Lipschitz neural networks are dense in the set of all Lipschitz functions
Machine Learning
2020-09-30 v1 Machine Learning
Numerical Analysis
Numerical Analysis
Abstract
This note shows that, for a fixed Lipschitz constant , one layer neural networks that are -Lipschitz are dense in the set of all -Lipschitz functions with respect to the uniform norm on bounded sets.
Cite
@article{arxiv.2009.13881,
title = {Lipschitz neural networks are dense in the set of all Lipschitz functions},
author = {Stephan Eckstein},
journal= {arXiv preprint arXiv:2009.13881},
year = {2020}
}
Comments
7 pages