DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

8 October 2019

Papers citing "DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators"

50 / 185 papers shown

Title
CodePDE: An Inference Framework for LLM-driven PDE Solver Generation Shanda Li Tanya Marwah Junhong Shen W. Sun Andrej Risteski Yiming Yang Ameet Talwalkar AI4CE 24 0 0 13 May 2025
Learning cardiac activation and repolarization times with operator learning Edoardo Centofanti Giovanni Ziarelli N. Parolini Simone Scacchi M. Verani L. Pavarino AI4CE 11 0 0 13 May 2025
Compression, Regularity, Randomness and Emergent Structure: Rethinking Physical Complexity in the Data-Driven Era Nima Dehghani AI4CE 14 0 0 12 May 2025
SPIN-ODE: Stiff Physics-Informed Neural ODE for Chemical Reaction Rate Estimation Wenqing Peng Zhi-Song Liu Michael Boy 24 0 0 08 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 64 0 0 06 May 2025
Enabling Local Neural Operators to perform Equation-Free System-Level Analysis Gianluca Fabiani H. Vandecasteele S. Goswami Constantinos Siettos Ioannis G. Kevrekidis 59 0 0 05 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 33 0 0 03 May 2025
A Physics-preserved Transfer Learning Method for Differential Equations Hao-Ran Yang Chuan-Xian Ren 69 0 0 02 May 2025
Interpretable Spatial-Temporal Fusion Transformers: Multi-Output Prediction for Parametric Dynamical Systems with Time-Varying Inputs Shuwen Sun Lihong Feng P. Benner 40 0 0 01 May 2025
FourierSpecNet: Neural Collision Operator Approximation Inspired by the Fourier Spectral Method for Solving the Boltzmann Equation Jae Yong Lee Gwang Jae Jung Byung Chan Lim Hyung Ju Hwang 52 0 0 29 Apr 2025
Geometry-Informed Neural Operator Transformer Qibang Liu Vincient Zhong Hadi Meidani Diab Abueidda S. Koric Philippe Geubelle AI4CE 44 0 0 28 Apr 2025
Model uncertainty quantification using feature confidence sets for outcome excursions Junting Ren Armin Schwartzman 46 0 0 28 Apr 2025
Optimizing Hard Thresholding for Sparse Model Discovery Derek W. Jollie Scott G. McCalla 41 0 0 28 Apr 2025
Neural operators struggle to learn complex PDEs in pedestrian mobility: Hughes model case study Prajwal Chauhan Salah Eddine Choutri Mohamed Ghattassi Nader Masmoudi Saif Eddin Jabari 37 0 0 25 Apr 2025
PODNO: Proper Orthogonal Decomposition Neural Operators Zilan Cheng Zhongjian Wang Li-Lian Wang Mejdi Azaiez 34 0 0 25 Apr 2025
Accelerating Multiscale Modeling with Hybrid Solvers: Coupling FEM and Neural Operators with Domain Decomposition Wei Wang Maryam Hakimzadeh Haihui Ruan Somdatta Goswami AI4CE 27 0 0 15 Apr 2025
Physics-Informed Neural Networks for Enhanced Interface Preservation in Lattice Boltzmann Multiphase Simulations Yue Li L. Zhang AI4CE 25 1 0 13 Apr 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
PIMRL: Physics-Informed Multi-Scale Recurrent Learning for Spatiotemporal Prediction Han Wan Qi Wang Hao Sun Hao Sun AI4CE 46 0 0 13 Mar 2025
Learning and discovering multiple solutions using physics-informed neural networks with random initialization and deep ensemble Zongren Zou Zhicheng Wang George Karniadakis PINN AI4CE 65 2 0 08 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
Gabor-Enhanced Physics-Informed Neural Networks for Fast Simulations of Acoustic Wavefields Mohammad Mahdi Abedi David Pardo Tariq Alkhalifah 49 1 0 24 Feb 2025
Verification and Validation for Trustworthy Scientific Machine Learning John D. Jakeman Lorena A. Barba J. Martins Thomas O'Leary-Roseberry AI4CE 56 0 0 21 Feb 2025
Sampling-based Distributed Training with Message Passing Neural Network P. Kakka Sheel Nidhan Rishikesh Ranade Jay Pathak J. MacArt GNN 75 3 0 20 Feb 2025
Scalable Back-Propagation-Free Training of Optical Physics-Informed Neural Networks Yequan Zhao Xinling Yu Xian Xiao Z. Chen Z. Liu G. Kurczveil R. Beausoleil S. Liu Z. Zhang 49 0 0 17 Feb 2025
COAST: Intelligent Time-Adaptive Neural Operators Z. Wu Shiyang Zhang Sizhuang He Sifan Wang M. Zhu Anran Jiao Lu Lu David van Dijk 90 1 0 12 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
A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Elisa Negrini Yuxuan Liu Liu Yang Stanley Osher Hayden Schaeffer AI4CE 86 0 0 09 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 64 10 0 28 Jan 2025
Graph Neural Preconditioners for Iterative Solutions of Sparse Linear Systems Jie Chen AI4CE 59 2 0 28 Jan 2025
MultiPDENet: PDE-embedded Learning with Multi-time-stepping for Accelerated Flow Simulation Qi Wang Yuan Mi H. Wang Yi Zhang Ruizhi Chengze Hongsheng Liu J. Wen Hao Sun AI4CE 35 0 0 28 Jan 2025
In-Context Operator Learning for Linear Propagator Models Tingwei Meng Moritz Voß Nils Detering Giulio Farolfi Stanley Osher Georg Menz 24 0 0 28 Jan 2025
NeurOp-Diff:Continuous Remote Sensing Image Super-Resolution via Neural Operator Diffusion Zihao Xu Yuzhi Tang Bowen Xu Qingquan Li DiffM 57 0 0 20 Jan 2025
A convergent scheme for the Bayesian filtering problem based on the Fokker--Planck equation and deep splitting Kasper Bågmark Adam Andersson S. Larsson Filip Rydin 79 0 0 20 Jan 2025
ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Hwijae Son 46 0 0 17 Jan 2025
Using Linearized Optimal Transport to Predict the Evolution of Stochastic Particle Systems Nicholas Karris Evangelos A. Nikitopoulos Ioannis G. Kevrekidis Seungjoon Lee Alexander Cloninger OT 30 0 0 10 Jan 2025
Variational autoencoders with latent high-dimensional steady geometric flows for dynamics Andrew Gracyk DRL 63 0 0 03 Jan 2025
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
Harnessing Scale and Physics: A Multi-Graph Neural Operator Framework for PDEs on Arbitrary Geometries Zhihao Li H. Song Di Xiao Zhilu Lai Wei Wang AI4CE 83 2 0 18 Nov 2024
NeuralDEM -- Real-time Simulation of Industrial Particulate Flows Benedikt Alkin Tobias Kronlachner Samuele Papa Stefan Pirker Thomas Lichtenegger Johannes Brandstetter PINN AI4CE 38 1 1 14 Nov 2024
Physics-informed neural networks viewpoint for solving the Dyson-Schwinger equations of quantum electrodynamics Rodrigo Carmo Terin PINN 59 1 0 04 Nov 2024
CGKN: A Deep Learning Framework for Modeling Complex Dynamical Systems and Efficient Data Assimilation Chuanqi Chen Nan Chen Yinling Zhang Jin-Long Wu AI4CE 30 2 0 26 Oct 2024
Generalizable Motion Planning via Operator Learning Sharath Matada Luke Bhan Yuanyuan Shi Nikolay Atanasov 18 0 0 23 Oct 2024
Radial Basis Operator Networks Jason Kurz Sean Oughton Shitao Liu 36 0 0 06 Oct 2024
Model Comparisons: XNet Outperforms KAN Xin Li Zhihong Xia Xiaotao Zheng 32 0 0 02 Oct 2024
Deep Learning Alternatives of the Kolmogorov Superposition Theorem Leonardo Ferreira Guilhoto P. Perdikaris 38 7 0 02 Oct 2024
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems Bocheng Zeng Qi Wang M. Yan Y. Liu Ruizhi Chengze Yi Zhang Hongsheng Liu Zidong Wang Hao Sun AI4CE 21 3 0 02 Oct 2024
Explain Like I'm Five: Using LLMs to Improve PDE Surrogate Models with Text Cooper Lorsung Amir Barati Farimani AI4CE 58 1 0 02 Oct 2024
Text2PDE: Latent Diffusion Models for Accessible Physics Simulation Anthony Y. Zhou Zijie Li Michael Schneier John R Buchanan Jr Amir Barati Farimani AI4CE DiffM 52 5 0 02 Oct 2024
Cauchy activation function and XNet Xin Li Zhihong Xia Hongkun Zhang 28 4 0 28 Sep 2024