BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alex Iosevich (University of Rochester) DTSTART:20211006T160000Z DTEND:20211006T170000Z DTSTAMP:20260423T052710Z UID:HAeS/19 DESCRIPTION:Title: Fi nite point configurations and the Vapnik-Chervonenkis dimension\nby Al ex Iosevich (University of Rochester) as part of Harmonic analysis e-semin ars\n\n\nAbstract\nThe Vapnik-Chervonenkis (VC) dimension was invented in 1970 to study learning models. This notion has since become one of the cor nerstones of modern data science. This beautiful idea has also found appli cations in other areas of mathematics. In this talk we are going to descri be how the study of the VC-dimension in the context of families of indicat or functions of spheres centered at points in sets of a given Hausdorff di mension (or in sets of a given size inside vector spaces over finite field s) gives rise to interesting\, and in some sense extremal\, point configur ations.\n LOCATION:https://researchseminars.org/talk/HAeS/19/ END:VEVENT END:VCALENDAR