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Characterization of local minima of the $1$ -Wasserstein population functional
Let $X_1,\ldots,X_m$ be persistence diagrams with only finitely many off-diagonal points. For a persistence diagram $Y$ , define … For each optimal pairing from $W=\{w_j\}$ to $X_i$ …
Conjectureopengeometric-statistics optimal-transport persistence-diagramsarXiv posted 2 days ago

Characterization of local minima of the 111-Wasserstein population functional