Starts 18 Nov 2022 11:00
Ends 18 Nov 2022 12:00
Central European Time
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Lipschitz learning and the infinity-Laplacian
Hybrid seminar
Leonardo Building - Luigi Stasi Seminar Room
Hybrid seminar
Venue: for in-person attendees (Leonardo da Vinci, Stasi Room, First floor).
For virtual attendees:
https://zoom.us/meeting/register/tJ0lcOGrrj8pGNwzzpDNyw9zrLYidnQW93NJ
After registering, you will receive a confirmation email containing information about joining the meeting.
Venue: for in-person attendees (Leonardo da Vinci, Stasi Room, First floor).
For virtual attendees:
https://zoom.us/meeting/register/tJ0lcOGrrj8pGNwzzpDNyw9zrLYidnQW93NJ
After registering, you will receive a confirmation email containing information about joining the meeting.
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
Hybrid seminar