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math.MG2026
Geometry and barycenters in large $\CAT(κ)$ spaces
Yassine Boukhateb, Victor-Emmanuel Brunel, Austin J. Stromme
We study the geometry and resulting properties of Fréchet functions and barycenters in metric spaces with curvature bounded above by a positive constant in the sense of Alexandrov.…
math.ST2026
Finite-sample bounds for regularized optimal transport
Alberto González-Sanz, Marcel Nutz, Austin J. Stromme
We study the sample complexity of regularized optimal transport for general convex regularizations including the Kullback--Leibler divergence and penalties. Our main results…