Algebraic techniques (including invariant theory, algebraic geometry, and commutative algebra) can be naturally applied to certain problems in signal processing (for example, for the phase retrieval problem of X-ray crystallography) or machine learning. The aim of the project is to understand the nature of the mathematical questions arising this way, and to try to contribute to the study of some of them.
Hivatkozások
Tamir Bendory and Dan Edidin, Algebraic theory of phase retrieval, Notices of the Amer. Math. Soc. 69 (2022), 1487-1495.
Ben Blum-Smith and Soledad Villar, Machine learning and invariant theory, Notices of the Amer. Math. Soc. 70 (2023), 1205-1213.