72 citations · 158 across the 24 of their papers we have counts for
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cs.CG2020★ 16 cited
Optimizing persistent homology based functions
Mathieu Carrière, Frédéric Chazal, Marc Glisse +2
Solving optimization tasks based on functions and losses with a topological flavor is a very active, growing field of research in data science and Topological Data Analysis, with a…
math.RT2020
Algebraic stability theorem for derived categories of zigzag persistence modules
Yasuaki Hiraoka, Yuichi Ike, Michio Yoshiwaki
We study distances on zigzag persistence modules from the viewpoint of derived categories and Auslander--Reiten quivers. The derived category of ordinary persistence modules is der…
math.SG2020★ 4 cited
Sheaf quantization and intersection of rational Lagrangian immersions
Tomohiro Asano, Yuichi Ike
We study rational Lagrangian immersions in a cotangent bundle, based on the microlocal theory of sheaves. We construct a sheaf quantization of a rational Lagrangian immersion and i…