CONVERGENCE TIME AND FINITE SIZE EFFECTS IN NEURAL NETWORKS

被引：25
|
作者：
KOHRING, GA
机构：
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 11期
关键词：
D O I：
10.1088/0305-4470/23/11/047
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The time needed for convergence to a stable state starting from an initial state having macroscopic overlap with a stored state is studied numerically for networks up to N=105 neurons. Although such systems are much larger than those traditionally used in studying neural networks, they are still too small to extract reliable information about the asymptotic behaviour of the convergence time.
引用
收藏
页码：2237 / 2241
页数：5
相关论文
共 50 条
  • [1] Finite size effects in neural networks
    Viana, L
    Castellanos, A
    Coolen, ACC
    FOUNDATIONS AND TOOLS FOR NEURAL MODELING, PROCEEDINGS, VOL I, 1999, 1606 : 393 - 400
  • [2] Robustness of convergence in finite time for linear programming neural networks
    Di Marco, M
    Forti, M
    Grazzini, M
    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2006, 34 (03) : 307 - 316
  • [3] A result on global convergence in finite time for nonsmooth neural networks
    Forti, M.
    Grazzini, M.
    Nistri, P.
    Pancioni, L.
    2006 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-11, PROCEEDINGS, 2006, : 759 - +
  • [4] Dynamic Finite Size Effects in Spiking Neural Networks
    Buice, Michael A.
    Chow, Carson C.
    PLOS COMPUTATIONAL BIOLOGY, 2013, 9 (01)
  • [5] Finite-size effects in separable recurrent neural networks
    Castellanos, A
    Coolen, ACC
    Viana, L
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (31): : 6615 - 6634
  • [6] Global exponential convergence and global convergence in finite time of non-autonomous discontinuous neural networks
    Zhenyuan Guo
    Lihong Huang
    Nonlinear Dynamics, 2009, 58 : 349 - 359
  • [7] Global exponential convergence and global convergence in finite time of non-autonomous discontinuous neural networks
    Guo, Zhenyuan
    Huang, Lihong
    NONLINEAR DYNAMICS, 2009, 58 (1-2) : 349 - 359
  • [8] Finite size scaling in neural networks
    Phys Rev Lett, 3 (555):
  • [9] Finite size scaling in neural networks
    Nadler, W
    Fink, W
    PHYSICAL REVIEW LETTERS, 1997, 78 (03) : 555 - 558
  • [10] Finite-size effects on the convergence time in continuous-opinion dynamics
    Jo, Hang-Hyun
    Masuda, Naoki
    PHYSICAL REVIEW E, 2021, 104 (01)
12345