1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.ST2026★ 1 cited
Finite sample bounds for barycenter estimation in geodesic spaces
Victor-Emmanuel Brunel, Jordan Serres
We study the problem of estimating the barycenter of a distribution given i.i.d. data in a geodesic space. Assuming an upper curvature bound in Alexandrov's sense and a support con…
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 th…