Storage capacity and errors of neural networks

被引:0
|
作者
Shubnikov, EI [1 ]
机构
[1] SI Vavilov State Opt Inst, St Petersburg, Russia
关键词
D O I
10.1364/JOT.67.000117
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
An estimate of the storage capacity of a neural network working with real images is obtained for neural networks based on correlation optics. It takes into account not only the number of neurons in the network, but also the structure of patterns in the form of the correlation radius of their images. Methods from the theory of statistical solutions and estimation theory are used to determine the errors of the first and second kinds, as well as the error in determining the coordinate of a pattern. The statistical variability of the input pattern, the correlation radius of the image, and the number of neurons and patterns in the memory are taken into account. (C) 2000 The Optical Society of America. [S1070-9762(00)00502-9].
引用
收藏
页码:117 / 122
页数:6
相关论文
共 50 条
  • [21] Phase diagram and storage capacity of sequence processing neural networks
    During, A
    Coolen, ACC
    Sherrington, D
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (43): : 8607 - 8621
  • [22] STORAGE CAPACITY OF NEURAL NETWORKS STORING SPATIALLY CORRELATED PATTERNS
    SCHLUTER, M
    WAGNER, F
    PHYSICAL REVIEW E, 1994, 49 (02): : 1690 - 1698
  • [23] Errors of neural networks
    Shubnikov, EI
    OPTICS AND SPECTROSCOPY, 2000, 88 (03) : 459 - 465
  • [24] Errors of neural networks
    E. I. Shubnikov
    Optics and Spectroscopy, 2000, 88 : 459 - 465
  • [25] THE SCIENCE OF MAKING ERRORS - WHAT ERROR TOLERANCE IMPLIES FOR CAPACITY IN NEURAL NETWORKS
    VENKATESH, SS
    IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING, 1992, 4 (02) : 135 - 144
  • [26] HIGH-ORDER NEURAL NETWORKS - INFORMATION-STORAGE WITHOUT ERRORS
    PERSONNAZ, L
    GUYON, I
    DREYFUS, G
    EUROPHYSICS LETTERS, 1987, 4 (08): : 863 - 867
  • [27] LONG-TERM-MEMORY STORAGE CAPACITY OF MULTICONNECTED NEURAL NETWORKS
    PERETTO, P
    NIEZ, JJ
    BIOLOGICAL CYBERNETICS, 1986, 54 (01) : 53 - 63
  • [28] STORAGE CAPACITY AND LEARNING ALGORITHMS FOR 2-LAYER NEURAL NETWORKS
    ENGEL, A
    KOHLER, HM
    TSCHEPKE, F
    VOLLMAYR, H
    ZIPPELIUS, A
    PHYSICAL REVIEW A, 1992, 45 (10): : 7590 - 7609
  • [29] Beyond the Maximum Storage Capacity Limit in Hopfield Recurrent Neural Networks
    Gosti, Giorgio
    Folli, Viola
    Leonetti, Marco
    Ruocco, Giancarlo
    ENTROPY, 2019, 21 (08)
  • [30] Dynamics and storage capacity of neural networks with small-world topology
    Scarpetta, Silvia
    De Candia, Antonio
    Giacco, Ferdinando
    NEURAL NETS WIRN10, 2011, 226 : 218 - 226