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.

Lipschitz learning and the infinity-Laplacian