Binary structured physics-informed neural networks for solving equations
with rapidly changing solutions

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Binary structured physics-informed neural networks for solving equations with rapidly changing solutions

23 January 2024

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Papers citing "Binary structured physics-informed neural networks for solving equations with rapidly changing solutions"

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Title
Physics-Informed Neural Networks with Adaptive Localized Artificial Viscosity E. Coutinho M. DallÁqua L. McClenny M. Zhong U. Braga-Neto Eduardo Gildin 35 40 0 15 Mar 2022
Error analysis for physics informed neural networks (PINNs) approximating Kolmogorov PDEs Tim De Ryck Siddhartha Mishra PINN 93 103 0 28 Jun 2021
A Discontinuity Capturing Shallow Neural Network for Elliptic Interface Problems Wei-Fan Hu Te-Sheng Lin M. Lai 106 57 0 10 Jun 2021
SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs A. A. Ramabathiran P. Ramachandran PINN AI4CE 125 79 0 25 Feb 2021
Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism L. McClenny U. Braga-Neto PINN 88 461 0 07 Sep 2020
When and why PINNs fail to train: A neural tangent kernel perspective Sizhuang He Xinling Yu P. Perdikaris 141 923 0 28 Jul 2020
Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks Colby Wight Jia Zhao 77 225 0 09 Jul 2020
Equalization Loss for Long-Tailed Object Recognition Jingru Tan Changbao Wang Buyu Li Quanquan Li Wanli Ouyang Changqing Yin Junjie Yan 325 466 0 11 Mar 2020
Understanding and mitigating gradient pathologies in physics-informed neural networks Sizhuang He Yujun Teng P. Perdikaris AI4CE PINN 112 297 0 13 Jan 2020
DropEdge: Towards Deep Graph Convolutional Networks on Node Classification Yu Rong Wenbing Huang Tingyang Xu Junzhou Huang 113 1,346 0 25 Jul 2019
DeepXDE: A deep learning library for solving differential equations Lu Lu Xuhui Meng Zhiping Mao George Karniadakis PINN AI4CE 99 1,544 0 10 Jul 2019
Automatic differentiation in machine learning: a survey A. G. Baydin Barak A. Pearlmutter Alexey Radul J. Siskind PINN AI4CE ODL 172 2,820 0 20 Feb 2015

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