crossrefMachine Learning: Science and Technology2026-07-17
AB-PINNs: adaptive-basis physics-informed neural networks for residual-driven domain decomposition
Jonah Botvinick-Greenhouse, Wael H Ali, Mouhacine Benosman, Saviz Mowlavi
Abstract We introduce adaptive-basis physics-informed neural networks (AB-PINNs), an adaptive domain decomposition framework for PINNs in which learnable subdomains dynamically evolve during training to align with intrinsic features of the unknown solution. Local networks capture…