Michał Adamaszek

activity

20062021

most citedThe Vietoris-Rips complexes of a circle

88 citations · 227 across the 22 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

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★ 12 cited

Metric reconstruction via optimal transport

Michal Adamaszek, Henry Adams, Florian Frick

Given a sample of points $X$ in a metric space $M$ and a scale $r > 0$ , the Vietoris-Rips simplicial complex $VR (X; r)$ is a standard construction to attempt to recover $M$ f…

math.GN2017★ 23 cited

On Vietoris-Rips complexes of ellipses

Michal Adamaszek, Henry Adams, Samadwara Reddy

For $X$ a metric space and $r > 0$ a scale parameter, the Vietoris-Rips complex $V R_{<} (X; r)$ (resp. $V R_{\leq} (X; r)$ ) has $X$ as its vertex set, and a finite subset $σ \subseteq X$ as a…