Seminar - Michael P. Friedlander

Sparsity and gauge optimization

Abstract:

Gauge functions significantly generalize the notion of a norm, and gauge optimization is the class of problems for finding the element of a convex set that is minimal with respect to a gauge. These conceptually simple problems appear in a remarkable array of applications. Their gauge structure allows for a special kind of duality framework that may lead to new algorithmic approaches. I will illustrate these ideas with applications in signal processing.

(Collaborators: Nathan Krislock, Ives Macedo, Ting Kei Pong.)