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Watch a 52-minute lecture by Rafael Oliveira from the University of Waterloo exploring the connections between scaling problems and entropic optimal transport. Recorded on April 3, 2025, at IPAM's Optimal Transport for Density Operators workshop at UCLA, this presentation delves into matrix scaling and its quantum generalization, operator scaling. Discover how invariant theory provides rigorous analysis of convergence for alternate minimization algorithms in these scaling problems. The lecture also examines how operator scaling can be viewed as the dual of a natural entropic optimal transport problem. Gain insights into advanced mathematical concepts at the intersection of optimization theory, quantum information, and computational mathematics.
