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We explore both analytically and numerically an ensemble of coupled phase-oscillators governed by a Kuramoto-type system of differential equations. However, we have included the effects of time-delay (due to finite signal-propagation…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 Liam Timms , Lars Q. English

Can a simple oscillator system, as in cellular automata, sustain complex nature upon discretization in time and space? The answer is by no means trivial as even the most simple, two-state, nearest neighbours cellular automata can lead to…

Pattern Formation and Solitons · Physics 2023-10-03 K. García Medina , E. Estevez-Rams , D. Kunka

Online reinforcement learning agents are currently able to process an increasing amount of data by converting it into a higher order value functions. This expansion of the information collected from the environment increases the agent's…

Machine Learning · Computer Science 2021-02-04 Mirza Ramicic , Andrea Bonarini

The brain can reproduce memories from partial data; this ability is critical for memory recall. The process of memory recall has been studied using auto-associative networks such as the Hopfield model. This kind of model reliably converges…

Neurons and Cognition · Quantitative Biology 2016-05-18 James P. Roach , Leonard M Sander , Michal R. Zochowski

Ising Machine is a promising computing approach for solving combinatorial optimization problems. It is naturally suited for energy-saving and compact in-memory computing implementations with emerging memories. A na\"ive in-memory computing…

Hardware Architecture · Computer Science 2024-01-30 George Higgins Hutchinson , Ethan Sifferman , Tinish Bhattacharya , Dmitri B. Strukov

Attractor neural network is an important theoretical scenario for modeling memory function in the hippocampus and in the cortex. In these models, memories are stored in the plastic recurrent connections of neural populations in the form of…

Neurons and Cognition · Quantitative Biology 2016-01-12 Alireza Alemi

Entropic uncertainty relations are universal quantifiers of fundamental uncertainties of quantum measurements and are widely discussed in the quantum metrology literature. Quantum memory is a phenomenon related to the specific type of…

Synchronization in networks of coupled oscillators is classically studied via the Kuramoto model, whose intrinsic nonlinearity limits analytical tractability and complicates control design. Complex-valued extensions circumvent this by…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Lorenzo Giordano , Josep M. Olm , Mario di Bernardo

Memristor networks are capable of low-power and massive parallel processing and information storage. Moreover, they have presented the ability to apply for a vast number of intelligent data analysis applications targeting mobile edge…

The dynamics of large systems of coupled oscillators is a subject of increasing importance with prominent applications in several areas such as physics and biology. The Kuramoto model, where a set of oscillators move around a circle…

Adaptation and Self-Organizing Systems · Physics 2021-11-24 Ana Elisa D. Barioni , Marcus A. M. de Aguiar

We present extensive simulations of a quantum version of the Hopfield Neural Network to explore its emergent behavior. The system is a network of $N$ qubits oscillating at a given $\Omega$ frequency and which are coupled via Lindblad jump…

Quantum Physics · Physics 2024-10-21 Joaquín J. Torres , Daniel Manzano

A recently proposed dimensional reduction approach for studying synchronization in the Kuramoto model is employed to build optimal network topologies to favor or to suppress synchronization. The approach is based in the introduction of a…

Adaptation and Self-Organizing Systems · Physics 2015-12-02 Rafael S. Pinto , Alberto Saa

We propose a self-organizing memory architecture for perceptual experience, capable of supporting autonomous learning and goal-directed problem solving in the absence of any prior information about the agent's environment. The architecture…

Artificial Intelligence · Computer Science 2015-02-24 Dan P. Guralnik , Daniel E. Koditschek

A family of stochastic processes has quasi-cycle oscillations if the oscillations are sustained by noise. For such a family we define a Kuramoto-type coupling of both phase and amplitude processes. We find that synchronization, as measured…

Dynamical Systems · Mathematics 2015-11-30 Priscilla E. Greenwood , Lawrence M. Ward

The activity of collections of synchronizing neurons can be represented by weakly coupled nonlinear phase oscillators satisfying Kuramoto's equations. In this article, we build such neural-oscillator models, partly based on…

Neurons and Cognition · Quantitative Biology 2012-04-27 Patrick Suppes , Jose Acacio de Barros , Gary Oas

Memory latency, bandwidth, capacity, and energy increasingly limit performance. In this paper, we reconsider proposed system architectures that consist of huge (many-terabyte to petabyte scale) memories shared among large numbers of CPUs.…

Hardware Architecture · Computer Science 2025-09-24 Samuel Dayo , Shuhan Liu , Peijing Li , Philip Levis , Subhasish Mitra , Thierry Tambe , David Tennenhouse , H. -S. Philip Wong

The brain must robustly store a large number of memories, corresponding to the many events encountered over a lifetime. However, the number of memory states in existing neural network models either grows weakly with network size or recall…

Neurons and Cognition · Quantitative Biology 2017-11-06 Rishidev Chaudhuri , Ila Fiete

We investigate how feature correlations influence the capacity of Dense Associative Memory (DAM), a Transformer attention-like model. Practical machine learning scenarios involve feature-correlated data and learn representations in the…

Machine Learning · Computer Science 2025-08-05 Stefan Bielmeier , Gerald Friedland

Attractor networks are an influential theory for memory storage in brain systems. This theory has recently been challenged by the observation of strong temporal variability in neuronal recordings during memory tasks. In this work, we study…

Neurons and Cognition · Quantitative Biology 2021-12-02 Ulises Pereira-Obilinovic , Johnatan Aljadeff , Nicolas Brunel

Exploring the spectrum of novel behaviors a physical system can produce can be a labor-intensive task. Active learning is a collection of iterative sampling techniques developed in response to this challenge. However, these techniques often…

Soft Condensed Matter · Physics 2023-08-03 Martin J. Falk , Finnegan D. Roach , William Gilpin , Arvind Murugan