Search Results for author: Michael Lesnick

Found 2 papers, 1 papers with code

The Universal $\ell^p$-Metric on Merge Trees

no code implementations22 Dec 2021 Robert Cardona, Justin Curry, Tung Lam, Michael Lesnick

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

Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology

1 code implementation15 Feb 2019 Michael Lesnick, Matthew Wright

Motivated by applications to topological data analysis, we give an efficient algorithm for computing a (minimal) presentation of a bigraded $K[x, y]$-module $M$, where $K$ is a field.

Algebraic Topology Symbolic Computation Commutative Algebra 55N31, 13D02

Cannot find the paper you are looking for? You can Submit a new open access paper.