Author

P. Milanfar

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Preprint Aug 2026

A Lagrangian View of Flow Matching

Modern explicit-time generative models, such as Flow Matching [Lipman et al., 2023] and Rectified Flow [Liu et al., 2023], are typically derived top-down via Optimal Transport and the continuity equation. This standard Eulerian approach focuses on the macroscopic transport of probability mass. In this paper, we present...

P. Milanfar · 0 citations