functional data 1heavy-tailed data 1hilbert spaces 1huber loss 1median-of-means 1robust estimation 1
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math.ST2026
Density Evolution: A Multiscale View of Density Estimation
Kisung You
Density estimation is often presented as a choice among parametric summaries, finite mixtures, and nonparametric smoothers. This review argues for a complementary view: a data set…
math.ST2026
Scale selection for geometric medians on product manifolds
Kisung You
Geometric medians on product manifolds are sensitive to the relative scaling of factor metrics because the median objective couples the factors rather than separating them. We stud…
math.ST2026
Profile Likelihood Inference for Anisotropic Hyperbolic Wrapped Normal Models on Hyperbolic Space
Kisung You
We study likelihood-based inference for the anisotropic hyperbolic wrapped normal distribution on standard hyperbolic space. The model has a manifold-valued location parameter and…