2 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…
stat.ME2025
Statistical inference of convex order by Wasserstein projection
Jakwang Kim, Young-Heon Kim, Yuanlong Ruan +1
Ranking distributions according to a stochastic order has wide applications in diverse areas. Although stochastic dominance has received much attention, convex order, particularly…