Discovering Nonlinear PDEs from Scarce Data with Physics-encoded Learning

28 January 2022

Yang Liu

Papers citing "Discovering Nonlinear PDEs from Scarce Data with Physics-encoded Learning"

21 / 21 papers shown

Title
PIMRL: Physics-Informed Multi-Scale Recurrent Learning for Spatiotemporal Prediction Han Wan Qi Wang Hao Sun Hao Sun AI4CE 48 0 0 13 Mar 2025
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation Qi Wang Yuan Mi H. Wang Yi Zhang Ruizhi Chengze Hongsheng Liu J. Wen Hao Sun AI4CE 41 0 0 28 Jan 2025
P $^2$ C $^2$ Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamics Qi Wang Pu Ren Hao Zhou Xin-Yang Liu Z. Deng ... Zidong Wang Jian-Xun Wang Ji-Rong_Wen Hao Sun Yang Liu 56 5 0 29 Oct 2024
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems Bocheng Zeng Qi Wang M. Yan Y. Liu Ruizhi Chengze Yi Zhang Hongsheng Liu Zidong Wang Hao Sun AI4CE 37 3 0 02 Oct 2024
Vision-based Discovery of Nonlinear Dynamics for 3D Moving Target Zi-Rui Zhang Yang Liu Hao-Lun Sun 21 0 0 27 Apr 2024
Modeling Spatio-temporal Dynamical Systems with Neural Discrete Learning and Levels-of-Experts Kun Wang Hao Wu Guibin Zhang Junfeng Fang Yuxuan Liang Yuankai Wu Roger Zimmermann Yang Wang 19 8 0 06 Feb 2024
Discovering stochastic partial differential equations from limited data using variational Bayes inference Yogesh Chandrakant Mathpati Tapas Tripura R. Nayek S. Chakraborty DiffM 24 6 0 28 Jun 2023
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing Salah A. Faroughi N. Pawar C. Fernandes Maziar Raissi Subasish Das N. Kalantari S. K. Mahjour PINN AI4CE 27 48 0 14 Nov 2022
SeismicNet: Physics-informed neural networks for seismic wave modeling in semi-infinite domain Pu Ren Chengping Rao Su Chen Jian-Xun Wang Hao-Lun Sun Yang Liu 39 41 0 25 Oct 2022
Physics-informed Deep Super-resolution for Spatiotemporal Data Pu Ren Chengping Rao Yang Liu Zihan Ma Qi Wang Jianxin Wang Hao-Lun Sun 24 13 0 02 Aug 2022
D-CIPHER: Discovery of Closed-form Partial Differential Equations Krzysztof Kacprzyk Zhaozhi Qian M. Schaar AI4CE 19 1 0 21 Jun 2022
CoNSoLe: Convex Neural Symbolic Learning Haoran Li Yang Weng Hanghang Tong 16 9 0 01 Jun 2022
Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data Seungjoon Lee Y. M. Psarellis Constantinos Siettos Ioannis G. Kevrekidis AI4CE 16 27 0 26 May 2022
Integration of knowledge and data in machine learning Yuntian Chen Dongxiao Zhang PINN 28 31 0 15 Feb 2022
Physics-Guided Deep Learning for Dynamical Systems: A Survey Rui Wang Rose Yu AI4CE PINN 37 64 0 02 Jul 2021
Encoding physics to learn reaction-diffusion processes Chengping Rao Pu Ren Qi Wang O. Buyukozturk Haoqin Sun Yang Liu PINN AI4CE DiffM 25 78 0 09 Jun 2021
Physics-Guided Discovery of Highly Nonlinear Parametric Partial Differential Equations Yingtao Luo Qiang Liu Yuntian Chen Wenbo Hu Tian Tian Jun Zhu DiffM 45 4 0 02 Jun 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 2,282 0 18 Oct 2020
MeshfreeFlowNet: A Physics-Constrained Deep Continuous Space-Time Super-Resolution Framework C. Jiang S. Esmaeilzadeh Kamyar Azizzadenesheli K. Kashinath Mustafa A. Mustafa H. Tchelepi P. Marcus P. Prabhat Anima Anandkumar AI4CE 182 141 0 01 May 2020
Disentangling Physical Dynamics from Unknown Factors for Unsupervised Video Prediction Vincent Le Guen Nicolas Thome AI4CE PINN 86 288 0 03 Mar 2020
Geometric deep learning: going beyond Euclidean data M. Bronstein Joan Bruna Yann LeCun Arthur Szlam P. Vandergheynst GNN 238 3,236 0 24 Nov 2016