BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Mathematical Sciences - ECPv6.15.18//NONSGML v1.0//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Mathematical Sciences X-ORIGINAL-URL:/math X-WR-CALDESC:Events for Mathematical Sciences REFRESH-INTERVAL;VALUE=DURATION:PT1H X-Robots-Tag:noindex X-PUBLISHED-TTL:PT1H BEGIN:VTIMEZONE TZID:America/Chicago BEGIN:DAYLIGHT TZOFFSETFROM:-0600 TZOFFSETTO:-0500 TZNAME:CDT DTSTART:20240310T080000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0500 TZOFFSETTO:-0600 TZNAME:CST DTSTART:20241103T070000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0600 TZOFFSETTO:-0500 TZNAME:CDT DTSTART:20250309T080000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0500 TZOFFSETTO:-0600 TZNAME:CST DTSTART:20251102T070000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0600 TZOFFSETTO:-0500 TZNAME:CDT DTSTART:20260308T080000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0500 TZOFFSETTO:-0600 TZNAME:CST DTSTART:20261101T070000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=America/Chicago:20251024T140000 DTEND;TZID=America/Chicago:20251024T150000 DTSTAMP:20260417T122552 CREATED:20251013T164539Z LAST-MODIFIED:20251013T164539Z UID:10016251-1761314400-1761318000@uwm.edu SUMMARY:Colloquium: Prof. Greg Ongie DESCRIPTION:A Function Space View of Neural Networks\nProf. Greg Ongie\nAssistant Professor\nMarquette University \nMany mathematical analyses of deep learning focus on how neural network (NN) parameters evolve during training. A complementary perspective is to view NN training as fitting a function belonging to a function space implicitly defined by the architecture and training procedure. In particular\, when parameter norms are explicitly or implicitly constrained\, NNs exhibit a bias toward functions with low “representation cost\,” defined as the minimal parameter norm required to realize the function with a given NN architecture. This talk surveys recent results that characterize representation cost of shallow NN architectures in terms of Banach space norms\, and through non-linear notions of function rank for deeper NN architectures. Finally\, we discuss how bias towards low representation cost functions helps to explain generalization in various applications. URL:/math/event/colloquium-prof-greg-ongie/ LOCATION:EMS Building\, E495\, 3200 N Cramer St\, Milwaukee\, WI\, United States CATEGORIES:Colloquia X-TRIBE-STATUS: END:VEVENT END:VCALENDAR