Forest Kobayashi

collaborators

3 papers

math.ST2025

Principal Curves In Metric Spaces And The Space Of Probability Measures

Andrew Warren, Anton Afanassiev, Forest Kobayashi +2

We introduce principal curves in Wasserstein space, and in general compact metric spaces. Our motivation for the Wasserstein case comes from optimal-transport-based trajectory infe…

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 $μ$ on the $d$ -dimensional space $R^{d}$ , we consider the problem of minimizing the $p^{th}$ -power average dist…

cs.LG2024

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 $ρ$ via an $m -d$ measure $ν$ such that $supp ν$ has bounded to…