Papers citing 'Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets'

Title
Kernel Methods are Competitive for Operator LearningJournal of Computational Physics (JCP), 2023 Pau Batlle Matthieu Darcy Bamdad Hosseini H. Owhadi 265 62 0 26 Apr 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems Subhayan De P. Brewick 188 0 0 25 Apr 2023
Efficient Bayesian inference using physics-informed invertible neural networks for inverse problems Xiaofei Guan Xintong Wang Hao Wu Zihao Yang Peng Yu PINN 237 16 0 25 Apr 2023
In-Context Operator Learning with Data Prompts for Differential Equation ProblemsProceedings of the National Academy of Sciences of the United States of America (PNAS), 2023 Liu Yang Siting Liu Tingwei Meng Stanley J. Osher 310 89 0 17 Apr 2023
Learning in latent spaces improves the predictive accuracy of deep neural operators Katiana Kontolati S. Goswami George Karniadakis Michael D. Shields AI4CE 214 24 0 15 Apr 2023
Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equationsJournal of the mechanics and physics of solids (JMPS), 2023 Tengfei Xu Dachuan Liu Peng Hao Bo Wang 296 10 0 09 Apr 2023
A Framework for Combustion Chemistry Acceleration with DeepONets Anuj Kumar T. Echekki 111 2 0 06 Apr 2023
Solving High-Dimensional Inverse Problems with Auxiliary Uncertainty via Operator Learning with Limited DataJournal of Machine Learning for Modeling and Computing (JMLMC), 2023 Joseph L. Hart Mamikon A. Gulian Indu Manickam L. Swiler 185 10 0 20 Mar 2023
A Multifidelity deep operator network approach to closure for multiscale systemsComputer Methods in Applied Mechanics and Engineering (CMAME), 2023 Shady E. Ahmed P. Stinis AI4CE 185 20 0 15 Mar 2023
Recent Advances and Applications of Machine Learning in Experimental Solid Mechanics: A ReviewApplied Mechanics Review (AMR), 2023 Hanxun Jin Enrui Zhang H. Espinosa AI4CE 412 98 0 14 Mar 2023
Error convergence and engineering-guided hyperparameter search of PINNs: towards optimized I-FENN performanceSocial Science Research Network (SSRN), 2023 Panos Pantidis Habiba Eldababy Christopher Miguel Tagle M. Mobasher 211 26 0 03 Mar 2023
GNOT: A General Neural Operator Transformer for Operator LearningInternational Conference on Machine Learning (ICML), 2023 Zhongkai Hao Zhengyi Wang Hang Su Chengyang Ying Yinpeng Dong Songming Liu Ze Cheng Jian Song Jun Zhu AI4CE 251 287 0 28 Feb 2023
DeepOHeat: Operator Learning-based Ultra-fast Thermal Simulation in 3D-IC DesignDesign Automation Conference (DAC), 2023 Ziyue Liu Yixing Li Jing Hu Xinling Yu Shi-En Shiau Xin Ai Zhiyu Zeng Zheng Zhang AI4CE 129 40 0 25 Feb 2023
Elliptic PDE learning is provably data-efficientProceedings of the National Academy of Sciences of the United States of America (PNAS), 2023 N. Boullé Diana Halikias Alex Townsend 326 32 0 24 Feb 2023
NeuralStagger: Accelerating Physics-constrained Neural PDE Solver with Spatial-temporal DecompositionInternational Conference on Machine Learning (ICML), 2023 Xinquan Huang Wenlei Shi Qi Meng Yue Wang Xiaotian Gao Jia Zhang Tie-Yan Liu AI4CE 194 12 0 20 Feb 2023
The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach Yongcun Song Xiaoming Yuan Hangrui Yue PINN 178 0 0 16 Feb 2023
Magnetohydrodynamics with Physics Informed Neural Operators S. Rosofsky Eliu A. Huerta AI4CE 137 17 0 13 Feb 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic RepresentationIEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2023 Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 692 12 0 10 Feb 2023
Mixed formulation of physics-informed neural networks for thermo-mechanically coupled systems and heterogeneous domainsInternational Journal for Numerical Methods in Engineering (IJNME), 2023 Ali Harandi Ahmad Moeineddin Michael Kaliske Stefanie Reese Shahed Rezaei AI4CE PINN 196 57 0 09 Feb 2023
IB-UQ: Information bottleneck based uncertainty quantification for neural function regression and neural operator learningJournal of Computational Physics (JCP), 2023 Ling Guo Hao Wu Wenwen Zhou Yan Wang Tao Zhou UQCV 272 21 0 07 Feb 2023
A neural operator-based surrogate solver for free-form electromagnetic inverse designACS Photonics (ACS Photonics), 2023 Yannick Augenstein T. Repän C. Rockstuhl AI4CE 197 37 0 04 Feb 2023
Convolutional Neural Operators for robust and accurate learning of PDEsNeural Information Processing Systems (NeurIPS), 2023 Bogdan Raonić Roberto Molinaro Tim De Ryck Tobias Rohner Francesca Bartolucci Rima Alaifari Siddhartha Mishra Emmanuel de Bezenac AAML 421 159 0 02 Feb 2023
Learning Functional TransductionNeural Information Processing Systems (NeurIPS), 2023 Mathieu Chalvidal Thomas Serre Rufin VanRullen AI4CE 334 4 0 01 Feb 2023
Neural Control of Parametric Solutions for High-dimensional Evolution PDEs Nathan Gaby X. Ye Haomin Zhou 303 9 0 31 Jan 2023
Physics-constrained 3D Convolutional Neural Networks for ElectrodynamicsAPL Machine Learning (AML), 2023 A. Scheinker R. Pokharel 118 16 0 31 Jan 2023
Neural Operator: Is data all you need to model the world? An insight into the impact of Physics Informed Machine Learning Hrishikesh Viswanath Md Ashiqur Rahman Abhijeet Vyas Andrey Shor Beatriz Medeiros Stephanie Hernandez S. Prameela Aniket Bera PINN AI4CE 264 7 0 30 Jan 2023
On Approximating the Dynamic Response of Synchronous Generators via Operator Learning: A Step Towards Building Deep Operator-based Power Grid Simulators Christian Moya Guang Lin Amirthagunaraj Yogarathnam Meng Yue 153 13 0 29 Jan 2023
TransNet: Transferable Neural Networks for Partial Differential Equations Zezhong Zhang F. Bao L. Ju Guannan Zhang 164 35 0 27 Jan 2023
Random Grid Neural Processes for Parametric Partial Differential EquationsInternational Conference on Machine Learning (ICML), 2023 Arnaud Vadeboncoeur Ieva Kazlauskaite Y. Papandreou F. Cirak Mark Girolami Ömer Deniz Akyildiz AI4CE 236 11 0 26 Jan 2023
Evolve Smoothly, Fit Consistently: Learning Smooth Latent Dynamics For Advection-Dominated SystemsInternational Conference on Learning Representations (ICLR), 2023 Z. Y. Wan Leonardo Zepeda-Núñez Anudhyan Boral Fei Sha BDL AI4CE 194 14 0 25 Jan 2023
Explainable, Interpretable & Trustworthy AI for Intelligent Digital Twin: Case Study on Remaining Useful LifeEngineering applications of artificial intelligence (Eng. Appl. Artif. Intell.), 2023 Kazuma Kobayashi S. B. Alam 199 95 0 17 Jan 2023
L-HYDRA: Multi-Head Physics-Informed Neural Networks Zongren Zou George Karniadakis AI4CE 130 39 0 05 Jan 2023
Metalearning generalizable dynamics from trajectoriesPhysical Review Letters (PRL), 2023 Qiaofeng Li Tianyi Wang V. Roychowdhury M. Jawed AI4CE 275 13 0 03 Jan 2023
Deep Learning and Computational Physics (Lecture Notes) Deep Ray Orazio Pinti Assad A. Oberai PINN AI4CE 130 8 0 03 Jan 2023
INO: Invariant Neural Operators for Learning Complex Physical Systems with Momentum ConservationInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2022 Ning Liu Yue Yu Huaiqian You Neeraj Tatikola AI4CE 214 31 0 29 Dec 2022
Guiding continuous operator learning through Physics-based boundary constraintsInternational Conference on Learning Representations (ICLR), 2022 Nadim Saad Gaurav Gupta S. Alizadeh Danielle C. Maddix AI4CE 213 26 0 14 Dec 2022
Reliable extrapolation of deep neural operators informed by physics or sparse observationsSocial Science Research Network (SSRN), 2022 Min Zhu Handi Zhang Anran Jiao George Karniadakis Lu Lu 227 124 0 13 Dec 2022
Transfer Learning Enhanced DeepONet for Long-Time Prediction of Evolution EquationsAAAI Conference on Artificial Intelligence (AAAI), 2022 Wuzhe Xu Yulong Lu Li Wang 178 42 0 09 Dec 2022
Physics-guided Data Augmentation for Learning the Solution Operator of Linear Differential EquationsInternational Conference on Cloud Computing and Intelligence Systems (ICCCIS), 2022 Yemo Li Yiwen Pang Bin Shan AI4CE 226 8 0 08 Dec 2022
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification ProblemsInverse Problems (IP), 2022 Derick Nganyu Tanyu Jianfeng Ning Tom Freudenberg Nick Heilenkötter A. Rademacher U. Iben Peter Maass AI4CE 235 50 0 06 Dec 2022
WarpPINN: Cine-MR image registration with physics-informed neural networks Pablo Arratia López Hernán Mella S. Uribe D. Hurtado F. Sahli Costabal 58 27 0 22 Nov 2022
Bayesian Inversion with Neural Operator (BINO) for Modeling Subdiffusion: Forward and Inverse ProblemsJournal of Computational and Applied Mathematics (JCAM), 2022 Xiongbin Yan Z. Xu Zheng Ma 190 3 0 22 Nov 2022
Physics-Informed Koopman Network Yuying Liu A. Sholokhov Hassan Mansour S. Nabi AI4CE 200 3 0 17 Nov 2022
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 322 149 0 15 Nov 2022
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing S. Faroughi N. Pawar C. Fernandes Maziar Raissi Subasish Das N. Kalantari S. K. Mahjour PINN AI4CE 210 66 0 14 Nov 2022
Adaptive physics-informed neural operator for coarse-grained non-equilibrium flowsScientific Reports (Sci Rep), 2022 Ivan Zanardi Simone Venturi M. Panesi AI4CE 222 22 0 27 Oct 2022
Partial Differential Equations Meet Deep Neural Networks: A SurveyIEEE Transactions on Neural Networks and Learning Systems (TNNLS), 2022 Shudong Huang Wentao Feng Chenwei Tang Jiancheng Lv AI4CE AIMat 221 34 0 27 Oct 2022
Towards a machine learning pipeline in reduced order modelling for inverse problems: neural networks for boundary parametrization, dimensionality reduction and solution manifold approximationJournal of Scientific Computing (J. Sci. Comput.), 2022 A. Ivagnes N. Demo G. Rozza MedIm AI4CE 154 9 0 26 Oct 2022
Bayesian deep learning framework for uncertainty quantification in high dimensions Jeahan Jung Minseok Choi BDL UQCV 124 1 0 21 Oct 2022
Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problemsJournal of Computational Physics (JCP), 2022 Lianghao Cao Thomas O'Leary-Roseberry Prashant K. Jha J. Oden Omar Ghattas 242 33 0 06 Oct 2022