COVID-19 Advisory: In abidance with Mayor Garcetti’s “Safer at Home” emergency order, IPAM will hold all workshops that are part of our current program (High Dimensional Hamilton-Jacobi PDEs), including PDE and Inverse Problem Methods in Machine Learning, via Zoom. Workshop registrants will receive the Zoom link a few days prior to the workshop, along with instructions on how to participate. The video of the recorded sessions will be made available on IPAM website.
Workshop Overview: Researchers in the areas of Partial Differential Equations and Inverse Problems have recently applied ideas from these fields to problems in Machine Learning. The areas of application include the following.
(i) Generalization: Inverse Problems approaches to Learning Theory, regularization of the loss in Deep Learning, convergence in the data sampling limit.
(ii) Optimization: PDE approaches to Stochastic Gradient Descent, Differential Equations interpretations of accelerated first order optimization methods, Convergent algorithms in Deep Learning.
(iii) Semi-supervised learning: PDEs on Graphs.
(iv) Stable architecture design using numerical stability approaches.
This workshop will bring together researchers with background in PDEs, Inverse Problems, and Scientific Computing who are already working in machine learning, along with researchers who are interested in these approaches.