5 citations · 6 across the 2 of their papers we have counts for
4 papers
Relative Interlevel Set Cohomology Categorifies Extended Persistence Diagrams
Ulrich Bauer, Benedikt Fluhr
The extended persistence diagram introduced by Cohen-Steiner, Edelsbrunner, and Harer is an invariant of real-valued continuous functions, which are -tame in the sense…
Tight quasi-universality of Reeb graph distances
Ulrich Bauer, Håvard Bakke Bjerkevik, Benedikt Fluhr
We establish tight bi-Lipschitz bounds certifying quasi-universality (universality up to a constant factor) for various distances between Reeb graphs: the interleaving distance, th…
Structure and Interleavings of Relative Interlevel Set Cohomology
Ulrich Bauer, Magnus Bakke Botnan, Benedikt Fluhr
The relative interlevel set cohomology (RISC) is an invariant of real-valued continuous functions closely related to the Mayer--Vietoris pyramid introduced by Carlsson, de Silva, a…
Universal Distances for Extended Persistence
Ulrich Bauer, Magnus Bakke Botnan, Benedikt Fluhr
The extended persistence diagram is an invariant of piecewise linear functions, which is known to be stable under perturbations of functions with respect to the bottleneck distance…