Proves quantitative approximation of optimal transport plans for asymptotically equivalent numbers of correlated random points on 2D manifolds by the push-forward of the exponential of the gradient of a solution to a regularized linearization of the Monge-Ampère equation.
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Annealed quantitative estimates for the quadratic 2D-discrete random matching problem
Proves quantitative approximation of optimal transport plans for asymptotically equivalent numbers of correlated random points on 2D manifolds by the push-forward of the exponential of the gradient of a solution to a regularized linearization of the Monge-Ampère equation.