On June 27th 2023 at 17:00 in the FMI Conference Hall meeting of the FMI Colloquium will be held.
Prof. Gergana Petrova, Texas A&M University, USA, is going to give a research presentation on topic: Consistent PINNs for Elliptic PDEs
Abstract:
This talk gives an a priori analysis of a certain class of numerical methods, commonly referred to as collocation methods, for solving elliptic boundary value problems. It also addresses the recent methods of Physics Informed Neural Networks (PINNs). We propose a new loss function, whose minimization over neural network spaces is referred to as consistent PINNs (CPINNs). We prove that CPINNs provide an optimal recovery of the solution to the Elliptic PDE, provided that the optimization problem can be numerically executed and the NN space has sufficient approximation capabilities.
Prior to the lecture, colloquium participants are invited at 16:30 in the FMI Conference Hall for an informal discussion over coffee/tea.
You are welcome!