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stat.ML2026
HOMER: Huber-of-Means for Efficient and Robust Estimation in Hilbert Spaces
Kisung You, Boram Cho
Heavy tails weaken high-confidence control for the empirical mean. Geometric median-of-means (MOM) also lacks a threshold that moves toward mean efficiency. We propose \emph{HOMER}…
stat.ML2026
Heat-Kernel Entropy Profiles and Geometric Effective Sample Size for Weighted Measures on Manifolds
Kisung You, Boram Cho
Weighted empirical measures on compact manifolds appear in importance sampling, particle approximations, posterior summaries, quadrature, and representation learning. Ordinary effe…