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DTSTART;TZID=America/Chicago:20251024T123000
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SUMMARY:Graduate Student Colloquium: Jillian Cervantes
DESCRIPTION:The Axiom of Choice and Non-Lebesgue Measurable Sets\nJillian Cervantes\nGraduate Student\nUniversity of Wisconsin-Milwaukee \nIn this expository talk\, we explore an interesting connection between the axiom of choice and the existence of non-Lebesgue measurable subsets of \mathbb{R}. We state the axiom of choice and discuss its meaning and significance before reviewing properties of measures\, Lebesgue measure\, and Lebesgue measurable sets. The talk concludes with a construction which uses the axiom of choice to prove the existence of non-Lebesgue measurable sets.
URL:/math/event/graduate-student-colloquium-jillian-cervantes-2/
CATEGORIES:Graduate Student Colloquia
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DTSTART;TZID=America/Chicago:20251024T140000
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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
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UID:10016241-1761318000-1761323400@uwm.edu
SUMMARY:MS Exam Prep Sessions
DESCRIPTION:Come join our Algebra & Analysis Prep Sessions to review key concepts\, practice problems\, and build confidence for the department’s Master’s Preliminary Exams! Sessions will start on September 12th and run until December 12th. \nAnalysis Session\nFacilitated by: Liam\nfrom 3:00 – 4:30\nin EMS W434 \nAlgebra Session\nFacilitated by: Stephen\nfrom 3:00 – 4:30\nin EMS E408
URL:/math/event/ms-exam-prep-sessions/2025-10-24/
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