activity
20182024
most citedVirtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces

16 citations · 41 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.AT2024

A Categorical Approach to Möbius Inversion via Derived Functors

Alex Elchesen, Amit Patel

We develop a cohomological approach to Möbius inversion using derived functors in the enriched categorical setting. For a poset and a closed symmetric monoidal abelian category…

math.MG2024

Relative Optimal Transport

Peter Bubenik, Alex Elchesen

We develop a theory of optimal transport relative to a distinguished subset, which acts as a reservoir of mass, allowing us to compare measures of different total variation. This r…