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Polynomial Optimization, Efficiency through Moments and Algebra

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Publications

Computing the volume of compact semi-algebraic sets

Author(s): Lairez, Pierre; Mezzarobba, Marc; Safey El Din, Mohab
Published in: ISSAC 2019, 2019

Computing minimal Gorenstein covers

Author(s): Juan Elias, Roser Homs, Bernard Mourrain
Published in: Journal of Pure and Applied Algebra, 2019

Computing real radicals and S-radicals of polynomial systems

Author(s): Mohab Safey El Din, Zhi-Hong Yang, Lihong Zhi
Published in: Journal of Symbolic Computation, 2019

A second order cone characterization for sums of nonnegative circuits

Author(s): Magron, Victor; Wang, Jie
Published in: 2020, Issue 1, 2020

TSSOS: A Moment-SOS hierarchy that exploits term sparsity

Author(s): Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard
Published in: 2020, Issue 1, 2020

Computing controlled invariant sets from data using convex optimization

Author(s): Korda, Milan
Published in: https://hal.archives-ouvertes.fr/hal-02398027, Issue 1, 2019

Computing the Hausdorff boundary measure of semi-algebraic sets

Author(s): Lasserre, Jean-Bernard; Magron, Victor
Published in: 2020, Issue 1, 2020

A sparse version of Reznick's Positivstellensatz

Author(s): Mai, N. H. A.; Magron, Victor; Lasserre, Jean-Bernard
Published in: 2020, Issue 1, 2020

Symmetric Ideals, Specht Polynomials and Solutions to Symmetric Systems of Equations

Author(s): Philippe Moustrou, Cordian Riener, Hugues Verdure
Published in: 2019

Convergence analysis of a Lasserre hierarchy of upper bounds for polynomial minimization on the sphere

Author(s): Etienne de Klerk, Monique Laurent
Published in: 2019

Computing minimal Gorenstein covers

Author(s): Juan Elias, Roser Homs, Bernard Mourrain
Published in: Journal of Pure and Applied Algebra, Issue 224/7, 2020, Page(s) 106280, ISSN 0022-4049
DOI: 10.1016/j.jpaa.2019.106280

A Survey of Semidefinite Programming Approaches to the Generalized Problem of Moments and Their Error Analysis

Author(s): Etienne de Klerk, Monique Laurent
Published in: World Women in Mathematics 2018 - Proceedings of the First World Meeting for Women in Mathematics (WM)², Issue 20, 2019, Page(s) 17-56
DOI: 10.1007/978-3-030-21170-7_1

A Survey of Semidefinite Programming Approaches to the Generalized Problem of Moments and Their Error Analysis

Author(s): Etienne de Klerk, Monique Laurent
Published in: 2019