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.
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页码：1733 / 1740
页数：7
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