论文标题
Lipschitz神经网络在所有Lipschitz功能的集合中都很稠密
Lipschitz neural networks are dense in the set of all Lipschitz functions
论文作者
论文摘要
本说明表明,对于固定的Lipschitz常数$ L> 0 $,一个$ l $ -lipschitz的一层神经网络在所有$ l $ -lipschitz功能相对于有限集的统一规范的集合中。
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.