Nonlocality and Nonlinearity Implies Universality in Operator Learning

26 April 2023

Papers citing "Nonlocality and Nonlinearity Implies Universality in Operator Learning"

19 / 19 papers shown

Title
Active Learning for Neural PDE Solvers Daniel Musekamp Marimuthu Kalimuthu David Holzmüller Makoto Takamoto Carlos Fernandez AI4CE 52 4 0 02 Aug 2024
Continuum Attention for Neural Operators Edoardo Calvello Nikola B. Kovachki Matthew E. Levine Andrew M. Stuart 34 9 0 10 Jun 2024
Mixture of Experts Soften the Curse of Dimensionality in Operator Learning Anastasis Kratsios Takashi Furuya Jose Antonio Lara Benitez Matti Lassas Maarten V. de Hoop 50 13 0 13 Apr 2024
Operator Learning: Algorithms and Analysis Nikola B. Kovachki S. Lanthaler Andrew M. Stuart 46 22 0 24 Feb 2024
Parametric Learning of Time-Advancement Operators for Unstable Flame Evolution Rixin Yu Erdzan Hodzic AI4CE 19 4 0 14 Feb 2024
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses S. Jafarzadeh Stewart Silling Ning Liu Zhongqiang Zhang Yue Yu AI4CE 29 16 0 11 Jan 2024
Gain Scheduling with a Neural Operator for a Transport PDE with Nonlinear Recirculation Maxence Lamarque Luke Bhan R. Vázquez Miroslav Krstic 26 9 0 04 Jan 2024
Plasma Surrogate Modelling using Fourier Neural Operators Vignesh Gopakumar Stanislas Pamela L. Zanisi Zong-Yi Li Ander Gray ... Matt Kusner M. Deisenroth A. Anandkumar Jorek Team Mast Team AI4CE 22 17 0 10 Nov 2023
Neural Operators for Accelerating Scientific Simulations and Design Kamyar Azzizadenesheli Nikola B. Kovachki Zong-Yi Li Miguel Liu-Schiaffini Jean Kossaifi Anima Anandkumar AI4CE 33 122 0 27 Sep 2023
Deep Operator Network Approximation Rates for Lipschitz Operators Ch. Schwab A. Stein Jakob Zech 33 9 0 19 Jul 2023
Operator learning with PCA-Net: upper and lower complexity bounds S. Lanthaler 26 25 0 28 Mar 2023
Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation Jose Antonio Lara Benitez Takashi Furuya F. Faucher Anastasis Kratsios X. Tricoche Maarten V. de Hoop 37 16 0 27 Jan 2023
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems Derick Nganyu Tanyu Jianfeng Ning Tom Freudenberg Nick Heilenkötter A. Rademacher U. Iben Peter Maass AI4CE 23 34 0 06 Dec 2022
Multiresolution kernel matrix algebra Helmut Harbrecht Michael Multerer Olaf Schenk Christoph Schwab 11 6 0 21 Nov 2022
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities S. Lanthaler Roberto Molinaro Patrik Hadorn Siddhartha Mishra 51 24 0 03 Oct 2022
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zong-Yi Li Daniel Zhengyu Huang Burigede Liu Anima Anandkumar AI4CE 119 251 0 11 Jul 2022
Neural and spectral operator surrogates: unified construction and expression rate bounds L. Herrmann Christoph Schwab Jakob Zech 48 9 0 11 Jul 2022
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 126 200 0 28 Sep 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 211 2,287 0 18 Oct 2020