Any equation is a forest: Symbolic genetic algorithm for discovering open-form partial differential equations (SGA-PDE)

9 June 2021

Papers citing "Any equation is a forest: Symbolic genetic algorithm for discovering open-form partial differential equations (SGA-PDE)"

29 / 29 papers shown

Title
An Analytical and AI-discovered Stable, Accurate, and Generalizable Subgrid-scale Closure for Geophysical Turbulence Karan Jakhar Yifei Guan Pedram Hassanzadeh AI4CE 0 0 0 05 Sep 2025
Hybrid Adaptive Modeling in Process Monitoring: Leveraging Sequence Encoders and Physics-Informed Neural Networks Mouad Elaarabi Domenico Borzacchiello Philippe Le Bot Nathan Lauzeral Sebastien Comas-Cardona PINN AI4CE 130 0 0 20 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 113 0 0 09 May 2025
Fast and Modular Whole-Body Lagrangian Dynamics of Legged Robots with Changing Morphology Sahand Farghdani Omar Abdelrahman Robin Chhabra 104 2 0 23 Apr 2025
DUE: A Deep Learning Framework and Library for Modeling Unknown Equations Junfeng Chen Kailiang Wu D. Xiu 99 2 0 14 Apr 2025
CTSR: Cartesian tensor-based sparse regression for data-driven discovery of high-dimensional invariant governing equations Boqian Zhang Juanmian Lei Guoyou Sun Shuaibing Ding Jian Guo 119 1 0 10 Apr 2025
Discovery and inversion of the viscoelastic wave equation in inhomogeneous media Su Chen Yi Ding Hiroe Miyake Xiaojun Li 155 0 0 27 Sep 2024
Discovering an interpretable mathematical expression for a full wind-turbine wake with artificial intelligence enhanced symbolic regression Ding Wang Yuntian Chen Shiyi Chen 139 4 0 02 Jun 2024
LLM4ED: Large Language Models for Automatic Equation Discovery Mengge Du Yuntian Chen Zhongzheng Wang Longfeng Nie Dong-juan Zhang 109 6 0 13 May 2024
An invariance constrained deep learning network for PDE discovery Chao Chen Hui Li Xiaowei Jin PINN 97 1 0 06 Feb 2024
Filtered Partial Differential Equations: a robust surrogate constraint in physics-informed deep learning framework Dashan Zhang Yuntian Chen Shiyi Chen AI4CE 136 5 0 07 Nov 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 111 10 0 14 Sep 2023
Adaptive Uncertainty-Guided Model Selection for Data-Driven PDE Discovery Pongpisit Thanasutives Takashi Morita M. Numao Ken-ichi Fukui 157 3 0 20 Aug 2023
Directed differential equation discovery using modified mutation and cross-over operators E. Ivanchik A. Hvatov 70 1 0 09 Aug 2023
Towards true discovery of the differential equations A. Hvatov Roman V. Titov 96 0 0 09 Aug 2023
Discovering stochastic partial differential equations from limited data using variational Bayes inference Yogesh Chandrakant Mathpati Tapas Tripura R. Nayek S. Chakraborty DiffM 80 10 0 28 Jun 2023
Learning Closed-form Equations for Subgrid-scale Closures from High-fidelity Data: Promises and Challenges Karan Jakhar Yifei Guan R. Mojgani Ashesh Chattopadhyay Pedram Hassanzadeh AI4Cl AI4CE 168 18 0 08 Jun 2023
Deep-OSG: Deep Learning of Operators in Semigroup Junfeng Chen Kailiang Wu AI4TS 115 7 0 07 Feb 2023
Discover governing differential equations from evolving systems Yuan Li K. Wu Jing Liu 124 8 0 19 Jan 2023
PDE-LEARN: Using Deep Learning to Discover Partial Differential Equations from Noisy, Limited Data R. Stephany Christopher Earls 98 18 0 09 Dec 2022
DISCOVER: Deep identification of symbolically concise open-form PDEs via enhanced reinforcement-learning Mengge Du Yuntian Chen Dong-juan Zhang 100 0 0 04 Oct 2022
Learning Differential Operators for Interpretable Time Series Modeling Yingtao Luo Chang Xu Yang Liu Weiqing Liu Shun Zheng Jiang Bian AI4TS 106 10 0 03 Sep 2022
Discovery of partial differential equations from highly noisy and sparse data with physics-informed information criterion Hao Xu Junsheng Zeng Dongxiao Zhang DiffM 83 23 0 05 Aug 2022
D-CIPHER: Discovery of Closed-form Partial Differential Equations Krzysztof Kacprzyk Zhaozhi Qian M. Schaar AI4CE 108 2 0 21 Jun 2022
AutoKE: An automatic knowledge embedding framework for scientific machine learning Mengge Du Yuntian Chen Dongxiao Zhang AI4CE 106 11 0 11 May 2022
Integration of knowledge and data in machine learning Yuntian Chen Dongxiao Zhang PINN 129 34 0 15 Feb 2022
Physics-Guided Discovery of Highly Nonlinear Parametric Partial Differential Equations Yingtao Luo Qiang Liu Yuntian Chen Wenbo Hu Tian Tian Jun Zhu DiffM 139 5 0 02 Jun 2021
One-shot learning for solution operators of partial differential equations Priya Kasimbeg Haiyang He Rishikesh Ranade Jay Pathak Lu Lu AI4CE 129 15 0 06 Apr 2021
Deep Learning of Subsurface Flow via Theory-guided Neural Network Nanzhe Wang Dongxiao Zhang Haibin Chang Heng Li AI4CE 188 249 0 24 Oct 2019