functional data 1heavy-tailed data 1hilbert spaces 1huber loss 1median-of-means 1robust estimation 1
From the 1 of 3 linked papers with an AI index.
3 papers
stat.ML2026
HOMER: Huber-of-Means for Efficient and Robust Estimation in Hilbert Spaces
Kisung You, Boram Cho
The paper introduces HOMER (Huber-of-Means), a robust estimator for Hilbert‑space valued data that aggregates block means using a radial Huber loss, offering a trade‑off between me…
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…
stat.ME2026
Geometric Information Decomposition for Weighted Empirical Measures on the Sphere
Kisung You, Boram Cho
Weighted observations on the unit sphere arise in importance sampling, quadrature, and attention-weighted embeddings. Directional uncertainty is often summarized through a von Mise…