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Hdr Année : 2017

Variational-analysis look at combinatorial optimization, and other selected topics in optimization

Jérôme Malick

Résumé

This document provides a global view on my research on mathematical optimization. Over the last 10 years, I have worked on several theoretical, algorithmic, and computational topics in optimization, driven by problems from others domains or real-life applications. I choose 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 perspective and discusses future research directions.
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tel-01492394 , version 1 (18-03-2017)

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  • HAL Id : tel-01492394 , version 1

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Jérôme Malick. Variational-analysis look at combinatorial optimization, and other selected topics in optimization. Optimization and Control [math.OC]. Universite Grenoble Alpes, 2017. ⟨tel-01492394⟩
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