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We review attempts that have been made towards understanding the computational properties and mechanisms of input-driven dynamical systems like RNNs, and reservoir computing networks in particular. We provide details on methods that have…

Neural and Evolutionary Computing · Computer Science 2014-01-10 Oliver Obst , Joschka Boedecker

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

Error-correcting codes are usually envisioned to counter errors by operating unitary corrections depending on the projective measurement results of some syndrome observables. We here propose a way to use them in a more integrated way, where…

Quantum Physics · Physics 2020-10-07 Vincent Martin , Alain Sarlette

This paper considers a time-varying optimization problem associated with a network of systems, with each of the systems shared by (and affecting) a number of individuals. The objective is to minimize cost functions associated with the…

Optimization and Control · Mathematics 2022-03-15 Ana M. Ospina , Andrea Simonetto , Emiliano Dall'Anese

Reservoir computing is a powerful framework for modeling dynamical systems due to its universality and computational efficiency. However, a major challenge is achieving a forecast with accurate long-time statistics, or climate, which is…

Chaotic Dynamics · Physics 2026-05-05 Akira Kawano , Ilia Soroka , Greg J. Stephens

Reservoir Computing is a relatively recent computational framework based on a large Recurrent Neural Network with fixed weights. Many physical implementations of Reservoir Computing have been proposed to improve speed and energy efficiency.…

Emerging Technologies · Computer Science 2019-09-10 Jonathan Dong , Mushegh Rafayelyan , Florent Krzakala , Sylvain Gigan

Quantum reservoir computing is a promising paradigm for processing temporal data. So far, the primary focus has been on univariate time series. However, the most relevant and complex real-world data is multidimensional. In this paper, we…

Quantum Physics · Physics 2026-04-10 Tobias Fellner , Jonas Merklinger , Christian Holm

Reservoir computing is a framework which is primarily used for temporal information processing, using the intrinsic dynamics of an underlying physical system. The framework, in a quantum setup, is implemented using ergodic dynamics…

Quantum Physics · Physics 2026-05-05 Gaurav Rudra Malik , Amit Kumar Jaiswal , S. Aravinda , Sunil Kumar Mishra

Reservoir computing is a promising approach for harnessing the computational power of recurrent neural networks while dramatically simplifying training. This paper investigates the application of integrate-and-fire neurons within reservoir…

Neural and Evolutionary Computing · Computer Science 2024-07-31 Samip Karki , Diego Chavez Arana , Andrew Sornborger , Francesco Caravelli

The prediction of complex nonlinear dynamical systems with the help of machine learning techniques has become increasingly popular. In particular, reservoir computing turned out to be a very promising approach especially for the…

Data Analysis, Statistics and Probability · Physics 2020-01-08 Alexander Haluszczynski , Christoph Räth

We propose a concept for reservoir computing on oscillators using the high-order synchronization effect. The reservoir output is presented in the form of oscillator synchronization metrics: fractional high-order synchronization value and…

Emerging Technologies · Computer Science 2020-06-08 A. A. Velichko , D. V. Ryabokon , S. D. Khanin , A. V. Sidorenko , A. G. Rikkiev

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…

Accumulating evidences show that the cerebral cortex is operating near a critical state featured by power-law size distribution of neural avalanche activities, yet evidence of this critical state in artificial neural networks mimicking the…

Neurons and Cognition · Quantitative Biology 2022-05-18 Liang Wang , Huawei Fan , Jinghua Xiao , Yueheng Lan , Xingang Wang

Due to rising electricity demand, accurate short-term load forecasting is increasingly important for grid stability and efficient energy management, particularly in resource-constrained edge settings. We present a hardware-efficient Quantum…

Emerging Technologies · Computer Science 2026-04-08 Param Pathak , Mansi Od , Nouhaila Innan , Muhammad Shafique

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

Reservoir computing has been shown to be a useful framework for predicting critical transitions of a dynamical system if the bifurcation parameter is also provided as an input. Its utility is significant because in real-world scenarios, the…

Adaptation and Self-Organizing Systems · Physics 2024-07-23 Dishant Sisodia , Sarika Jalan

Reservoir computing (RC) is a state-of-the-art machine learning method that makes use of the power of dynamical systems (the reservoir) for real-time inference. When using biological complex systems as reservoir substrates, it serves as a…

Adaptation and Self-Organizing Systems · Physics 2026-03-03 Mario U. Gaimann , Miriam Klopotek

Reservoir computing is a machine learning approach that can generate a surrogate model of a dynamical system. It can learn the underlying dynamical system using fewer trainable parameters and hence smaller training data sets than competing…

Machine Learning · Computer Science 2022-11-23 Daniel J. Gauthier , Ingo Fischer , André Röhm

Reservoir Computing is a machine learning approach that uses the rich repertoire of complex system dynamics for function approximation. Current approaches to reservoir computing use a network of coupled integrating neurons that require a…

Neural and Evolutionary Computing · Computer Science 2025-07-30 Alexander Yeung , Peter DelMastro , Arjun Karuvally , Hava Siegelmann , Edward Rietman , Hananel Hazan

In-materio computing exploits the intrinsic physical dynamics of materials to perform complex computations, enabling low-power, real-time data processing by embedding computation directly within physical layers. Here, we demonstrate a…