Cover Image

Dynamics of a random Hopfield neural lattice model with adaptive synapses and delayed Hebbian learning

UDC 517.9 A Dong–Hopfield neural lattice model with random external forcing and delayed response to the evolution of interconnection weights is developed and studied.&nbsp; &nbsp;The interconnection weights evolve according to the Hebbian learning rule with a decay term and contribut...

Full description

Saved in:

Bibliographic Details
Date:	2024
Main Authors:	Han, Xiaoying, Kloeden, Peter E.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2024
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7594
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Dynamics of a random Hopfield neural lattice model with adaptive synapses and delayed Hebbian learning
by: X. Han, et al.
Published: (2023)

Global robust exponential stability for Hopfield neural networks with non-Lipschitz activation functions
by: Hongtao Yu, et al.
Published: (2012)

The convergence of neurodynamics processes in the Hopfield model
by: A. V. Shatyrko, et al.
Published: (2017)

A Minimum Property for Cuboidal Lattice Sums
by: Cooper, Shaun, et al.
Published: (2025)

Neural network technologies to processing natural language texts in adaptive learning systems
by: I. M. Domanetska, et al.
Published: (2017)

A pool model of the mediator exocytosis into the synapse
by: O. M. Vasyliev, et al.
Published: (2019)

A pool model of the mediator exocytosis into the synapse
by: A. N. Vasilev, et al.
Published: (2019)

Neural networks’ learning process acceleration
by: Katerynych, L., et al.
Published: (2020)

Neural networks’ learning process acceleration
by: Katerynych, L., et al.
Published: (2020)

On application of lattice differential equations with delay for immunosensor modeling
by: V. P. Martsenjuk, et al.
Published: (2018)

Neural networks&#039; learning process acceleration
by: L. Katerynych, et al.
Published: (2020)

An exponential evaluation for recurrent neural network with discrete delays
by: V. P. Martseniuk, et al.
Published: (2019)

Model of the immunosensor on the basis of lattice differential equations with delay
by: V. P. Martseniuk, et al.
Published: (2018)

On excitation of oscillations in nonlinear systems with random delay
by: Kolomiets, V. G., et al.
Published: (1966)

Random covers of finite homogeneous lattices
by: Alekseychuk, A.N.
Published: (2006)

Structural and Parametric Synthesis of Deep Learning Neural Networks
by: V. M. Syniehlazov, et al.
Published: (2020)

Artificial Intelligence Systems in Adaptive Learning
by: V. Demianenko
Published: (2019)

WEAKLY UU RINGS
by: Peter Danchev,, et al.
Published: (2023)

APPLICATION OF DEEP LEARNING NEURAL NETWORK FOR CLASSIFICATION OF BIG DATA OF ASTRONOMIC OBSERVATIONS
by: Gorbunov, A. A., et al.
Published: (2017)

Self-learning neural network technologies in the systems of structural recognition of visual objects
by: Berestovskii, A. E., et al.
Published: (2015)

Application of Deep Learning Neural Network for Classification of Big Data of Astronomic Observations
by: A. A. Gorbunov, et al.
Published: (2017)

Approach to the study of global asymptotic stability of lattice differential equations with delay for modeling of immunosensors
by: V. P. Martsenjuk, et al.
Published: (2019)

Global exponential stability of a class of neural networks with unbounded delays
by: Tran Thi Loan, et al.
Published: (2008)

Global exponential stability of a class of neural networks with unbounded delays
by: Duong, Anh Tuan, et al.
Published: (2008)

Lattice dynamics of cryocrystals at high pressure
by: Horbenko, E.E., et al.
Published: (2007)

Evaluation of the Features Significance Based on Neural Networks in Tasks of the Analysis of the Distance Learning Quality
by: E. M. Filonenko, et al.
Published: (2018)

Recursive algorithms of adaptive lattice filters adjustment
by: D. I. Lekhovitskij, et al.
Published: (2016)

Two dimensional model of learning in spiking neural networks with homeostasis and reward
by: V. M. Osaulenko
Published: (2017)

Application of differential equations with time delay on a hexagonal lattice for immunosensor modeling
by: V. P. Martsenjuk, et al.
Published: (2019)

Adaptation and Learning in Some Classes of Identification and Control Systems
by: L. S. Zhiteckii, et al.
Published: (2015)

Чи деградують термоелектричні генераторні модулі внаслідок дифузії нікелю
by: Gorskyi, Peter
Published: (2023)

Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable
by: Rock, Peter
Published: (2024)

On strongly almost \(m\)-\(\omega_1\)-\(p^{\omega+n}\)-projective abelian \(p\)-groups
by: Danchev, Peter
Published: (2016)

Dynamics of Market Conditions with Continuous Delays in the
by: A. V. Voronin, et al.
Published: (2014)

Algorithm for identification of dynamic models with delay
by: N. L. Kostjan, et al.
Published: (2015)

Study of stochastic gradient methods for optimization of algorithms of learning artificial neural networks
by: T. A. Samoljuk
Published: (2017)

Characteristics of quantal release of glutamate and GABA in synapses between retinal ganglion cells and superior colliculus neurons in coculture
by: H. V. Dumanska, et al.
Published: (2014)

Adaptation of oscillatory systems in networks — a learning signal approach
by: Rodriguez, J.
Published: (2014)

Adaptation of oscillatory systems in networks — a learning signal approach
by: J. Rodriguez
Published: (2014)

Existence of the Category DTC₂(K) Equivalent to the Given Category KAC₂
by: Han, S.-E.
Published: (2015)