On the nonergodic dynamics of the Ising anti-Hebbian model

被引：1

作者：

Nokura, K ^{[1
]}

机构：

[1] Shonan Inst Technol, Fujisawa, Kanagawa 2518511, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 20期

关键词：

D O I：

10.1088/0305-4470/39/20/005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the nonergodic dynamics of the Ising spin anti-Hebbian model. The mean-field method for Glauber dynamics is reviewed in our context. The resulting one-site problem is described by the memory and noise term, which are expressed by the large-scale convolutions of correlation and response functions. These memory and noise terms are governed by the relation similar to the generalized fluctuation-dissipation relation of nonergodic dynamics. The results of replica method are recovered by studying the onset of very slow dynamics.

引用

页码：5695 / 5713

页数：19

共 50 条

[41] STORAGE OF A SENSORY PATTERN BY ANTI-HEBBIAN SYNAPTIC PLASTICITY IN AN ELECTRIC FISH
BELL, CC
CAPUTI, A
GRANT, K
SERRIER, J
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1993, 90 (10) : 4650 - 4654
[42] Coordinated drift of receptive fields in Hebbian/anti-Hebbian network models during noisy representation learning
Qin, Shanshan
Farashahi, Shiva
Lipshutz, David
Sengupta, Anirvan M. M.
Chklovskii, Dmitri B. B.
Pehlevan, Cengiz
NATURE NEUROSCIENCE, 2023, 26 (02) : 339 - +
[43] A hierarchical anti-Hebbian network model for the formation of spatial cells in three-dimensional space
Karthik Soman
Srinivasa Chakravarthy
Michael M. Yartsev
Nature Communications, 9
[44] Sensory expectations and anti-Hebbian synaptic plasticity in cerebellum-like structures
Grant, K
Bell, C
Han, V
JOURNAL OF PHYSIOLOGY-PARIS, 1996, 90 (3-4) : 233 - 237
[45] Observed Stent's anti-Hebbian Postulate on Dynamic Stochastic Computational Synapses
Fernando, Subha
Yamada, Koichi
Marasinghe, Ashu
2011 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2011, : 1336 - 1343
[46] Control of Shunt Custom Power Device Based on Anti-Hebbian Learning Algorithm
Arya, Sabha Raj
Singh, Bhim
Chandra, Ambrish
Al-Haddad, Kamal
38TH ANNUAL CONFERENCE ON IEEE INDUSTRIAL ELECTRONICS SOCIETY (IECON 2012), 2012, : 1246 - 1251
[47] A Hebbian/Anti-Hebbian Neural Network for Linear Subspace Learning: A Derivation from Multidimensional Scaling of Streaming Data
Pehlevan, Cengiz
Hu, Tao
Chklovskii, Dmitri B.
NEURAL COMPUTATION, 2015, 27 (07) : 1461 - 1495
[48] Hebbian and Anti-Hebbian Spike-Timing-Dependent Plasticity of Human Cortico-Cortical Connections
Koch, Giacomo
Ponzo, Viviana
Di Lorenzo, Francesco
Caltagirone, Carlo
Veniero, Domenica
JOURNAL OF NEUROSCIENCE, 2013, 33 (23): : 9725 - U418
[49] Anti-Hebbian spike-timing-dependent plasticity and adaptive sensory processing
Roberts, Patrick D.
Leen, Todd K.
FRONTIERS IN COMPUTATIONAL NEUROSCIENCE, 2010, 4
[50] Postsynaptic spiking determines anti-Hebbian LTD in visual cortex basket cells
Chou, Christina Y. C.
Droogers, Wouter J.
Lalanne, Txomin
Fineberg, Eric
Klimenko, Tal
Owens, Hannah
Sjostrom, P. Jesper
FRONTIERS IN SYNAPTIC NEUROSCIENCE, 2025, 17

← 1 2 3 4 5 →