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most citedFinite sample bounds for barycenter estimation in geodesic spaces

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math.DG2026

Alexandrov spaces with non negative curvature and displacement convexity of the entropy tensor

Jordan Serres

On a smooth Riemannian manifold, Aishwarya, Rotem and Shenfeld characterised nonnegative sectional curvature as the matrix displacement convexity of an entropy tensor, the Lagrangi…

math.ST2026

means with learned metrics

Pablo Groisman, Matthieu Jonckheere, Jordan Serres +1

We study the Fréchet means of a metric measure space when both the measure and the distance are unknown and have to be estimated. We prove a general result that states that the…