APPROXIMATION-THEORY AND FEEDFORWARD NETWORKS

被引:202
作者
BLUM, EK
LI, LK
机构
关键词
FEEDFORWARD NETWORKS; APPROXIMATION; 2-LAYER NETS; 3-LAYER NETS;
D O I
10.1016/0893-6080(91)90047-9
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Approximation of real functions by feedforward networks of the usual kind is shown to be based on the fundamental principle of approximation by piecewise-constant functions. This principle underlies a simple construction given for three-layer networks and suggests possible difficulties in determining two-layer networks.
引用
收藏
页码:511 / 515
页数:5
相关论文
共 12 条
  • [1] BLUM EK, 1972, NUMERICAL ANAL COMPU
  • [2] Cybenko G., 1989, Mathematics of Control, Signals, and Systems, V2, P303, DOI 10.1007/BF02551274
  • [3] DEFIGUEIREDO RJP, 1980, IEEE T AUTOMATIC CON, V25, P506
  • [4] ON THE APPROXIMATE REALIZATION OF CONTINUOUS-MAPPINGS BY NEURAL NETWORKS
    FUNAHASHI, K
    [J]. NEURAL NETWORKS, 1989, 2 (03) : 183 - 192
  • [5] MULTILAYER FEEDFORWARD NETWORKS ARE UNIVERSAL APPROXIMATORS
    HORNIK, K
    STINCHCOMBE, M
    WHITE, H
    [J]. NEURAL NETWORKS, 1989, 2 (05) : 359 - 366
  • [6] Kolmogorov A. N., 1961, AM MATH SOC TRANSL, V17, P369
  • [7] KOLMOGOROV AN, 1956, DOKL AKAD NAUK SSSR+, V108, P179
  • [8] LAPEDES A, 1987, NEURAL INFORMATION P, P442, DOI DOI 10.1142/9789814434102_0012
  • [9] LI LK, 1990, LEARNING APPLICATION
  • [10] Lippman R. P., 1987, IEEE ASSP MAGAZI APR, P4