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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…
math.ST2025
Optimal sequencing depth for single-cell RNA-sequencing in Wasserstein space
Jakwang Kim, Sharvaj Kubal, Geoffrey Schiebinger
How many samples should one collect for an empirical distribution to be as close as possible to the true population? This question is not trivial in the context of single-cell RNA-…
math.ST2025
Robust Estimation in metric spaces: Achieving Exponential Concentration with a Fréchet Median
Jakwang Kim, Jiyoung Park, Anirban Bhattacharya
There is growing interest in developing statistical estimators that achieve exponential concentration around a population target even when the data distribution has heavier than ex…