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- W4281908781 abstract "In Khrulkov and Oseledets (2022) the authors conjecture that, by integrating the flow of the ODE given by the Wasserstein velocity in a Fokker–Planck equation, one obtains an optimal transport map. On the other hand this result was thought to be false in Kim and Milman (2012) but no proof was provided. In this note we show that the result claimed by Khrulkov and Oseledets cannot hold. This strengthens a counterexample which was built in Tanana (2021)." @default.
- W4281908781 created "2022-06-13" @default.
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- W4281908781 date "2022-11-01" @default.
- W4281908781 modified "2023-09-28" @default.
- W4281908781 title "The flow map of the Fokker–Planck equation does not provide optimal transport" @default.
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- W4281908781 doi "https://doi.org/10.1016/j.aml.2022.108225" @default.
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