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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

Time delays increase the effective dimensionality of reservoirs, thus suggesting that time delays in reservoirs can enhance their performance, particularly their memory and prediction abilities. We find new closed-form expressions for…

Computational Physics · Physics 2026-01-09 Peyton Mullarkey , Sarah Marzen

We analyze the memory capacity of a delay based reservoir computer with a Hopf normal form as nonlinearity and numerically compute the linear as well as the higher order recall capabilities. A possible physical realisation could be a laser…

Emerging Technologies · Computer Science 2020-10-30 Felix Köster , Dominik Ehlert , Kathy Lüdge

Delay-based reservoir computing has gained a lot of attention due to the relative simplicity with which this concept can be implemented in hardware. However,there is still an misconception about the relationship between the delay-time and…

Computational Physics · Physics 2021-12-23 Tobias Hülser , Felix Köster , Lina Jaurigue , Kathy Lüdge

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

Reservoir computing is a well-established approach for processing data with a much lower complexity compared to traditional neural networks. Despite two decades of experimental progress, the core properties of reservoir computing (namely…

Optimization and Control · Mathematics 2026-03-20 Anh-Tuan Clabaut , Jean Auriol , Islam Boussaada , Guilherme Mazanti

Reservoir computing is a recently introduced, highly efficient bio-inspired approach for processing time dependent data. The basic scheme of reservoir computing consists of a non linear recurrent dynamical system coupled to a single input…

Emerging Technologies · Computer Science 2012-07-06 Yvan Paquot , François Duport , Anteo Smerieri , Joni Dambre , Benjamin Schrauwen , Marc Haelterman , Serge Massar

The Deep Time-Delay Reservoir Computing concept utilizes unidirectionally connected systems with time-delays for supervised learning. We present how the dynamical properties of a deep Ikeda-based reservoir are related to its memory capacity…

Adaptation and Self-Organizing Systems · Physics 2020-08-26 Mirko Goldmann , Felix Köster , Kathy Lüdge , Serhiy Yanchuk

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

Reservoir computing is a neural network approach for processing time-dependent signals that has seen rapid development in recent years. Physical implementations of the technique using optical reservoirs have demonstrated remarkable accuracy…

Machine Learning · Computer Science 2019-01-30 Daniel Canaday , Aaron Griffith , Daniel Gauthier

We present an experimental validation of a recently proposed optimization technique for reservoir computing, using an optoelectronic setup. Reservoir computing is a robust framework for signal processing applications, and the development of…

Emerging Technologies · Computer Science 2024-01-26 Enrico Picco , Lina Jaurigue , Kathy Lüdge , Serge Massar

We numerically investigate a time-delayed reservoir computer architecture based on a single mode laser diode with optical injection and optical feedback. Through a high-resolution parametric analysis, we reveal unforeseen regions of high…

Optics · Physics 2024-05-14 Lucas Oliverio , Damien Rontani , Marc Sciamanna

The reservoir computing scheme is a machine learning mechanism which utilizes the naturally occuring computational capabilities of dynamical systems. One important subset of systems that has proven powerful both in experiments and theory…

Neural and Evolutionary Computing · Computer Science 2021-08-09 André Röhm , Kathy Lüdge

We show that many delay-based reservoir computers considered in the literature can be characterized by a universal master memory function (MMF). Once computed for two independent parameters, this function provides linear memory capacity for…

Emerging Technologies · Computer Science 2021-08-31 Felix Köster , Serhiy Yanchuk , Kathy Lüdge

A reservoir computer is a way of using a high dimensional dynamical system for computation. One way to construct a reservoir computer is by connecting a set of nonlinear nodes into a network. Because the network creates feedback between…

Neural and Evolutionary Computing · Computer Science 2022-03-02 Thomas L. Carroll

This paper extends the notion of information processing capacity for non-independent input signals in the context of reservoir computing (RC). The presence of input autocorrelation makes worthwhile the treatment of forecasting and filtering…

Emerging Technologies · Computer Science 2015-10-08 Lyudmila Grigoryeva , Julie Henriques , Juan-Pablo Ortega

We demonstrate reservoir computing with a physical system using a single autonomous Boolean logic element with time-delay feedback. The system generates a chaotic transient with a window of consistency lasting between 30 and 300 ns, which…

Emerging Technologies · Computer Science 2016-02-09 Nicholas D. Haynes , Miguel C. Soriano , David P. Rosin , Ingo Fischer , Daniel J. Gauthier

Reservoir computing is a machine learning paradigm that uses a high-dimensional dynamical system, or \emph{reservoir}, to approximate and predict time series data. The scale, speed and power usage of reservoir computers could be enhanced by…

Neural and Evolutionary Computing · Computer Science 2022-11-16 Forrest C. Sheldon , Artemy Kolchinsky , Francesco Caravelli

This paper presents a stochastic logic time delay reservoir design. The reservoir is analyzed using a number of metrics, such as kernel quality, generalization rank, performance on simple benchmarks, and is also compared to a deterministic…

Machine Learning · Statistics 2017-02-15 Cory Merkel

A reservoir computer is a type of dynamical system arranged to do computation. Typically, a reservoir computer is constructed by connecting a large number of nonlinear nodes in a network that includes recurrent connections. In order to…

Neural and Evolutionary Computing · Computer Science 2024-06-19 Thomas L. Carroll , Joseph D. Hart
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