4 papers
Bifunction and Interlevel Delaunay Trifiltrations
Ãngel Javier Alonso, Michael Kerber, Tung Lam +2
A key property of the Delaunay filtration is that it is topologically (i.e., weakly) equivalent to the offset (union-of-balls) filtration. Recently, this filtration has been extend…
Fast free resolutions of bifiltered chain complexes
Ulrich Bauer, Tamal K. Dey, Michael Kerber +2
In a -critical bifiltration, every simplex enters along a staircase with at most steps. Examples with include degree-Rips bifiltrations and models of the multicover bi…
Decomposing Multiparameter Persistence Modules
Tamal K. Dey, Jan Jendrysiak, Michael Kerber
Dey and Xin (J.Appl.Comput.Top., 2022, arXiv:1904.03766) describe an algorithm to decompose finitely presented multiparameter persistence modules using a matrix reduction algorithm…
Representing two-parameter persistence modules via graphcodes
Michael Kerber, Florian Russold
Graphcodes were recently introduced as a technique to employ two-parameter persistence modules in machine learning tasks (Kerber and Russold, NeurIPS 2024). We show in this work th…