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[WIP] Slicing UOT #765
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[WIP] Slicing UOT #765
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Types of changes
This PR aims at implementing the solver for 1D UOT with Frank-Wolfe (Faster Unbalanced Optimal Transport: Translation invariant Sinkhorn and 1-D Frank-Wolfe), as well as the Sliced Unbalanced OT and Unbalanced sliced OT distances (Slicing Unbalanced Optimal Transport).
Changes:
ot.solver_1d.emd_1d_dual
function to compute the dual potentials in 1D efficiently (still some bugs)ot.solver_1d.emd_1d_dual_backprop
function, which computes the dual potentials in 1D by using backpropagation over the 1D wasserstein distance (in pytorch and jax).ot.unbalanced._solver_1d.uot_1d
to compute the 1D UOT problems with Frank-Wolfeot.unbalanced._sliced.sliced_unbalanced_ot
to compute SUOTot.unbalanced._sliced.unbalanced_sliced_ot
to compute USOTMotivation and context / Related issue
These functions allow to compute unbalanced OT problems efficiently.
How has this been tested (if it applies)
It still needs to be properly tested.
PR checklist