Self-Supervised Learning with Lie Symmetries for Partial Differential
Equations

Self-Supervised Learning with Lie Symmetries for Partial Differential Equations

11 July 2023

Grégoire Mialon

Hannah Lawrence

Papers citing "Self-Supervised Learning with Lie Symmetries for Partial Differential Equations"

15 / 15 papers shown

Title
DISCO: learning to DISCover an evolution Operator for multi-physics-agnostic prediction Rudy Morel Jiequn Han Edouard Oyallon AI4CE 51 0 0 28 Apr 2025
Operator Learning with Domain Decomposition for Geometry Generalization in PDE Solving Jianing Huang Kaixuan Zhang Youjia Wu Ze Cheng AI4CE 45 0 0 01 Apr 2025
Strategies for Pretraining Neural Operators Anthony Y. Zhou Cooper Lorsung AmirPouya Hemmasian Amir Barati Farimani AI4CE 34 4 0 12 Jun 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training Zhongkai Hao Chang Su Songming Liu Julius Berner Chengyang Ying Hang Su A. Anandkumar Jian Song Jun Zhu AI4TS AI4CE 22 21 0 06 Mar 2024
Optimizing Likelihood-free Inference using Self-supervised Neural Symmetry Embeddings D. Chatterjee Philip C. Harris Maanas Goel Malina Desai Michael W. Coughlin E. Katsavounidis 26 1 0 11 Dec 2023
Neural Conservation Laws: A Divergence-Free Perspective Jack Richter-Powell Y. Lipman Ricky T. Q. Chen 41 50 0 04 Oct 2022
Towards Multi-spatiotemporal-scale Generalized PDE Modeling Jayesh K. Gupta Johannes Brandstetter AI4CE 53 117 0 30 Sep 2022
Variance Covariance Regularization Enforces Pairwise Independence in Self-Supervised Representations Grégoire Mialon Randall Balestriero Yann LeCun 24 9 0 29 Sep 2022
Decoupled Contrastive Learning Chun-Hsiao Yeh Cheng-Yao Hong Yen-Chi Hsu Tyng-Luh Liu Yubei Chen Yann LeCun 176 182 0 13 Oct 2021
Enhancing Computational Fluid Dynamics with Machine Learning Ricardo Vinuesa Steven L. Brunton AI4CE 100 355 0 05 Oct 2021
Emerging Properties in Self-Supervised Vision Transformers Mathilde Caron Hugo Touvron Ishan Misra Hervé Jégou Julien Mairal Piotr Bojanowski Armand Joulin 303 5,773 0 29 Apr 2021
Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges M. Bronstein Joan Bruna Taco S. Cohen Petar Velivcković GNN 174 1,103 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 2,281 0 18 Oct 2020
Improved Baselines with Momentum Contrastive Learning Xinlei Chen Haoqi Fan Ross B. Girshick Kaiming He SSL 243 3,367 0 09 Mar 2020
Symplectic Recurrent Neural Networks Zhengdao Chen Jianyu Zhang Martín Arjovsky Léon Bottou 143 219 0 29 Sep 2019