M. Lesnick

activity

20082025

most citedThe Theory of the Interleaving Distance on Multidimensional Persistence Modules

214 citations · 626 across the 16 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

cs.CG2021

The Universal $ℓ^{p}$ -Metric on Merge Trees

Robert Cardona, Justin Curry, Tung Lam +1

Adapting a definition given by Bjerkevik and Lesnick for multiparameter persistence modules, we introduce an $ℓ^{p}$ -type extension of the interleaving distance on merge trees. We…

math.AT2021

$ℓ^{p}$ -Distances on Multiparameter Persistence Modules

Håvard Bakke Bjerkevik, Michael Lesnick

Motivated both by theoretical and practical considerations in topological data analysis, we generalize the $p$ -Wasserstein distance on barcodes to multiparameter persistence module…

cs.CG2021★ 1 cited

Computing the Multicover Bifiltration

René Corbet, Michael Kerber, Michael Lesnick +1

Given a finite set $A \subset R^{d}$ , let Cov $_{r, k}$ denote the set of all points within distance $r$ to at least $k$ points of $A$ . Allowing $r$ and $k$ to vary, we obtain a…

The Universal ℓp-Metric on Merge Trees

ℓp-Distances on Multiparameter Persistence Modules

Computing the Multicover Bifiltration

The Universal $ℓ^{p}$ -Metric on Merge Trees

$ℓ^{p}$ -Distances on Multiparameter Persistence Modules