Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation

27 January 2023

Papers citing "Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation"

7 / 7 papers shown

Title
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities S. Lanthaler Roberto Molinaro Patrik Hadorn Siddhartha Mishra 37 23 0 03 Oct 2022
Solving Seismic Wave Equations on Variable Velocity Models with Fourier Neural Operator Bian Li Hanchen Wang Shihang Feng Xiu Yang Youzuo Lin 60 32 0 25 Sep 2022
Clifford Neural Layers for PDE Modeling Johannes Brandstetter Rianne van den Berg Max Welling Jayesh K. Gupta AI4CE 60 76 0 08 Sep 2022
Generic bounds on the approximation error for physics-informed (and) operator learning Tim De Ryck Siddhartha Mishra PINN 56 58 0 23 May 2022
MLP-Mixer: An all-MLP Architecture for Vision Ilya O. Tolstikhin N. Houlsby Alexander Kolesnikov Lucas Beyer Xiaohua Zhai ... Andreas Steiner Daniel Keysers Jakob Uszkoreit Mario Lucic Alexey Dosovitskiy 239 2,554 0 04 May 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 203 2,254 0 18 Oct 2020
Adaptive Metric Dimensionality Reduction Lee-Ad Gottlieb A. Kontorovich Robert Krauthgamer 53 38 0 12 Feb 2013