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Limitations on approximation by deep and shallow neural networks.
- Source :
-
Journal of Machine Learning Research . 2023, Vol. 24, p1-38. 38p. - Publication Year :
- 2023
-
Abstract
- We prove Carl's type inequalities for the error of approximation of compact sets K by deep and shallow neural networks. This in turn gives estimates from below on how well we can approximate the functions in K when requiring the approximants to come from outputs of such networks. Our results are obtained as a byproduct of the study of the recently introduced Lipschitz widths. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ARTIFICIAL neural networks
*APPROXIMATION error
Subjects
Details
- Language :
- English
- ISSN :
- 15324435
- Volume :
- 24
- Database :
- Academic Search Index
- Journal :
- Journal of Machine Learning Research
- Publication Type :
- Academic Journal
- Accession number :
- 176355527