This is the moodle course for the lecture "Nonlinear convex analysis with applications in imaging and vision" in the summer semester 2020. On this website, you can find the entire course material:
- videos, slides and notes from the lectures
- homework sheets
- solutions to the exercises (later)
Topics of the lecture:
- mathematical background
- how to do math with images
- convex sets and convex functions
- optimality conditions: KKT and subdifferentials
- unconstrained optimization: gradient descent and higher-order methods (Newon/Quasi-Newton)
- constrained optimization
- non-smooth optimiziation and duality
- non-convex problems