Research database

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

Duration:
24 months (2023 - 2025)
Principal investigator(s):
Project type:
Nationally funded research - PRIN
Funding body:
MINISTERO (Ministero dell'Università e della Ricerca)
Project identification number:
Prot. 2022E2Z4AK
PoliTo role:
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

People involved

Departments

Partners

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

Keywords

ERC sectors

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

Budget

Total cost: € 186,750.00
Total contribution: € 154,500.00
PoliTo total cost: € 44,400.00
PoliTo contribution: € 37,650.00