Exponential convergence of the deep neural network approximation for analytic functions

被引:0
|
作者
Weinan E
Qingcan Wang
机构
[1] Princeton University,Department of Mathematics and PACM
[2] Peking University,Center for Big Data Research
[3] Beijing Institute of Big Data Research,Program in Applied and Computational Mathematics
[4] Princeton University,undefined
来源
Science China Mathematics | 2018年 / 61卷
关键词
neural networks; approximation theory; analytic functions; Primary 65D15; secondary 41-04;
D O I
暂无
中图分类号
学科分类号
摘要
We prove that for analytic functions in low dimension, the convergence rate of the deep neural network approximation is exponential.
引用
收藏
页码:1733 / 1740
页数:7
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