A Closed Formula for the Interleaving Distance of Rectangle Persistence Modules
Algebraic Topology
2024-11-19 v2 Geometric Topology
Abstract
We give formulas for calculating the interleaving distance between rectangle persistence modules that depend solely on the geometry of the underlying rectangles. Moreover, we extend our results to calculate the bottleneck distance for rectangle decomposable persistence modules.
Keywords
Cite
@article{arxiv.2411.01430,
title = {A Closed Formula for the Interleaving Distance of Rectangle Persistence Modules},
author = {Mehmet Ali Batan and Claudia Landi and Mehmetcik Pamuk},
journal= {arXiv preprint arXiv:2411.01430},
year = {2024}
}
Comments
23 pages, all comments are welcome