PDE problems that arise from machine learning

Abstract: Two kinds of PDE problems arise from machine learning. The continuous formulation of machine learning naturally gives rise to some very elegant and challenging PDE (more precisely partial differential and integral equations) problems. It is likely that understanding these PDE problems will become fundamental issues in the mathematical theory of machine learning. Machine learning-based algorithms for PDEs also lead to new questions about these PDEs, for example, new kinds of a priori estimates that are suited for the machine learning model. I will discuss both kinds of problems.

mathematical physicsanalysis of PDEsclassical analysis and ODEsdynamical systemsnumerical analysis

Audience: researchers in the topic

"Partial Differential Equations and Applications" Webinar