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Devices based on arrays of interconnected magnetic nano-rings with emergent magnetization dynamics have recently been proposed for use in reservoir computing applications, but for them to be computationally useful it must be possible to…

In chaotic dynamical systems, extreme events manifest in time series as unpredictable large-amplitude peaks. Although deterministic, extreme events appear seemingly randomly, which makes their forecasting difficult. By learning the dynamics…

Quantum Physics · Physics 2024-10-29 Osama Ahmed , Felix Tennie , Luca Magri

Nonlinear photonic sources including semiconductor lasers have recently been utilized as ideal computation elements for information processing. They supply energy-efficient way and rich dynamics for classification and recognition tasks. In…

Optics · Physics 2023-06-27 T. Wang , C. Jiang , Q. Fang , X. Guo , Y. Zhang , C. Jin , S. Xiang

The dynamics of the tubular chemical reactor with mass recycle were examined. In such a system, temperature and concentrations may oscillate chaotically. This means that state variable values are then unpredictable. In this paper it has…

Dynamical Systems · Mathematics 2026-02-10 Marek Berezowski

Physical reservoir computing is a computational framework that implements spatiotemporal information processing directly within physical systems. By exciting nonlinear dynamical systems and creating linear models from their state, we can…

Machine Learning · Computer Science 2025-07-08 Jake Love , Jeroen Mulkers , Robin Msiska , George Bourianoff , Jonathan Leliaert , Karin Everschor-Sitte

Reservoir computing is a novel machine learning algorithm that uses a nonlinear dynamical system to efficiently learn complex temporal patterns from data. The objective of this thesis is to investigate the principles of reservoir computing…

Quantum Physics · Physics 2023-10-12 Laia Domingo

Efficiency and power are two central measures of the performance of thermal machines. We here study the power-efficiency-stability trade-off in a finite-time quantum Carnot information engine, in which an information reservoir replaces the…

Quantum Physics · Physics 2025-09-08 Milton Aguilar , Cüneyt Ünal , Eric Lutz

Edge computing is the practice of placing computing resources at the edges of the Internet in close proximity to devices and information sources. This, much like a cache on a CPU, increases bandwidth and reduces latency for applications but…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-01 Paul Wood , Heng Zhang , Muhammad-Bilal Siddiqui , Saurabh Bagchi

The combination of machine learning and quantum computing has emerged as a promising approach for addressing previously untenable problems. Reservoir computing is an efficient learning paradigm that utilizes nonlinear dynamical systems for…

Quantum Physics · Physics 2020-08-26 Jiayin Chen , Hendra I. Nurdin , Naoki Yamamoto

Reservoir computing is a very promising approach for the prediction of complex nonlinear dynamical systems. Besides capturing the exact short-term trajectories of nonlinear systems, it has also proved to reproduce its characteristic…

Data Analysis, Statistics and Probability · Physics 2020-06-19 Alexander Haluszczynski , Jonas Aumeier , Joschka Herteux , Christoph Räth

Self-adjusting, or adaptive systems have gathered much recent interest. We present a model for self-adjusting systems which treats the control parameters of the system as slowly varying, rather than constant. The dynamics of these…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Paul Melby , Jorg Kaidel , Nicholas Weber , Alfred Hubler

This paper addresses the reservoir design problem in the context of delay-based reservoir computers for multidimensional input signals, parallel architectures, and real-time multitasking. First, an approximating reservoir model is presented…

Neural and Evolutionary Computing · Computer Science 2015-10-15 Lyudmila Grigoryeva , Julie Henriques , Laurent Larger , Juan-Pablo Ortega

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

A reservoir computer is a complex dynamical system, often created by coupling nonlinear nodes in a network. The nodes are all driven by a common driving signal. In this work, three dimension estimation methods, false nearest neighbor,…

Adaptation and Self-Organizing Systems · Physics 2020-01-07 Thomas L. Carroll

We analyze the practices of reservoir computing in the framework of statistical learning theory. In particular, we derive finite sample upper bounds for the generalization error committed by specific families of reservoir computing systems…

Machine Learning · Computer Science 2019-10-31 Lukas Gonon , Lyudmila Grigoryeva , Juan-Pablo Ortega

Dynamics in biological networks are in general robust against several perturbations. We investigate a coupled map network as a model motivated by gene regulatory networks and design systems which are robust against phenotypic perturbations…

Molecular Networks · Quantitative Biology 2015-03-20 Nen Saito , Macoto Kikuchi

Making decisions freely presupposes that there is some indeterminacy in the environment and in the decision making engine. The former is reflected on the behavioral changes due to communicating: few changes indicate rigid environments;…

Artificial Intelligence · Computer Science 2020-09-23 Luis A. Pineda

Algorithmic stability is a central concept in statistics and learning theory that measures how sensitive an algorithm's output is to small changes in the training data. Stability plays a crucial role in understanding generalization,…

Statistics Theory · Mathematics 2026-01-21 Abhinav Chakraborty , Yuetian Luo , Rina Foygel Barber

Recent years have seen Kubernetes emerge as a primary choice for container orchestration. Kubernetes largely targets the cloud environment but new use cases require performant, available and scalable orchestration at the edge. Kubernetes…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-27 Andrew Jeffery , Heidi Howard , Richard Mortier

Quantum reservoir computing has emerged as a promising machine learning paradigm for processing temporal data on near-term quantum devices, as it allows for exploiting the large computational capacity of the qubits without suffering from…

Quantum Physics · Physics 2025-08-21 Emanuele Ricci , Francesco Monzani , Luca Nigro , Enrico Prati