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math.ST2026
Quantitative Stability of the Shadow for Wasserstein Projections and Sample Complexity
Jakwang Kim
In this paper, we study the stability of the shadow, a projection of a measure onto the set of couplings with respect to the Wasserstein distance. The shadow was introduced by \cit…
stat.ME2026
Extension of coupling via the Projection of Optimal Transport
Jakwang Kim, Young-Heon Kim, Chan Park
In many statistical settings, two types of data are available: coupled data, which preserve the joint structure among variables but are limited in size due to cost or privacy const…