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math.AP2026
Global regularity and sparsity for regularised optimal transport
Xiaopeng Cheng, Lukas Koch, Haotian Xiao
We study regularised optimal transport with subquadratic or entropic regularisation. Under -assumptions on the marginals and the domains of their support, we prove global…
math.AP2026
Sparsity and uniform regularity for regularised optimal transport
Rishabh S. Gvalani, Lukas Koch
We consider regularised quadratic optimal transport with subquadratic polynomial or entropic regularisation. In both cases, we prove interior Lipschitz-estimates on a transport-lik…