Physics-Informed Neural Operator for Learning Partial Differential Equations

6 November 2021

Kamyar Azizzadenesheli

Anima Anandkumar

AI4CE

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Papers citing "Physics-Informed Neural Operator for Learning Partial Differential Equations"

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Title
Group Equivariant Fourier Neural Operators for Partial Differential Equations Jacob Helwig Xuan Zhang Cong Fu Jerry Kurtin Stephan Wojtowytsch Shuiwang Ji AI4CE 44 28 0 09 Jun 2023
Towards Foundation Models for Scientific Machine Learning: Characterizing Scaling and Transfer Behavior Shashank Subramanian P. Harrington Kurt Keutzer W. Bhimji Dmitriy Morozov Michael W. Mahoney A. Gholami AI4CE 17 68 0 01 Jun 2023
Efficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators Dingcheng Luo Thomas O'Leary-Roseberry Peng Chen Omar Ghattas AI4CE 19 15 0 31 May 2023
Beyond Regular Grids: Fourier-Based Neural Operators on Arbitrary Domains Levi E. Lingsch M. Michelis Emmanuel de Bezenac Sirani M. Perera Robert K. Katzschmann Siddartha Mishra 19 7 0 31 May 2023
Scalable Transformer for PDE Surrogate Modeling Zijie Li Dule Shu A. Farimani 16 63 0 27 May 2023
LatentPINNs: Generative physics-informed neural networks via a latent representation learning M. H. Taufik T. Alkhalifah AI4CE DiffM 36 4 0 11 May 2023
Learning Neural PDE Solvers with Parameter-Guided Channel Attention M. Takamoto Francesco Alesiani Mathias Niepert 51 19 0 27 Apr 2023
Nonlocality and Nonlinearity Implies Universality in Operator Learning S. Lanthaler Zong-Yi Li Andrew M. Stuart 16 16 0 26 Apr 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems Subhayan De P. Brewick 13 0 0 25 Apr 2023
Critical Sampling for Robust Evolution Operator Learning of Unknown Dynamical Systems Ce Zhang Kailiang Wu Zhihai He 24 0 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 28 4 0 09 Apr 2023
Inductive biases in deep learning models for weather prediction Jannik Thümmel Matthias Karlbauer S. Otte C. Zarfl Georg Martius ... Thomas Scholten Ulrich Friedrich V. Wulfmeyer B. Goswami Martin Volker Butz AI4CE 31 4 0 06 Apr 2023
Resolution-Invariant Image Classification based on Fourier Neural Operators Samira Kabri Tim Roith Daniel Tenbrinck Martin Burger 21 5 0 02 Apr 2023
CONFIDE: Contextual Finite Differences Modelling of PDEs Ori Linial Orly Avner Dotan Di Castro 34 0 0 28 Mar 2023
Challenges and opportunities for machine learning in multiscale computational modeling Phong C. H. Nguyen Joseph B. Choi H. Udaykumar Stephen Seung-Yeob Baek AI4CE 19 8 0 22 Mar 2023
Recent Advances and Applications of Machine Learning in Experimental Solid Mechanics: A Review Hanxun Jin Enrui Zhang H. Espinosa AI4CE 15 67 0 14 Mar 2023
Machine Learning Enhanced Hankel Dynamic-Mode Decomposition Chris Curtis D. J. Alford-Lago Erik Bollt Andrew Tuma 15 9 0 11 Mar 2023
Ensemble flow reconstruction in the atmospheric boundary layer from spatially limited measurements through latent diffusion models A. Rybchuk M. Hassanaly N. Hamilton P. Doubrawa Mitchell J. Fulton L. Martínez‐Tossas AI4CE DiffM 17 16 0 01 Mar 2023
Learning Physical Models that Can Respect Conservation Laws Derek Hansen Danielle C. Maddix S. Alizadeh Gaurav Gupta Michael W. Mahoney AI4CE 27 42 0 21 Feb 2023
Magnetohydrodynamics with Physics Informed Neural Operators S. Rosofsky Eliu A. Huerta AI4CE 15 10 0 13 Feb 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 44 4 0 10 Feb 2023
Convolutional Neural Operators for robust and accurate learning of PDEs Bogdan Raonić Roberto Molinaro Tim De Ryck Tobias Rohner Francesca Bartolucci Rima Alaifari Siddhartha Mishra Emmanuel de Bezenac AAML 19 82 0 02 Feb 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 42 4 0 30 Jan 2023
TransNet: Transferable Neural Networks for Partial Differential Equations Zezhong Zhang F. Bao L. Ju Guannan Zhang 9 3 0 27 Jan 2023
Neural Inverse Operators for Solving PDE Inverse Problems Roberto Molinaro Yunan Yang Bjorn Engquist Siddhartha Mishra AI4CE 19 35 0 26 Jan 2023
Random Grid Neural Processes for Parametric Partial Differential Equations A. Vadeboncoeur Ieva Kazlauskaite Y. Papandreou F. Cirak Mark Girolami Ömer Deniz Akyildiz AI4CE 20 11 0 26 Jan 2023
Improved generalization with deep neural operators for engineering systems: Path towards digital twin Kazuma Kobayashi James Daniell S. B. Alam AI4CE 28 20 0 17 Jan 2023
Guiding continuous operator learning through Physics-based boundary constraints Nadim Saad Gaurav Gupta S. Alizadeh Danielle C. Maddix AI4CE 32 19 0 14 Dec 2022
Physics-guided Data Augmentation for Learning the Solution Operator of Linear Differential Equations Yemo Li Yiwen Pang Bin Shan AI4CE 18 3 0 08 Dec 2022
Deep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems Derick Nganyu Tanyu Jianfeng Ning Tom Freudenberg Nick Heilenkötter A. Rademacher U. Iben Peter Maass AI4CE 16 34 0 06 Dec 2022
Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators Ha Maust Zong-Yi Li Yixuan Wang Daniel Leibovici O. Bruno T. Hou Anima Anandkumar AI4CE 16 10 0 29 Nov 2022
A Physics-informed Diffusion Model for High-fidelity Flow Field Reconstruction Dule Shu Zijie Li A. Farimani DiffM AI4CE 30 121 0 26 Nov 2022
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing Salah A. Faroughi N. Pawar C. Fernandes Maziar Raissi Subasish Das N. Kalantari S. K. Mahjour PINN AI4CE 18 47 0 14 Nov 2022
A composable machine-learning approach for steady-state simulations on high-resolution grids Rishikesh Ranade C. Hill Lalit Ghule Jay Pathak AI4CE 17 7 0 11 Oct 2022
Residual-based error correction for neural operator accelerated infinite-dimensional Bayesian inverse problems Lianghao Cao Thomas O'Leary-Roseberry Prashant K. Jha J. Oden Omar Ghattas 16 26 0 06 Oct 2022
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities S. Lanthaler Roberto Molinaro Patrik Hadorn Siddhartha Mishra 37 24 0 03 Oct 2022
Solving Coupled Differential Equation Groups Using PINO-CDE Wenhao Ding Qing He Hanghang Tong Qingjing Wang Ping Wang OOD AI4CE 20 4 0 01 Oct 2022
Towards Multi-spatiotemporal-scale Generalized PDE Modeling Jayesh K. Gupta Johannes Brandstetter AI4CE 53 117 0 30 Sep 2022
Transformer Meets Boundary Value Inverse Problems Ruchi Guo Shuhao Cao Long Chen MedIm 28 20 0 29 Sep 2022
GeONet: a neural operator for learning the Wasserstein geodesic Andrew Gracyk Xiaohui Chen OT 14 2 0 28 Sep 2022
Variationally Mimetic Operator Networks Dhruv V. Patel Deep Ray M. Abdelmalik T. Hughes Assad A. Oberai 41 23 0 26 Sep 2022
Solving Seismic Wave Equations on Variable Velocity Models with Fourier Neural Operator Bian Li Hanchen Wang Shihang Feng Xiu Yang Youzuo Lin 63 32 0 25 Sep 2022
Clifford Neural Layers for PDE Modeling Johannes Brandstetter Rianne van den Berg Max Welling Jayesh K. Gupta AI4CE 60 79 0 08 Sep 2022
FourCastNet: Accelerating Global High-Resolution Weather Forecasting using Adaptive Fourier Neural Operators Thorsten Kurth Shashank Subramanian P. Harrington Jaideep Pathak Morteza Mardani D. Hall Andrea Miele K. Kashinath Anima Anandkumar AI4Cl 19 167 0 08 Aug 2022
PIXEL: Physics-Informed Cell Representations for Fast and Accurate PDE Solvers Namgyu Kang Byeonghyeon Lee Youngjoon Hong S. Yun Eunbyung Park PINN AI4CE 14 13 0 26 Jul 2022
Unsupervised Legendre-Galerkin Neural Network for Singularly Perturbed Partial Differential Equations Junho Choi N. Kim Youngjoon Hong AI4CE 16 0 0 21 Jul 2022
Learning differentiable solvers for systems with hard constraints Geoffrey Negiar Michael W. Mahoney Aditi S. Krishnapriyan 16 28 0 18 Jul 2022
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zong-Yi Li Daniel Zhengyu Huang Burigede Liu Anima Anandkumar AI4CE 108 246 0 11 Jul 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 35 140 0 26 May 2022
Variable-Input Deep Operator Networks Michael Prasthofer Tim De Ryck Siddhartha Mishra 37 23 0 23 May 2022