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Subspace Decomposition based DNN algorithm for elliptic type multi-scale
  PDEs
v1v2 (latest)

Subspace Decomposition based DNN algorithm for elliptic type multi-scale PDEs

10 December 2021
Xi-An Li
Z. Xu
Lei Zhang
ArXiv (abs)PDFHTML

Papers citing "Subspace Decomposition based DNN algorithm for elliptic type multi-scale PDEs"

5 / 5 papers shown
Title
Frequency-adaptive tensor neural networks for high-dimensional multi-scale problems
Frequency-adaptive tensor neural networks for high-dimensional multi-scale problems
Jizu Huang
Rukang You
Tao Zhou
56
0
0
21 Aug 2025
A practical PINN framework for multi-scale problems with multi-magnitude
  loss terms
A practical PINN framework for multi-scale problems with multi-magnitude loss termsJournal of Computational Physics (JCP), 2023
Yuanbo Wang
Yanzhong Yao
Jiawei Guo
Zhiming Gao
AI4CE
125
39
0
13 Aug 2023
A Block-Coordinate Approach of Multi-level Optimization with an
  Application to Physics-Informed Neural Networks
A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural NetworksComputational optimization and applications (Comput. Optim. Appl.), 2023
Serge Gratton
Valentin Mercier
E. Riccietti
P. Toint
AI4CE
187
11
0
23 May 2023
Overview frequency principle/spectral bias in deep learning
Overview frequency principle/spectral bias in deep learningCommunication on Applied Mathematics and Computation (CAMC), 2022
Z. Xu
Yaoyu Zhang
Yaoyu Zhang
FaML
292
114
0
19 Jan 2022
Towards Understanding the Condensation of Neural Networks at Initial
  Training
Towards Understanding the Condensation of Neural Networks at Initial TrainingNeural Information Processing Systems (NeurIPS), 2021
Hanxu Zhou
Qixuan Zhou
Yaoyu Zhang
Yaoyu Zhang
Z. Xu
MLTAI4CE
256
32
0
25 May 2021
1