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. Fields of science natural sciencescomputer and information sciencessoftwaresoftware developmentnatural sciencescomputer and information sciencescomputational sciencenatural sciencesmathematicspure mathematicsalgebranatural sciencescomputer and information sciencesdata sciencedata processing Keywords optimization semi-definite programming convex algebraic geometry polynomial constraints moments sum of squares real algebraic geometry Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.1. - Fostering new skills by means of excellent initial training of researchers Topic(s) MSCA-ITN-2018 - Innovative Training Networks Call for proposal H2020-MSCA-ITN-2018 See other projects for this call Funding Scheme MSCA-ITN - Marie Skłodowska-Curie Innovative Training Networks (ITN) Coordinator INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE Net EU contribution € 549 604,08 Address Domaine de voluceau rocquencourt 78153 Le chesnay cedex France See on map Region Ile-de-France Ile-de-France Yvelines Activity type Research Organisations Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 Participants (10) Sort alphabetically Sort by Net EU contribution Expand all Collapse all CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS France Net EU contribution € 274 802,04 Address Rue michel ange 3 75794 Paris See on map Region Ile-de-France Ile-de-France Paris Activity type Research Organisations Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 SORBONNE UNIVERSITE France Net EU contribution € 549 604,08 Address 21 rue de l'ecole de medecine 75006 Paris See on map Region Ile-de-France Ile-de-France Paris Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 STICHTING NEDERLANDSE WETENSCHAPPELIJK ONDERZOEK INSTITUTEN Netherlands Net EU contribution € 531 239,76 Address Winthontlaan 2 3526 KV Utrecht See on map Region West-Nederland Utrecht Utrecht Activity type Research Organisations Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 TILBURG UNIVERSITY- UNIVERSITEIT VAN TILBURG Netherlands Net EU contribution € 265 619,88 Address Warandelaan 2 5037 AB Tilburg See on map Region Zuid-Nederland Noord-Brabant Midden-Noord-Brabant Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 UNIVERSITAT KONSTANZ Germany Net EU contribution € 505 576,80 Address Universitatsstrasse 10 78464 Konstanz See on map Region Baden-Württemberg Freiburg Konstanz Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 UNIVERSITA DEGLI STUDI DI FIRENZE Italy Net EU contribution € 261 499,68 Address Piazza san marco 4 50121 Florence See on map Region Centro (IT) Toscana Firenze Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 THE UNIVERSITY OF BIRMINGHAM United Kingdom Net EU contribution € 303 172,56 Address Edgbaston B15 2TT Birmingham See on map Region West Midlands (England) West Midlands Birmingham Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 FRIEDRICH-ALEXANDER-UNIVERSITAET ERLANGEN-NUERNBERG Germany Net EU contribution € 252 788,40 Address Schlossplatz 4 91054 Erlangen See on map Region Bayern Mittelfranken Erlangen, Kreisfreie Stadt Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 UNIVERSITETET I TROMSOE - NORGES ARKTISKE UNIVERSITET Norway Net EU contribution € 292 342,32 Address Hansine hansens veg 14 9019 Tromso See on map Region Norge Nord-Norge Troms og Finnmark Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00 ARTELYS France Net EU contribution € 229 001,70 Address 81 rue saint lazare 75009 Paris See on map SME The organization defined itself as SME (small and medium-sized enterprise) at the time the Grant Agreement was signed. Yes Region Ile-de-France Ile-de-France Paris Activity type Private for-profit entities (excluding Higher or Secondary Education Establishments) Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00
