Stochastic Dimension-Free Zeroth-Order Estimator for High-Dimensional and High-Order PINNs
arXiv:2603.24002v2 Announce Type: replace Abstract: Physics-Informed Neural Networks (PINNs) for high-dimensional and high-order partial differential equations (PDEs) are primarily constrained by the $mathcal{O}(d^k)$ spatial derivative complexity and the $mathcal{O}(P)$ memory overhead of backpropagation (BP). While randomized spatial estimators successfully reduce…
