David Cohen-Steiner

collaborators

2 papers

cs.CG2024

Wasserstein convergence of Äech persistence diagrams for samplings of submanifolds

Charles Arnal, David Cohen-Steiner, Vincent Divol

Äech Persistence diagrams (PDs) are topological descriptors routinely used to capture the geometry of complex datasets. They are commonly compared using the Wasserstein distances…

math.DG2024

Critical points of the distance function to a generic submanifold

Charles Arnal, David Cohen-Steiner, Vincent Divol

In general, the critical points of the distance function $d_{M}$ to a compact submanifold $M \subset R^{D}$ can be poorly behaved. In this article, we show…

Wasserstein convergence of Äech persistence diagrams for samplings of submanifolds

Critical points of the distance function to a generic submanifold

Wasserstein convergence of Äech persistence diagrams for samplings of submanifolds