120 citations · 472 across the 33 of their papers we have counts for
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math.AT2017★ 3 cited
The Representation Theorem of Persistent Homology Revisited and Generalized
René Corbet, Michael Kerber
The Representation Theorem by Zomorodian and Carlsson has been the starting point of the study of persistent homology under the lens of algebraic representation theory. In this wor…
cs.CG2017
Improved Approximate Rips Filtrations with Shifted Integer Lattices
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Rips complexes are important structures for analyzing topological features of metric spaces. Unfortunately, generating these complexes constitutes an expensive task because of a co…
math.AT2017
Barcodes of Towers and a Streaming Algorithm for Persistent Homology
Michael Kerber, Hannah Schreiber
A tower is a sequence of simplicial complexes connected by simplicial maps. We show how to compute a filtration, a sequence of nested simplicial complexes, with the same persistent…