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

Anastasis Kratsios

Maarten V. de Hoop

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

10 / 10 papers shown

Title
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
Neural Spacetimes for DAG Representation Learning Haitz Sáez de Ocáriz Borde Anastasis Kratsios Marc T. Law Xiaowen Dong Michael Bronstein CML 48 0 0 25 Aug 2024
Operator Learning of Lipschitz Operators: An Information-Theoretic Perspective Samuel Lanthaler 47 3 0 26 Jun 2024
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities S. Lanthaler Roberto Molinaro Patrik Hadorn Siddhartha Mishra 59 24 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 71 33 0 25 Sep 2022
Clifford Neural Layers for PDE Modeling Johannes Brandstetter Rianne van den Berg Max Welling Jayesh K. Gupta AI4CE 64 82 0 08 Sep 2022
Generic bounds on the approximation error for physics-informed (and) operator learning Tim De Ryck Siddhartha Mishra PINN 63 59 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 292 2,611 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 262 2,309 0 18 Oct 2020
Adaptive Metric Dimensionality Reduction Lee-Ad Gottlieb A. Kontorovich Robert Krauthgamer 58 38 0 12 Feb 2013