Meta-learning PINN loss functions

Meta-learning PINN loss functions

12 July 2021

Apostolos F. Psaros

Kenji Kawaguchi

George Karniadakis

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Papers citing "Meta-learning PINN loss functions"

12 / 12 papers shown

Title
BridgeNet: A Hybrid, Physics-Informed Machine Learning Framework for Solving High-Dimensional Fokker-Planck Equations Elmira Mirzabeigi Rezvan Salehi Kourosh Parand AI4CE 36 0 0 04 Jun 2025
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology Qingsong Xu Yilei Shi Jonathan Bamber Ye Tuo Ralf Ludwig Xiao Xiang Zhu AI4CE 143 10 0 08 Oct 2023
GPT-PINN: Generative Pre-Trained Physics-Informed Neural Networks toward non-intrusive Meta-learning of parametric PDEs Yanlai Chen Shawn Koohy PINN AI4CE 91 30 0 27 Mar 2023
PINN Training using Biobjective Optimization: The Trade-off between Data Loss and Residual Loss Fabian Heldmann Sarah Treibert Matthias Ehrhardt K. Klamroth 79 22 0 03 Feb 2023
Super-Resolution Analysis via Machine Learning: A Survey for Fluid Flows Kai Fukami K. Fukagata Kunihiko Taira AI4CE 81 110 0 26 Jan 2023
Residual-Quantile Adjustment for Adaptive Training of Physics-informed Neural Network Jiayue Han Zhiqiang Cai Zhiyou Wu Xiang Zhou 109 7 0 09 Sep 2022
A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks Chen-Chun Wu Min Zhu Qinyan Tan Yadhu Kartha Lu Lu 108 390 0 21 Jul 2022
Deep Random Vortex Method for Simulation and Inference of Navier-Stokes Equations Rui Zhang Tailin Wu Qi Meng Yue Wang Rongchan Zhu Bingguang Chen Zhi-Ming Ma Tie-Yan Liu 81 16 0 20 Jun 2022
Machine Learning in Heterogeneous Porous Materials Martha DÉli H. Deng Cedric G. Fraces K. Garikipati L. Graham‐Brady ... H. Tchelepi B. Važić Hari S. Viswanathan H. Yoon P. Zarzycki AI4CE 80 9 0 04 Feb 2022
A Metalearning Approach for Physics-Informed Neural Networks (PINNs): Application to Parameterized PDEs Michael Penwarden Shandian Zhe A. Narayan Robert M. Kirby PINN AI4CE 109 45 0 26 Oct 2021
Training multi-objective/multi-task collocation physics-informed neural network with student/teachers transfer learnings B. Bahmani WaiChing Sun PINN AI4CE 98 18 0 24 Jul 2021
Effective Regularization Through Loss-Function Metalearning Santiago Gonzalez Xin Qiu Risto Miikkulainen 132 0 0 02 Oct 2020