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math.AP2024
Infinitesimal behavior of Quadratically Regularized Optimal Transport and its relation with the Porous Medium Equation
Alejandro Garriz-Molina, Alberto González-Sanz, Gilles Mordant
The quadratically regularized optimal transport problem has recently been considered in various applications where the coupling needs to be \emph{sparse}, i.e., the density of the…
math.AP2022
Quadratically Regularized Optimal Transport: nearly optimal potentials and convergence of discrete Laplace operators
Gilles Mordant, Stephen Zhang
We consider the conjecture proposed in Matsumoto, Zhang and Schiebinger (2022) suggesting that optimal transport with quadratic regularisation can be used to construct a graph whos…