

Quantum Physics · Physics 2026-04-23 Youssef Kora , Christoph Simon

The possibility of stochastic resonance of a quantum channel and hence the noise enhanced capacity of the channel is explored by considering the depolarizing channel. The fidelity of the channel is also considered. Although there is no…

Statistical Mechanics · Physics 2007-05-23 Julian Juhi-Lian Ting

We propose a general framework, dubbed Stochastic Processing under Imperfect Information (SPII), to study the impact of information constraints and memories on dynamic resource allocation. The framework involves a Stochastic Processing…

Information Theory · Computer Science 2019-08-26 Kuang Xu , Yuan Zhong

The prediction of stochastic dynamical systems and the capture of dynamical behaviors are profound problems. In this article, we propose a data-driven framework combining Reservoir Computing and Normalizing Flow to study this issue, which…

Dynamical Systems · Mathematics 2023-08-01 Cheng Fang , Yubin Lu , Ting Gao , Jinqiao Duan

Reservoir computing(RC) is a brain-inspired computing framework that employs a transient dynamical system whose reaction to an input signal is transformed to a target output. One of the central problems in RC is to find a reliable reservoir…

Chaotic Dynamics · Physics 2020-08-26 Jaesung Choi , Pilwon Kim

The classical product state capacity of a noisy quantum channel with memory is investigated. A forgetful noise-memory channel is constructed by Markov switching between two depolarizing channels which introduces non-Markovian noise…

Quantum Physics · Physics 2009-06-23 Jeroen Wouters , Ismail Akhalwaya , Mark Fannes , Francesco Petruccione

Dissipation induced by interactions with an external environment typically hinders the performance of quantum computation, but in some cases can be turned out as a useful resource. We show the potential enhancement induced by dissipation in…

Departing from traditional communication theory where decoding algorithms are assumed to perform without error, a system where noise perturbs both computational devices and communication channels is considered here. This paper studies…

Information Theory · Computer Science 2010-05-31 Lav R. Varshney

While physical reservoir computing (PRC) is a promising way to achieve low power consumption neuromorphic computing, its computational performance is still insufficient at a practical level. One promising approach to improving PRC…

Applied Physics · Physics 2023-09-12 Daiki Nishioka , Takashi Tsuchiya , Masataka Imura , Yasuo Koide , Tohru Higuchi , Kazuya Terabe

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