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 rate of general entropic optimal transport costs.Calculus of Variations and Partial Differential Equations, 62(4):116, 2023
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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.