Empirical Optimal Transport under Estimated Costs: Distributional Limits and Statistical Applications
Authors Hundrieser S, Mordant Gm Weitkamp CA, Munk A Journal Arxiv Citation arXiv:2301.01287. Abstract Optimal transport (OT) based data analysis is often faced with the issue that the underlying cost function is (partially) unknown. This paper is concerned with the derivation of distributional limits for the empirical OT value when