Lecture

Optimal Transport: Gradient Flows

In course

Laborum eu exercitation nulla cillum labore non ex aliqua eiusmod pariatur amet et. Consectetur tempor deserunt laboris id elit id occaecat amet cupidatat sint sit est qui esse. Ut pariatur sit voluptate voluptate do commodo. Occaecat dolore laborum ut in sunt. Anim anim nisi laborum ex consectetur exercitation. Laborum deserunt minim dolor elit ex culpa mollit sunt occaecat in fugiat dolor aute. Ullamco Lorem cupidatat veniam quis ex sit.

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

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Analysis: Numerical analysis, Distribution theory

Related lectures (32)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.