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Multifidelity deep neural operators for efficient learning of partial
  differential equations with application to fast inverse design of nanoscale
  heat transport

Multifidelity deep neural operators for efficient learning of partial differential equations with application to fast inverse design of nanoscale heat transport

14 April 2022
Lu Lu
R. Pestourie
Steven G. Johnson
Giuseppe Romano
    AI4CE
ArXivPDFHTML

Papers citing "Multifidelity deep neural operators for efficient learning of partial differential equations with application to fast inverse design of nanoscale heat transport"

7 / 7 papers shown
Title
Deep neural operators can serve as accurate surrogates for shape
  optimization: A case study for airfoils
Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils
K. Shukla
Vivek Oommen
Ahmad Peyvan
Michael Penwarden
L. Bravo
A. Ghoshal
Robert M. Kirby
George Karniadakis
33
19
0
02 Feb 2023
Partial Differential Equations Meet Deep Neural Networks: A Survey
Partial Differential Equations Meet Deep Neural Networks: A Survey
Shudong Huang
Wentao Feng
Chenwei Tang
Jiancheng Lv
AI4CE
AIMat
24
17
0
27 Oct 2022
Multi-fidelity wavelet neural operator with application to uncertainty
  quantification
Multi-fidelity wavelet neural operator with application to uncertainty quantification
A. Thakur
Tapas Tripura
S. Chakraborty
24
12
0
11 Aug 2022
Multi-fidelity surrogate modeling using long short-term memory networks
Multi-fidelity surrogate modeling using long short-term memory networks
Paolo Conti
Mengwu Guo
Andrea Manzoni
J. Hesthaven
AI4CE
28
48
0
05 Aug 2022
Unsupervised Legendre-Galerkin Neural Network for Singularly Perturbed
  Partial Differential Equations
Unsupervised Legendre-Galerkin Neural Network for Singularly Perturbed Partial Differential Equations
Junho Choi
N. Kim
Youngjoon Hong
AI4CE
16
0
0
21 Jul 2022
Physics-informed neural networks with hard constraints for inverse
  design
Physics-informed neural networks with hard constraints for inverse design
Lu Lu
R. Pestourie
Wenjie Yao
Zhicheng Wang
F. Verdugo
Steven G. Johnson
PINN
39
493
0
09 Feb 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
203
2,281
0
18 Oct 2020
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