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

https://mediaspace.epfl.ch/media/0_l8ki3483

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Ontological neighbourhood

Mathematics

Analysis: Numerical analysis, Distribution theory

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