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
Knowledge-guided Machine Learning: Current Trends and Future Prospects Anuj Karpatne X. Jia Vipin Kumar 47 10 0 24 Mar 2024
Neural Parameter Regression for Explicit Representations of PDE Solution Operators Konrad Mundinger Max Zimmer S. Pokutta 42 0 0 19 Mar 2024
Adaptive Multilevel Neural Networks for Parametric PDEs with Error Estimation Janina Enrica Schutte Martin Eigel AI4CE 27 2 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
Approximation of RKHS Functionals by Neural Networks Tiancong Zhou Namjoon Suh Guang Cheng Xiaoming Huo 18 4 0 18 Mar 2024
A Framework for Strategic Discovery of Credible Neural Network Surrogate Models under Uncertainty Pratyush Kumar Singh Kathryn A. Farrell-Maupin D. Faghihi 32 6 0 13 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
Macroscopic auxiliary asymptotic preserving neural networks for the linear radiative transfer equations Hongyan Li Song Jiang Wenjun Sun Liwei Xu Guanyu Zhou 19 2 0 04 Mar 2024
Hybrid data-driven and physics-informed regularized learning of cyclic plasticity with Neural Networks Stefan Hildebrand Sandra Klinge 33 0 0 04 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 33 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
A novel data generation scheme for surrogate modelling with deep operator networks Shivam Choubey Birupaksha Pal Manish Agrawal AI4CE 19 0 0 24 Feb 2024
Smooth and Sparse Latent Dynamics in Operator Learning with Jerk Regularization Xiaoyu Xie S. Mowlavi M. Benosman AI4CE 27 1 0 23 Feb 2024
Learning solution operators of PDEs defined on varying domains via MIONet Shanshan Xiao Pengzhan Jin Yifa Tang 37 3 0 23 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 37 0 0 14 Feb 2024
Approximating Families of Sharp Solutions to Fisher's Equation with Physics-Informed Neural Networks Franz M. Rohrhofer S. Posch C. Gößnitzer Bernhard C. Geiger 24 1 0 13 Feb 2024
Learning time-dependent PDE via graph neural networks and deep operator network for robust accuracy on irregular grids S. Cho Jae Yong Lee Hyung Ju Hwang GNN AI4CE 16 3 0 13 Feb 2024
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples Jun Hu Pengzhan Jin 23 8 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 19 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 38 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 24 2 0 05 Feb 2024
Challenges in Training PINNs: A Loss Landscape Perspective Pratik Rathore Weimu Lei Zachary Frangella Lu Lu Madeleine Udell AI4CE PINN ODL 33 39 0 02 Feb 2024
Closure Discovery for Coarse-Grained Partial Differential Equations Using Grid-based Reinforcement Learning Jan-Philipp von Bassewitz Sebastian Kaltenbach P. Koumoutsakos AI4CE 30 1 0 01 Feb 2024
Operator learning without the adjoint Nicolas Boullé Diana Halikias Samuel E. Otto Alex Townsend 26 4 0 31 Jan 2024
Ricci flow-guided autoencoders in learning time-dependent dynamics Andrew Gracyk AI4CE 36 1 0 26 Jan 2024
Approximation of Solution Operators for High-dimensional PDEs Nathan Gaby Xiaojing Ye 14 0 0 18 Jan 2024
RiemannONets: Interpretable Neural Operators for Riemann Problems Ahmad Peyvan Vivek Oommen Ameya Dilip Jagtap George Karniadakis AI4CE 23 22 0 16 Jan 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 24 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 21 9 0 04 Jan 2024
Integration of physics-informed operator learning and finite element method for parametric learning of partial differential equations Shahed Rezaei Ahmad Moeineddin Michael Kaliske Markus Apel AI4CE 35 5 0 04 Jan 2024
Generating synthetic data for neural operators Erisa Hasani Rachel A. Ward AI4CE 45 7 0 04 Jan 2024
Pontryagin Neural Operator for Solving Parametric General-Sum Differential Games Lei Zhang Mukesh Ghimire Zhenni Xu Wenlong Zhang Yi Ren 21 3 0 03 Jan 2024
DiffHybrid-UQ: Uncertainty Quantification for Differentiable Hybrid Neural Modeling Deepak Akhare Tengfei Luo Jian-Xun Wang 21 6 0 30 Dec 2023
Operator learning for hyperbolic partial differential equations Christopher Wang Alex Townsend 34 2 0 29 Dec 2023
HyperDeepONet: learning operator with complex target function space using the limited resources via hypernetwork Jae Yong Lee S. Cho H. Hwang 23 22 0 26 Dec 2023
A Mathematical Guide to Operator Learning Nicolas Boullé Alex Townsend 29 36 0 22 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 22 8 0 18 Dec 2023
An approximate operator-based learning method for the numerical solutions of stochastic differential equations Jingyuan Li Wei Liu 28 0 0 13 Dec 2023
NVFi: Neural Velocity Fields for 3D Physics Learning from Dynamic Videos Jinxi Li Ziyang Song Bo Yang 3DH 37 11 0 11 Dec 2023
Rethinking materials simulations: Blending direct numerical simulations with neural operators Vivek Oommen K. Shukla Saaketh Desai Rémi Dingreville George Karniadakis AI4CE 51 16 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 19 0 0 28 Nov 2023
B-LSTM-MIONet: Bayesian LSTM-based Neural Operators for Learning the Response of Complex Dynamical Systems to Length-Variant Multiple Input Functions Zhihao Kong Amirhossein Mollaali Christian Moya Na Lu Guang Lin 8 2 0 28 Nov 2023
Operator Learning for Continuous Spatial-Temporal Model with Gradient-Based and Derivative-Free Optimization Methods Chuanqi Chen Jin-Long Wu AI4CE 26 5 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
Accurate and Fast Fischer-Tropsch Reaction Microkinetics using PINNs Harshil Patel Aniruddha Panda T. Nikolaienko Stanislav Jaso Alejandro Lopez Kaushic Kalyanaraman 28 2 0 17 Nov 2023
Stacked networks improve physics-informed training: applications to neural networks and deep operator networks Amanda A. Howard Sarah H. Murphy Shady E. Ahmed P. Stinis AI4CE 50 18 0 11 Nov 2023
Lie Point Symmetry and Physics Informed Networks Tara Akhound-Sadegh Laurence Perreault Levasseur Johannes Brandstetter Max Welling Siamak Ravanbakhsh PINN 29 9 0 07 Nov 2023