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A 49-minute lecture by Cesar Uribe of Rice University exploring recent advances in decentralized computation of Optimal Transport (OT) and Wasserstein barycenters over networks. Discover algorithmic contributions including accelerated primal-dual methods, novel quantization schemes for communication-efficient optimization, and equitable formulations ensuring fairness in distributed cost sharing. Examine methods for semi-discrete entropy-regularized barycenter computation, probability-proportional-to-size quantization for reducing communication loads, and a decentralized algorithm for equitable OT that matches centralized iteration complexity while ensuring fairness. Learn how principled optimization and stochastic approximation methods enable scalable, decentralized solutions for high-dimensional transport problems in this presentation from IPAM's Statistical and Numerical Methods for Non-commutative Optimal Transport Workshop.
