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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PARCv2: Physics-aware Recurrent Convolutional Neural Networks for Spatiotemporal Dynamics Modeling Phong C. H. Nguyen Xinlun Cheng Shahab Azarfar P. Seshadri Y. Nguyen Munho Kim Sanghun Choi H. Udaykumar Stephen Seung-Yeob Baek AI4CE PINN 33 1 0 19 Feb 2024
Diffeomorphism Neural Operator for various domains and parameters of partial differential equations Zhiwei Zhao Changqing Liu Yingguang Li Zhibin Chen Xu Liu AI4CE MedIm 24 3 0 19 Feb 2024
A novel Fourier neural operator framework for classification of multi-sized images: Application to three dimensional digital porous media Ali Kashefi T. Mukerji AI4CE 35 3 0 18 Feb 2024
Deep adaptive sampling for surrogate modeling without labeled data Xili Wang Keju Tang Jiayu Zhai Xiaoliang Wan Chao Yang 27 2 0 17 Feb 2024
Kolmogorov n-Widths for Multitask Physics-Informed Machine Learning (PIML) Methods: Towards Robust Metrics Michael Penwarden H. Owhadi Robert M. Kirby AI4CE 22 1 0 16 Feb 2024
Neural Operators Meet Energy-based Theory: Operator Learning for Hamiltonian and Dissipative PDEs Yusuke Tanaka Takaharu Yaguchi Tomoharu Iwata N. Ueda AI4CE 24 0 0 14 Feb 2024
Error Estimation for Physics-informed Neural Networks Approximating Semilinear Wave Equations Beatrice Lorenz Aras Bacho Gitta Kutyniok PINN 11 2 0 11 Feb 2024
Reduced-order modeling of unsteady fluid flow using neural network ensembles Rakesh Halder Mohammadmehdi Ataei H. Salehipour Krzysztof J. Fidkowski Kevin J. Maki AI4CE 14 3 0 08 Feb 2024
HAMLET: Graph Transformer Neural Operator for Partial Differential Equations Andrey Bryutkin Jiahao Huang Zhongying Deng Guang Yang Carola-Bibiane Schönlieb Angelica E. Avilés-Rivero 32 6 0 05 Feb 2024
Learning solutions of parametric Navier-Stokes with physics-informed neural networks M. Naderibeni Marcel J. T. Reinders L. Wu David Tax PINN 18 2 0 05 Feb 2024
Resolution invariant deep operator network for PDEs with complex geometries Jianguo Huang Yue Qiu 19 0 0 01 Feb 2024
PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws Liu Yang Stanley J. Osher AI4CE 40 18 0 14 Jan 2024
Peridynamic Neural Operators: A Data-Driven Nonlocal Constitutive Model for Complex Material Responses S. Jafarzadeh Stewart Silling Ning Liu Zhongqiang Zhang Yue Yu AI4CE 19 15 0 11 Jan 2024
Gain Scheduling with a Neural Operator for a Transport PDE with Nonlinear Recirculation Maxence Lamarque Luke Bhan R. Vázquez Miroslav Krstic 11 9 0 04 Jan 2024
A Mathematical Guide to Operator Learning Nicolas Boullé Alex Townsend 29 36 0 22 Dec 2023
Learning Flexible Body Collision Dynamics with Hierarchical Contact Mesh Transformer Youn-Yeol Yu Jeongwhan Choi Woojin Cho Kookjin Lee Nayong Kim ... Ilho Kim Seok-Woo Lee Joon Young Yang S. Yoon Noseong Park AI4CE 10 7 0 19 Dec 2023
Harnessing the Power of Neural Operators with Automatically Encoded Conservation Laws Ning Liu Yiming Fan Xianyi Zeng Milan Klöwer Lu Zhang Yue Yu AI4CE 16 8 0 18 Dec 2023
Neural Spectral Methods: Self-supervised learning in the spectral domain Yiheng Du N. Chalapathi Aditi Krishnapriyan 14 6 0 08 Dec 2023
Data-efficient operator learning for solving high Mach number fluid flow problems Noah Ford Victor J. Leon Honest Mrema Jeffrey Gilbert Alexander New AI4CE 16 0 0 28 Nov 2023
Can Physics Informed Neural Operators Self Improve? Ritam Majumdar Amey Varhade Shirish S. Karande L. Vig AI4CE 15 0 0 23 Nov 2023
Operator Learning for Continuous Spatial-Temporal Model with Gradient-Based and Derivative-Free Optimization Methods Chuanqi Chen Jin-Long Wu AI4CE 21 0 0 20 Nov 2023
Uncertainty quantification for noisy inputs-outputs in physics-informed neural networks and neural operators Zongren Zou Xuhui Meng George Karniadakis AI4CE 25 19 0 19 Nov 2023
Surrogate Neural Networks to Estimate Parametric Sensitivity of Ocean Models Yixuan Sun Elizabeth Cucuzzella Steven Brus S. Narayanan B. Nadiga Luke Van Roekel Jan Huckelheim Sandeep Madireddy 14 3 0 10 Nov 2023
Lie Point Symmetry and Physics Informed Networks Tara Akhound-Sadegh Laurence Perreault Levasseur Johannes Brandstetter Max Welling Siamak Ravanbakhsh PINN 21 9 0 07 Nov 2023
An Operator Learning Framework for Spatiotemporal Super-resolution of Scientific Simulations Valentin Duruisseaux Amit Chakraborty AI4CE 11 1 0 04 Nov 2023
Decodable and Sample Invariant Continuous Object Encoder Dehao Yuan Furong Huang Cornelia Fermuller Yiannis Aloimonos 11 2 0 31 Oct 2023
Interpretable Neural PDE Solvers using Symbolic Frameworks Yolanne Yi Ran Lee AI4CE 24 0 0 31 Oct 2023
A foundational neural operator that continuously learns without forgetting Tapas Tripura Souvik Chakraborty CLL 43 7 0 29 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
Multiple Physics Pretraining for Physical Surrogate Models Michael McCabe Bruno Régaldo-Saint Blancard Liam Parker Ruben Ohana M. Cranmer ... Francois Lanusse Mariel Pettee Tiberiu Teşileanu Kyunghyun Cho Shirley Ho PINN AI4CE 23 51 0 04 Oct 2023
Spectral operator learning for parametric PDEs without data reliance Junho Choi Taehyun Yun Namjung Kim Youngjoon Hong 17 8 0 03 Oct 2023
Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs Jean Kossaifi Nikola B. Kovachki Kamyar Azizzadenesheli Anima Anandkumar AI4CE 42 32 0 29 Sep 2023
Exciton-Polariton Condensates: A Fourier Neural Operator Approach S. T. Sathujoda Yuan Wang Kanishk Gandhi 11 0 0 27 Sep 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 26 121 0 27 Sep 2023
Improving physics-informed DeepONets with hard constraints Rudiger Brecht D. Popovych Alexander Bihlo R. Popovych AI4CE 16 8 0 14 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
Padding-free Convolution based on Preservation of Differential Characteristics of Kernels Kuangdai Leng Jeyan Thiyagalingam 15 2 0 12 Sep 2023
Geometry-Informed Neural Operator for Large-Scale 3D PDEs Zong-Yi Li Nikola B. Kovachki Chris Choy Boyi Li Jean Kossaifi ... M. A. Nabian Maximilian Stadler Christian Hundt Kamyar Azizzadenesheli Anima Anandkumar AI4CE 23 127 0 01 Sep 2023
Fine-Tune Language Models as Multi-Modal Differential Equation Solvers Liu Yang Siting Liu Stanley J. Osher 19 0 0 09 Aug 2023
Fourier neural operator for real-time simulation of 3D dynamic urban microclimate W. Peng Shaoxiang Qin Senwen Yang Jianchun Wang Xue Liu L. Wang AI4CE 10 29 0 08 Aug 2023
Guaranteed Approximation Bounds for Mixed-Precision Neural Operators Renbo Tu Colin White Jean Kossaifi Boris Bonev Nikola B. Kovachki Gennady Pekhimenko Kamyar Azizzadenesheli Anima Anandkumar 23 11 0 27 Jul 2023
Tackling the Curse of Dimensionality with Physics-Informed Neural Networks Zheyuan Hu K. Shukla George Karniadakis Kenji Kawaguchi PINN AI4CE 55 84 0 23 Jul 2023
Solving multiphysics-based inverse problems with learned surrogates and constraints Ziyi Yin Rafael Orozco M. Louboutin Felix J. Herrmann AI4CE 66 9 0 18 Jul 2023
Comparison of Neural FEM and Neural Operator Methods for applications in Solid Mechanics Stefan Hildebrand Sandra Klinge AI4CE 10 2 0 04 Jul 2023
Hyena Neural Operator for Partial Differential Equations Saurabh Patil Zijie Li Amir Barati Farimani AI4CE 19 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 17 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 25 4 0 21 Jun 2023
Operator Learning with Neural Fields: Tackling PDEs on General Geometries Louis Serrano Lise Le Boudec Armand K. Koupai Thomas X. Wang Yuan Yin Jean-Noël Vittaut Patrick Gallinari AI4CE 21 32 0 12 Jun 2023