Introduction to non-commutative optimization - matrix & operator scaling

Non-commutative optimization is the study of optimization problems arising from the action of a group on a vector space. Such optimization problems turn out to have applications in several areas, such as computer science, quantum information, machine learning, and mathematics, among several others. In this first talk, we will give a gentle introduction to non-commutative optimization via two very well-studied problems: matrix and operator scaling.