Young-Heon Kim

collaborators

4 papers

stat.ML2026

Another Look at Log-PCA for Probability Measures: A Dynamical Formulation and Statistical Convergence

Peng Xu, Changbo Zhu, Young-Heon Kim +1

This paper is concerned with learning principal variations of random probability measures on $R^{m}$ under the Wasserstein geometry. We introduce a new dynamical formulation…

cs.CV2026

Safety-Guided Flow (SGF): A Unified Framework for Negative Guidance in Safe Generation

Mingyu Kim, Young-Heon Kim, Mijung Park

Safety mechanisms for diffusion and flow models have recently been developed along two distinct paths. In robot planning, control barrier functions are employed to guide generative…

math.OC2025

Structure of average distance minimizers in general dimensions

Lucas O'Brien, Forest Kobayashi, Young-Heon Kim

For a fixed, compactly supported probability measure $I^¼$ on the $d$ -dimensional space $R^{d}$ , we consider the problem of minimizing the $p^{th}$ -power average dis…

cs.LG2025

Monge-Kantorovich Fitting With Sobolev Budgets

Forest Kobayashi, Jonathan Hayase, Young-Heon Kim

Given $m < n$ , we consider the problem of ``best'' approximating an $n -d$ probability measure $I ¨ $ via an $m -d$ measure $I^½$ such that $supp I^½$ has bounded…