Lecture

Geodesic Convexity: Theory and Applications

In course

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Description

This lecture covers the concept of geodesic convexity in metric spaces, discussing the properties of t-geodesically convex functions and their applications. The lecture also explores the convexity along geodesics and the stability of inequalities under tensorization. Various theorems and proofs are presented to illustrate the importance and applications of geodesic convexity.

Official source

https://mediaspace.epfl.ch/media/0_f6d4rivx

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Ontological neighbourhood

Mathematics

Analysis: Calculus

Geometry: Euclidean geometry, Differential geometry

Logic

Classical logic: First-order logic

Information engineering

Information theory: Channel capacity

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