A new Phi-match framework generalizes Sinkhorn and semi-dual gradient ascent for entropic OT, with O(1/N) and O(1/N^2) rates for several variants, plus a path-space Schrodinger bridge extension.
urich. Birkh\
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Designing Algorithms for Entropic Optimal Transport from an Optimisation Perspective
A new Phi-match framework generalizes Sinkhorn and semi-dual gradient ascent for entropic OT, with O(1/N) and O(1/N^2) rates for several variants, plus a path-space Schrodinger bridge extension.