no code implementations • 5 Apr 2024 • Gavin Kerrigan, Giosue Migliorini, Padhraic Smyth
We study the geometry of conditional optimal transport (COT) and prove a dynamical formulation which generalizes the Benamou-Brenier Theorem.
no code implementations • 26 May 2023 • Gavin Kerrigan, Giosue Migliorini, Padhraic Smyth
We propose Functional Flow Matching (FFM), a function-space generative model that generalizes the recently-introduced Flow Matching model to operate in infinite-dimensional spaces.