soutiendra le Jeudi 26 Janvier 2017 à 14h30 Amphithéâtre - Maison Jean Kuntzmann
Variational-analysis look at combinatorial optimization and other selected topics in optimization
This document provides an global view on my research on mathematical optimization, over the last 10 years. I have worked on several theoretical, algorithmic, or computational topics in optimization driven by problems from others domains or real-life applications. I chose to focus here on a balanced set of self-contained results that are quite representative of my research approach, while illustrating different facets and particularities of my contributions. I put an emphasis on four of my main contributions: (i) semidefinite relaxations of combinatorial optimization problems, (ii) nonsmooth optimization algorithms for energy optimization, (iii) cut-generating functions in discrete optimization, and (iv) variational analysis of alternating projections. A final section briefly puts the results in a more general perspective and discusses some future research directions.