Neuro-symbolic partial differential equation solver

Neuro-symbolic partial differential equation solver

25 October 2022

Pouria A. Mistani

Samira Pakravan

Frédéric Gibou

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Papers citing "Neuro-symbolic partial differential equation solver"

18 / 18 papers shown

Title
JAX-FLUIDS: A fully-differentiable high-order computational fluid dynamics solver for compressible two-phase flows Deniz A. Bezgin Aaron B. Buhendwa Nikolaus A. Adams AI4CE 58 71 0 25 Mar 2022
Characterizing possible failure modes in physics-informed neural networks Aditi S. Krishnapriyan A. Gholami Shandian Zhe Robert M. Kirby Michael W. Mahoney PINN AI4CE 116 647 0 02 Sep 2021
Machine learning accelerated computational fluid dynamics Dmitrii Kochkov Jamie A. Smith Ayya Alieva Qing Wang M. Brenner Stephan Hoyer AI4CE 130 873 0 28 Jan 2021
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 504 2,448 0 18 Oct 2020
When and why PINNs fail to train: A neural tangent kernel perspective Sizhuang He Xinling Yu P. Perdikaris 141 916 0 28 Jul 2020
Solver-in-the-Loop: Learning from Differentiable Physics to Interact with Iterative PDE-Solvers Kiwon Um R. Brand Yun Fei Fei Philipp Holl N. Thürey AI4CE 54 273 0 30 Jun 2020
Model Reduction and Neural Networks for Parametric PDEs K. Bhattacharya Bamdad Hosseini Nikola B. Kovachki Andrew M. Stuart 225 332 0 07 May 2020
Neural Operator: Graph Kernel Network for Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar 202 748 0 07 Mar 2020
Learning to Control PDEs with Differentiable Physics Philipp Holl V. Koltun Nils Thuerey AI4CE PINN 75 189 0 21 Jan 2020
Solving inverse-PDE problems with physics-aware neural networks Samira Pakravan Pouria A. Mistani M. Aragon-Calvo Frédéric Gibou AI4CE 40 54 0 10 Jan 2020
Extracting Interpretable Physical Parameters from Spatiotemporal Systems using Unsupervised Learning Peter Y. Lu Samuel Kim Marin Soljacic AI4CE 44 60 0 13 Jul 2019
Data driven approximation of parametrized PDEs by Reduced Basis and Neural Networks N. D. Santo S. Deparis Luca Pegolotti 70 65 0 02 Apr 2019
Measuring the Effects of Data Parallelism on Neural Network Training Christopher J. Shallue Jaehoon Lee J. Antognini J. Mamou J. Ketterling Yao Wang 82 409 0 08 Nov 2018
On the Spectral Bias of Neural Networks Nasim Rahaman A. Baratin Devansh Arpit Felix Dräxler Min Lin Fred Hamprecht Yoshua Bengio Aaron Courville 154 1,454 0 22 Jun 2018
Neural network augmented inverse problems for PDEs Jens Berg K. Nystrom 77 41 0 27 Dec 2017
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems E. Weinan Ting Yu 123 1,389 0 30 Sep 2017
DGM: A deep learning algorithm for solving partial differential equations Justin A. Sirignano K. Spiliopoulos AI4CE 93 2,067 0 24 Aug 2017
Adam: A Method for Stochastic Optimization Diederik P. Kingma Jimmy Ba ODL 2.0K 150,312 0 22 Dec 2014

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