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🏢 Université Paris-Saclay, Inria

Wasserstein convergence of Cech persistence diagrams for samplings of submanifolds
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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…