Smooth and Sparse Latent Dynamics in Operator Learning with Jerk Regularization

23 February 2024

Papers citing "Smooth and Sparse Latent Dynamics in Operator Learning with Jerk Regularization"

23 / 23 papers shown

Title
Self-Supervised Learning with Lie Symmetries for Partial Differential Equations Grégoire Mialon Q. Garrido Hannah Lawrence Danyal Rehman Yann LeCun B. Kiani SSL 80 26 0 11 Jul 2023
Operator Learning with Neural Fields: Tackling PDEs on General Geometries Louis Serrano Lise Le Boudec Armand K. Koupai Thomas X. Wang Yuan Yin Jean-Noel Vittaut Patrick Gallinari AI4CE 82 42 0 12 Jun 2023
Evolve Smoothly, Fit Consistently: Learning Smooth Latent Dynamics For Advection-Dominated Systems Z. Y. Wan Leonardo Zepeda-Núñez Anudhyan Boral Fei Sha BDL AI4CE 72 13 0 25 Jan 2023
Physics-Informed Deep Neural Operator Networks S. Goswami Aniruddha Bora Yue Yu George Karniadakis PINN AI4CE 90 108 0 08 Jul 2022
NOMAD: Nonlinear Manifold Decoders for Operator Learning Jacob H. Seidman Georgios Kissas P. Perdikaris George J. Pappas AI4CE 83 77 0 07 Jun 2022
CROM: Continuous Reduced-Order Modeling of PDEs Using Implicit Neural Representations Julius Berner Jinxu Xiang D. Cho Yue Chang G. Pershing H. Maia Maurizio M. Chiaramonte Kevin Carlberg E. Grinspun AI4CE 91 44 0 06 Jun 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 242 711 0 22 Feb 2022
Learning Operators with Coupled Attention Georgios Kissas Jacob H. Seidman Leonardo Ferreira Guilhoto V. Preciado George J. Pappas P. Perdikaris 81 113 0 04 Jan 2022
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 121 424 0 06 Nov 2021
Physics-informed Convolutional Neural Networks for Temperature Field Prediction of Heat Source Layout without Labeled Data Xiaoyu Zhao Zhiqiang Gong Yunyang Zhang Wen Yao Xiaoqian Chen OOD AI4CE 120 95 0 26 Sep 2021
PhyCRNet: Physics-informed Convolutional-Recurrent Network for Solving Spatiotemporal PDEs Pu Ren Chengping Rao Yang Liu Jianxun Wang Hao Sun DiffM AI4CE 115 204 0 26 Jun 2021
Scalars are universal: Equivariant machine learning, structured like classical physics Soledad Villar D. Hogg Kate Storey-Fisher Weichi Yao Ben Blum-Smith PINN AI4CE 73 136 0 11 Jun 2021
Physics-informed neural networks (PINNs) for fluid mechanics: A review Shengze Cai Zhiping Mao Zhicheng Wang Minglang Yin George Karniadakis PINN AI4CE 88 1,209 0 20 May 2021
Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets Sizhuang He Hanwen Wang P. Perdikaris AI4CE 102 710 0 19 Mar 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 509 2,453 0 18 Oct 2020
Learning Mesh-Based Simulation with Graph Networks Tobias Pfaff Meire Fortunato Alvaro Sanchez-Gonzalez Peter W. Battaglia AI4CE 82 806 0 07 Oct 2020
Implicit Neural Representations with Periodic Activation Functions Vincent Sitzmann Julien N. P. Martel Alexander W. Bergman David B. Lindell Gordon Wetzstein AI4TS 172 2,577 0 17 Jun 2020
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 248 2,158 0 08 Oct 2019
Machine Learning for Fluid Mechanics Steven Brunton B. R. Noack Petros Koumoutsakos AI4CE PINN 91 2,128 0 27 May 2019
DeepSDF: Learning Continuous Signed Distance Functions for Shape Representation Jeong Joon Park Peter R. Florence Julian Straub Richard Newcombe S. Lovegrove 3DV 133 3,707 0 16 Jan 2019
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 452 5,168 0 19 Jun 2018
Sigmoid-Weighted Linear Units for Neural Network Function Approximation in Reinforcement Learning Stefan Elfwing E. Uchibe Kenji Doya 141 1,746 0 10 Feb 2017
Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classification Kaiming He Xinming Zhang Shaoqing Ren Jian Sun VLM 355 18,654 0 06 Feb 2015