13 citations · 49 across the 16 of their papers we have counts for
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Lower Complexity Adaptation for Empirical Entropic Optimal Transport
Michel Groppe, Shayan Hundrieser
Entropic optimal transport (EOT) presents an effective and computationally viable alternative to unregularized optimal transport (OT), offering diverse applications for large-scale…
Convergence of Empirical Optimal Transport in Unbounded Settings
Thomas Staudt, Shayan Hundrieser
In compact settings, the convergence rate of the empirical optimal transport cost to its population value is well understood for a wide class of spaces and cost functions. In unbou…
Weak Limits for Empirical Entropic Optimal Transport: Beyond Smooth Costs
Alberto González-Sanz, Shayan Hundrieser
We establish weak limits for the empirical entropy regularized optimal transport cost, the expectation of the empirical plan and the conditional expectation. Our results require on…
Empirical Optimal Transport under Estimated Costs: Distributional Limits and Statistical Applications
Shayan Hundrieser, Gilles Mordant, Christoph Alexander Weitkamp +1
Optimal transport (OT) based data analysis is often faced with the issue that the underlying cost function is (partially) unknown. This paper is concerned with the derivation of di…