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

页码：1733 / 1740

页数：7

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