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Summer school EUR MINT 2022 Moments & Positive Polynomials & their Applications

Jun 27 – 30, 2022

Institut de Mathématiques

Europe/Paris timezone

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Contribution List

1. Basics of Conic Optimization (J.-B. Lasserre) SOS and semidefinite programming (J.-B. Lasserre)

6/27/22, 9:30 AM
2. Positivity certificates and K-moment problem (J.-B. Lasserre)

6/27/22, 11:00 AM
3. LP- and SOS-based hierarchy for optimization (J.-B. Lasserre)

6/27/22, 2:00 PM
4. Comparing LP and SOS-based hierarchies – Finite convergence & Global Optimality conditions (J.-B. Lasserre

6/27/22, 3:30 PM
5. Some applications of the Moment Problem (J.-B. Lasserre)

6/28/22, 9:30 AM
6. Exploiting correlative sparsity (Victor Magron)

6/28/22, 11:00 AM
7. Exploiting term sparsity (Victor Magron)

6/28/22, 2:00 PM
8. Certified optimization: from approximate to exact bounds (Victor Magron)

6/28/22, 3:30 PM
9. Noncommutative optimization & quantum information (Victor Magron)

6/29/22, 9:30 AM
10. Exercise session (Victor Magron)

6/29/22, 11:00 AM
11. Occupation measures for dynamical systems & control (Milan Korda)

6/29/22, 2:00 PM
12. Trajectory recovery (atomic approximation, Christoffel-Darboux Kernel

6/29/22, 3:30 PM
13. The region of attraction, invariant sets and extreme values (Milan Korda)

6/30/22, 9:30 AM
14. Extensions: Partial differential equations, complexity reduction (sparsity, state-space partition) (Milan Korda)

6/30/22, 11:00 AM
15. Exercises (Milan Korda)

6/30/22, 2:00 PM