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The Construction and Approximation of a Class of Neural Networks Operators with Ramp Functions  ( SCI-EXPANDED收录)   被引量:31

文献类型:期刊文献

英文题名:The Construction and Approximation of a Class of Neural Networks Operators with Ramp Functions

作者:Chen, Zhixiang[2];Cao, Feilong[1]

机构:[1]China Jiliang Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China;[2]Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China

年份:2012

卷号:14

期号:1

起止页码:101

外文期刊名:JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS

收录:SCI-EXPANDED(收录号:WOS:000300529400009)、、Scopus(收录号:2-s2.0-84863018410)、WOS

基金:This research was supported by the National Natural Science Foundation of China (Nos. 90818020, 10871226)

语种:英文

外文关键词:neural network operators; modulus of continuity; order of approximation

外文摘要:Single hidden layer feedforward neural networks with ramp sigmoidal activation functions are constructed to approximate two-variable functions defined on compact interval. With the help of modulus of continuity and analysis techniques, two Jackson-type theorems are given respectively when the objective functions being continuous and having continuous partial derivatives of order N.

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