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math.AT2026
Topological shape transform for thymus structures
Haochen Yang, Vadim Lebovici, Andreas Tarcevski +5
The Euler characteristic transform (ECT) is an emerging and powerful framework within topological data analysis for quantifying the geometry of shape. The applicability of ECT has…
math.AT2021★ 5 cited
Hybrid transforms of constructible functions
Vadim Lebovici
We introduce a general definition of hybrid transforms for constructible functions. These are integral transforms combining Lebesgue integration and Euler calculus. Lebesgue integr…
math.AT2020
On rectangle-decomposable 2-parameter persistence modules
Magnus Bakke Botnan, Vadim Lebovici, Steve Oudot
This paper addresses two questions: (a) can we identify a sensible class of 2-parameter persistence modules on which the rank invariant is complete? (b) can we determine efficientl…