Lecture summary: optimization on manifolds
The course (EPFL-512) was given at EPFL in the summer semester 2025 by Professor Nicolas Boumal and Andreea Musat, see course website.
Contents:
- Applications of optimization on manifolds
- First-order Riemannian geometry in Euclidean spaces
- First-order optimization algorithms on manifolds
- Second-order Riemannian geometry in Euclidean spaces
- Second-order optimization algorithms on manifolds
- General framework of differential geometry
- Optimization on non-smooth domains
- Geodesic convexity
Disclaimer: The following lecture notes were written by Markus Renoldner. They may contain typos or mistakes; any such errors are the author’s responsibility.