23 citations · 23 across the 3 of their papers we have counts for
3 papers
math.AT2024
Nerve Models of Subdivision Bifiltrations
Michael Lesnick, Kenneth McCabe
We study the size of Sheehy's subdivision bifiltrations, up to homotopy. We focus in particular on the subdivision-Rips bifiltration of a metric space , the on…
cs.CG2023
Delaunay Bifiltrations of Functions on Point Clouds
Ángel Javier Alonso, Michael Kerber, Tung Lam +1
The Delaunay filtration of a point cloud is a central tool of computational topology. Its use is justified by the topological equ…
math.AT2012★ 23 cited
Multidimensional Interleavings and Applications to Topological Inference
Michael Lesnick
This work concerns the theoretical foundations of persistence-based topological data analysis. We develop theory of topological inference in the multidimensional persistence settin…