2 papers
math.AT2024
A Closed Formula for the Interleaving Distance of Rectangle Persistence Modules
Mehmet Ali Batan, Claudia Landi, Mehmetcik Pamuk
We give formulas for calculating the interleaving distance between rectangle persistence modules that depend solely on the geometry of the underlying rectangles. Moreover, we exten…
cs.CG2023
Switch Points of Bi-Persistence Matching Distance
Robyn Brooks, Celia Hacker, Claudia Landi +2
In multi-parameter persistence, the matching distance is defined as the supremum of weighted bottleneck distances on the barcodes given by the restriction of persistence modules to…