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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.ST2024
Estimation and inference for the Wasserstein distance between mixing measures in topic models
Xin Bing, Florentina Bunea, Jonathan Niles-Weed
The Wasserstein distance between mixing measures has come to occupy a central place in the statistical analysis of mixture models. This work proposes a new canonical interpretation…