Lecture

Optimal Transport: Convexity and Geodesics

In course

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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

https://mediaspace.epfl.ch/media/0_klbqamc9

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Ontological neighbourhood

Physics

Thermodynamics: Statistical mechanics

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