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"

16 / 16 papers shown

Title
DISCO: learning to DISCover an evolution Operator for multi-physics-agnostic prediction Rudy Morel Jiequn Han Edouard Oyallon AI4CE 56 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 56 0 0 01 Apr 2025
Strategies for Pretraining Neural Operators Anthony Zhou Cooper Lorsung AmirPouya Hemmasian Amir Barati Farimani AI4CE 41 6 0 12 Jun 2024
Masked Autoencoders are PDE Learners Anthony Zhou A. Farimani AI4CE 38 7 0 26 Mar 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 32 24 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 31 1 0 11 Dec 2023
Neural Conservation Laws: A Divergence-Free Perspective Jack Richter-Powell Y. Lipman Ricky T. Q. Chen 51 51 0 04 Oct 2022
Towards Multi-spatiotemporal-scale Generalized PDE Modeling Jayesh K. Gupta Johannes Brandstetter AI4CE 61 119 0 30 Sep 2022
Variance Covariance Regularization Enforces Pairwise Independence in Self-Supervised Representations Grégoire Mialon Randall Balestriero Yann LeCun 32 9 0 29 Sep 2022
Decoupled Contrastive Learning Chun-Hsiao Yeh Cheng-Yao Hong Yen-Chi Hsu Tyng-Luh Liu Yubei Chen Yann LeCun 183 183 0 13 Oct 2021
Enhancing Computational Fluid Dynamics with Machine Learning Ricardo Vinuesa Steven L. Brunton AI4CE 116 354 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 368 5,811 0 29 Apr 2021
Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges M. Bronstein Joan Bruna Taco S. Cohen Petar Velivcković GNN 176 1,111 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 256 2,298 0 18 Oct 2020
Improved Baselines with Momentum Contrastive Learning Xinlei Chen Haoqi Fan Ross B. Girshick Kaiming He SSL 279 3,375 0 09 Mar 2020
Symplectic Recurrent Neural Networks Zhengdao Chen Jianyu Zhang Martín Arjovsky Léon Bottou 152 220 0 29 Sep 2019