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Solving inverse-PDE problems with physics-aware neural networks
v1v2v3 (latest)

Solving inverse-PDE problems with physics-aware neural networks

Journal of Computational Physics (JCP), 2020
10 January 2020
Samira Pakravan
Pouria A. Mistani
M. Aragon-Calvo
Frédéric Gibou
    AI4CE
ArXiv (abs)PDFHTML

Papers citing "Solving inverse-PDE problems with physics-aware neural networks"

16 / 16 papers shown
Spatio-Temporal Cluster-Triggered Encoding for Spiking Neural Networks
Spatio-Temporal Cluster-Triggered Encoding for Spiking Neural Networks
Lingyun Ke
Minchi Hu
285
11
0
11 Nov 2025
Variational Rank Reduction Autoencoders for Generative
Variational Rank Reduction Autoencoders for Generative
Alicia Tierz
Jad Mounayer
B. Moya
Francisco Chinesta
DRLAI4CE
261
2
0
10 Sep 2025
A categorical embedding discontinuity-capturing shallow neural network for anisotropic elliptic interface problems
A categorical embedding discontinuity-capturing shallow neural network for anisotropic elliptic interface problems
Wei-Fan Hu
Te-Sheng Lin
Yu-Hau Tseng
M. Lai
258
1
0
19 Mar 2025
GoRINNs: Godunov-Riemann Informed Neural Networks for Learning
  Hyperbolic Conservation Laws
GoRINNs: Godunov-Riemann Informed Neural Networks for Learning Hyperbolic Conservation LawsJournal of Computational Physics (JCP), 2024
Dimitrios G. Patsatzis
Mario di Bernardo
L. Russo
Constantinos Siettos
AI4CE
325
10
0
29 Oct 2024
Conductivity Imaging from Internal Measurements with Mixed Least-Squares
  Deep Neural Networks
Conductivity Imaging from Internal Measurements with Mixed Least-Squares Deep Neural NetworksSIAM Journal of Imaging Sciences (JSIS), 2023
Bangti Jin
Xiyao Li
Qimeng Quan
Zhi Zhou
320
7
0
29 Mar 2023
Partial Differential Equations Meet Deep Neural Networks: A Survey
Partial Differential Equations Meet Deep Neural Networks: A SurveyIEEE Transactions on Neural Networks and Learning Systems (TNNLS), 2022
Shudong Huang
Wentao Feng
Chenwei Tang
Jiancheng Lv
AI4CEAIMat
294
40
0
27 Oct 2022
Neuro-symbolic partial differential equation solver
Neuro-symbolic partial differential equation solver
Pouria A. Mistani
Samira Pakravan
Rajesh Ilango
S. Choudhry
Frédéric Gibou
162
1
0
25 Oct 2022
JAX-DIPS: Neural bootstrapping of finite discretization methods and
  application to elliptic problems with discontinuities
JAX-DIPS: Neural bootstrapping of finite discretization methods and application to elliptic problems with discontinuitiesJournal of Computational Physics (JCP), 2022
Pouria A. Mistani
Samira Pakravan
Rajesh Ilango
Frédéric Gibou
255
13
0
25 Oct 2022
Transformer Meets Boundary Value Inverse Problems
Transformer Meets Boundary Value Inverse ProblemsInternational Conference on Learning Representations (ICLR), 2022
Ruchi Guo
Shuhao Cao
Long Chen
MedIm
535
31
0
29 Sep 2022
Physics Informed Neural Fields for Smoke Reconstruction with Sparse Data
Physics Informed Neural Fields for Smoke Reconstruction with Sparse DataACM Transactions on Graphics (TOG), 2022
Mengyu Chu
Lingjie Liu
Q. Zheng
Erik Franz
Hans-Peter Seidel
Christian Theobalt
Rhaleb Zayer
AI4CE
254
88
0
14 Jun 2022
SPDCinv: Inverse Quantum-Optical Design of High-Dimensional Qudits
SPDCinv: Inverse Quantum-Optical Design of High-Dimensional Qudits
Eyal Rozenberg
Aviv Karnieli
O. Yesharim
Joshua Foley-Comer
Sivan Trajtenberg‐Mills
Daniel Freedman
A. Bronstein
A. Arie
204
0
0
11 Dec 2021
Error-correcting neural networks for semi-Lagrangian advection in the
  level-set method
Error-correcting neural networks for semi-Lagrangian advection in the level-set method
Luis Ángel Larios-Cárdenas
Frédéric Gibou
218
9
0
22 Oct 2021
Short-term traffic prediction using physics-aware neural networks
Short-term traffic prediction using physics-aware neural networks
M. Pereira
Annika Lang
Balázs Kulcsár
169
31
0
21 Sep 2021
Physics-Integrated Variational Autoencoders for Robust and Interpretable
  Generative Modeling
Physics-Integrated Variational Autoencoders for Robust and Interpretable Generative ModelingNeural Information Processing Systems (NeurIPS), 2021
Naoya Takeishi
Alexandros Kalousis
DRLAI4CE
356
76
0
25 Feb 2021
Algorithmically-Consistent Deep Learning Frameworks for Structural
  Topology Optimization
Algorithmically-Consistent Deep Learning Frameworks for Structural Topology OptimizationEngineering applications of artificial intelligence (EAAI), 2020
Jaydeep Rade
Aditya Balu
Ethan Herron
Jay Pathak
Rishikesh Ranade
Soumik Sarkar
A. Krishnamurthy
248
49
0
09 Dec 2020
An unsupervised learning approach to solving heat equations on chip
  based on Auto Encoder and Image Gradient
An unsupervised learning approach to solving heat equations on chip based on Auto Encoder and Image Gradient
Haiyang He
Jay Pathak
226
24
0
19 Jul 2020
1
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