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HEDoctoral network2024–2028

TENORS · Tensor modEliNg, geOmetRy and optimiSation

Horizon Europe — Marie Skłodowska-Curie Actions

Duration
2024-01-01 → 2028-04-30
EU contribution
€4,049,582
Participants
21
Scheme
HORIZON-TMA-MSCA-DN-JD

Lines connect the coordinator with its partners. CORDIS does not always give exact coordinates for projects before 2014. These points are placed at city or country level.

Results in brief

Tensor modEliNg, geOmetRy and optimiSation

For the first 24 months of the project, the project has been implemented in line with the overall objectives. In terms of theoretical advances, we have had new results on the study of tensor spaces (objective 1), including generalized additive decomposition, Segre–Veronese varieties, and q-symmetric tensors, on high performance tensor computation (objective 2) such as the development of new tools for cactus rank computation, for polynomial optimization, exploiting tensor invariants, low-rank approximations for PDEs, and low rank structures in semidefinite programming. The advances on new applications of tensors methods (objective 3) include the applications of network methods for quantum systems, improved techniques for quantum separability analysis, and scalable approaches to semidefinite problems in physics and finance. Regarding the training and collaboration (objective 4), we have had successful completion of all planned events, including training activities and industrial secondments. The technological, economical and societal impact of the project (objective 5) is in progress but without quantitative measurements yet. Overall, the project performance in the first 24 months have obtained strong scientific output with activities fully on schedule and aligned with project objectives.

Data: CORDIS, © European Union

Project objective

TENORS aims to form the next generation of researchers and engineers in scientific computing and data analysis, disrupting the current paradigms of tensor calculus by exploiting cutting-edge research in geometry and optimisation. Tensors are nowadays ubiquitous in many domains of applied mathematics, computer science, signal processing, data processing, machine learning and in the emerging area of quantum computing. The demand for highly trained scientists with a deep understanding of tensor methods and with advanced knowledge in the geometry of tensor spaces, with skills on the design of efficient algorithms and software handling tensor computation and in the applications of high performance tensor computation is raising, in many fields including machine learning and quantum computation, which are nowadays expanding very quickly.TENORS contributes to satisfy this demand by fostering scientific and technological advances in the area of tensor sciences, stimulating interdisciplinary and intersectoriality knowledge exchange between algebraists, geometers, computer scientists, numerical analysts, data analysts, physicists, quantum scientists, and industrial actors facing real-life tensor-based problems, in a network of PhD students at its core.A unique strength of the network is to gather top-researchers of these different domains. TENORS will train young scientists in academy or industry in how to exploit the best of these techniques efficiently and disseminate this knowledge to industry. As a truly multidisciplinary network, TENORS will at the same time seek to apply these new techniques to real-life applications thanks to the industrial actors involved in the network.

Original text from CORDIS.

Participants

  • INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE · Le Chesnay CedexCoordinatorFrance
  • ARTELYS · ParisFrance
  • Arva AS · BodøCity levelNorway
  • BLUETENSOR S.R.L. · TrentoItaly
  • CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS · ParisFrance
  • CESKE VYSOKE UCENI TECHNICKE V PRAZE · PRAHACzechia
  • FUNDACIO INSTITUT DE CIENCIES FOTONIQUES · CastelldefelsSpain
  • HSBC BANK PLC · LondonUnited Kingdom
  • MAX-PLANCK-GESELLSCHAFT ZUR FORDERUNG DER WISSENSCHAFTEN EV · MUNCHENGermany
  • QUANDELA · MassyFrance
  • QUANTINUUM LTD · LondonUnited Kingdom
  • STICHTING NEDERLANDSE WETENSCHAPPELIJK ONDERZOEK INSTITUTEN · UtrechtNetherlands
  • TILBURG UNIVERSITY- UNIVERSITEIT VAN TILBURG · TilburgNetherlands
  • UNIVERSITA DEGLI STUDI DI FIRENZE · FlorenceItaly
  • UNIVERSITA DEGLI STUDI DI TRENTO · TrentoItaly
  • UNIVERSITAET LEIPZIG · LeipzigGermany
  • UNIVERSITAT KONSTANZ · KonstanzGermany
  • UNIVERSITAT POLITECNICA DE CATALUNYA · BARCELONASpain
  • UNIVERSITE COTE D'AZUR · NiceFrance
  • UNIVERSITE DE TOULOUSE · ToulouseFrance
  • UNIVERSITETET I TROMSOE - NORGES ARKTISKE UNIVERSITET · TromsoNorway

Links

Data: CORDIS, © European Union