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
Sensitivity-Constrained Fourier Neural Operators for Forward and Inverse Problems in Parametric Differential Equations Abdolmehdi Behroozi Chaopeng Shen and Daniel Kifer AI4CE 20 0 0 13 May 2025
Compression, Regularity, Randomness and Emergent Structure: Rethinking Physical Complexity in the Data-Driven Era Nima Dehghani AI4CE 27 0 0 12 May 2025
Physics-informed Multiple-Input Operators for efficient dynamic response prediction of structures Bilal Ahmed Yuqing Qiu Diab W. Abueidda Waleed El-Sekelly Tarek Abdoun M. Mobasher AI4CE 26 0 0 11 May 2025
Physics-Informed DeepONets for drift-diffusion on metric graphs: simulation and parameter identification J. Blechschmidt Tom-Christian Riemer M. Winkler Martin Stoll Jan-F. Pietschmann 26 0 0 07 May 2025
Anant-Net: Breaking the Curse of Dimensionality with Scalable and Interpretable Neural Surrogate for High-Dimensional PDEs Sidharth S. Menon Ameya D. Jagtap PINN 110 0 0 06 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 40 0 0 03 May 2025
PODNO: Proper Orthogonal Decomposition Neural Operators Zilan Cheng Zhongjian Wang Li-Lian Wang Mejdi Azaiez 34 0 0 25 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
DeepOHeat-v1: Efficient Operator Learning for Fast and Trustworthy Thermal Simulation and Optimization in 3D-IC Design Xinling Yu Z. Liu Hai Li Yixing Li Xin Ai Zhiyu Zeng Ian Young Zheng Zhang AI4CE 36 0 0 04 Apr 2025
Implicit Neural Differential Model for Spatiotemporal Dynamics Deepak Akhare P. Du Tengfei Luo Jian-Xun Wang PINN AI4CE 46 0 0 03 Apr 2025
Integral regularization PINNs for evolution equations Xiaodong Feng Haojiong Shangguan Tao Tang Xiaoliang Wan PINN 57 0 0 31 Mar 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 29 0 0 31 Mar 2025
New universal operator approximation theorem for encoder-decoder architectures (Preprint) Janek Gödeke Pascal Fernsel 30 0 0 31 Mar 2025
Enhancing Physics-Informed Neural Networks with a Hybrid Parallel Kolmogorov-Arnold and MLP Architecture Zuyu Xu Bin Lv 39 0 0 30 Mar 2025
Generative Latent Neural PDE Solver using Flow Matching Zijie Li Anthony Y. Zhou Amir Barati Farimani DiffM AI4CE 67 0 0 28 Mar 2025
Uncertainty propagation in feed-forward neural network models Jeremy Diamzon Daniele Venturi 60 0 0 27 Mar 2025
EquiNO: A Physics-Informed Neural Operator for Multiscale Simulations Hamidreza Eivazi Jendrik-Alexander Tröger Stefan H. A. Wittek Stefan Hartmann Andreas Rausch AI4CE 41 0 0 27 Mar 2025
HyperNOs: Automated and Parallel Library for Neural Operators Research Massimiliano Ghiotto 46 0 0 23 Mar 2025
Scalable physics-informed deep generative model for solving forward and inverse stochastic differential equations Shaoqian Zhou Wen You Ling Guo Xuhui Meng DiffM MedIm 51 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
Enhanced Vascular Flow Simulations in Aortic Aneurysm via Physics-Informed Neural Networks and Deep Operator Networks Oscar L. Cruz-González Valérie Deplano Badih Ghattas MedIm AI4CE 42 0 0 19 Mar 2025
Spatio-temporal Fourier Transformer (StFT) for Long-term Dynamics Prediction Da Long Shandian Zhe Samuel Williams L. Oliker Zhe Bai AI4TS AI4CE 44 0 0 14 Mar 2025
Identifying Trustworthiness Challenges in Deep Learning Models for Continental-Scale Water Quality Prediction Xiaobo Xia Xiaofeng Liu Jiale Liu K. Fang Lu Lu Samet Oymak William S. Currie Tongliang Liu 62 0 0 13 Mar 2025
Symbolic Neural Ordinary Differential Equations Xin Li Chengli Zhao Xue Zhang Xiaojun Duan 32 0 0 11 Mar 2025
Parametric Value Approximation for General-sum Differential Games with State Constraints Lei Zhang Mukesh Ghimire Wenlong Zhang Z. Xu Yi Ren 36 0 0 10 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
DeepONet Augmented by Randomized Neural Networks for Efficient Operator Learning in PDEs Zhaoxi Jiang Fei Wang 28 0 0 01 Mar 2025
Cauchy Random Features for Operator Learning in Sobolev Space Chunyang Liao Deanna Needell Hayden Schaeffer 34 0 0 01 Mar 2025
Finite Element Operator Network for Solving Elliptic-type parametric PDEs Jae Yong Lee Seungchan Ko Youngjoon Hong 105 5 0 20 Feb 2025
Machine learning for modelling unstructured grid data in computational physics: a review Sibo Cheng Marc Bocquet Weiping Ding Tobias S. Finn Rui Fu ... Yong Zeng Mingrui Zhang Hao Zhou Kewei Zhu Rossella Arcucci PINN AI4CE 107 0 0 13 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 48 1 0 02 Feb 2025
State-space models are accurate and efficient neural operators for dynamical systems Zheyuan Hu Nazanin Ahmadi Daryakenari Qianli Shen Kenji Kawaguchi George Karniadakis Mamba AI4CE 67 11 0 28 Jan 2025
ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Hwijae Son 48 0 0 17 Jan 2025
Orthogonal greedy algorithm for linear operator learning with shallow neural network Ye Lin Jiwei Jia Young Ju Lee Ran Zhang 34 1 0 06 Jan 2025
Variational autoencoders with latent high-dimensional steady geometric flows for dynamics Andrew Gracyk DRL 63 0 0 03 Jan 2025
Point-DeepONet: A Deep Operator Network Integrating PointNet for Nonlinear Analysis of Non-Parametric 3D Geometries and Load Conditions Jangseop Park Namwoo Kang AI4CE 3DPC 52 1 0 24 Dec 2024
An explainable operator approximation framework under the guideline of Green's function Jianghang Gu Ling Wen Yuntian Chen Shiyi Chen 64 0 0 21 Dec 2024
How to Re-enable PDE Loss for Physical Systems Modeling Under Partial Observation Haodong Feng Yue Wang Dixia Fan AI4CE 75 0 0 12 Dec 2024
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Sumanth Kumar Boya Deepak Subramani AI4CE 94 0 0 12 Dec 2024
Deep Learning-Enhanced Preconditioning for Efficient Conjugate Gradient Solvers in Large-Scale PDE Systems Rui-Qi Li Song Wang Chen Wang AI4CE 76 0 0 10 Dec 2024
STONet: A novel neural operator for modeling solute transport in micro-cracked reservoirs E. Haghighat Mohammad Hesan Adeli S Mohammad Mousavi R. Juanes 66 0 0 07 Dec 2024
Physics-informed Deep Learning for Muscle Force Prediction with Unlabeled sEMG Signals Shuhao Ma Jie Zhang Chaoyang Shi Pei Di Ian D. Robertson Zhi-Qiang Zhang 84 8 0 05 Dec 2024
A deformation-based framework for learning solution mappings of PDEs defined on varying domains Shanshan Xiao Pengzhan Jin Yifa Tang 62 1 0 02 Dec 2024
Advancing Generalization in PINNs through Latent-Space Representations Honghui Wang Yifan Pu Shiji Song Gao Huang AI4CE PINN 64 0 0 28 Nov 2024
What do physics-informed DeepONets learn? Understanding and improving training for scientific computing applications Emily Williams Amanda A. Howard B. Meuris P. Stinis AI4CE 66 0 0 27 Nov 2024
Conformalized Prediction of Post-Fault Voltage Trajectories Using Pre-trained and Finetuned Attention-Driven Neural Operators Amirhossein Mollaali Gabriel Zufferey Gonzalo E. Constante-Flores Christian Moya Can Li Guang Lin Meng Yue 42 1 0 31 Oct 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
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 5 0 21 Oct 2024