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

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

27 January 2023
Jose Antonio Lara Benitez
Takashi Furuya
F. Faucher
Anastasis Kratsios
X. Tricoche
Maarten V. de Hoop
ArXivPDFHTML

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

8 / 8 papers shown
Title
Neural equilibria for long-term prediction of nonlinear conservation laws
Neural equilibria for long-term prediction of nonlinear conservation laws
Jose Antonio Lara Benitez
Junyi Guo
Kareem Hegazy
Ivan Dokmanić
Michael W. Mahoney
Maarten V. de Hoop
38
0
0
12 Jan 2025
Nonlinear Reconstruction for Operator Learning of PDEs with
  Discontinuities
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities
S. Lanthaler
Roberto Molinaro
Patrik Hadorn
Siddhartha Mishra
56
24
0
03 Oct 2022
Solving Seismic Wave Equations on Variable Velocity Models with Fourier
  Neural Operator
Solving Seismic Wave Equations on Variable Velocity Models with Fourier Neural Operator
Bian Li
Hanchen Wang
Shihang Feng
Xiu Yang
Youzuo Lin
71
33
0
25 Sep 2022
Clifford Neural Layers for PDE Modeling
Clifford Neural Layers for PDE Modeling
Johannes Brandstetter
Rianne van den Berg
Max Welling
Jayesh K. Gupta
AI4CE
62
81
0
08 Sep 2022
Generic bounds on the approximation error for physics-informed (and)
  operator learning
Generic bounds on the approximation error for physics-informed (and) operator learning
Tim De Ryck
Siddhartha Mishra
PINN
61
59
0
23 May 2022
MLP-Mixer: An all-MLP Architecture for Vision
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
277
2,606
0
04 May 2021
Fourier Neural Operator for Parametric Partial Differential Equations
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
238
2,298
0
18 Oct 2020
Adaptive Metric Dimensionality Reduction
Adaptive Metric Dimensionality Reduction
Lee-Ad Gottlieb
A. Kontorovich
Robert Krauthgamer
56
38
0
12 Feb 2013
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