Search Results for author: Justin Curry

Found 3 papers, 2 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.

Discrete Morse theory for computing cellular sheaf cohomology

1 code implementation23 Dec 2013 Justin Curry, Robert Ghrist, Vidit Nanda

Sheaves and sheaf cohomology are powerful tools in computational topology, greatly generalizing persistent homology.

Algebraic Topology 55-04

Sheaves, Cosheaves and Applications

3 code implementations13 Mar 2013 Justin Curry

Inspired to provide fast algorithms for persistence, we prove that the derived category of cellular sheaves over a 1D cell complex is equivalent to a category of graded sheaves.

Algebraic Topology Representation Theory

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