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Multiwavelet-based Operator Learning for Differential Equations

Multiwavelet-based Operator Learning for Differential Equations

28 September 2021
Gaurav Gupta
Xiongye Xiao
P. Bogdan
ArXivPDFHTML

Papers citing "Multiwavelet-based Operator Learning for Differential Equations"

14 / 14 papers shown
Title
Sensitivity-Constrained Fourier Neural Operators for Forward and Inverse Problems in Parametric Differential Equations
Sensitivity-Constrained Fourier Neural Operators for Forward and Inverse Problems in Parametric Differential Equations
Abdolmehdi Behroozi
Chaopeng Shen and
Daniel Kifer
AI4CE
59
0
0
13 May 2025
Neural operators struggle to learn complex PDEs in pedestrian mobility: Hughes model case study
Neural operators struggle to learn complex PDEs in pedestrian mobility: Hughes model case study
Prajwal Chauhan
Salah Eddine Choutri
Mohamed Ghattassi
Nader Masmoudi
Saif Eddin Jabari
58
0
0
25 Apr 2025
DGenNO: A Novel Physics-aware Neural Operator for Solving Forward and Inverse PDE Problems based on Deep, Generative Probabilistic Modeling
DGenNO: A Novel Physics-aware Neural Operator for Solving Forward and Inverse PDE Problems based on Deep, Generative Probabilistic Modeling
Yaohua Zang
P. Koutsourelakis
AI4CE
74
1
0
10 Feb 2025
NeurOp-Diff:Continuous Remote Sensing Image Super-Resolution via Neural Operator Diffusion
NeurOp-Diff:Continuous Remote Sensing Image Super-Resolution via Neural Operator Diffusion
Zihao Xu
Yuzhi Tang
Bowen Xu
Qingquan Li
DiffM
89
0
0
20 Jan 2025
Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries
Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries
Zhihao Li
Haoze Song
Di Xiao
Zhilu Lai
Wei Wang
AI4CE
157
3
0
18 Nov 2024
Generalizable Motion Planning via Operator Learning
Generalizable Motion Planning via Operator Learning
Sharath Matada
Luke Bhan
Yuanyuan Shi
Nikolay Atanasov
67
0
0
23 Oct 2024
Linearization Turns Neural Operators into Function-Valued Gaussian Processes
Linearization Turns Neural Operators into Function-Valued Gaussian Processes
Emilia Magnani
Marvin Pfortner
Tobias Weber
Philipp Hennig
UQCV
83
1
0
07 Jun 2024
Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems
Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems
Da Long
Zhitong Xu
Qiwei Yuan
Yin Yang
Shandian Zhe
AI4CE
121
5
0
18 Feb 2024
Coupled Multiwavelet Neural Operator Learning for Coupled Partial Differential Equations
Coupled Multiwavelet Neural Operator Learning for Coupled Partial Differential Equations
Xiongye Xiao
De-An Cao
Ruochen Yang
Gaurav Gupta
Gengshuo Liu
Chenzhong Yin
R. Balan
P. Bogdan
109
9
0
04 Mar 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation
Rui Zhang
Qi Meng
Rongchan Zhu
Yue Wang
Wenlei Shi
Shihua Zhang
Zhi-Ming Ma
Tie-Yan Liu
DiffM
AI4CE
84
5
0
10 Feb 2023
Deep Kronecker neural networks: A general framework for neural networks
  with adaptive activation functions
Deep Kronecker neural networks: A general framework for neural networks with adaptive activation functions
Ameya Dilip Jagtap
Yeonjong Shin
Kenji Kawaguchi
George Karniadakis
ODL
62
133
0
20 May 2021
Learning the solution operator of parametric partial differential
  equations with physics-informed DeepOnets
Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets
Sizhuang He
Hanwen Wang
P. Perdikaris
AI4CE
71
685
0
19 Mar 2021
Design of a Simple Orthogonal Multiwavelet Filter by Matrix Spectral
  Factorization
Design of a Simple Orthogonal Multiwavelet Filter by Matrix Spectral Factorization
Vasil Kolev
T. Cooklev
F. Keinert
13
4
0
16 Oct 2019
Symplectic Recurrent Neural Networks
Symplectic Recurrent Neural Networks
Zhengdao Chen
Jianyu Zhang
Martín Arjovsky
Léon Bottou
183
223
0
29 Sep 2019
1