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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AhmedML: High-Fidelity Computational Fluid Dynamics Dataset for Incompressible, Low-Speed Bluff Body Aerodynamics Neil Ashton Danielle C. Maddix Samuel Gundry Parisa M. Shabestari AI4CE 38 2 0 30 Jul 2024
Weak neural variational inference for solving Bayesian inverse problems without forward models: applications in elastography Vincent C. Scholz Yaohua Zang P. Koutsourelakis 34 2 0 30 Jul 2024
Physics-embedded Fourier Neural Network for Partial Differential Equations Qingsong Xu Nils Thuerey Yilei Shi Jonathan Bamber Chaojun Ouyang Xiao Xiang Zhu AI4CE 29 0 0 15 Jul 2024
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 29 42 0 09 Jul 2024
PAPM: A Physics-aware Proxy Model for Process Systems Pengwei Liu Zhongkai Hao Xingyu Ren Hangjie Yuan Jiayang Ren Dong Ni AI4CE PINN 40 0 0 07 Jul 2024
Science-Informed Deep Learning (ScIDL) With Applications to Wireless Communications Atefeh Termehchi Ekram Hossain Isaac Woungang 35 0 0 29 Jun 2024
DiffusionPDE: Generative PDE-Solving Under Partial Observation Jiahe Huang Guandao Yang Zichen Wang Jeong Joon Park DiffM 54 14 0 25 Jun 2024
Accelerating Phase Field Simulations Through a Hybrid Adaptive Fourier Neural Operator with U-Net Backbone Christophe Bonneville N. Bieberdorf Arun Hegde Mark Asta H. Najm Laurent Capolungo C. Safta AI4CE 31 2 0 24 Jun 2024
Data-driven Modeling in Metrology -- A Short Introduction, Current Developments and Future Perspectives Linda-Sophie Schneider Patrick Krauss N. Schiering Christopher Syben Richard Schielein Andreas Maier AI4CE 30 1 0 24 Jun 2024
DeltaPhi: Learning Physical Trajectory Residual for PDE Solving Xihang Yue Linchao Zhu Yi Yang AI4CE 34 1 0 14 Jun 2024
Linearization Turns Neural Operators into Function-Valued Gaussian Processes Emilia Magnani Marvin Pfortner Tobias Weber Philipp Hennig UQCV 55 1 0 07 Jun 2024
GFN: A graph feedforward network for resolution-invariant reduced operator learning in multifidelity applications Oisín M. Morrison F. Pichi J. Hesthaven AI4CE 26 1 0 05 Jun 2024
Solving Poisson Equations using Neural Walk-on-Spheres Hong Chul Nam Julius Berner Anima Anandkumar 20 3 0 05 Jun 2024
Predicting AI Agent Behavior through Approximation of the Perron-Frobenius Operator Shiqi Zhang D. Gadginmath Fabio Pasqualetti 42 0 0 04 Jun 2024
Reservoir History Matching of the Norne field with generative exotic priors and a coupled Mixture of Experts -- Physics Informed Neural Operator Forward Model C. Etienam Juntao Yang O. Ovcharenko Issam Said 16 1 0 02 Jun 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media Matthaios Chatzopoulos P. Koutsourelakis AI4CE 24 3 0 29 May 2024
Efficient Prior Calibration From Indirect Data O. Deniz Akyildiz M. Girolami Andrew M. Stuart A. Vadeboncoeur 33 1 0 28 May 2024
Unisolver: PDE-Conditional Transformers Are Universal PDE Solvers Zhou Hang Yuezhou Ma Haixu Wu Haowen Wang Mingsheng Long AI4CE 34 8 0 27 May 2024
BeamVQ: Aligning Space-Time Forecasting Model via Self-training on Physics-aware Metrics Hao Wu Xingjian Shi Ziyue Huang Penghao Zhao Wei Xiong Jinbao Xue Yangyu Tao Xiaomeng Huang Weiyan Wang AI4TS 39 1 0 27 May 2024
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows Shuhao Cao Francesco Brarda Ruipeng Li Yuanzhe Xi 31 0 0 27 May 2024
Newton Informed Neural Operator for Computing Multiple Solutions of Nonlinear Partials Differential Equations Wenrui Hao Xinliang Liu Yahong Yang 18 4 0 23 May 2024
Generalizing Weather Forecast to Fine-grained Temporal Scales via Physics-AI Hybrid Modeling Wanghan Xu Fenghua Ling Wenlong Zhang Tao Han Hao Chen Wanli Ouyang Lei Bai AI4CE 34 3 0 22 May 2024
A finite element-based physics-informed operator learning framework for spatiotemporal partial differential equations on arbitrary domains Yusuke Yamazaki Ali Harandi Mayu Muramatsu A. Viardin Markus Apel T. Brepols Stefanie Reese Shahed Rezaei AI4CE 26 12 0 21 May 2024
Alternators For Sequence Modeling Mohammad Reza Rezaei Adji Bousso Dieng 26 0 0 20 May 2024
Diffusion models as probabilistic neural operators for recovering unobserved states of dynamical systems Katsiaryna Haitsiukevich O. Poyraz Pekka Marttinen Alexander Ilin DiffM 51 2 0 11 May 2024
Introducing a microstructure-embedded autoencoder approach for reconstructing high-resolution solution field data from a reduced parametric space Rasoul Najafi Koopas Shahed Rezaei N. Rauter Richard Ostwald R. Lammering AI4CE 29 4 0 03 May 2024
Towards General Neural Surrogate Solvers with Specialized Neural Accelerators Chenkai Mao Robert Lupoiu Tianxiang Dai Mingkun Chen Jonathan A. Fan AI4CE 24 4 0 02 May 2024
KAN: Kolmogorov-Arnold Networks Ziming Liu Yixuan Wang Sachin Vaidya Fabian Ruehle James Halverson Marin Soljacic Thomas Y. Hou Max Tegmark 72 460 0 30 Apr 2024
Error analysis for finite element operator learning methods for solving parametric second-order elliptic PDEs Youngjoon Hong Seungchan Ko Jae Yong Lee 18 1 0 27 Apr 2024
BiLO: Bilevel Local Operator Learning for PDE inverse problems Ray Zirui Zhang Xiaohui Xie John S. Lowengrub 63 1 0 27 Apr 2024
Neural Interaction Energy for Multi-Agent Trajectory Prediction Kaixin Shen Ruijie Quan Linchao Zhu Jun Xiao Yi Yang 32 0 0 25 Apr 2024
Learning S-Matrix Phases with Neural Operators V. Niarchos C. Papageorgakis 17 3 0 22 Apr 2024
Streamlining Ocean Dynamics Modeling with Fourier Neural Operators: A Multiobjective Hyperparameter and Architecture Optimization Approach Yixuan Sun O. Sowunmi Romain Egele S. Narayanan Luke Van Roekel Prasanna Balaprakash 19 1 0 07 Apr 2024
Equivariant graph convolutional neural networks for the representation of homogenized anisotropic microstructural mechanical response Ravi G. Patel C. Safta Reese E. Jones AI4CE 27 1 0 05 Apr 2024
MODNO: Multi Operator Learning With Distributed Neural Operators Zecheng Zhang 35 6 0 03 Apr 2024
A finite operator learning technique for mapping the elastic properties of microstructures to their mechanical deformations Shahed Rezaei Reza Najian Asl S. Faroughi Mahdi Asgharzadeh Ali Harandi Rasoul Najafi Koopas G. Laschet Stefanie Reese Markus Apel AI4CE 29 4 0 28 Mar 2024
SineNet: Learning Temporal Dynamics in Time-Dependent Partial Differential Equations Xuan Zhang Jacob Helwig Yu-Ching Lin Yaochen Xie Cong Fu Stephan Wojtowytsch Shuiwang Ji AI4CE 29 6 0 28 Mar 2024
Knowledge-guided Machine Learning: Current Trends and Future Prospects Anuj Karpatne X. Jia Vipin Kumar 42 10 0 24 Mar 2024
Neural Parameter Regression for Explicit Representations of PDE Solution Operators Konrad Mundinger Max Zimmer S. Pokutta 37 0 0 19 Mar 2024
Large-scale flood modeling and forecasting with FloodCast Qingsong Xu Yilei Shi Jonathan Bamber Chaojun Ouyang Xiao Xiang Zhu AI4CE 39 12 0 18 Mar 2024
Using Uncertainty Quantification to Characterize and Improve Out-of-Domain Learning for PDEs S. C. Mouli Danielle C. Maddix S. Alizadeh Gaurav Gupta Andrew Stuart Michael W. Mahoney Yuyang Wang UQCV AI4CE 35 2 0 15 Mar 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training Zhongkai Hao Chang Su Songming Liu Julius Berner Chengyang Ying Hang Su A. Anandkumar Jian Song Jun Zhu AI4TS AI4CE 22 21 0 06 Mar 2024
BP-DeepONet: A new method for cuffless blood pressure estimation using the physcis-informed DeepONet Lingfeng Li Xue-Cheng Tai Raymond H. F. Chan 31 1 0 29 Feb 2024
Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equations Zijie Li Saurabh Patil Francis Ogoke Dule Shu Wilson Zhen Michael Schneier John R. Buchanan A. Farimani AI4CE 32 5 0 27 Feb 2024
Inpainting Computational Fluid Dynamics with Deep Learning Dule Shu Wilson Zhen Zijie Li A. Farimani AI4CE 23 0 0 27 Feb 2024
Neural Operators with Localized Integral and Differential Kernels Miguel Liu-Schiaffini Julius Berner Boris Bonev Thorsten Kurth Kamyar Azizzadenesheli A. Anandkumar 54 18 0 26 Feb 2024
Building Flexible Machine Learning Models for Scientific Computing at Scale Tianyu Chen Haoyi Zhou Ying Li Hao Wang Chonghan Gao Shanghang Zhang Jianxin Li AI4CE 25 0 0 25 Feb 2024
Data-Efficient Operator Learning via Unsupervised Pretraining and In-Context Learning Wuyang Chen Jialin Song Pu Ren Shashank Subramanian Dmitriy Morozov Michael W. Mahoney AI4CE 35 9 0 24 Feb 2024
Smooth and Sparse Latent Dynamics in Operator Learning with Jerk Regularization Xiaoyu Xie S. Mowlavi M. Benosman AI4CE 24 1 0 23 Feb 2024
Scaling physics-informed hard constraints with mixture-of-experts N. Chalapathi Yiheng Du Aditi Krishnapriyan AI4CE 32 11 0 20 Feb 2024