Challenges in Training PINNs: A Loss Landscape Perspective
Challenges in Training PINNs: A Loss Landscape Perspective
This paper explores challenges in training Physics-Informed Neural Networks (PINNs), emphasizing the role of the loss landscape in the training process. We examine difficulties in minimizing the PINN loss function, particularly due to ill-conditioning caused by differential operators in the residual term. We compare gradient-based optimizers Adam, L-BFGS, and their …