PDE-READ: Human-readable Partial Differential Equation Discovery using
Deep Learning

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PDE-READ: Human-readable Partial Differential Equation Discovery using Deep Learning

1 November 2021

Christopher Earls

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Papers citing "PDE-READ: Human-readable Partial Differential Equation Discovery using Deep Learning"

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Title
Physics-informed Temporal Alignment for Auto-regressive PDE Foundation Models Congcong Zhu Xiaoyan Xu Jiayue Han Jingrun Chen OOD AI4CE 169 0 0 16 May 2025
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Hao Xu Y. Chen Rui Cao Tianning Tang Mengge Du Jiacheng Li Adrian H. Callaghan Dongxiao Zhang 79 0 0 09 May 2025
Plug-and-Play Physics-informed Learning using Uncertainty Quantified Port-Hamiltonian Models Kaiyuan Tan Peilun Li Jun Wang Thomas Beckers AI4CE 93 0 0 24 Apr 2025
ADAM-SINDy: An Efficient Optimization Framework for Parameterized Nonlinear Dynamical System Identification Siva Viknesh Younes Tatari Amirhossein Arzani 113 3 0 21 Oct 2024
Physics-Constrained Learning for PDE Systems with Uncertainty Quantified Port-Hamiltonian Models Kaiyuan Tan Peilun Li Thomas Beckers AI4CE 68 3 0 17 Jun 2024
A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling Christophe Bonneville Xiaolong He April Tran Jun Sur Richard Park William D. Fries ... David M. Bortz Debojyoti Ghosh Jiun-Shyan Chen Jonathan Belof Youngsoo Choi AI4CE 96 9 0 16 Mar 2024
Data-Driven Autoencoder Numerical Solver with Uncertainty Quantification for Fast Physical Simulations Christophe Bonneville Youngsoo Choi Debojyoti Ghosh Jonathan Belof AI4CE 38 1 0 02 Dec 2023
Physics-constrained robust learning of open-form partial differential equations from limited and noisy data Mengge Du Yuntian Chen Longfeng Nie Siyu Lou Dong-juan Zhang AI4CE 87 8 0 14 Sep 2023
Weak-PDE-LEARN: A Weak Form Based Approach to Discovering PDEs From Noisy, Limited Data R. Stephany Christopher Earls 67 4 0 09 Sep 2023
GPLaSDI: Gaussian Process-based Interpretable Latent Space Dynamics Identification through Deep Autoencoder Christophe Bonneville Youngsoo Choi Debojyoti Ghosh Jonathan Belof AI4CE 90 21 0 10 Aug 2023
Discovering stochastic partial differential equations from limited data using variational Bayes inference Yogesh Chandrakant Mathpati Tapas Tripura R. Nayek S. Chakraborty DiffM 65 6 0 28 Jun 2023
PDE-LEARN: Using Deep Learning to Discover Partial Differential Equations from Noisy, Limited Data R. Stephany Christopher Earls 54 18 0 09 Dec 2022
Discovery of partial differential equations from highly noisy and sparse data with physics-informed information criterion Hao Xu Junsheng Zeng Dongxiao Zhang DiffM 71 20 0 05 Aug 2022
Noise-aware Physics-informed Machine Learning for Robust PDE Discovery Pongpisit Thanasutives Takeshi Morita M. Numao Ken-ichi Fukui PINN AI4CE 133 19 0 26 Jun 2022