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Lecture
Optimal Transport: Convexity and Geodesics
Description
This lecture covers the concept of convexity in optimal transport, focusing on the potential energy and geodesics. The instructor explains the d-convexity of potential energy and proves the convexity of geodesics in the Wasserstein space. The lecture also discusses the properties of internal energy and the conditions under which a function is convex along a geodesic.
Official source
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