Dynamics of the two-layer pseudoinverse neural network

被引:0
|
作者
黎树军
黄五群
陈天仑
机构
[1] Department of Physics
[2] Nankai University
[3] China
[4] Tianjin 300071
基金
中国国家自然科学基金;
关键词
two-layer neural network; orthogonalized storage; signal-to-noise ratio; basin of attraction;
D O I
暂无
中图分类号
O59 [应用物理学];
学科分类号
0702 ;
摘要
People have made great progress in the field of artificial neural networks. Many neural network models were proposed and studied mainly by computer simulations, but the number of models with exactly soluble dynamics is up to now very limited. Explicit solutions for dynamics of the pseudoinverse neural network which is superior to the Hopfield model in both storage capacity and error-tolerance were presented by I. Kanter et al. with replica method. The layered pseudoinverse neural network model has also been solved on condition that the numbers of neurons and layers approach infirtity. However, it
引用
收藏
页码:1691 / 1694
页数:4
相关论文
共 50 条
  • [1] Dynamics of the two-layer pseudoinverse neural network
    Li, SJ
    Huang, WQ
    Chen, TL
    [J]. CHINESE SCIENCE BULLETIN, 1995, 40 (20): : 1691 - 1694
  • [2] Pyramidal neuron as two-layer neural network
    Poirazi, P
    Brannon, T
    Mel, BW
    [J]. NEURON, 2003, 37 (06) : 989 - 999
  • [3] Immunization dynamics on a two-layer network model
    Jo, HH
    Baek, SK
    Moon, HT
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 361 (02) : 534 - 542
  • [4] On the symmetries in the dynamics of wide two-layer neural networks
    Hajjar, Karl
    Chizat, Lenaic
    [J]. ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (04): : 2175 - 2212
  • [5] Propagating interfaces in a two-layer bistable neural network
    Kazantsev, V. B.
    Nekorkin, V. I.
    Morfu, S.
    Bilbault, J. M.
    Marquié, P.
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (03): : 589 - 600
  • [6] Generalization in a two-layer neural network with multiple outputs
    Kang, KJ
    Oh, JH
    Kwon, C
    Park, Y
    [J]. PHYSICAL REVIEW E, 1996, 54 (02): : 1811 - 1815
  • [7] Dynamics of a two-layer neuronal network with asymmetry in coupling
    Sriram, Sridevi
    Natiq, Hayder
    Rajagopal, Karthikeyan
    Krejcar, Ondrej
    Namazi, Hamidreza
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (02) : 2908 - 2919
  • [8] ANALYSIS OF A TWO-LAYER NEURAL NETWORK VIA DISPLACEMENT CONVEXITY
    Javanmard, Adel
    Mondelli, Marco
    Montanari, Andrea
    [J]. ANNALS OF STATISTICS, 2020, 48 (06): : 3619 - 3642
  • [9] On Endomorphisms of the Additive Monoid of Subnets of a Two-layer Neural Network
    Litavrin, Andrey, V
    [J]. BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS, 2022, 39 : 111 - 126
  • [10] A linear approach for sparse coding by a two-layer neural network
    Montalto, Alessandro
    Tessitore, Giovanni
    Prevete, Roberto
    [J]. NEUROCOMPUTING, 2015, 149 : 1315 - 1323