PulseAugur
EN
LIVE 07:15:44

New research details barycenter estimation in geodesic spaces

A new research paper by Victor-Emmanuel Brunel explores the estimation of barycenters in geodesic spaces, extending concentration inequalities to these complex environments. The study establishes finite-sample error bounds, both in expectation and with high probability, under specific curvature and support conditions. These findings are then applied to derive statistical guarantees for two algorithms designed for barycenter computation. AI

RANK_REASON The cluster contains a single arXiv research paper. [lever_c_demoted from research: ic=1 ai=0.1]

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New research details barycenter estimation in geodesic spaces

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Victor-Emmanuel Brunel, Jordan Serres ·

    Finite sample bounds for barycenter estimation in geodesic spaces

    arXiv:2502.14069v3 Announce Type: replace-cross Abstract: 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 condition ensuring the strong geodesic convex…