Author

Alberto González-Sanz

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Preprint Aug 2026

Huber-Wasserstein barycenters for robust distribution-valued data

We propose a robust barycenter for distribution-valued data by incorporating the Huber loss directly into the optimal transport cost. In contrast to metric-space Huber means, which apply the Huber loss to the Wasserstein distance after optimization, our construction acts on individual transport displacements, preservin...

Carlos Cardoso-Perelló, Alberto González-Sanz · 0 citations

Preprint Sep 2026

Geometry and Convergence of Quadratically Regularized Optimal Transport I

We establish sharp convergence rates for quadratically regularized optimal transport with quadratic cost in the regime of small regularization $\varepsilon$. In particular, we quantify the sparsity of the support of the regularized optimizer. For smooth marginal densities in $\mathbb{R}^d$, this support lies within a d...

Alberto González-Sanz, Marcel Nutz · 0 citations