Heat kernel Sinkhorn algorithm on the 2-sphere converges to OT cost with O(n) memory and O(n^{3/2}) time per iteration, retaining geometric properties and applied to climate model evaluation.
Convergence rates for regularized unbalanced optimal transport: the discrete case
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The Benamou-Brenier formula holds for the Schrödinger problem on sub-Gaussian probability measures via PDE estimates on potentials and entropic interpolation.
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Spherical Harmonic Optimal Transport: Application to Climate Models Comparisons
Heat kernel Sinkhorn algorithm on the 2-sphere converges to OT cost with O(n) memory and O(n^{3/2}) time per iteration, retaining geometric properties and applied to climate model evaluation.
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A PDE approach to Benamou--Brenier formula for the Schr\"odinger problem
The Benamou-Brenier formula holds for the Schrödinger problem on sub-Gaussian probability measures via PDE estimates on potentials and entropic interpolation.