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POEMA SIGNED

Polynomial Optimization, Efficiency through Moments and Algebra

Total Cost €

EC-Contrib. €

Partnership

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POEMA project word cloud

Explore the words cloud of the POEMA project. It provides you a very rough idea of what is the project "POEMA" about.

master urban guaranteed cities efficiency moment world power algorithm sequences young scientific efficient teams physics network relaxation engineering life approximated energy semi traffic robustness definite integer squad computation powerful linear water global finance solutions software lacking tackle mathematical polynomial mathematics twenty practical implementations operations combines exact compute programming 15 guarantee quality domains approximate optimum combining algorithms non oceanography train algebraic environmental monitoring computational shown expertise smarter tools flow mixed active economy optimization provides biology

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 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.	FR (LE CHESNAY CEDEX)	coordinator	549˙604.00
2	SORBONNE UNIVERSITE SORBONNE UNIVERSITE Organization address address: 21 RUE DE L'ECOLE DE MEDECINE city: PARIS postcode: 75006 website: n.a. contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	FR (PARIS)	participant	549˙604.00
3	STICHTING NEDERLANDSE WETENSCHAPPELIJK ONDERZOEK INSTITUTEN STICHTING NEDERLANDSE WETENSCHAPPELIJK ONDERZOEK INSTITUTEN Organization address address: WINTHONTLAAN 2 city: UTRECHT postcode: 3526 KV website: www.fom.nl contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	NL (UTRECHT)	participant	531˙239.00
4	UNIVERSITAT KONSTANZ UNIVERSITAT KONSTANZ Organization address address: UNIVERSITATSSTRASSE 10 city: KONSTANZ postcode: 78464 website: www.uni-konstanz.de/ contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	DE (KONSTANZ)	participant	505˙576.00
5	THE UNIVERSITY OF BIRMINGHAM THE UNIVERSITY OF BIRMINGHAM Organization address address: Edgbaston city: BIRMINGHAM postcode: B15 2TT website: www.bham.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (BIRMINGHAM)	participant	303˙172.00
6	UNIVERSITETET I TROMSOE - NORGES ARKTISKE UNIVERSITET UNIVERSITETET I TROMSOE - NORGES ARKTISKE UNIVERSITET Organization address address: HANSINE HANSENS VEG 14 city: TROMSO postcode: 9019 website: http://uit.no/ contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	NO (TROMSO)	participant	292˙342.00
7	ARTELYS ARTELYS Organization address address: 81 RUE SAINT LAZARE city: PARIS postcode: 75009 website: www.artelys.com contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	FR (PARIS)	participant	274˙802.00
8	STICHTING KATHOLIEKE UNIVERSITEIT BRABANT STICHTING KATHOLIEKE UNIVERSITEIT BRABANT Organization address address: WARANDELAAN 2 city: TILBURG postcode: 5037 AB website: www.tilburguniversity.nl contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	NL (TILBURG)	participant	265˙619.00
9	UNIVERSITA DEGLI STUDI DI FIRENZE UNIVERSITA DEGLI STUDI DI FIRENZE Organization address address: Piazza San Marco 4 city: Florence postcode: 50121 website: http://www.unifi.it contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	IT (Florence)	participant	261˙499.00
10	FRIEDRICH-ALEXANDER-UNIVERSITAET ERLANGEN NUERNBERG FRIEDRICH-ALEXANDER-UNIVERSITAET ERLANGEN NUERNBERG Organization address address: SCHLOSSPLATZ 4 city: ERLANGEN postcode: 91054 website: www.uni-erlangen.de contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	DE (ERLANGEN)	participant	252˙788.00
11	CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Organization address address: RUE MICHEL ANGE 3 city: PARIS postcode: 75794 website: www.cnrs.fr contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	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

List of publications.
year	authors and title	journal	last update
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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