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Theory-guided hard constraint projection (HCP): a knowledge-based
  data-driven scientific machine learning method

Theory-guided hard constraint projection (HCP): a knowledge-based data-driven scientific machine learning method

11 December 2020
Yuntian Chen
Dou Huang
Dongxiao Zhang
Junsheng Zeng
Nanzhe Wang
Haoran Zhang
Jinyue Yan
    PINN
ArXivPDFHTML

Papers citing "Theory-guided hard constraint projection (HCP): a knowledge-based data-driven scientific machine learning method"

17 / 17 papers shown
Title
An explainable operator approximation framework under the guideline of
  Green's function
An explainable operator approximation framework under the guideline of Green's function
Jianghang Gu
Ling Wen
Yuntian Chen
Shiyi Chen
74
0
0
21 Dec 2024
A nudge to the truth: atom conservation as a hard constraint in models
  of atmospheric composition using an uncertainty-weighted correction
A nudge to the truth: atom conservation as a hard constraint in models of atmospheric composition using an uncertainty-weighted correction
Patrick Obin Sturm
Sam J. Silva
30
0
0
28 Aug 2024
Optimization of geological carbon storage operations with multimodal
  latent dynamic model and deep reinforcement learning
Optimization of geological carbon storage operations with multimodal latent dynamic model and deep reinforcement learning
Zhongzheng Wang
Yuntian Chen
Guodong Chen
Dongxiao Zhang
AI4CE
31
0
0
07 Jun 2024
Filtered Partial Differential Equations: a robust surrogate constraint
  in physics-informed deep learning framework
Filtered Partial Differential Equations: a robust surrogate constraint in physics-informed deep learning framework
Dashan Zhang
Yuntian Chen
Shiyi Chen
AI4CE
32
2
0
07 Nov 2023
A New Computationally Simple Approach for Implementing Neural Networks
  with Output Hard Constraints
A New Computationally Simple Approach for Implementing Neural Networks with Output Hard Constraints
A. Konstantinov
Lev V. Utkin
27
10
0
19 Jul 2023
Worth of knowledge in deep learning
Worth of knowledge in deep learning
Hao Xu
Yuntian Chen
Dong-juan Zhang
18
0
0
03 Jul 2023
Physics-Regulated Deep Reinforcement Learning: Invariant Embeddings
Physics-Regulated Deep Reinforcement Learning: Invariant Embeddings
H. Cao
Y. Mao
L. Sha
Marco Caccamo
PINN
AI4CE
34
5
0
26 May 2023
Physics-informed Neural Network Combined with Characteristic-Based Split
  for Solving Navier-Stokes Equations
Physics-informed Neural Network Combined with Characteristic-Based Split for Solving Navier-Stokes Equations
Shuang Hu
Meiqin Liu
Senlin Zhang
Shanling Dong
Ronghao Zheng
PINN
14
6
0
21 Apr 2023
Physics-Informed Machine Learning: A Survey on Problems, Methods and
  Applications
Physics-Informed Machine Learning: A Survey on Problems, Methods and Applications
Zhongkai Hao
Songming Liu
Yichi Zhang
Chengyang Ying
Yao Feng
Hang Su
Jun Zhu
PINN
AI4CE
35
91
0
15 Nov 2022
TgDLF2.0: Theory-guided deep-learning for electrical load forecasting
  via Transformer and transfer learning
TgDLF2.0: Theory-guided deep-learning for electrical load forecasting via Transformer and transfer learning
Jiaxin Gao
Wenbo Hu
Dongxiao Zhang
Yuntian Chen
AI4TS
AI4CE
39
2
0
05 Oct 2022
Phy-Taylor: Physics-Model-Based Deep Neural Networks
Phy-Taylor: Physics-Model-Based Deep Neural Networks
Y. Mao
L. Sha
Huajie Shao
Yuliang Gu
Qixin Wang
Tarek F. Abdelzaher
PINN
AI4CE
34
1
0
27 Sep 2022
AutoKE: An automatic knowledge embedding framework for scientific
  machine learning
AutoKE: An automatic knowledge embedding framework for scientific machine learning
Mengge Du
Yuntian Chen
Dongxiao Zhang
AI4CE
33
11
0
11 May 2022
An Intriguing Property of Geophysics Inversion
An Intriguing Property of Geophysics Inversion
Yinan Feng
Yinpeng Chen
Shihang Feng
Peng Jin
Zicheng Liu
Youzuo Lin
44
12
0
28 Apr 2022
Integration of knowledge and data in machine learning
Integration of knowledge and data in machine learning
Yuntian Chen
Dongxiao Zhang
PINN
28
31
0
15 Feb 2022
Any equation is a forest: Symbolic genetic algorithm for discovering
  open-form partial differential equations (SGA-PDE)
Any equation is a forest: Symbolic genetic algorithm for discovering open-form partial differential equations (SGA-PDE)
Yuntian Chen
Yingtao Luo
Qiang Liu
Hao Xu
Dongxiao Zhang
AI4CE
25
56
0
09 Jun 2021
Physics-Guided Discovery of Highly Nonlinear Parametric Partial
  Differential Equations
Physics-Guided Discovery of Highly Nonlinear Parametric Partial Differential Equations
Yingtao Luo
Qiang Liu
Yuntian Chen
Wenbo Hu
Tian Tian
Jun Zhu
DiffM
53
4
0
02 Jun 2021
An Energy Approach to the Solution of Partial Differential Equations in
  Computational Mechanics via Machine Learning: Concepts, Implementation and
  Applications
An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications
E. Samaniego
C. Anitescu
S. Goswami
Vien Minh Nguyen-Thanh
Hongwei Guo
Khader M. Hamdia
Timon Rabczuk
X. Zhuang
PINN
AI4CE
159
1,342
0
27 Aug 2019
1