Harnessing the Power of Neural Operators with Automatically Encoded
Conservation Laws

Harnessing the Power of Neural Operators with Automatically Encoded Conservation Laws

18 December 2023

Papers citing "Harnessing the Power of Neural Operators with Automatically Encoded Conservation Laws"

17 / 17 papers shown

Title
Monotone Peridynamic Neural Operator for Nonlinear Material Modeling with Conditionally Unique Solutions Jihong Wang Xiaochuan Tian Zhongqiang Zhang Stewart Silling S. Jafarzadeh Yue Yu 27 0 0 02 May 2025
Embedded Nonlocal Operator Regression (ENOR): Quantifying model error in learning nonlocal operators Yiming Fan H. Najm Yue Yu Stewart Silling M. DÉlia UQCV 21 0 0 27 Oct 2024
Disentangled Representation Learning for Parametric Partial Differential Equations Ning Liu Lu Zhang Tian Gao Yue Yu DRL AI4CE 42 0 0 03 Oct 2024
Nonlocal Attention Operator: Materializing Hidden Knowledge Towards Interpretable Physics Discovery Yue Yu Ning Liu Fei Lu Tian Gao S. Jafarzadeh Stewart Silling AI4CE 41 7 0 14 Aug 2024
Deep Neural Operator Enabled Digital Twin Modeling for Additive Manufacturing Ning Liu Xuxiao Li M. Rajanna E. Reutzel Brady A Sawyer Prahalada Rao Jim Lua Nam Phan Yue Yu AI4CE 38 8 0 13 May 2024
Physics-Informed Machine Learning On Polar Ice: A Survey Zesheng Liu Younghyun Koo Maryam Rahnemoonfar PINN AI4CE 29 1 0 30 Apr 2024
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses S. Jafarzadeh Stewart Silling Ning Liu Zhongqiang Zhang Yue Yu AI4CE 19 15 0 11 Jan 2024
Domain Agnostic Fourier Neural Operators Ning Liu S. Jafarzadeh Yue Yu AI4CE 19 23 0 30 Apr 2023
Solving High-Dimensional PDEs with Latent Spectral Models Haixu Wu Tengge Hu Huakun Luo Jianmin Wang Mingsheng Long AI4CE 57 36 0 30 Jan 2023
Neural Conservation Laws: A Divergence-Free Perspective Jack Richter-Powell Y. Lipman Ricky T. Q. Chen 35 49 0 04 Oct 2022
Towards Multi-spatiotemporal-scale Generalized PDE Modeling Jayesh K. Gupta Johannes Brandstetter AI4CE 53 117 0 30 Sep 2022
Exact conservation laws for neural network integrators of dynamical systems E. Müller PINN 37 12 0 23 Sep 2022
Data-driven Tissue Mechanics with Polyconvex Neural Ordinary Differential Equations Vahidullah Tac F. Sahli Costabal A. B. Tepole AI4CE 25 69 0 03 Oct 2021
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 124 200 0 28 Sep 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
U-Net: Convolutional Networks for Biomedical Image Segmentation Olaf Ronneberger Philipp Fischer Thomas Brox SSeg 3DV 232 75,445 0 18 May 2015