172 citations · 564 across the 31 of their papers we have counts for
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On Homotopy Types of Vietoris-Rips Complexes of Metric Gluings
Michal Adamaszek, Henry Adams, Ellen Gasparovic +6
We study Vietoris-Rips complexes of metric wedge sums and metric gluings. We show that the Vietoris-Rips complex of a wedge sum, equipped with a natural metric, is homotopy equival…
Metric thickenings of Euclidean submanifolds
Henry Adams, Joshua Mirth
Given a sample from an unknown manifold embedded in Euclidean space, it is possible to recover the homology groups of by building a Vietoris--Rips or Čech simplicial co…
Metric reconstruction via optimal transport
Michal Adamaszek, Henry Adams, Florian Frick
Given a sample of points in a metric space and a scale , the Vietoris-Rips simplicial complex is a standard construction to attempt to recover f…
On Vietoris-Rips complexes of ellipses
Michal Adamaszek, Henry Adams, Samadwara Reddy
For a metric space and a scale parameter, the Vietoris-Rips complex (resp. ) has as its vertex set, and a finite subset as a…