The ridge function representation of polynomials and an application to neural networks

被引：0
作者：
Ting Fan Xie
Fei Long Cao
机构：
[1] China Jiliang University,Department of Information and Mathematics Sciences
来源：
Acta Mathematica Sinica, English Series | 2011年 / 27卷
关键词：
Ridge function; neural network; polynomial; approximation; 41A05; 41A63;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The first goal of this paper is to establish some properties of the ridge function representation for multivariate polynomials, and the second one is to apply these results to the problem of approximation by neural networks. We find that for continuous functions, the rate of approximation obtained by a neural network with one hidden layer is no slower than that of an algebraic polynomial.
引用
收藏
页码：2169 / 2176
页数：7
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