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

19 March 2021

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

50 / 316 papers shown

Title
A Physics-Guided Bi-Fidelity Fourier-Featured Operator Learning Framework for Predicting Time Evolution of Drag and Lift Coefficients Amirhossein Mollaali Izzet Sahin Iqrar Raza Christian Moya Guillermo Paniagua Guang Lin 21 2 0 07 Nov 2023
D2NO: Efficient Handling of Heterogeneous Input Function Spaces with Distributed Deep Neural Operators Zecheng Zhang Christian Moya Lu Lu Guang Lin Hayden Schaeffer 24 11 0 29 Oct 2023
A foundational neural operator that continuously learns without forgetting Tapas Tripura Souvik Chakraborty CLL 43 7 0 29 Oct 2023
Efficient kernel surrogates for neural network-based regression S. Qadeer A. Engel Amanda A. Howard Adam Tsou Max Vargas P. Stinis Tony Chiang 11 5 0 28 Oct 2023
An operator preconditioning perspective on training in physics-informed machine learning Tim De Ryck Florent Bonnet Siddhartha Mishra Emmanuel de Bezenac AI4CE 39 14 0 09 Oct 2023
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 18 9 0 08 Oct 2023
Investigating the Ability of PINNs To Solve Burgers' PDE Near Finite-Time BlowUp Dibyakanti Kumar Anirbit Mukherjee 31 2 0 08 Oct 2023
Spectral operator learning for parametric PDEs without data reliance Junho Choi Taehyun Yun Namjung Kim Youngjoon Hong 19 8 0 03 Oct 2023
Deep Learning in Deterministic Computational Mechanics L. Herrmann Stefan Kollmannsberger AI4CE PINN 35 0 0 27 Sep 2023
Neural Operators for Accelerating Scientific Simulations and Design Kamyar Azzizadenesheli Nikola B. Kovachki Zong-Yi Li Miguel Liu-Schiaffini Jean Kossaifi Anima Anandkumar AI4CE 29 121 0 27 Sep 2023
CFDBench: A Large-Scale Benchmark for Machine Learning Methods in Fluid Dynamics Yining Luo Yingfa Chen Zhen Zhang AI4CE 23 8 0 13 Sep 2023
Physics-informed machine learning of the correlation functions in bulk fluids Wenqian Chen Peiyuan Gao P. Stinis 14 6 0 02 Sep 2023
Scattering with Neural Operators Sebastian Mizera AI4CE 25 9 0 28 Aug 2023
Breaking Boundaries: Distributed Domain Decomposition with Scalable Physics-Informed Neural PDE Solvers Arthur Feeney Zitong Li Ramin Bostanabad Aparna Chandramowlishwaran AI4CE 16 1 0 28 Aug 2023
Learning Only On Boundaries: a Physics-Informed Neural operator for Solving Parametric Partial Differential Equations in Complex Geometries Z. Fang Sifan Wang P. Perdikaris AI4CE 17 11 0 24 Aug 2023
Adaptive Uncertainty-Guided Model Selection for Data-Driven PDE Discovery Pongpisit Thanasutives Takashi Morita M. Numao Ken-ichi Fukui 22 2 0 20 Aug 2023
On the Approximation of Bi-Lipschitz Maps by Invertible Neural Networks Bangti Jin Zehui Zhou Jun Zou 26 3 0 18 Aug 2023
Physics-Informed Deep Learning to Reduce the Bias in Joint Prediction of Nitrogen Oxides Lianfa Li Roxana Khalili F. Lurmann N. Pavlovic Jun Wu ... M. Franklin T. Bastain S. Farzan C. Breton R. Habre AI4CE 14 2 0 14 Aug 2023
Fourier neural operator for learning solutions to macroscopic traffic flow models: Application to the forward and inverse problems Bilal Thonnam Thodi Sai Venkata Ramana Ambadipudi S. Jabari AI4CE 25 13 0 14 Aug 2023
PDE-Refiner: Achieving Accurate Long Rollouts with Neural PDE Solvers Phillip Lippe Bastiaan S. Veeling P. Perdikaris Richard E. Turner Johannes Brandstetter DiffM AI4CE 33 76 0 10 Aug 2023
Fine-Tune Language Models as Multi-Modal Differential Equation Solvers Liu Yang Siting Liu Stanley J. Osher 19 0 0 09 Aug 2023
Sound propagation in realistic interactive 3D scenes with parameterized sources using deep neural operators N. Borrel-Jensen S. Goswami A. Engsig-Karup George Karniadakis C. Jeong AI4CE 31 16 0 09 Aug 2023
Comparison of Neural FEM and Neural Operator Methods for applications in Solid Mechanics Stefan Hildebrand Sandra Klinge AI4CE 14 2 0 04 Jul 2023
Learning Generic Solutions for Multiphase Transport in Porous Media via the Flux Functions Operator W. Diab Omar Chaabi Shayma Alkobaisi A. Awotunde M. A. Kobaisi AI4CE 19 2 0 03 Jul 2023
Accelerated primal-dual methods with enlarged step sizes and operator learning for nonsmooth optimal control problems Yongcun Song Xiaoming Yuan Hangrui Yue AI4CE 19 2 0 01 Jul 2023
Hyena Neural Operator for Partial Differential Equations Saurabh Patil Zijie Li Amir Barati Farimani AI4CE 24 4 0 28 Jun 2023
Capturing the Diffusive Behavior of the Multiscale Linear Transport Equations by Asymptotic-Preserving Convolutional DeepONets Keke Wu Xiongbin Yan Shi Jin Zheng Ma 28 6 0 28 Jun 2023
Residual-Based Error Corrector Operator to Enhance Accuracy and Reliability of Neural Operator Surrogates of Nonlinear Variational Boundary-Value Problems Prashant K. Jha 32 4 0 21 Jun 2023
Towards a Machine-Learned Poisson Solver for Low-Temperature Plasma Simulations in Complex Geometries Ihda Chaerony Siffa M. Becker K. Weltmann J. Trieschmann 30 2 0 13 Jun 2023
Group Equivariant Fourier Neural Operators for Partial Differential Equations Jacob Helwig Xuan Zhang Cong Fu Jerry Kurtin Stephan Wojtowytsch Shuiwang Ji AI4CE 47 28 0 09 Jun 2023
An enrichment approach for enhancing the expressivity of neural operators with applications to seismology E. Haghighat U. Waheed George Karniadakis 19 0 0 07 Jun 2023
Data driven localized wave solution of the Fokas-Lenells equation using modified PINN G. K. Saharia Sagardeep Talukdar Riki Dutta S. Nandy 6 1 0 03 Jun 2023
CS4ML: A general framework for active learning with arbitrary data based on Christoffel functions Ben Adcock Juan M. Cardenas N. Dexter 24 6 0 01 Jun 2023
Scalable Transformer for PDE Surrogate Modeling Zijie Li Dule Shu A. Farimani 24 64 0 27 May 2023
Fourier-DeepONet: Fourier-enhanced deep operator networks for full waveform inversion with improved accuracy, generalizability, and robustness Min Zhu Shihang Feng Youzuo Lin Lu Lu 22 60 0 26 May 2023
A Generative Modeling Framework for Inferring Families of Biomechanical Constitutive Laws in Data-Sparse Regimes Minglang Yin Zongren Zou Enrui Zhang C. Cavinato J. Humphrey George Karniadakis SyDa MedIm AI4CE 53 11 0 04 May 2023
Kernel Methods are Competitive for Operator Learning Pau Batlle Matthieu Darcy Bamdad Hosseini H. Owhadi 8 38 0 26 Apr 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems Subhayan De P. Brewick 24 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 11 10 0 25 Apr 2023
In-Context Operator Learning with Data Prompts for Differential Equation Problems Liu Yang Siting Liu Tingwei Meng Stanley J. Osher 30 54 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 40 20 0 15 Apr 2023
Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equations Tengfei Xu Dachuan Liu Peng Hao Bo Wang 34 4 0 09 Apr 2023
A Framework for Combustion Chemistry Acceleration with DeepONets Anuj Kumar T. Echekki 24 1 0 06 Apr 2023
Solving High-Dimensional Inverse Problems with Auxiliary Uncertainty via Operator Learning with Limited Data Joseph L. Hart Mamikon A. Gulian Indu Manickam L. Swiler 8 8 0 20 Mar 2023
A Multifidelity deep operator network approach to closure for multiscale systems Shady E. Ahmed P. Stinis AI4CE 25 12 0 15 Mar 2023
Recent Advances and Applications of Machine Learning in Experimental Solid Mechanics: A Review Hanxun Jin Enrui Zhang H. Espinosa AI4CE 20 68 0 14 Mar 2023
Error convergence and engineering-guided hyperparameter search of PINNs: towards optimized I-FENN performance Panos Pantidis Habiba Eldababy Christopher Miguel Tagle M. Mobasher 27 20 0 03 Mar 2023
GNOT: A General Neural Operator Transformer for Operator Learning Zhongkai Hao Zhengyi Wang Hang Su Chengyang Ying Yinpeng Dong Songming Liu Ze Cheng Jian Song Jun Zhu AI4CE 11 159 0 28 Feb 2023
DeepOHeat: Operator Learning-based Ultra-fast Thermal Simulation in 3D-IC Design Z. Liu Yixing Li Jing Hu Xinling Yu Shi-En Shiau Xin Ai Zhiyu Zeng Zheng-Wei Zhang AI4CE 25 16 0 25 Feb 2023
Elliptic PDE learning is provably data-efficient N. Boullé Diana Halikias Alex Townsend 17 18 0 24 Feb 2023