87 citations · 317 across the 22 of their papers we have counts for
3 papers · 2 filters
Intrinsic Topological Transforms via the Distance Kernel Embedding
Clément Maria, Steve Oudot, Elchanan Solomon
Topological transforms are parametrized families of topological invariants, which, by analogy with transforms in signal processing, are much more discriminative than single measure…
A Framework for Differential Calculus on Persistence Barcodes
Jacob Leygonie, Steve Oudot, Ulrike Tillmann
We define notions of differentiability for maps from and to the space of persistence barcodes. Inspired by the theory of diffeological spaces, the proposed framework uses lifts to…
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…