172 citations · 564 across the 31 of their papers we have counts for
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math.MG2017★ 12 cited
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…
math.MG2017★ 10 cited
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…
math.MG2017★ 12 cited
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…