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math.MG2026
Barycenters in Disintegrated optimal transport
Jun Kitagawa, Asuka Takatsu
We prove existence and duality on a wide class of metric spaces, and uniqueness results on any connected, complete Riemannian manifold, with or without boundary, for classical Mong…
math.MG2024
Disintegrated optimal transport for metric fiber bundles
Jun Kitagawa, Asuka Takatsu
We define a new two-parameter family of metrics on subsets of Borel probability measures on general metric fiber bundles, called the $ \textit{disintegrated Monge--Kantorovich metr…
math.MG2023
Sliced optimal transport: is it a suitable replacement?
Jun Kitagawa, Asuka Takatsu
We introduce a one-parameter family of metrics on the space of Borel probability measures on Euclidean space with finite th moment for , called the $\textit{sli…