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Explore advanced mathematical modeling techniques for football tournaments through this 26-minute conference lecture that examines the intersection of probability theory, optimal transport, and sports analytics. Delve into the football model for tournaments and pairwise comparison originally introduced by Aldous and Kolesnik, and discover two innovative algorithms inspired by variants of the Monge-Kantorovich Transport Problem designed to calibrate model parameters. Learn how martingale theory and entropic optimal transport methods can be applied to analyze competitive sports scenarios and tournament structures. Examine the mathematical foundations underlying these approaches and understand their practical applications in modeling football competitions. Gain insights into collaborative research methodologies as the speaker presents joint work conducted with researchers from Université Paris-Saclay, France and Columbia University, USA, demonstrating the international scope of mathematical research in sports modeling.
