Bernoulli

Authors Staudt T, Hundrieser S Journal Bernoulli Citation Bernoulli 31(3): 1929-1954 (August 2025). Abstract In compact settings, the convergence rate of the empirical optimal transport cost to its population value is well understood for a wide class of spaces and cost functions. In unbounded settings, however, hitherto available results require

Authors Hundrieser S, Klatt M, Munk A, Staudt T Journal Bernoulli Citation Bernoulli 30 (4), 2846-2877. Abstract We provide a unifying approach to central limit type theorems for empirical optimal transport (OT). The limit distribution is given by a supremum of a centered Gaussian process, and we explicitly characterize when it