Lecture
Optimal Transport: Gradient Flows
In course
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Description
This lecture delves into the in-depth evaluation of optimal transport, focusing on the gradient flows and the implicit Euler scheme to approximate the problem. It covers the back-and-forth method, displacement interpolation, Dirichlet energy functional, and the heat equation. The instructor illustrates the uniqueness of the gradient flow structure and extends the discussion to piecewise constant functions.
Official source
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