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math.AT2020
Fast Minimal Presentations of Bi-graded Persistence Modules
Michael Kerber, Alexander Rolle
Multi-parameter persistent homology is a recent branch of topological data analysis. In this area, data sets are investigated through the lens of homology with respect to two or mo…
math.ST2020
Stable and consistent density-based clustering via multiparameter persistence
Alexander Rolle, Luis Scoccola
We consider the degree-Rips construction from topological data analysis, which provides a density-sensitive, multiparameter hierarchical clustering algorithm. We analyze its stabil…