Asymptotic Expansion of Entropic Optimal Transport with a Diminishing Regularization Coefficient

Explore the mathematical foundations of entropic optimal transport through this 11-minute conference talk that examines the asymptotic behavior when the regularization coefficient approaches zero. Delve into advanced theoretical analysis as the speaker presents rigorous mathematical expansions and their implications for optimal transport theory. Learn about the convergence properties and limiting behavior of entropic regularized optimal transport problems, with particular focus on how solutions behave as regularization diminishes. Gain insights into cutting-edge research connecting stochastic processes, projection methods, and their applications in optimal transport theory, presented as part of a specialized workshop on optimal transport applications at the Fields Institute.