The Sparse Blume - Emery - Griffiths Model of Associative Memories

被引:0
|
作者
Heusel, J. [1 ]
Loewe, M. [1 ]
机构
[1] Univ Munster, Fachbereich Math & Informat, Einsteinstr 62, D-48149 Munster, Germany
关键词
Associative memory; storage capacity; sparse data; artificial intelligence; machine learning; exponential inequalities; negative association; STORAGE CAPACITY; NEURAL-NETWORKS; HOPFIELD MODEL; INFORMATION; RETRIEVAL; BOUNDS;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We analyze the Blume -Emery- Griffiths (BEG) associative memory with sparse patterns and at zero temperature. We give bounds on its storage capacity provided that we want the stored patterns to be fixed points of the retrieval dynamics. We compare our results to that of other models of sparse neural networks and show that the BEG model has a superior performance compared to them.
引用
收藏
页码:779 / 810
页数:32
相关论文
共 50 条
  • [41] REENTRANT PHASE-TRANSITIONS OF THE BLUME-EMERY-GRIFFITHS MODEL
    KASONO, K
    ONO, I
    ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1992, 88 (02): : 205 - 212
  • [42] Heterochirality in Langmuir monolayers and antiferromagnetic Blume-Emery-Griffiths model
    Pelizzola, A
    Pretti, M
    Scalas, E
    JOURNAL OF CHEMICAL PHYSICS, 2000, 112 (18): : 8126 - 8136
  • [43] The isotropic Blume-Emery-Griffiths model with four spin interactions
    Laaboudi, B
    Kerouad, M
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1996, 164 (1-2) : 128 - 132
  • [44] The ferrimagnetic phase of the Blume-Emery-Griffiths model on the cellular automaton
    Seferoglu, Nurguel
    Kutlu, Buelent
    CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2008, 6 (02): : 230 - 237
  • [45] The Blume-Emery-Griffiths Model with Competing Interactions on the Bethe Lattice
    Piccini, Pedro R. R.
    Nicolao, Lucas
    Tragtenberg, M. H. R.
    BRAZILIAN JOURNAL OF PHYSICS, 2023, 53 (04)
  • [46] Phase diagram for a frustrated disordered Blume-Emery-Griffiths model
    Puha, I
    Diep, HT
    Campbell, I
    JOURNAL OF APPLIED PHYSICS, 1999, 85 (08) : 6070 - 6072
  • [48] Mixing times for the Swapping Algorithm on the Blume-Emery-Griffiths model
    Ebbers, Mirko
    Knoepfel, Holger
    Loewe, Matthias
    Vermet, Franck
    RANDOM STRUCTURES & ALGORITHMS, 2014, 45 (01) : 38 - 77
  • [49] Dynamics and thermodynamics of the spherical frustrated Blume-Emery-Griffiths model
    Caiazzo, A
    Coniglio, A
    Nicodemi, M
    PHYSICAL REVIEW E, 2002, 66 (04): : 14 - 046101
  • [50] Ferrimagnetic phases of the Blume-Emery-Griffiths model and the Potts model on the diamond lattice
    Ni, J
    Gu, BL
    CHINESE PHYSICS, 2000, 9 (06): : 469 - 473