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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

Number-conserving cellular automata are discrete dynamical systems that simulate interacting particles like e.g. grains of sand. In an earlier paper, I had already derived a uniform construction for all transition rules of one-dimensional…

Cellular Automata and Lattice Gases · Physics 2025-06-02 Markus Redeker

In-materia reservoir computing (RC) leverages the intrinsic physical responses of functional materials to perform complex computational tasks. Magnetic metamaterials are exciting candidates for RC due to their huge state space, nonlinear…

Reservoir Computing (RC) is a simple and efficient model-free framework for forecasting the behavior of nonlinear dynamical systems from data. Here, we show that there exist commonly-studied systems for which leading RC frameworks struggle…

Machine Learning · Computer Science 2023-09-27 Yuanzhao Zhang , Sean P. Cornelius

In this paper, linear Cellular Automta (CA) rules are recursively generated using a binary tree rooted at "0". Some mathematical results on linear as well as non-linear CA rules are derived. Integers associated with linear CA rules are…

Cellular Automata and Lattice Gases · Physics 2012-09-04 Birendra Kumar Nayak , Sudhakar Sahoo , Sagarika Biswal

Tasks in which rewards depend upon past information not available in the current observation set can only be solved by agents that are equipped with short-term memory. Usual choices for memory modules include trainable recurrent hidden…

Machine Learning · Computer Science 2024-12-18 Kevin McKee

Reservoir Computing is an Unconventional Computation model to perform computation on various different substrates, such as recurrent neural networks or physical materials. The method takes a 'black-box' approach, training only the outputs…

Emerging Technologies · Computer Science 2025-03-03 Chester Wringe , Martin Trefzer , Susan Stepney

Cellular automata (CAs) and convolutional neural networks (CNNs) are closely related due to the local nature of information processing. The connection between these topics is beneficial to both related fields, for conceptual as well as…

Cellular Automata and Lattice Gases · Physics 2024-09-05 Michiel Rollier , Aisling J. Daly , Odemir M. Bruno , Jan M. Baetens

Reversible Cellular Automata (RCA) are a particular kind of shift-invariant transformations characterized by a dynamics composed only of disjoint cycles. They have many applications in the simulation of physical systems, cryptography and…

Neural and Evolutionary Computing · Computer Science 2021-05-26 Luca Mariot , Stjepan Picek , Domagoj Jakobovic , Alberto Leporati

Layered Cellular Automata (LCA) extends the concept of traditional cellular automata (CA) to model complex systems and phenomena. In LCA, each cell's next state is determined by the interaction of two layers of computation, allowing for…

Cellular Automata and Lattice Gases · Physics 2023-08-15 Abhishek Dalai

Reservoir Computing (RC) with physical systems requires an understanding of the underlying structure and internal dynamics of the specific physical reservoir. In this study, physical nano-electronic networks with neuromorphic dynamics are…

Emerging Technologies · Computer Science 2025-11-20 Yinhao Xu , Georg A. Gottwald , Zdenka Kuncic

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

A physical neural network (PNN) has both the strong potential to solve machine learning tasks and intrinsic physical properties, such as high-speed computation and energy efficiency. Reservoir computing (RC) is an excellent framework for…

Chaotic Dynamics · Physics 2024-12-18 Tomoyuki Kubota , Yusuke Imai , Sumito Tsunegi , Kohei Nakajima

Reservoir computers (RCs) are powerful machine learning architectures for time series prediction. Recently, next generation reservoir computers (NGRCs) have been introduced, offering distinct advantages over RCs, such as reduced…

Machine Learning · Computer Science 2024-06-07 Ravi Chepuri , Dael Amzalag , Thomas Antonsen , Michelle Girvan

Reservoir computers are a type of neuromorphic computer that may be built a an analog system, potentially creating powerful computers that are small, light and consume little power. Typically a reservoir computer is build by connecting…

Neural and Evolutionary Computing · Computer Science 2021-02-03 Thomas L. Carroll

Quantum reservoir computing (QRC) harnesses driven quantum dynamics for time-series processing, yet the mechanisms behind the differing performance levels across its many implementations remain unclear. We show that apparently unrelated…

Quantum Physics · Physics 2026-03-24 Saud Čindrak , Lara Giebeler , Niclas Götting , Christopher Gies , Kathy Lüdge

Forecasting chaotic systems is a notably complex task, which in recent years has been approached with reasonable success using reservoir computing (RC), a recurrent network with fixed random weights (the reservoir) used to extract the…

Various non-classical approaches of distributed information processing, such as neural networks, computation with Ising models, reservoir computing, vector symbolic architectures, and others, employ the principle of collective-state…

Neural and Evolutionary Computing · Computer Science 2022-09-02 Denis Kleyko , E. Paxon Frady , Friedrich T. Sommer

We prove the existence of a semilinear representation of Cellular Automata (CA) with the introduction of multiple convolution kernels. Examples of the technique are presented for rules akin to the "edge-of-chaos" including the Turing…

Artificial Intelligence · Computer Science 2018-06-21 Theophanes E. Raptis

Reservoir computing (RC) has attracted attention as an efficient recurrent neural network architecture due to its simplified training, requiring only its last perceptron readout layer to be trained. When implemented with memristors, RC…

Neural and Evolutionary Computing · Computer Science 2025-08-01 Rishona Daniels , Duna Wattad , Ronny Ronen , David Saad , Shahar Kvatinsky