[PDF] Top 20 Contributions to the moment-SOS approach in global polynomial optimization
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Contributions to the moment-SOS approach in global polynomial optimization
... Semidefinite relaxations To compute or at least approximate the optimal value ρ of problem P in 5 associated with the parametric optimization problem 12, we now provide a hierarchy of se[r] ... Voir le document complet
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THE MOMENT-SOS HIERARCHY AND THE CHRISTOFFEL-DARBOUX KERNEL
... that the Moment-SOS hierarchy that provides an in- creasing sequence of lower bounds on the global minimum of a polynomial f on a compact set B, has a simple ... Voir le document complet
10
Some approximation schemes in polynomial optimization
... of the solutions is ensured by Putinar’s Positivstellensatz, which can be considered as a key result in the construction of the ...as the above mentioned certificate of positivity. ... Voir le document complet
107
Border Basis relaxation for polynomial optimization
... words: Polynomial optimization, moment matrices, flat extension, border basis ...Computing the global infimum of a polynomial function f on a semi-algebraic set is a difficult ... Voir le document complet
25
Global optimization of pipe networks by the interval analysis approach: the Belgium network case
... Global optimization of pipe networks 4 Many optimization procedures include also the optimization of pipe diame- ...ters. The DC (difference of convex functions approach, ... Voir le document complet
17
Multivariate moment problems : applications of the reconstruction of linear forms on the polynomial ring
... naturally in the search for quality cubatures. The standard domains of inte- gration (simplex, parallelepiped, sphere) can be normalized to their unit, and highly symmetric, counterpart by an ... Voir le document complet
186
A Kriging constrained efficient global optimization approach applied to low-energy building design problems
... by the total cost but also by both the energy demand and the comfort ...However, the evaluation of these criteria may require the implementation of time-consuming tasks, such as ... Voir le document complet
15
A global optimization approach for rational sparsity promoting criteria
... Over the last decade, much attention has been paid to inverse problems involving sparse ...popular approach for solving such problems consists in minimizing the sum of a data fidelity ... Voir le document complet
6
Contributions to handle maximum size constraints in density-based topology optimization
... compared to a highly constrained problem and allows to solve 3D problems in a reasonable time.[r] ... Voir le document complet
17
A moment matrix approach to computing symmetric cubatures
... mean to approximate the integral of a function on an interval by the weighted sum of evaluations at a finite set of nodes in the ...for the quality of the approximation is ... Voir le document complet
140
A global optimization approach to H infinity synthesis with parametric uncertainties applied to AUV control
... by the city of Brest (Brest Metropole) and the DGA (French Defense Procurement ...sider the uncertainties to be ellipsoid parametric uncer- tainties, in order to formulate ... Voir le document complet
7
Contributions to the control and dynamic optimization of processes with varying delays
... displays the optimal trajectories computed with w = ...achieved in both cases. Refining the spatial discretization by a factor of 5 allows us to decrease the discrepancy between ... Voir le document complet
119
Contributions to robust combinatorial optimization with budgeted uncertainty
... algorithms The results of Chapters 5 and 6 could be improved along the following three ...First, the exact pseudo- polynomial dynamic programming algorithms should be called only when ... Voir le document complet
94
Modeling Variability in Cardiac Electrophysiology: A Moment Matching Approach
... 2, the OMM method is applied to synthetic measurements generated from the Courtemanche human atrial ...model. The distribution of six conductances were estimated from AP biomarkers obtained ... Voir le document complet
25
A quasi-Riemannian approach to constrained optimization
... Introduction In differentiable optimization, the Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm [1] is one of the most efficient methods for unconstrained ...requires the ... Voir le document complet
20
The Sample Complexities of Global Lipschitz Optimization
... tame the wild spectrum of shapes that compact subsets may have, we will assume that X satisfies the following additional ...point in X is included in X ...appeared in the past ... Voir le document complet
26
Contributions to the Langlands program
... Acknowledgments. The debt this paper owes to the work of Pierre Colmez will be obvious to the ...reader. The authors are grateful to him for suggesting this problem and ... Voir le document complet
148
An alternative to the classical filtering of the ECG signal: a polynomial approach based on shape feature
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet
15
An Interior-Point Approach to Trajectory Optimization
... Unité de recherche INRIA Rocquencourt Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des V[r] ... Voir le document complet
36
The cluster problem in constrained global optimization
... unconstrained global optimization which corroborated the previous ...analyses. In addition, they showed that the number of boxes visited in the vicinity of a global ... Voir le document complet
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