The Schnorr-Stimm dichotomy theorem (Schnorr and Stimm, 1972) concerns finite-state gamblers that bet on infinite sequences of symbols taken from a finite alphabet Σ. asserts that, for any such sequence S, the following two things are true. (1) If S is not normal in sense Borel (meaning every strings equal length appear with asymptotic frequency S), then there gambler wins money at an infinitel...

The diffeomorphic registration framework enables one to define an optimal matching function between two probability measures with respect a data-fidelity loss function. nonconvexity of the optimization problem renders choice this crucial avoid poor local minima. Recent work showed experimentally efficiency entropy-regularized transportation costs, as they are computationally fast and differenti...