BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kyu-Hwan Lee (Connecticut) DTSTART:20231206T150000Z DTEND:20231206T160000Z DTSTAMP:20260423T021044Z UID:CompAlg/30 DESCRIPTION:Title: Data-scientific study of Kronecker coefficients\nby Kyu-Hwan Lee (Con necticut) as part of Machine Learning Seminar\n\n\nAbstract\nThe Kronecker coefficients are the decomposition multiplicities of the tensor product o f two irreducible representations of the symmetric group. Unlike the Littl ewood--Richardson coefficients\, which are the analogues for the general l inear group\, there is no known combinatorial description of the Kronecker coefficients\, and it is an NP-hard problem to decide whether a given Kro necker coefficient is zero or not. In this talk\, we take a data-scientifi c approach to study whether Kronecker coefficients are zero or not. We sho w that standard machine-learning classifiers may be trained to predict whe ther a given Kronecker coefficient is zero or not. Motivated by principal component analysis and kernel methods\, we also define loadings of partiti ons and use them to describe a sufficient condition for Kronecker coeffici ents to be nonzero.\n LOCATION:https://researchseminars.org/talk/CompAlg/30/ END:VEVENT END:VCALENDAR