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The essential approximation order for neural networks with trigonometric hidden layer units

  • China Jiliang University
  • Xi'an Jiaotong University

科研成果: 书/报告/会议事项章节会议稿件同行评审

3 引用 (Scopus)

摘要

There have been various studies on approximation ability of feedforward neural networks. The existing studies are, however, only concerned with the density or upper bound estimation on how a multivariate function can be approximated by the networks, and consequently, the essential approximation ability of networks cannot be revealed. In this paper, by establishing both upper and lower bound estimations on approximation order, the essential approximation ability of a class of feedforward neural networks with trigonometric hidden layer units is clarified in terms of the second order modulus of smoothness of approximated function.

源语言英语
主期刊名Advances in Neural Networks - ISNN 2006
主期刊副标题Third International Symposium on Neural Networks, ISNN 2006, Proceedings
出版商Springer Verlag
72-79
页数8
ISBN(印刷版)354034439X, 9783540344391
DOI
出版状态已出版 - 2006
活动3rd International Symposium on Neural Networks, ISNN 2006 - Advances in Neural Networks - Chengdu, 中国
期限: 28 5月 20061 6月 2006

出版系列

姓名Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
3971 LNCS
ISSN(印刷版)0302-9743
ISSN(电子版)1611-3349

会议

会议3rd International Symposium on Neural Networks, ISNN 2006 - Advances in Neural Networks
国家/地区中国
Chengdu
时期28/05/061/06/06

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