107 citations · 416 across the 27 of their papers we have counts for
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cs.CG2018★ 21 cited
DTM-based Filtrations
Hirokazu Anai, Frédéric Chazal, Marc Glisse +4
Despite strong stability properties, the persistent homology of filtrations classically used in Topological Data Analysis, such as, e.g. the Cech or Vietoris-Rips filtrations, are…
cs.CG2018★ 22 cited
The density of expected persistence diagrams and its kernel based estimation
Frédéric Chazal, Vincent Divol
Persistence diagrams play a fundamental role in Topological Data Analysis where they are used as topological descriptors of filtrations built on top of data. They consist in discre…