Understanding and mitigating gradient pathologies in physics-informed neural networks

13 January 2020

Papers citing "Understanding and mitigating gradient pathologies in physics-informed neural networks"

50 / 114 papers shown

Title
A Physics-Informed Convolutional Long Short Term Memory Statistical Model for Fluid Thermodynamics Simulations Luca Menicali Andrew Grace David H. Richter Stefano Castruccio AI4CE 22 0 0 16 May 2025
Challenges and Advancements in Modeling Shock Fronts with Physics-Informed Neural Networks: A Review and Benchmarking Study J. Abbasi Ameya D. Jagtap Ben Moseley Aksel Hiorth P. Andersen PINN AI4CE 49 1 0 14 Mar 2025
Unraveling particle dark matter with Physics-Informed Neural Networks M.P. Bento H.B. Câmara J.F. Seabra 67 0 0 24 Feb 2025
The Finite Element Neural Network Method: One Dimensional Study Mohammed Abda Elsa Piollet Christopher Blake Frédérick P. Gosselin 71 0 0 21 Jan 2025
Variational autoencoders with latent high-dimensional steady geometric flows for dynamics Andrew Gracyk DRL 69 0 0 03 Jan 2025
Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases Madison Cooley Varun Shankar Robert M. Kirby Shandian Zhe 32 2 0 04 Oct 2024
Learning To Solve Differential Equation Constrained Optimization Problems Vincenzo Di Vito M. Mohammadian K. Baker Ferdinando Fioretto AI4CE 38 3 0 02 Oct 2024
General-Kindred Physics-Informed Neural Network to the Solutions of Singularly Perturbed Differential Equations Sen Wang Peizhi Zhao Qinglong Ma Tao Song PINN 28 3 0 27 Aug 2024
Adapting Physics-Informed Neural Networks to Improve ODE Optimization in Mosquito Population Dynamics D. V. Cuong Branislava Lalić Mina Petrić Binh Nguyen M. Roantree PINN AI4CE 47 2 0 07 Jun 2024
Geometry-aware framework for deep energy method: an application to structural mechanics with hyperelastic materials Thi Nguyen Khoa Nguyen T. Dairay Raphael Meunier Christophe Millet Mathilde Mougeot AI4CE PINN 43 0 0 06 May 2024
Physics-Informed Neural Networks: Minimizing Residual Loss with Wide Networks and Effective Activations Nima Hosseini Dashtbayaz G. Farhani Boyu Wang Charles Ling 28 1 0 02 May 2024
Label Propagation Training Schemes for Physics-Informed Neural Networks and Gaussian Processes Ming Zhong Dehao Liu Raymundo Arroyave U. Braga-Neto AI4CE SSL 26 1 0 08 Apr 2024
Architectural Strategies for the optimization of Physics-Informed Neural Networks Hemanth Saratchandran Shin-Fang Chng Simon Lucey AI4CE 39 0 0 05 Feb 2024
DeepLag: Discovering Deep Lagrangian Dynamics for Intuitive Fluid Prediction Qilong Ma Haixu Wu Lanxiang Xing Jianmin Wang Mingsheng Long AI4CE 29 0 0 04 Feb 2024
Transolver: A Fast Transformer Solver for PDEs on General Geometries Haixu Wu Huakun Luo Haowen Wang Jianmin Wang Mingsheng Long AI4CE 49 42 0 04 Feb 2024
Ricci flow-guided autoencoders in learning time-dependent dynamics Andrew Gracyk AI4CE 36 1 0 26 Jan 2024
Binary structured physics-informed neural networks for solving equations with rapidly changing solutions Yanzhi Liu Ruifan Wu Ying Jiang PINN 26 2 0 23 Jan 2024
Physics-informed neural network for modeling dynamic linear elasticity Vijay Kag Venkatesh Gopinath PINN 9 1 0 23 Dec 2023
Physics-Informed Neural Network for Discovering Systems with Unmeasurable States with Application to Lithium-Ion Batteries Yuichi Kajiura Jorge Espin Dong Zhang PINN 18 0 0 27 Nov 2023
Solving High Frequency and Multi-Scale PDEs with Gaussian Processes Shikai Fang Madison Cooley Da Long Shibo Li R. Kirby Shandian Zhe 40 4 0 08 Nov 2023
Lie Point Symmetry and Physics Informed Networks Tara Akhound-Sadegh Laurence Perreault Levasseur Johannes Brandstetter Max Welling Siamak Ravanbakhsh PINN 34 10 0 07 Nov 2023
Bayesian Reasoning for Physics Informed Neural Networks K. Graczyk Kornel Witkowski 38 0 0 25 Aug 2023
A Critical Review of Physics-Informed Machine Learning Applications in Subsurface Energy Systems Abdeldjalil Latrach M. L. Malki Misael Morales Mohamed Mehana M. Rabiei PINN AI4CE 25 29 0 06 Aug 2023
Towards Long-Term predictions of Turbulence using Neural Operators Fernando González Franccois-Xavier Demoulin Simon Bernard AI4CE 24 0 0 25 Jul 2023
A Generalized Schwarz-type Non-overlapping Domain Decomposition Method using Physics-constrained Neural Networks S. Basir Inanc Senocak AI4CE 25 3 0 23 Jul 2023
A Deep Learning Framework for Solving Hyperbolic Partial Differential Equations: Part I Rajat Arora PINN AI4CE 27 1 0 09 Jul 2023
Physics-informed radial basis network (PIRBN): A local approximating neural network for solving nonlinear PDEs Jinshuai Bai Guirong Liu Ashish Gupta Laith Alzubaidi Xinzhu Feng Yuantong T. Gu PINN 26 1 0 13 Apr 2023
Solving High-Dimensional PDEs with Latent Spectral Models Haixu Wu Tengge Hu Huakun Luo Jianmin Wang Mingsheng Long AI4CE 65 38 0 30 Jan 2023
BINN: A deep learning approach for computational mechanics problems based on boundary integral equations Jia Sun Yinghua Liu Yizheng Wang Z. Yao Xiao-ping Zheng PINN AI4CE 22 23 0 11 Jan 2023
An unsupervised latent/output physics-informed convolutional-LSTM network for solving partial differential equations using peridynamic differential operator A. Mavi A. Bekar E. Haghighat E. Madenci 65 28 0 21 Oct 2022
An Improved Structured Mesh Generation Method Based on Physics-informed Neural Networks Xinhai Chen Jie Liu Junjun Yan Zhichao Wang Chunye Gong AI4CE 26 6 0 18 Oct 2022
Inverse modeling of nonisothermal multiphase poromechanics using physics-informed neural networks Daniel Amini E. Haghighat R. Juanes PINN AI4CE 25 32 0 07 Sep 2022
Modelling of physical systems with a Hopf bifurcation using mechanistic models and machine learning K. H. Lee David A.W. Barton L. Renson 43 12 0 07 Sep 2022
Physics-Informed Neural Network Method for Parabolic Differential Equations with Sharply Perturbed Initial Conditions Yifei Zong Qizhi He A. Tartakovsky PINN 17 18 0 18 Aug 2022
Physics-Informed Neural Networks for Shell Structures Jan-Hendrik Bastek D. Kochmann AI4CE 16 51 0 26 Jul 2022
Data-driven initialization of deep learning solvers for Hamilton-Jacobi-Bellman PDEs Anastasia Borovykh D. Kalise Alexis Laignelet P. Parpas 21 6 0 19 Jul 2022
Adaptive Self-supervision Algorithms for Physics-informed Neural Networks Shashank Subramanian Robert M. Kirby Michael W. Mahoney A. Gholami 30 25 0 08 Jul 2022
PhySRNet: Physics informed super-resolution network for application in computational solid mechanics Rajat Arora AI4CE 27 10 0 30 Jun 2022
An extensible Benchmarking Graph-Mesh dataset for studying Steady-State Incompressible Navier-Stokes Equations F. Bonnet Jocelyn Ahmed Mazari T. Munzer P. Yser Patrick Gallinari AI4CE 55 10 0 29 Jun 2022
Enforcing continuous symmetries in physics-informed neural network for solving forward and inverse problems of partial differential equations Zhi‐Yong Zhang Hui Zhang Li-sheng Zhang Lei‐Lei Guo PINN AI4CE 16 28 0 19 Jun 2022
Physics-informed neural networks for PDE-constrained optimization and control Jostein Barry-Straume A. Sarshar Andrey A. Popov Adrian Sandu PINN AI4CE 29 14 0 06 May 2022
RAR-PINN algorithm for the data-driven vector-soliton solutions and parameter discovery of coupled nonlinear equations Shulan Qin Min Li Tao Xu Shaotong Dong 17 9 0 29 Apr 2022
Competitive Physics Informed Networks Qi Zeng Yash Kothari Spencer H. Bryngelson F. Schafer PINN 19 20 0 23 Apr 2022
Super Resolution for Turbulent Flows in 2D: Stabilized Physics Informed Neural Networks Mykhaylo Zayats Malgorzata J. Zimoñ K. Yeo Sergiy Zhuk 18 5 0 15 Apr 2022
Calibrating constitutive models with full-field data via physics informed neural networks Craig M. Hamel K. Long S. Kramer AI4CE 27 28 0 30 Mar 2022
A Deep Learning Approach for Thermal Plume Prediction of Groundwater Heat Pumps Raphael Leiteritz K. Davis Miriam Schulte Dirk Pflüger AI4CE 18 2 0 29 Mar 2022
DeepONet-Grid-UQ: A Trustworthy Deep Operator Framework for Predicting the Power Grid's Post-Fault Trajectories Christian Moya Shiqi Zhang Meng Yue Guang Lin 22 42 0 15 Feb 2022
Physics-informed neural networks for non-Newtonian fluid thermo-mechanical problems: an application to rubber calendering process Thi Nguyen Khoa Nguyen T. Dairay Raphael Meunier Mathilde Mougeot PINN AI4CE 81 29 0 31 Jan 2022
Physics-informed neural networks for modeling rate- and temperature-dependent plasticity Rajat Arora P. Kakkar Biswadip Dey Amit Chakraborty PINN AI4CE 41 19 0 20 Jan 2022
How to Avoid Trivial Solutions in Physics-Informed Neural Networks Raphael Leiteritz Dirk Pflüger AI4CE PINN 14 21 0 10 Dec 2021