Uncertainty Quantification Team Seminar (Talk by Dawen Wu, Centre national de la recherche scientifique, National University of Singapore).

Uncertainty Quantification Team Seminar (Talk by Dawen Wu, Centre national de la recherche scientifique, National University of Singapore).
This is an online seminar. Registration is required.

【Uncertainty Quantification Team】
【Speaker】Dawen Wu, Centre national de la recherche scientifique, National University of Singapore

Title: Reformulating Nonlinear Projection Equations as Neural Network Learning

Abstract: Nonlinear projection equations (NPEs) are a unified framework for various constrained nonlinear optimization and engineering problems. In this talk, we presents a deep learning approach for solving NPEs by incorporating ordinary differential equations (ODEs) modelling and physics-informed neural networks (PINNs). First, the NPE is modelled as a system of ODEs with a global convergence property. Next, the ODE system is solved using a modified PINN. We demonstrate the effectiveness of the proposed framework on a collection of classical problems, such as variational inequalities and complementarity problems.