Clifford Neural Layers for PDE Modeling

8 September 2022

Johannes Brandstetter

Papers citing "Clifford Neural Layers for PDE Modeling"

50 / 93 papers shown

Title
Active Learning for Neural PDE Solvers Daniel Musekamp Marimuthu Kalimuthu David Holzmüller Makoto Takamoto Carlos Fernandez AI4CE 108 7 0 02 Aug 2024
Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators Benedikt Alkin Andreas Fürst Simon Schmid Lukas Gruber Markus Holzleitner Johannes Brandstetter PINN AI4CE 171 12 0 19 Feb 2024
Closure Discovery for Coarse-Grained Partial Differential Equations Using Grid-based Reinforcement Learning Jan-Philipp von Bassewitz Sebastian Kaltenbach Petros Koumoutsakos AI4CE 86 2 0 01 Feb 2024
Uncertainty Quantification and Propagation in Surrogate-based Bayesian Inference Philipp Reiser Javier Enrique Aguilar A. Guthke Paul-Christian Bürkner 98 2 0 08 Dec 2023
e3nn: Euclidean Neural Networks Mario Geiger Tess E. Smidt 66 179 0 18 Jul 2022
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zong-Yi Li Daniel Zhengyu Huang Burigede Liu Anima Anandkumar AI4CE 155 264 0 11 Jul 2022
Learning the Solution Operator of Boundary Value Problems using Graph Neural Networks Winfried Lotzsch Simon Ohler Johannes Otterbach AI4CE 51 19 0 28 Jun 2022
LordNet: An Efficient Neural Network for Learning to Solve Parametric Partial Differential Equations without Simulated Data Xinquan Huang Wenlei Shi Xiaotian Gao Xinran Wei Jia Zhang Jiang Bian Mao Yang Tie-Yan Liu PINN 46 11 0 19 Jun 2022
Learning to Accelerate Partial Differential Equations via Latent Global Evolution Tailin Wu Takashi Maruyama J. Leskovec AI4CE 41 31 0 15 Jun 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 85 159 0 26 May 2022
Generative Adversarial Neural Operators Md Ashiqur Rahman Manuel A. Florez Anima Anandkumar Zachary E. Ross Kamyar Azizzadenesheli GAN 52 38 0 06 May 2022
U-NO: U-shaped Neural Operators Md Ashiqur Rahman Zachary E. Ross Kamyar Azizzadenesheli AI4CE 95 141 0 23 Apr 2022
Learning the Dynamics of Physical Systems from Sparse Observations with Finite Element Networks Marten Lienen Stephan Günnemann AI4TS 37 37 0 16 Mar 2022
FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators Jaideep Pathak Shashank Subramanian P. Harrington S. Raja Ashesh Chattopadhyay ... Zong-Yi Li Kamyar Azizzadenesheli Pedram Hassanzadeh K. Kashinath Anima Anandkumar AI4Cl 210 687 0 22 Feb 2022
Lie Point Symmetry Data Augmentation for Neural PDE Solvers Johannes Brandstetter Max Welling Daniel E. Worrall AI4CE 54 63 0 15 Feb 2022
Forecasting Global Weather with Graph Neural Networks R. Keisler AI4Cl 96 170 0 15 Feb 2022
Message Passing Neural PDE Solvers Johannes Brandstetter Daniel E. Worrall Max Welling AI4CE 60 280 0 07 Feb 2022
Learning Operators with Coupled Attention Georgios Kissas Jacob H. Seidman Leonardo Ferreira Guilhoto V. Preciado George J. Pappas P. Perdikaris 61 113 0 04 Jan 2022
Learned Coarse Models for Efficient Turbulence Simulation Kimberly L. Stachenfeld D. Fielding Dmitrii Kochkov M. Cranmer Tobias Pfaff Jonathan Godwin Can Cui S. Ho Peter W. Battaglia Alvaro Sanchez-Gonzalez AI4CE 65 80 0 31 Dec 2021
Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers John Guibas Morteza Mardani Zong-Yi Li Andrew Tao Anima Anandkumar Bryan Catanzaro 60 237 0 24 Nov 2021
Neural Fields in Visual Computing and Beyond Yiheng Xie Towaki Takikawa Shunsuke Saito Or Litany Shiqin Yan Numair Khan Federico Tombari James Tompkin Vincent Sitzmann Srinath Sridhar 3DH 155 628 0 22 Nov 2021
Residual fourier neural operator for thermochemical curing of composites Gengxiang Chen Yingguang Li Xu Liu Qinglu Meng Jing Zhou Xiaozhong Hao AI4CE 119 7 0 15 Nov 2021
Physics-enhanced deep surrogates for partial differential equations R. Pestourie Youssef Mroueh Chris Rackauckas Payel Das Steven G. Johnson PINN AI4CE 42 15 0 10 Nov 2021
Solving PDE-constrained Control Problems Using Operator Learning Rakhoon Hwang Jae Yong Lee J. Shin H. Hwang AI4CE 130 44 0 09 Nov 2021
Physics-Informed Neural Operator for Learning Partial Differential Equations Zong-Yi Li Hongkai Zheng Nikola B. Kovachki David Jin Haoxuan Chen Burigede Liu Kamyar Azizzadenesheli Anima Anandkumar AI4CE 94 410 0 06 Nov 2021
Geometric and Physical Quantities Improve E(3) Equivariant Message Passing Johannes Brandstetter Rob D. Hesselink Elise van der Pol Erik J. Bekkers Max Welling 80 241 0 06 Oct 2021
Geometric Algebra Attention Networks for Small Point Clouds Matthew Spellings 3DPC 61 12 0 05 Oct 2021
Spline-PINN: Approaching PDEs without Data using Fast, Physics-Informed Hermite-Spline CNNs Nils Wandel Michael Weinmann Michael Neidlin Reinhard Klein AI4CE 73 62 0 15 Sep 2021
A trainable monogenic ConvNet layer robust in front of large contrast changes in image classification Eduardo Ulises Moya-Sánchez S. Xambó-Descamps Abraham Sánchez Pérez Sebastián Salazar-Colores Ulises Cortés 37 6 0 14 Sep 2021
U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow Gege Wen Zong-Yi Li Kamyar Azizzadenesheli Anima Anandkumar S. Benson AI4CE 71 383 0 03 Sep 2021
Fourier Neural Operator Networks: A Fast and General Solver for the Photoacoustic Wave Equation Steven Guan Ko-Tsung Hsu P. Chitnis 41 27 0 20 Aug 2021
Seismic wave propagation and inversion with Neural Operators Yan Yang Angela F. Gao J. Castellanos Zachary E. Ross Kamyar Azizzadenesheli R. Clayton 39 72 0 11 Aug 2021
Global Filter Networks for Image Classification Yongming Rao Wenliang Zhao Zheng Zhu Jiwen Lu Jie Zhou ViT 63 463 0 01 Jul 2021
Boundary Graph Neural Networks for 3D Simulations Andreas Mayr Sebastian Lehner A. Mayrhofer C. Kloss Sepp Hochreiter Johannes Brandstetter AI4CE 49 33 0 21 Jun 2021
Steerable Partial Differential Operators for Equivariant Neural Networks Erik Jenner Maurice Weiler 40 29 0 18 Jun 2021
Choose a Transformer: Fourier or Galerkin Shuhao Cao 60 241 0 31 May 2021
Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges M. Bronstein Joan Bruna Taco S. Cohen Petar Velivcković GNN 333 1,147 0 27 Apr 2021
Finite Volume Neural Network: Modeling Subsurface Contaminant Transport T. Praditia Matthias Karlbauer S. Otte S. Oladyshkin Martin Volker Butz Wolfgang Nowak AI4CE 37 18 0 13 Apr 2021
Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets Sizhuang He Hanwen Wang P. Perdikaris AI4CE 77 697 0 19 Mar 2021
Variational Data Assimilation with a Learned Inverse Observation Operator Thomas Frerix Dmitrii Kochkov Jamie A. Smith Daniel Cremers M. Brenner Stephan Hoyer 51 30 0 22 Feb 2021
A Survey of Complex-Valued Neural Networks J. Bassey Lijun Qian Xianfang Li 57 123 0 28 Jan 2021
Machine learning accelerated computational fluid dynamics Dmitrii Kochkov Jamie A. Smith Ayya Alieva Qing Wang M. Brenner Stephan Hoyer AI4CE 98 859 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 474 2,384 0 18 Oct 2020
Learning Mesh-Based Simulation with Graph Networks Tobias Pfaff Meire Fortunato Alvaro Sanchez-Gonzalez Peter W. Battaglia AI4CE 77 779 0 07 Oct 2020
Quaternion Graph Neural Networks Dai Quoc Nguyen T. Nguyen Dinh Q. Phung GNN 48 32 0 12 Aug 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 52 269 0 30 Jun 2020
Embed Me If You Can: A Geometric Perceptron Pavlo Melnyk Michael Felsberg Mårten Wadenbäck 3DPC 26 15 0 11 Jun 2020
MetNet: A Neural Weather Model for Precipitation Forecasting C. Sønderby L. Espeholt Jonathan Heek Mostafa Dehghani Avital Oliver Tim Salimans Shreya Agrawal Jason Hickey Nal Kalchbrenner AI4Cl 287 276 0 24 Mar 2020
Improving data-driven global weather prediction using deep convolutional neural networks on a cubed sphere Jonathan A. Weyn Dale Durran R. Caruana AI4Cl 41 262 0 15 Mar 2020
Lagrangian Neural Networks M. Cranmer S. Greydanus Stephan Hoyer Peter W. Battaglia D. Spergel S. Ho PINN 167 434 0 10 Mar 2020