Solving High Frequency and Multi-Scale PDEs with Gaussian Processes

8 November 2023

Papers citing "Solving High Frequency and Multi-Scale PDEs with Gaussian Processes"

6 / 6 papers shown

Title
Toward Efficient Kernel-Based Solvers for Nonlinear PDEs Zhitong Xu Da Long Yiming Xu Guang Yang Shandian Zhe Houman Owhadi 30 0 0 15 Oct 2024
Scaling up Probabilistic PDE Simulators with Structured Volumetric Information Tim Weiland Marvin Pfortner Philipp Hennig AI4CE 23 2 0 07 Jun 2024
Equation Discovery with Bayesian Spike-and-Slab Priors and Efficient Kernels Da Long Wei W. Xing Aditi S. Krishnapriyan R. Kirby Shandian Zhe Michael W. Mahoney 8 0 0 09 Oct 2023
Bayesian Numerical Methods for Nonlinear Partial Differential Equations Junyang Wang Jon Cockayne O. Chkrebtii T. Sullivan Chris J. Oates 46 19 0 22 Apr 2021
Physics-informed neural networks with hard constraints for inverse design Lu Lu R. Pestourie Wenjie Yao Zhicheng Wang F. Verdugo Steven G. Johnson PINN 39 494 0 09 Feb 2021
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks Sifan Wang Hanwen Wang P. Perdikaris 131 438 0 18 Dec 2020