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The current study uses a novel method of multilevel neurons and high order synchronization effects described by a family of special metrics, for pattern recognition in an oscillatory neural network (ONN). The output oscillator (neuron) of…

Emerging Technologies · Computer Science 2019-08-26 Andrei Velichko , Maksim Belyaev , Petr Boriskov

In the circuit of two thermally coupled VO2 oscillators, we studied a higher order synchronization effect, which can be used in object classification techniques to increase the number of possible synchronous states of the oscillator system.…

Neural and Evolutionary Computing · Computer Science 2020-07-30 Andrei Velichko , Vadim Putrolaynen , Maksim Belyaev

An open problem in neuroscience is to explain the functional role of oscillations in neural networks, contributing, for example, to perception, attention, and memory. Cross-frequency coupling (CFC) is associated with information integration…

Neurons and Cognition · Quantitative Biology 2022-04-18 Connor Bybee , Alexander Belsten , Friedrich T. Sommer

We study a simple extended model of oscillator neural networks capable of storing sparsely coded phase patterns, in which information is encoded both in the mean firing rate and in the timing of spikes. Applying the methods of statistical…

Disordered Systems and Neural Networks · Physics 2009-10-31 Masaki Nomura , Toshio Aoyagi

Oscillator neural networks (ONN) are a promising hardware option for artificial intelligence. With an abundance of theoretical treatments of ONNs, few experimental implementations exist to date. In contrast to prior publications of only…

Emerging Technologies · Computer Science 2019-10-28 D. E. Nikonov , P. Kurahashi , J. S. Ayers , H. -J. Lee , Y. Fan , I. A. Young

A coupled spintronic oscillator array has been considered attractive for neuromorphic computing applications. Experimental reports have shown the nano-constriction geometry to be a relatively easier-to-fabricate platform for implementing…

We study the dynamics of coupled oscillator networks with higher-order interactions and their ability to store information. In particular, the fixed points of these oscillator systems consist of two clusters of oscillators that become…

Adaptation and Self-Organizing Systems · Physics 2021-08-03 Per Sebastian Skardal , Alex Arenas

A coupled oscillator network may be able to perform an energy-efficient associative memory operation. However, its realization has been difficult because inhomogeneities unavoidably arise among the oscillators during fabrication and lead to…

Mesoscale and Nanoscale Physics · Physics 2024-04-01 Yusuke Imai , Tomohiro Taniguchi

Associative memory systems enable content-addressable storage and retrieval of patterns, a capability central to biological neural computation and artificial intelligence. Classical implementations such as Hopfield networks face fundamental…

Neural and Evolutionary Computing · Computer Science 2026-04-03 Arie Ogranovich , Taosha Guo , Arvind R. Venkatakrishnan , Madelyn Shapiro , Francesco Bullo , Fabio Pasqualetti

We study associative memory based on temporal coding in which successful retrieval is realized as an entrainment in a network of simple phase oscillators with distributed natural frequencies under the influence of white noise. The memory…

Disordered Systems and Neural Networks · Physics 2009-10-31 Masahiko Yoshioka , Masatoshi Shiino

Little is known theoretically about the associative memory capabilities of neural networks in which information is encoded not only in the mean firing rate but also in the timing of firings. Particularly, in the case that the fraction of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Toshio Aoyagi , Masaki Nomura

We demonstrate the utility of machine learning algorithms for the design of Oscillatory Neural Networks (ONNs). After constructing a circuit model of the oscillators in a machine-learning-enabled simulator and performing Backpropagation…

Disordered Systems and Neural Networks · Physics 2023-09-07 Tamas Rudner , Wolfgang Porod , Gyorgy Csaba

The slowing of Moore's law and the increasing energy demands of machine learning present critical challenges for both the hardware and machine learning communities, and drive the development of novel computing paradigms. Of particular…

Systems and Control · Electrical Eng. & Systems 2025-04-07 Taosha Guo , Arie Ogranovich , Arvind R. Venkatakrishnan , Madelyn R. Shapiro , Francesco Bullo , Fabio Pasqualetti

Associative memory models retrieve stored information through content-based addressing, mimicking the neural processes of animal brains. The classical Hopfield network-based models store memories as vectors of discrete values and have good…

Neurons and Cognition · Quantitative Biology 2026-01-21 Nurani Rajagopal Rohan , V. Srinivasa Chakravarthy , Sayan Gupta

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

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

We explore a prototype of an oscillatory neural network (ONN) based on vanadium dioxide switching devices. The model system under study represents two oscillators based on thermally coupled VO2 switches. Numerical simulation shows that the…

Neural and Evolutionary Computing · Computer Science 2020-01-07 Andrei Velichko , Maksim Belyaev , Vadim Putrolaynen , Valentin Perminov , Alexander Pergament

We study associative memory of an oscillator neural network with distributed native frequencies. The model is based on the use of the Hebb learning rule with random patterns ($\xi_i^{\mu}=\pm 1$), and the distribution function of native…

Disordered Systems and Neural Networks · Physics 2009-10-31 Michiko Yamana , Masatoshi Shiino , Masahiko Yoshioka

Networks of phase oscillators can serve as dense associative memories if they incorporate higher-order coupling beyond the classical Kuramoto model's pairwise interactions. Here we introduce a generalized Kuramoto model with combined…

Adaptation and Self-Organizing Systems · Physics 2025-07-30 Jona Nagerl , Natalia G. Berloff

Optical neural networks (ONNs) have demonstrated record-breaking potential in high-performance neuromorphic computing due to their ultra-high execution speed and low energy consumption. However, current learning protocols fail to provide…

Emerging Technologies · Computer Science 2021-09-07 Jiaqi Gu , Chenghao Feng , Zheng Zhao , Zhoufeng Ying , Ray T. Chen , David Z. Pan
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