Author

Kisung You

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Preprint Aug 2026

Exact Likelihood and Sampling for Riemannian Gaussian Distributions on Correlation Matrices

Correlation matrices arise when marginal scales are removed from covariance matrices, yet a normalized likelihood must account for both quotient distance and quotient volume. We propose a Riemannian Gaussian model for full-rank correlation matrices under quotient-affine geometry. The distribution is proper and has fini...

Kisung You · 0 citations

Jul 2026

HOMER: Huber-of-Means for Efficient and Robust Estimation in Hilbert Spaces

A Hilbert-space majority theorem and a MOM-order deviation bound under a finite second moment are established and HOMER remains stable when a minority of block summaries is displaced.

Kisung You, Boram Cho · arXiv.org · 0 citations

#machine learning Review Apr 2025

Semantics at an Angle: When Cosine Similarity Works Until It Doesn't

The central conclusion is conditional rather than adversarial: cosine's positive-scale invariance is justified when radial variation is nuisance or fixed by the representation contract, but its angular geometry and downstream decision must still be validated.

Kisung You · arXiv.org · 22 citations