BIRS Workshop Lecture Videos
Wasserstein distance for generalized persistence modules and abelian categories Scott, Jonathan
In persistence theory and practice, measuring distances between modules is central. The Wasserstein distances are the standard family of $L^p$ distances (with $1 \leq p \leq \infty$) for persistence modules. We give an algebraic formulation of these distances. For $p=1$ it generalizes to abelian categories and for arbitrary $p$ it generalizes to Krull-Schmidt categories. These distances may be useful for the computation of distance between generalized persistence modules. This is joint work with Peter Bubenik and Donald Stanley.
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