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
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
收藏
页码:5695 / 5713
页数:19
相关论文
共 50 条
  • [21] Self-Tuned Critical Anti-Hebbian Networks
    Magnasco, Marcelo O.
    Piro, Oreste
    Cecchi, Guillermo A.
    PHYSICAL REVIEW LETTERS, 2009, 102 (25)
  • [22] Receptive field map development by anti-Hebbian learning
    Andrade, MA
    Moran, F
    NEURAL NETWORKS, 1997, 10 (06) : 1037 - 1052
  • [23] Extended Anti-Hebbian adaptation for unsupervised source extraction
    Malouche, Z
    Macchi, O
    1996 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, CONFERENCE PROCEEDINGS, VOLS 1-6, 1996, : 1664 - 1667
  • [24] Analysis of an anti-Hebbian adaptive FIR filtering algorithm
    Douglas, SC
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1996, 43 (11): : 777 - 780
  • [25] Interchangeable Hebbian and Anti-Hebbian STDP Applied to Supervised Learning in Spiking Neural Network
    Chang, Che-Chia
    Chen, Pin-Chun
    Hudec, Boris
    Liu, Po-Tsun
    Hou, Tuo-Hung
    2018 IEEE INTERNATIONAL ELECTRON DEVICES MEETING (IEDM), 2018,
  • [26] Why Do Similarity Matching Objectives Lead to Hebbian/Anti-Hebbian Networks?
    Pehlevan, Cengiz
    Sengupta, Anirvan M.
    Chklovskii, Dmitri B.
    NEURAL COMPUTATION, 2018, 30 (01) : 84 - 124
  • [27] A simple Hebbian/anti-Hebbian network learns the sparse, independent components of natural images
    Falconbridge, Michael S.
    Stamps, Robert L.
    Badcock, David R.
    NEURAL COMPUTATION, 2006, 18 (02) : 415 - 429
  • [28] Analysis of the convergence and divergence of a constrained anti-Hebbian learning algorithm
    Choy, CST
    Siu, WC
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 1998, 45 (11) : 1494 - 1502
  • [29] Swarms on the 3-sphere with adaptive synapses: Hebbian and anti-Hebbian learning rule
    Crnkic, Aladin
    Jacimovic, Vladimir
    SYSTEMS & CONTROL LETTERS, 2018, 122 : 32 - 38
  • [30] Removing Time Variation with the Anti-Hebbian Differential Synapse
    Mitchison, Graeme
    NEURAL COMPUTATION, 1991, 3 (03) : 312 - 320