KOLMOGOROV THEOREM AND MULTILAYER NEURAL NETWORKS

被引：454

作者：

KURKOVA, V

机构：

来源：

NEURAL NETWORKS | 1992年 / 5卷 / 03期

关键词：

FEEDFORWARD NEURAL NETWORKS; MULTILAYER PERCEPTRON TYPE NETWORKS; SIGMOIDAL ACTIVATION FUNCTION; APPROXIMATIONS OF CONTINUOUS FUNCTIONS; UNIFORM APPROXIMATION; UNIVERSAL APPROXIMATION CAPABILITIES; ESTIMATES OF NUMBER OF HIDDEN UNITS; MODULUS OF CONTINUITY;

D O I：

10.1016/0893-6080(92)90012-8

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Taking advantage of techniques developed by Kolmogorov, we give a direct proof of the universal approximation capabilities of perceptron type networks with two hidden layers. From our proof we derive estimates of numbers of hidden units based on properties of the function being approximated and the accuracy of its approximation.;

引用

页码：501 / 506

页数：6

共 14 条

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