72 citations · 158 across the 24 of their papers we have counts for
3 papers · 1 filter
The -support as a micro-support
Tomohiro Asano, Stéphane Guillermou, Vincent Humilière +2
We prove that for any element in the completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle equipped with the spectral distance, the -…
RipsNet: a general architecture for fast and robust estimation of the persistent homology of point clouds
Thibault de Surrel, Felix Hensel, Mathieu Carrière +5
The use of topological descriptors in modern machine learning applications, such as Persistence Diagrams (PDs) arising from Topological Data Analysis (TDA), has shown great potenti…
Completeness of derived interleaving distances and sheaf quantization of non-smooth objects
Tomohiro Asano, Yuichi Ike
We develop sheaf-theoretic methods to deal with non-smooth objects in symplectic geometry. We show the completeness of a derived category of sheaves with respect to the interleavin…