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The study of many-body quantum systems out of equilibrium remains a significant challenge with complexity barriers arising in both state and operator-based representations. In this work, we review recent approaches based on finding better…

Reservoir Computing is a type of recursive neural network commonly used for recognizing and predicting spatio-temporal events relying on a complex hierarchy of nested feedback loops to generate a memory functionality. The Reservoir…

Mesoscale and Nanoscale Physics · Physics 2018-02-05 George Bourianoff , Daniele Pinna , Matthias Sitte , Karin Everschor-Sitte

Temporal-network models have provided key insights into how time-varying connectivity shapes dynamical processes such as spreading. Among them, the activity-driven model is a widely used, analytically tractable benchmark. Yet many temporal…

Physics and Society · Physics 2025-11-20 Zsófia Simon , Jari Saramäki

Large tensor (multi-dimensional array) data are now routinely collected in a wide range of applications, due to modern data collection capabilities. Often such observations are taken over time, forming tensor time series. In this paper we…

Methodology · Statistics 2020-05-20 Rong Chen , Dan Yang , Cun-hui Zhang

Learning to produce spatiotemporal sequences is a common task that the brain has to solve. The same neural substrate may be used by the brain to produce different sequential behaviours. The way the brain learns and encodes such tasks…

Neurons and Cognition · Quantitative Biology 2020-07-01 Amadeus Maes , Mauricio Barahona , Claudia Clopath

Long-term complex activity recognition and localisation can be crucial for decision making in autonomous systems such as smart cars and surgical robots. Here we address the problem via a novel deformable, spatiotemporal scene graph…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Salman Khan , Fabio Cuzzolin

This work concerns a many-body deterministic model that displays life-like properties as emergence, complexity, self-organization, spontaneous compartmentalization, and self-regulation. The model portraits the dynamics of an ensemble of…

Adaptation and Self-Organizing Systems · Physics 2023-07-11 Alessandro Scirè , Valerio Annovazzi-Lodi

We discuss computational superstructures that, using repeated, appropriately initialized short calls, enable temporal process simulators to perform alternative tasks such as fixed point computation, stability analysis and projective…

Optimization and Control · Mathematics 2025-10-20 C. I. Siettos , C. C. Pantelides , I. G. Kevrekidis

In this study, we investigate the continuous time dynamics of Recurrent Neural Networks (RNNs), focusing on systems with nonlinear activation functions. The objective of this work is to identify conditions under which RNNs exhibit perpetual…

Machine Learning · Computer Science 2025-04-22 Michele Casoni , Tommaso Guidi , Alessandro Betti , Stefano Melacci , Marco Gori

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

Recently we demonstrated experimentally that microwave oscillators based on the time delay feedback provided by traveling spin waves could operate as reservoir computers. In the present paper, we extend this concept by adding the feature of…

Applied Physics · Physics 2021-06-30 Stuart Watt , Mikhail Kostylev , Alexey B. Ustinov , Boris A. Kalinikos

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

Because organisms are able to sense its passage, it is perhaps tempting to treat time as a sensory modality, akin to vision or audition. Indeed, certain features of sensory estimation, such as Weber's law, apply to timing and sensation…

Neurons and Cognition · Quantitative Biology 2025-04-01 Caroline Haimerl , Filipe S. Rodrigues , Joseph J. Paton

Reservoir computing - information processing based on untrained recurrent neural networks with random connections - is expected to depend on the nonlinear properties of the neurons and the resulting oscillatory, chaotic, or fixpoint…

Neural and Evolutionary Computing · Computer Science 2024-11-18 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

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

Closure modeling - the statistical modeling of missing dynamics in the natural sciences and engineering - is a growing and active area of research. Existing methods for closure modeling are often computationally prohibitive, lack…

Methodology · Statistics 2025-11-27 Eric Crislip , Mohammad Khalil , Teresa Portone , Oksana Chkrebtii , Kyle Neal

Natural spatiotemporal processes can be highly non-stationary in many ways, e.g. the low-level non-stationarity such as spatial correlations or temporal dependencies of local pixel values; and the high-level variations such as the…

Machine Learning · Computer Science 2019-04-23 Yunbo Wang , Jianjin Zhang , Hongyu Zhu , Mingsheng Long , Jianmin Wang , Philip S Yu

The temporal activity of many biological systems, including neural circuits, exhibits fluctuations simultaneously varying over a large range of timescales. The mechanisms leading to this temporal heterogeneity are yet unknown. Here we show…

Disordered Systems and Neural Networks · Physics 2022-08-03 Merav Stern , Nicolae Istrate , Luca Mazzucato

Artificial Recurrent Neural Networks are a powerful information processing abstraction, and Reservoir Computing provides an efficient strategy to build robust implementations by projecting external inputs into high dimensional dynamical…

Machine Learning · Computer Science 2021-04-21 Claudio Gallicchio , Alessio Micheli , Luca Silvestri

Reservoir computing is a powerful tool to explain how the brain learns temporal sequences, such as movements, but existing learning schemes are either biologically implausible or too inefficient to explain animal performance. We show that a…

Neurons and Cognition · Quantitative Biology 2019-10-24 Roman Pogodin , Dane Corneil , Alexander Seeholzer , Joseph Heng , Wulfram Gerstner
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