ICTP Mathematics Seminar - Friday 18 November, at 11:00 (Miguel Urbano)/hybrid seminar

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2022

hybrid seminar

Friday 18 November, at 11:00 hrs.


For virtual attendees:

Please register in advance for this meeting:
https://www.google.com/url?q=https://zoom.us/meeting/register/tJ0lcOGrrj8pGNwzzpDNyw9zrLYidnQW93NJ&sa=D&source=calendar&usd=2&usg=AOvVaw0bPlNChvhniEWfJPpK6eMg
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Speaker: Miguel Urbano (KAUST, Saudi Arabia)


Title: Lipschitz learning and the infinity-Laplacian


Abstract: Infinity-harmonic functions have recently found application in 
Semi-Supervised Learning in the context of the so-called Lipschitz 
Learning. With this application in mind, we will discuss the Lipschitz 
extension problem, its solution via MacShane-Whitney extensions and its 
several drawbacks, leading to the notion of AMLE (Absolutely Minimising 
Lipschitz Extension). We then address the equivalence between being 
absolutely minimising Lipschitz, enjoying comparison with cones and 
solving the infinity-Laplace equation in the viscosity sense. We will 
present a few regularity results and discuss open problems if time permits.


VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor), for those wishing to attend in person.