Lipschitz Learning and the Infinity-Laplacian

Explore the application of infinity-harmonic functions in Semi-Supervised Learning through a lecture on Lipschitz learning and the infinity-Laplacian. Delve into the Lipschitz extension problem, examining its solution via MacShane-Whitney extensions and associated challenges. Discover the concept of Absolutely Minimising Lipschitz Extension (AMLE) and its equivalence to comparison with cones and solving the infinity-Laplace equation in the viscosity sense. Gain insights into regularity results and potential open problems in this field as presented by Miguel Urbano from KAUST, Saudi Arabia.