Lie Point Symmetry Data Augmentation for Neural PDE Solvers

Lie Point Symmetry Data Augmentation for Neural PDE Solvers

15 February 2022

Johannes Brandstetter

Daniel E. Worrall

Papers citing "Lie Point Symmetry Data Augmentation for Neural PDE Solvers"

17 / 17 papers shown

Title
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation Qi Wang Yuan Mi H. Wang Yi Zhang Ruizhi Chengze Hongsheng Liu J. Wen Hao Sun AI4CE 38 0 0 28 Jan 2025
Zebra: In-Context and Generative Pretraining for Solving Parametric PDEs Louis Serrano Armand K. Koupai Thomas X. Wang Pierre Erbacher Patrick Gallinari AI4CE 26 3 0 04 Oct 2024
Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups Zakhar Shumaylov Peter Zaika James Rowbottom Ferdia Sherry Melanie Weber Carola-Bibiane Schönlieb 34 1 0 03 Oct 2024
Active Learning for Neural PDE Solvers Daniel Musekamp Marimuthu Kalimuthu David Holzmüller Makoto Takamoto Carlos Fernandez AI4CE 41 4 0 02 Aug 2024
Strategies for Pretraining Neural Operators Anthony Y. Zhou Cooper Lorsung AmirPouya Hemmasian Amir Barati Farimani AI4CE 34 4 0 12 Jun 2024
Linearization Turns Neural Operators into Function-Valued Gaussian Processes Emilia Magnani Marvin Pfortner Tobias Weber Philipp Hennig UQCV 55 1 0 07 Jun 2024
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 24 20 0 30 Mar 2023
Invariant preservation in machine learned PDE solvers via error correction N. McGreivy Ammar Hakim AI4CE PINN 21 8 0 28 Mar 2023
MetaPhysiCa: OOD Robustness in Physics-informed Machine Learning S Chandra Mouli M. A. Alam Bruno Ribeiro OOD 10 4 0 06 Mar 2023
AirfRANS: High Fidelity Computational Fluid Dynamics Dataset for Approximating Reynolds-Averaged Navier-Stokes Solutions F. Bonnet Jocelyn Ahmed Mazari Paola Cinnella Patrick Gallinari AI4CE 25 54 0 15 Dec 2022
Guaranteed Conservation of Momentum for Learning Particle-based Fluid Dynamics L. Prantl Benjamin Ummenhofer V. Koltun Nils Thuerey AI4CE PINN 19 29 0 12 Oct 2022
Physics-based Deep Learning Nils Thuerey Philipp Holl P. Holl Patrick Schnell Felix Trost Kiwon Um P. Schnell F. Trost PINN AI4CE 48 91 0 11 Sep 2021
Physics-Guided Deep Learning for Dynamical Systems: A Survey Rui Wang Rose Yu AI4CE PINN 18 62 0 02 Jul 2021
Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges M. Bronstein Joan Bruna Taco S. Cohen Petar Velivcković GNN 172 1,100 0 27 Apr 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 203 2,272 0 18 Oct 2020
Lagrangian Neural Networks M. Cranmer S. Greydanus Stephan Hoyer Peter W. Battaglia D. Spergel S. Ho PINN 121 419 0 10 Mar 2020
Scaling Laws for Neural Language Models Jared Kaplan Sam McCandlish T. Henighan Tom B. Brown B. Chess R. Child Scott Gray Alec Radford Jeff Wu Dario Amodei 226 4,424 0 23 Jan 2020