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math.ST2025
Beyond entropic regularization: Debiased Gaussian estimators for discrete optimal transport and general linear programs
Shuyu Liu, Florentina Bunea, Jonathan Niles-Weed
This work proposes new estimators for discrete optimal transport plans that enjoy Gaussian limits centered at the true solution. This behavior stands in stark contrast with the per…
math.ST2023★ 1 cited
Asymptotic confidence sets for random linear programs
Shuyu Liu, Florentina Bunea, Jonathan Niles-Weed
Motivated by the statistical analysis of the discrete optimal transport problem, we prove distributional limits for the solutions of linear programs with random constraints. Such l…