25 citations · 43 across the 9 of their papers we have counts for
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math.AT2019
Level-sets persistence and sheaf theory
Nicolas Berkouk, Grégory Ginot, Steve Oudot
In this paper we provide an explicit connection between level-sets persistence and derived sheaf theory over the real line. In particular we construct a functor from 2-parameter pe…
math.AT2019★ 25 cited
Ephemeral persistence modules and distance comparison
Nicolas Berkouk, Francois Petit
We provide a definition of ephemeral multi-persistent modules and prove that the quotient of persistent modules by the ephemeral ones is equivalent to the category of -sheaves.…
math.AT2019★ 2 cited
Stable resolutions of multi-parameter persistence modules
Nicolas Berkouk
The theory of persistence, which arises from topological data analysis, has been intensively studied in the one-parameter case both theoretically and in its applications. However,…