4 citations · 9 across the 30 of their papers we have counts for
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Geometry and Convergence of Quadratically Regularized Optimal Transport II
Alberto González-Sanz, Marcel Nutz
We study quadratically regularized optimal transport with quadratic cost in the regime of small regularization , where the support of the optimal coupling is sparse. F…
Sharp Asymptotics for Regularized Optimal Transport
Carlos Cardoso-Perelló, Alberto González-Sanz, Marcel Nutz
We study the small-regularization limit for -regularized optimal transport with and for entropically regularized optimal transport (EOT). The exact first-order (r…
Linearization of Monge-Ampère Equations and Statistical Applications
Alberto González-Sanz, Shunan Sheng
Optimal transport has found numerous applications across data science, many of which require differentiating the optimal transport map with respect to the underlying probability de…
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…