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Operator Learning: Algorithms and Analysis

Operator Learning: Algorithms and Analysis

24 February 2024
Nikola B. Kovachki
S. Lanthaler
Andrew M. Stuart
ArXivPDFHTML

Papers citing "Operator Learning: Algorithms and Analysis"

10 / 10 papers shown
Title
Coupled Input-Output Dimension Reduction: Application to Goal-oriented Bayesian Experimental Design and Global Sensitivity Analysis
Coupled Input-Output Dimension Reduction: Application to Goal-oriented Bayesian Experimental Design and Global Sensitivity Analysis
Qiao Chen
Elise Arnaud
Ricardo Baptista
O. Zahm
30
1
0
19 Jun 2024
Discretization Error of Fourier Neural Operators
Discretization Error of Fourier Neural Operators
S. Lanthaler
Andrew M. Stuart
Margaret Trautner
28
4
0
03 May 2024
An operator learning perspective on parameter-to-observable maps
An operator learning perspective on parameter-to-observable maps
Daniel Zhengyu Huang
Nicholas H. Nelsen
Margaret Trautner
24
11
0
08 Feb 2024
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
37
23
0
03 Oct 2022
Towards Multi-spatiotemporal-scale Generalized PDE Modeling
Towards Multi-spatiotemporal-scale Generalized PDE Modeling
Jayesh K. Gupta
Johannes Brandstetter
AI4CE
53
117
0
30 Sep 2022
Variationally Mimetic Operator Networks
Variationally Mimetic Operator Networks
Dhruv V. Patel
Deep Ray
M. Abdelmalik
T. Hughes
Assad A. Oberai
39
23
0
26 Sep 2022
Variable-Input Deep Operator Networks
Variable-Input Deep Operator Networks
Michael Prasthofer
Tim De Ryck
Siddhartha Mishra
37
23
0
23 May 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
56
58
0
23 May 2022
Neural Network Architecture Beyond Width and Depth
Neural Network Architecture Beyond Width and Depth
Zuowei Shen
Haizhao Yang
Shijun Zhang
3DV
MDE
28
13
0
19 May 2022
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
197
2,254
0
18 Oct 2020
1