English

Stability of Wasserstein projections in convex order via metric extrapolation

Optimization and Control 2026-04-15 v3 Probability

Abstract

We build on recent work linking backward and forward W2-projections in convex order with the recently introduced metric extrapolation problem to derive new quantitative stability estimates for both problems.

Keywords

Cite

@article{arxiv.2507.19221,
  title  = {Stability of Wasserstein projections in convex order via metric extrapolation},
  author = {Jakwang Kim and Young-Heon Kim and Andrea Natale},
  journal= {arXiv preprint arXiv:2507.19221},
  year   = {2026}
}