Lipschitz neural networks are dense in the set of all Lipschitz functions
Stephan Eckstein · arXiv (Cornell University) · 2020
This note shows that, for a fixed Lipschitz constant $L > 0$, one layer neural networks that are $L$-Lipschitz are dense in the set of all $L$-Lipschitz functions with respect to the uniform norm on bounded sets.