Benamou--Brenier
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Continuum-marginal optimal transport: a mesh-free kernel method
arXiv:2604.24226v2 Announce Type: replace-cross Abstract: In this paper we study continuum-marginal optimal transport. Given a time-continuous family of probability marginals, the problem is to recover the minimum-energy velocity field whose flow reproduces every marginal. This problem is the continuum limit of the classical two-marginal Benamou--Brenier formulation, and also the deterministic limit of the Nelson problem of stochastic optimal transport.