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Exponential Convergence of the Deep Neural Network Approximation for Analytic Functions

Machine Learning 2018-07-03 v1 Machine Learning

Abstract

We prove that for analytic functions in low dimension, the convergence rate of the deep neural network approximation is exponential.

Keywords

Cite

@article{arxiv.1807.00297,
  title  = {Exponential Convergence of the Deep Neural Network Approximation for Analytic Functions},
  author = {Weinan E and Qingcan Wang},
  journal= {arXiv preprint arXiv:1807.00297},
  year   = {2018}
}
R2 v1 2026-06-23T02:47:14.459Z