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POEMA SIGNED

Polynomial Optimization, Efficiency through Moments and Algebra

Total Cost €

0

EC-Contrib. €

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Partnership

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Project "POEMA" data sheet

The following table provides information about the project.

Coordinator
INSTITUT NATIONAL DE RECHERCHE ENINFORMATIQUE ET AUTOMATIQUE 

Organization address
address: DOMAINE DE VOLUCEAU ROCQUENCOURT
city: LE CHESNAY CEDEX
postcode: 78153
website: www.inria.fr

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country France [FR]
 Total cost 4˙015˙251 €
 EC max contribution 4˙015˙251 € (100%)
 Programme 1. H2020-EU.1.3.1. (Fostering new skills by means of excellent initial training of researchers)
 Code Call H2020-MSCA-ITN-2018
 Funding Scheme MSCA-ITN-ETN
 Starting year 2019
 Duration (year-month-day) from 2019-01-01   to  2022-12-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    INSTITUT NATIONAL DE RECHERCHE ENINFORMATIQUE ET AUTOMATIQUE FR (LE CHESNAY CEDEX) coordinator 549˙604.00
2    SORBONNE UNIVERSITE FR (PARIS) participant 549˙604.00
3    STICHTING NEDERLANDSE WETENSCHAPPELIJK ONDERZOEK INSTITUTEN NL (UTRECHT) participant 531˙239.00
4    UNIVERSITAT KONSTANZ DE (KONSTANZ) participant 505˙576.00
5    THE UNIVERSITY OF BIRMINGHAM UK (BIRMINGHAM) participant 303˙172.00
6    UNIVERSITETET I TROMSOE - NORGES ARKTISKE UNIVERSITET NO (TROMSO) participant 292˙342.00
7    ARTELYS FR (PARIS) participant 274˙802.00
8    STICHTING KATHOLIEKE UNIVERSITEIT BRABANT NL (TILBURG) participant 265˙619.00
9    UNIVERSITA DEGLI STUDI DI FIRENZE IT (Florence) participant 261˙499.00
10    FRIEDRICH-ALEXANDER-UNIVERSITAET ERLANGEN NUERNBERG DE (ERLANGEN) participant 252˙788.00
11    CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS FR (PARIS) participant 229˙001.00

Map

 Project objective

Non-linear optimization problems are present in many real-life applications and in scientific areas such as operations research, control engineering, physics, information processing, economy, biology, etc. However, efficient computational procedures, that can provide the guaranteed global optimum, are lacking for them. The project will develop new polynomial optimization methods, combining moment relaxation procedures with computational algebraic tools to address this type of problems. Recent advances in mathematical programming have shown that the polynomial optimization problems can be approximated by sequences of Semi-Definite Programming problems. This approach provides a powerful way to compute global solutions of non-linear optimization problems and to guarantee the quality of computational results. On the other hand, advanced algebraic algorithms to compute all the solutions of polynomial systems, with efficient implementations for exact and approximate solutions, were developed in the past twenty years.

The network combines the expertise of active European teams working in these two domains to address important challenges in polynomial optimization and to show the impact of this research on practical applications. The network will train a new squad of 15 young researchers to master high-level mathematics, algorithm design, scientific computation and software development, and to solve optimization problems for real-world applications. It will advance the research on algebraic methods for moment approaches, tackle mixed integer non-linear optimization problems and enhance the efficiency and robustness of moment relaxation methods. Specific applications of these approaches to optimization problems are related to smarter cities challenges, such as water distribution network management, energy flow in power systems, urban traffic management, as well as to oceanography and environmental monitoring and finance.

 Publications

year authors and title journal last update
List of publications.
2019 Juan Elias, Roser Homs, Bernard Mourrain
Computing minimal Gorenstein covers
published pages: , ISSN: , DOI:
Journal of Pure and Applied Algebra 2020-03-23
2020 Juan Elias, Roser Homs, Bernard Mourrain
Computing minimal Gorenstein covers
published pages: 106280, ISSN: 0022-4049, DOI: 10.1016/j.jpaa.2019.106280
Journal of Pure and Applied Algebra 224/7 2020-03-23
2019 Lairez, Pierre; Mezzarobba, Marc; Safey El Din, Mohab
Computing the volume of compact semi-algebraic sets
published pages: , ISSN: , DOI:
ISSAC 2019 2020-03-23
2020 Mai, N. H. A.; Magron, Victor; Lasserre, Jean-Bernard
A sparse version of Reznick\'s Positivstellensatz
published pages: , ISSN: , DOI:
2020 1 2020-03-23
2019 Korda, Milan
Computing controlled invariant sets from data using convex optimization
published pages: , ISSN: , DOI:
https://hal.archives-ouvertes.fr/hal-02398027 1 2020-03-23
2019 Mohab Safey El Din, Zhi-Hong Yang, Lihong Zhi
Computing real radicals and S-radicals of polynomial systems
published pages: , ISSN: , DOI:
Journal of Symbolic Computation 2020-03-23
2019 Etienne de Klerk, Monique Laurent
A Survey of Semidefinite Programming Approaches to the Generalized Problem of Moments and Their Error Analysis
published pages: , ISSN: , DOI:
2020-03-23
2020 Lasserre, Jean-Bernard; Magron, Victor
Computing the Hausdorff boundary measure of semi-algebraic sets
published pages: , ISSN: , DOI:
2020 1 2020-03-23
2019 Philippe Moustrou, Cordian Riener, Hugues Verdure
Symmetric Ideals, Specht Polynomials and Solutions to Symmetric Systems of Equations
published pages: , ISSN: , DOI:
2020-03-23
2020 Magron, Victor; Wang, Jie
A second order cone characterization for sums of nonnegative circuits
published pages: , ISSN: , DOI:
2020 1 2020-03-23
2019 Etienne de Klerk, Monique Laurent
Convergence analysis of a Lasserre hierarchy of upper bounds for polynomial minimization on the sphere
published pages: , ISSN: , DOI:
2020-03-23
2020 Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard
TSSOS: A Moment-SOS hierarchy that exploits term sparsity
published pages: , ISSN: , DOI:
2020 1 2020-03-23

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