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- W4384263456 abstract "We introduce and study a simple model capturing the main features of unbalanced optimal transport. It is based on equipping the conical extension of the group of all diffeomorphisms with a natural metric, which allows a Riemannian submersion to the space of volume forms of arbitrary total mass. We describe its finite-dimensional version and present a concise comparison study of the geometry, Hamiltonian features, and geodesics for this and other extensions. One of the corollaries of this approach is that along any geodesic the total mass evolves with constant acceleration, as an object's height in a constant buoyancy field." @default.
- W4384263456 created "2023-07-14" @default.
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- W4384263456 date "2023-07-11" @default.
- W4384263456 modified "2023-09-27" @default.
- W4384263456 title "Simple unbalanced optimal transport" @default.
- W4384263456 doi "https://doi.org/10.48550/arxiv.2307.05703" @default.
- W4384263456 hasPublicationYear "2023" @default.
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