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Memristor-based oscillator is becoming promising thanks to its inherent NDR (Negative Differential Region) property and compact circuit structure. This paves the way to the large scale oscillatory neural network (ONN) and the realization of…

Emerging Technologies · Computer Science 2015-11-30 Hanyu Wang , Miao Qi , Bo Wang

This study investigates remote synchronization in arbitrary network clusters of coupled nonlinear oscillators, a phenomenon inspired by neural synchronization in the brain. Employing a multi-faceted approach encompassing analytical,…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Sanjeev Kumar Pandey , Neetish Patel

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

Optimization and Control · Mathematics 2012-09-07 Florian Dörfler , Francesco Bullo

Deep clustering - joint representation learning and latent space clustering - is a well studied problem especially in computer vision and text processing under the deep learning framework. While the representation learning is generally…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Bishwajit Saha , Dmitry Krotov , Mohammed J. Zaki , Parikshit Ram

This article delves into the Hopfield neural network model, drawing inspiration from biological neural systems. The exploration begins with an overview of the model's foundations, incorporating insights from mechanical statistics to deepen…

Disordered Systems and Neural Networks · Physics 2024-10-29 Matteo Silvestri

In this work, we consider a type of magnetic memory where information is encoded into the mutual arrangements of magnets. The device is an active ring circuit comprising magnetic and electronic parts connected in series. The electric part…

Applied Physics · Physics 2023-07-17 Mykhaylo Balynskyy , Alexander Khitun

We report a realization of an associative memory signal/information processing system based on simple enzyme-catalyzed biochemical reactions. Optically detected chemical output is always obtained in response to the triggering input, but the…

Molecular Networks · Quantitative Biology 2013-04-23 Vera Bocharova , Kevin MacVittie , Soujanya Chinnapareddy , Jan Halamek , Vladimir Privman , Evgeny Katz

Synchronization is studied in an array of identical linear oscillators of arbitrary order, coupled through a dynamic network comprising dissipative connectors (e.g., dampers) and restorative connectors (e.g., springs). The coupling network…

Dynamical Systems · Mathematics 2019-06-21 S. Emre Tuna

Coupled oscillators are being increasingly used as the basis of machine learning (ML) architectures, for instance in sequence modeling, graph representation learning and in physical neural networks that are used in analog ML devices. We…

Neural and Evolutionary Computing · Computer Science 2023-05-16 Samuel Lanthaler , T. Konstantin Rusch , Siddhartha Mishra

Applying convolutional neural networks to large images is computationally expensive because the amount of computation scales linearly with the number of image pixels. We present a novel recurrent neural network model that is capable of…

Machine Learning · Computer Science 2014-06-25 Volodymyr Mnih , Nicolas Heess , Alex Graves , Koray Kavukcuoglu

Pattern classification architectures leveraging the physics of coupled nano-oscillators have been demonstrated as promising alternative computing approaches, but lack effective learning algorithms. In this work, we propose a nano-oscillator…

Applied Physics · Physics 2018-10-17 Damir Vodenicarevic , Nicolas Locatelli , Julie Grollier , Damien Querlioz

Neural dynamical systems with stable attractor structures, such as point attractors and continuous attractors, are hypothesized to underlie meaningful temporal behavior that requires working memory. However, working memory may not support…

Neurons and Cognition · Quantitative Biology 2023-08-25 Il Memming Park , Ábel Ságodi , Piotr Aleksander Sokół

Neural coupling in both neuroscience and artificial intelligence emerges as dynamic oscillatory patterns that encode abstract concepts. To this end, we hypothesize that a deeper understanding of the neural mechanisms governing brain rhythms…

Neurons and Cognition · Quantitative Biology 2026-02-03 Tingting Dan , Jiaqi Ding , Guorong Wu

Dense Associative Memories or modern Hopfield networks permit storage and reliable retrieval of an exponentially large (in the dimension of feature space) number of memories. At the same time, their naive implementation is non-biological,…

Neurons and Cognition · Quantitative Biology 2021-04-29 Dmitry Krotov , John Hopfield

We propose and analyze an optically loaded quantum memory exploiting capacitive coupling between self-assembled quantum dot molecules and electrically gated quantum dot molecules. The self-assembled dots are used for spin-photon…

There is enormous interest -- both mathematically and in diverse applications -- in understanding the dynamics of coupled oscillator networks. The real-world motivation of such networks arises from studies of the brain, the heart, ecology,…

Dynamical Systems · Mathematics 2023-08-22 Stephen Coombes , Mustafa Sayli , Rüdiger Thul , Rachel Nicks , Mason A Porter , Yi Ming Lai

We propose a dynamical approach to quantum memories using a synchronous oscillator-cavity model, in which the coupling is shaped in time to provide the optimum interface to a symmetric input pulse. This overcomes the known difficulties of…

Quantum Physics · Physics 2014-05-09 Q. Y. He , M. D. Reid , P. D. Drummond

We analyze the interplay of synchronization and structure evolution in an evolving network of phase oscillators. An initially random network is adaptively rewired according to the dynamical coherence of the oscillators, in order to enhance…

Statistical Mechanics · Physics 2007-09-27 Pablo M. Gleiser , Damián H. Zanette

Associative Memories like the famous Hopfield Networks are elegant models for describing fully recurrent neural networks whose fundamental job is to store and retrieve information. In the past few years they experienced a surge of interest…

Machine Learning · Computer Science 2025-10-06 Dmitry Krotov , Benjamin Hoover , Parikshit Ram , Bao Pham

Recent advances in associative memory design through structured pattern sets and graph-based inference algorithms have allowed reliable learning and recall of an exponential number of patterns. Although these designs correct external errors…

Neural and Evolutionary Computing · Computer Science 2014-03-14 Amin Karbasi , Amir Hesam Salavati , Amin Shokrollahi , Lav R. Varshney