Anagrafe della ricerca

0DISTA - 0-Dimensional Schemes, Tensor Theory, and Applications

Durata:
24 mesi (2023 - 2025)
Responsabile scientifico:
Tipo di progetto:
Ricerca Nazionale - PRIN
Ente finanziatore:
MINISTERO (Ministero dell'Università e della Ricerca)
Codice identificativo progetto:
Prot. 2022E2Z4AK
Ruolo PoliTo:
Partner

Abstract

The decomposition of tensors is a procedure which is ubiquitous in many new technologies related with Artificial Intelligence, Algebraic Statistics, Quantum Physics, Network Theory. The goal of the decomposition process is the separation of elementary components which appear as a mixture in several (biological, chemical, social, linguistic,...) phenomena among the most studied in modern Science. Several branches of Mathematics propose approaches for the study of efficient methods of decompositions, as well as for their theoretical aspects. In recent times researchers realized that deep methods of Algebraic Geometry can be useful to produce sensible advances in the study of the decomposition process. A decomposition can be seen a set of points in a projective space, or in a product of projective spaces, whose images in standard classical maps (Segre maps or Veronese maps) generate the tensor under investigation. It follows

Persone coinvolte

Dipartimenti coinvolti

Partner

  • ALMA MATER STUDIORUM UNIVERSITA' DI BOLOGNA
  • POLITECNICO DI TORINO
  • UNIVERSITA' DEGLI STUDI DI CATANIA
  • UNIVERSITA' DEGLI STUDI DI SIENA - Coordinatore

Parole chiave

Settori ERC

PE1_4 - Algebraic and complex geometry
PE1_20 - Application of mathematics in sciences

Budget

Costo totale progetto: € 186.750,00
Contributo totale progetto: € 154.500,00
Costo totale PoliTo: € 44.400,00
Contributo PoliTo: € 37.650,00