Lukas Koch

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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…

math.AP2025

Uniform large-scale $ε$ -regularity for entropic optimal transport

Rishabh S. Gvalani, Lukas Koch

We study the regularity properties of the minimisers of entropic optimal transport providing a natural analogue of the $ε$ -regularity theory of quadratic optimal transpor…

Sparsity and uniform regularity for regularised optimal transport

Uniform large-scale ε-regularity for entropic optimal transport

Uniform large-scale $ε$ -regularity for entropic optimal transport