120 citations · 472 across the 33 of their papers we have counts for
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cs.CG2023
The Localized Union-of-Balls Bifiltration
Michael Kerber, Matthias Söls
We propose an extension of the classical union-of-balls filtration of persistent homology: fixing a point , we focus our attention to a ball centered at whose radius is cont…
math.AT2023
Decomposition of zero-dimensional persistence modules via rooted subsets
Ángel Javier Alonso, Michael Kerber
We study the decomposition of zero-dimensional persistence modules, viewed as functors valued in the category of vector spaces factorizing through sets. Instead of working directly…
cs.CG2023
Sparse Higher Order Čech Filtrations
Mickaël Buchet, Bianca B. Dornelas, Michael Kerber
For a finite set of balls of radius , the -fold cover is the space covered by at least balls. Fixing the ball centers and varying the radius, we obtain a nested sequence…