Course

MATH-512: Optimization on manifolds

Summary

We develop, analyze and implement numerical algorithms to solve optimization problems of the form min f(x) where x is a point on a smooth manifold. To this end, we first study differential and Riemannian geometry (with a focus dictated by computational concerns). We also discuss several applications

Official source

https://edu.epfl.ch/coursebook/en/optimization-on-manifolds-MATH-512

Moodle Page

http://go.epfl.ch/MATH-512

About this result

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Ontological neighbourhood

Mathematics

Analysis: Numerical analysis, Functional analysis, Calculus

Geometry: Differential geometry, Euclidean geometry

Algebra: Linear algebra

Instructor

Lectures in this course (95)

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