Exponential convergence of the deep neural network approximation for analytic functions-Reference-Cited by-同舟云学术

Exponential convergence of the deep neural network approximation for analytic functions

Published:2018-09-06 Issue:10 Volume:61 Page:1733-1740
ISSN:1674-7283
Container-title:Science China Mathematics
language:en
Short-container-title:Sci. China Math.

Author:

E Weinan,Wang Qingcan

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/s11425-018-9387-x/fulltext.html

Reference8 articles.

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2. Cybenko G. Approximation by superpositions of a sigmoidal function. Math Control Signal Syst, 1989, 2: 303–314

3. Liang S, Srikant R. Why deep neural networks for function approximation? ArXiv:1610.04161, 2016

4. Lu Z, Pu H, Wang F, et al. The expressive power of neural networks: A view from the width. In: Advances in Neural Information Processing Systems, vol. 30. Long Beach: Neural Information Processing Systems Foundation, 2017, 6232–6240

5. Montanelli H, Du Q. Deep ReLU networks lessen the curse of dimensionality. ArXiv:1712.08688, 2017

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