About Miguel Urbano Miguel Urbano Professor, Applied Mathematics and Computational Science nonlinear PDEs free boundary problems regularity theory Professor Urbano’s research interests are in regularity theory for nonlinear partial differential equations, in particular of singular or degenerate type, arising from different applications, like phase transitions, flows in porous media or semi-supervised learning. He is also interested in free boundary problems, focusing on understanding the local behaviour of weak solutions and the geometric properties of interfaces. Events Presented Events Nov 20 - Nov 26, 2022 Lipschitz learning and the infinity-Laplacian Miguel Urbano, Professor, Applied Mathematics and Computational Science Nov 22, 12:00 - 13:00 B9 L2 R2322 Lipschitz additive nonlinear uncertainty infinity Laplacian 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).
Lipschitz learning and the infinity-Laplacian Miguel Urbano, Professor, Applied Mathematics and Computational Science Nov 22, 12:00 - 13:00 B9 L2 R2322 Lipschitz additive nonlinear uncertainty infinity Laplacian 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).
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