🏢 Université Paris-Saclay, Inria
Wasserstein convergence of Cech persistence diagrams for samplings of submanifolds
·1477 words·7 mins·
loading
·
loading
AI Theory
Representation Learning
🏢 Université Paris-Saclay, Inria
This paper proves that Čech persistence diagrams converge to the true underlying shape precisely when using Wasserstein distances with p > m, where m is the submanifold dimension, significantly advanc…