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LNO: Laplace Neural Operator for Solving Differential Equations

LNO: Laplace Neural Operator for Solving Differential Equations

19 March 2023
Qianying Cao
S. Goswami
George Karniadakis
ArXivPDFHTML

Papers citing "LNO: Laplace Neural Operator for Solving Differential Equations"

8 / 8 papers shown
Title
On the definition and importance of interpretability in scientific machine learning
On the definition and importance of interpretability in scientific machine learning
Conor Rowan
Alireza Doostan
AI4CE
16
0
0
16 May 2025
MeshONet: A Generalizable and Efficient Operator Learning Method for Structured Mesh Generation
MeshONet: A Generalizable and Efficient Operator Learning Method for Structured Mesh Generation
Jing Xiao
Xinhai Chen
Qingling Wang
Jie Liu
AI4CE
39
0
0
21 Jan 2025
Harnessing physics-informed operators for high-dimensional reliability
  analysis problems
Harnessing physics-informed operators for high-dimensional reliability analysis problems
N Navaneeth
Tushar
Souvik Chakraborty
AI4CE
48
0
0
07 Sep 2024
Uncertainty quantification for deeponets with ensemble kalman inversion
Uncertainty quantification for deeponets with ensemble kalman inversion
Andrew Pensoneault
Xueyu Zhu
31
1
0
06 Mar 2024
Generating synthetic data for neural operators
Generating synthetic data for neural operators
Erisa Hasani
Rachel A. Ward
AI4CE
70
8
0
04 Jan 2024
Accelerated primal-dual methods with enlarged step sizes and operator
  learning for nonsmooth optimal control problems
Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems
Yongcun Song
Xiaoming Yuan
Hangrui Yue
AI4CE
24
2
0
01 Jul 2023
Nonlocality and Nonlinearity Implies Universality in Operator Learning
Nonlocality and Nonlinearity Implies Universality in Operator Learning
S. Lanthaler
Zong-Yi Li
Andrew M. Stuart
31
17
0
26 Apr 2023
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
271
2,315
0
18 Oct 2020
1