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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Sensitivity-Constrained Fourier Neural Operators for Forward and Inverse Problems in Parametric Differential Equations Abdolmehdi Behroozi Chaopeng Shen and Daniel Kifer AI4CE 13 0 0 13 May 2025
Bridging Model Predictive Control and Deep Learning for Scalable Reachability Analysis Zeyuan Feng Le Qiu Somil Bansal 23 0 0 04 May 2025
PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems Han Wan Rui Zhang Qi Wang Y. Liu Hao Sun PINN 35 0 0 03 May 2025
Fourier analysis of the physics of transfer learning for data-driven subgrid-scale models of ocean turbulence Moein Darman P. Hassanzadeh Laure Zanna A. Chattopadhyay 20 0 0 21 Apr 2025
Equilibrium Conserving Neural Operators for Super-Resolution Learning Vivek Oommen Andreas E. Robertson Daniel Diaz Coleman Alleman Zhen Zhang Anthony D. Rollett George Karniadakis Rémi Dingreville 33 1 0 18 Apr 2025
Enabling Automatic Differentiation with Mollified Graph Neural Operators Ryan Y. Lin Julius Berner Valentin Duruisseaux David Pitt Daniel Leibovici Jean Kossaifi Kamyar Azizzadenesheli Anima Anandkumar AI4CE 36 0 0 11 Apr 2025
Learning Dual-Arm Coordination for Grasping Large Flat Objects Yongliang Wang H. Kasaei 32 0 0 04 Apr 2025
A discrete physics-informed training for projection-based reduced order models with neural networks N. Sibuet S. A. D. Parga J. R. Bravo R. Rossi 27 0 0 31 Mar 2025
Paving the way for scientific foundation models: enhancing generalization and robustness in PDEs with constraint-aware pre-training A. Totounferoush Serge Kotchourko Michael W. Mahoney S. AI4CE 34 0 0 24 Mar 2025
HyperNOs: Automated and Parallel Library for Neural Operators Research Massimiliano Ghiotto 46 0 0 23 Mar 2025
Enhancing Fourier Neural Operators with Local Spatial Features Chaoyu Liu Davide Murari Chris Budd Lihao Liu Carola-Bibiane Schönlieb AI4CE 39 0 0 22 Mar 2025
Physics-Informed Deep B-Spline Networks for Dynamical Systems Zhuoyuan Wang Raffaele Romagnoli Jasmine Ratchford Yorie Nakahira PINN AI4CE 53 0 0 21 Mar 2025
Fourier Neural Operator based surrogates for $CO_2$ storage in realistic geologies Anirban Chandra Marius Koch Suraj Pawar Aniruddha Panda Kamyar Azizzadenesheli ... Farah Hariri Clement Etienam Pandu Devarakota Anima Anandkumar Detlef Hohl AI4CE 50 3 0 14 Mar 2025
Data-Driven Probabilistic Air-Sea Flux Parameterization Jiarong Wu Pavel Perezhogin D. Gagne Brandon Reichl Aneesh C. Subramanian Elizabeth Thompson Laure Zanna 39 0 0 06 Mar 2025
Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis Yasamin Jalalian Juan Felipe Osorio Ramirez Alexander W. Hsu Bamdad Hosseini H. Owhadi 39 0 0 02 Mar 2025
MAPS: Multi-Fidelity AI-Augmented Photonic Simulation and Inverse Design Infrastructure Pingchuan Ma Zhengqi Gao Meng Zhang Haoyu Yang Mark Ren Rena Huang Duane S. Boning Jiaqi Gu 41 0 0 02 Mar 2025
DeepONet Augmented by Randomized Neural Networks for Efficient Operator Learning in PDEs Zhaoxi Jiang Fei Wang 26 0 0 01 Mar 2025
BeamVQ: Beam Search with Vector Quantization to Mitigate Data Scarcity in Physical Spatiotemporal Forecasting Weiyan Wang Xingjian Shi Ruiqi Shu Yuan Gao Rui Chen ... Shuaipeng Li Yangyu Tao Di Wang Hao Wu Xiaomeng Huang 59 0 0 26 Feb 2025
PRDP: Progressively Refined Differentiable Physics Kanishk Bhatia Felix Koehler Nils Thuerey AI4CE 57 0 0 26 Feb 2025
Finite Element Operator Network for Solving Elliptic-type parametric PDEs Jae Yong Lee Seungchan Ko Youngjoon Hong 105 5 0 20 Feb 2025
DGNO: A Novel Physics-aware Neural Operator for Solving Forward and Inverse PDE Problems based on Deep, Generative Probabilistic Modeling Yaohua Zang P. Koutsourelakis AI4CE 52 0 0 10 Feb 2025
Transfer Learning in Physics-Informed Neural Networks: Full Fine-Tuning, Lightweight Fine-Tuning, and Low-Rank Adaptation Yizheng Wang Jinshuai Bai M. Eshaghi C. Anitescu X. Zhuang Timon Rabczuk Yinghua Liu AI4CE 44 1 0 02 Feb 2025
Data-Efficient Inference of Neural Fluid Fields via SciML Foundation Model Yuqiu Liu Jingxuan Xu Mauricio Soroco Yunchao Wei Wuyang Chen AI4CE 72 2 0 18 Dec 2024
Advancing Generalization in PINNs through Latent-Space Representations Honghui Wang Yifan Pu Shiji Song Gao Huang AI4CE PINN 61 0 0 28 Nov 2024
On the Boundary Feasibility for PDE Control with Neural Operators Hanjiang Hu Changliu Liu AI4CE 64 1 0 23 Nov 2024
Open-Source High-Speed Flight Surrogate Modeling Framework Tyler E. Korenyi-Both Nathan J. Falkiewicz Matthew C. Jones AI4CE 26 0 0 06 Nov 2024
Projected Neural Differential Equations for Learning Constrained Dynamics Alistair J R White Anna Buttner Maximilian Gelbrecht Valentin Duruisseaux Niki Kilbertus Frank Hellmann Niklas Boers 39 0 0 31 Oct 2024
Physics-informed Partitioned Coupled Neural Operator for Complex Networks Weidong Wu Yong Zhang Lili Hao Y. Chen Xiaoyan Sun Dunwei Gong AI4CE 18 0 0 28 Oct 2024
On conditional diffusion models for PDE simulations Aliaksandra Shysheya Cristiana-Diana Diaconu Federico Bergamin P. Perdikaris José Miguel Hernández-Lobato Richard E. Turner Emile Mathieu DiffM 23 4 0 21 Oct 2024
Long-time Integration of Nonlinear Wave Equations with Neural Operators Guanhang Lei Zhen Lei Lei Shi 23 0 0 21 Oct 2024
Simultaneously Solving FBSDEs with Neural Operators of Logarithmic Depth, Constant Width, and Sub-Linear Rank Takashi Furuya Anastasis Kratsios 30 1 0 18 Oct 2024
Learning a Neural Solver for Parametric PDE to Enhance Physics-Informed Methods Lise Le Boudec Emmanuel de Bezenac Louis Serrano Ramon Daniel Regueiro-Espino Yuan Yin Patrick Gallinari AI4CE 30 2 0 09 Oct 2024
Mitigating Time Discretization Challenges with WeatherODE: A Sandwich Physics-Driven Neural ODE for Weather Forecasting Peiyuan Liu Tian Zhou Liang Sun Rong Jin AI4CE 27 0 0 09 Oct 2024
Scalable Simulation-free Entropic Unbalanced Optimal Transport Jaemoo Choi Jaewoong Choi OT 23 0 0 03 Oct 2024
Disentangled Representation Learning for Parametric Partial Differential Equations Ning Liu Lu Zhang Tian Gao Yue Yu DRL AI4CE 42 0 0 03 Oct 2024
Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups Zakhar Shumaylov Peter Zaika James Rowbottom Ferdia Sherry Melanie Weber Carola-Bibiane Schönlieb 34 1 0 03 Oct 2024
Deep Learning Alternatives of the Kolmogorov Superposition Theorem Leonardo Ferreira Guilhoto P. Perdikaris 38 7 0 02 Oct 2024
Structure-Preserving Operator Learning Nacime Bouziani Nicolas Boullé 25 0 0 01 Oct 2024
Spatiotemporal Learning on Cell-embedded Graphs Yuan Mi Hao Sun 35 1 0 26 Sep 2024
Fourier neural operators for spatiotemporal dynamics in two-dimensional turbulence M. Atif Pulkit Dubey Pratik P. Aghor Vanessa Lopez-Marrero Tao Zhang ... Fan Yang Foluso Ladeinde Yangang Liu Meifeng Lin Lingda Li AI4CE 26 2 0 23 Sep 2024
Neumann Series-based Neural Operator for Solving Inverse Medium Problem Ziyang Liu Fukai Chen Junqing Chen L. Qiu Zuoqiang Shi AI4CE 27 2 0 14 Sep 2024
FB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition Milad Ramezankhani Rishi Parekh A. Deodhar Dagnachew Birru AI4CE 29 0 0 13 Sep 2024
Component Fourier Neural Operator for Singularly Perturbed Differential Equations Ye Li Ting Du Yiwen Pang Zhongyi Huang 16 1 0 07 Sep 2024
Generating Physical Dynamics under Priors Zihan Zhou Xiaoxue Wang Tianshu Yu DiffM AI4CE 50 0 0 01 Sep 2024
Fourier Spectral Physics Informed Neural Network: An Efficient and Low-Memory PINN Tianchi Yu Yiming Qi Ivan V. Oseledets Shiyi Chen 19 0 0 29 Aug 2024
Nonlocal Attention Operator: Materializing Hidden Knowledge Towards Interpretable Physics Discovery Yue Yu Ning Liu Fei Lu Tian Gao S. Jafarzadeh Stewart Silling AI4CE 41 7 0 14 Aug 2024
Beyond Closure Models: Learning Chaotic-Systems via Physics-Informed Neural Operators Chuwei Wang Julius Berner Zongyi Li Di Zhou Jiayun Wang Jane Bae Anima Anandkumar AI4CE 28 1 0 09 Aug 2024
Higher-order-ReLU-KANs (HRKANs) for solving physics-informed neural networks (PINNs) more accurately, robustly and faster Chi Chiu So Siu Pang Yung 30 6 0 09 Aug 2024
Physics-Informed Geometry-Aware Neural Operator Weiheng Zhong Hadi Meidani AI4CE 30 4 0 02 Aug 2024
Active Learning for Neural PDE Solvers Daniel Musekamp Marimuthu Kalimuthu David Holzmüller Makoto Takamoto Carlos Fernandez AI4CE 41 4 0 02 Aug 2024