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 / 207 papers shown

Title
Model-agnostic stochastic model predictive control Tapas Tripura S. Chakraborty 8 5 0 23 Nov 2022
SVD-PINNs: Transfer Learning of Physics-Informed Neural Networks via Singular Value Decomposition Yihang Gao Ka Chun Cheung Michael K. Ng 17 15 0 16 Nov 2022
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing Salah A. Faroughi N. Pawar C. Fernandes Maziar Raissi Subasish Das N. Kalantari S. K. Mahjour PINN AI4CE 16 47 0 14 Nov 2022
Towards a machine learning pipeline in reduced order modelling for inverse problems: neural networks for boundary parametrization, dimensionality reduction and solution manifold approximation A. Ivagnes N. Demo G. Rozza MedIm AI4CE 12 8 0 26 Oct 2022
Designing Universal Causal Deep Learning Models: The Case of Infinite-Dimensional Dynamical Systems from Stochastic Analysis Luca Galimberti Anastasis Kratsios Giulia Livieri OOD 13 14 0 24 Oct 2022
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities S. Lanthaler Roberto Molinaro Patrik Hadorn Siddhartha Mishra 37 24 0 03 Oct 2022
Accelerating hypersonic reentry simulations using deep learning-based hybridization (with guarantees) Paul Novello Gaël Poëtte D. Lugato S. Peluchon P. Congedo AI4CE 6 7 0 27 Sep 2022
Deep importance sampling using tensor trains with application to a priori and a posteriori rare event estimation Tiangang Cui S. Dolgov Robert Scheichl 32 3 0 05 Sep 2022
Information FOMO: The unhealthy fear of missing out on information. A method for removing misleading data for healthier models Ethan Pickering T. Sapsis 16 6 0 27 Aug 2022
NeuralUQ: A comprehensive library for uncertainty quantification in neural differential equations and operators Zongren Zou Xuhui Meng Apostolos F. Psaros George Karniadakis AI4CE 25 35 0 25 Aug 2022
G2Φnet: Relating Genotype and Biomechanical Phenotype of Tissues with Deep Learning Enrui Zhang B. Spronck J. Humphrey George Karniadakis AI4CE 13 9 0 21 Aug 2022
Dispersed Pixel Perturbation-based Imperceptible Backdoor Trigger for Image Classifier Models Yulong Wang Minghui Zhao Shenghong Li Xinnan Yuan W. Ni 14 15 0 19 Aug 2022
Approximate Bayesian Neural Operators: Uncertainty Quantification for Parametric PDEs Emilia Magnani Nicholas Kramer Runa Eschenhagen Lorenzo Rosasco Philipp Hennig UQCV BDL 8 9 0 02 Aug 2022
Unsupervised Legendre-Galerkin Neural Network for Singularly Perturbed Partial Differential Equations Junho Choi N. Kim Youngjoon Hong AI4CE 16 0 0 21 Jul 2022
Learning differentiable solvers for systems with hard constraints Geoffrey Negiar Michael W. Mahoney Aditi S. Krishnapriyan 16 28 0 18 Jul 2022
Neural Integro-Differential Equations E. Zappala Antonio H. O. Fonseca A. Moberly M. Higley C. Abdallah Jessica A. Cardin David van Dijk 14 14 0 28 Jun 2022
Derivative-Informed Neural Operator: An Efficient Framework for High-Dimensional Parametric Derivative Learning Thomas O'Leary-Roseberry Peng Chen Umberto Villa Omar Ghattas AI4CE 17 39 0 21 Jun 2022
NOMAD: Nonlinear Manifold Decoders for Operator Learning Jacob H. Seidman Georgios Kissas P. Perdikaris George J. Pappas AI4CE 15 68 0 07 Jun 2022
Physical Activation Functions (PAFs): An Approach for More Efficient Induction of Physics into Physics-Informed Neural Networks (PINNs) J. Abbasi Paal Ostebo Andersen PINN AI4CE 17 13 0 29 May 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 35 140 0 26 May 2022
Towards Size-Independent Generalization Bounds for Deep Operator Nets Pulkit Gopalani Sayar Karmakar Dibyakanti Kumar Anirbit Mukherjee AI4CE 21 5 0 23 May 2022
Loss Landscape Engineering via Data Regulation on PINNs Vignesh Gopakumar Stanislas Pamela D. Samaddar PINN 30 16 0 16 May 2022
Regression-based projection for learning Mori-Zwanzig operators Y. Lin Yifeng Tian D. Perez Daniel Livescu 15 10 0 10 May 2022
Multi-resolution partial differential equations preserved learning framework for spatiotemporal dynamics Xin-Yang Liu Min Zhu Lu Lu Hao Sun Jian-Xun Wang PINN AI4CE 19 45 0 09 May 2022
An Intriguing Property of Geophysics Inversion Yinan Feng Yinpeng Chen Shihang Feng Peng Jin Zicheng Liu Youzuo Lin 29 12 0 28 Apr 2022
BI-GreenNet: Learning Green's functions by boundary integral network Guochang Lin Fu-jun Chen Pipi Hu Xiang Chen Junqing Chen Jun Wang Zuoqiang Shi 26 20 0 28 Apr 2022
Learning Green's functions associated with time-dependent partial differential equations N. Boullé Seick Kim Tianyi Shi Alex Townsend AI4CE 8 25 0 27 Apr 2022
Discovering and forecasting extreme events via active learning in neural operators Ethan Pickering Stephen Guth George Karniadakis T. Sapsis AI4CE 11 55 0 05 Apr 2022
PARC: Physics-Aware Recurrent Convolutional Neural Networks to Assimilate Meso-scale Reactive Mechanics of Energetic Materials Phong C. H. Nguyen Y. Nguyen Joseph B. Choi P. Seshadri H. Udaykumar Stephen Seung-Yeob Baek AI4CE 8 16 0 04 Apr 2022
Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using DeepONets Subhayan De Matthew J. Reynolds M. Hassanaly Ryan N. King Alireza Doostan AI4CE 8 37 0 03 Apr 2022
Calibrating constitutive models with full-field data via physics informed neural networks Craig M. Hamel K. Long S. Kramer AI4CE 22 28 0 30 Mar 2022
Robust Modeling of Unknown Dynamical Systems via Ensemble Averaged Learning V. Churchill Steve Manns Zhen Chen D. Xiu AI4CE 13 8 0 07 Mar 2022
Scalable Uncertainty Quantification for Deep Operator Networks using Randomized Priors Yibo Yang Georgios Kissas P. Perdikaris BDL UQCV 20 40 0 06 Mar 2022
MIONet: Learning multiple-input operators via tensor product Pengzhan Jin Shuai Meng Lu Lu 15 155 0 12 Feb 2022
Accelerating Part-Scale Simulation in Liquid Metal Jet Additive Manufacturing via Operator Learning S. Taverniers S. Korneev Kyle Pietrzyk M. Behandish AI4CE 11 1 0 02 Feb 2022
Discovering Nonlinear PDEs from Scarce Data with Physics-encoded Learning Chengping Rao Pu Ren Yang Liu Hao-Lun Sun AI4CE 28 26 0 28 Jan 2022
Overview frequency principle/spectral bias in deep learning Z. Xu Yaoyu Zhang Tao Luo FaML 25 64 0 19 Jan 2022
Deep Nonparametric Estimation of Operators between Infinite Dimensional Spaces Hao Liu Haizhao Yang Minshuo Chen T. Zhao Wenjing Liao 22 36 0 01 Jan 2022
Learning High-Dimensional Parametric Maps via Reduced Basis Adaptive Residual Networks Thomas O'Leary-Roseberry Xiaosong Du A. Chaudhuri J. Martins Karen E. Willcox Omar Ghattas 25 22 0 14 Dec 2021
An extended physics informed neural network for preliminary analysis of parametric optimal control problems N. Demo M. Strazzullo G. Rozza PINN 16 33 0 26 Oct 2021
A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures Alexander Henkes I. Caylak R. Mahnken 13 18 0 26 Oct 2021
Fast PDE-constrained optimization via self-supervised operator learning Sifan Wang Mohamed Aziz Bhouri P. Perdikaris 37 28 0 25 Oct 2021
Physics informed neural networks for continuum micromechanics Alexander Henkes Henning Wessels R. Mahnken PINN AI4CE 8 139 0 14 Oct 2021
Improved architectures and training algorithms for deep operator networks Sifan Wang Hanwen Wang P. Perdikaris AI4CE 42 103 0 04 Oct 2021
PCNN: A physics-constrained neural network for multiphase flows Haoyang Zheng Ziyang Huang Guang Lin PINN 13 8 0 18 Sep 2021
DAE-PINN: A Physics-Informed Neural Network Model for Simulating Differential-Algebraic Equations with Application to Power Networks Christian Moya Guang Lin AI4CE PINN 51 37 0 09 Sep 2021
Towards extraction of orthogonal and parsimonious non-linear modes from turbulent flows Hamidreza Eivazi S. L. C. Martínez S. Hoyas Ricardo Vinuesa 20 92 0 03 Sep 2021
Simulating progressive intramural damage leading to aortic dissection using an operator-regression neural network Minglang Yin Ehsan Ban B. Rego Enrui Zhang C. Cavinato J. Humphrey George Karniadakis AI4CE 14 52 0 25 Aug 2021
Learning the structure of wind: A data-driven nonlocal turbulence model for the atmospheric boundary layer B. Keith U. Khristenko B. Wohlmuth 17 7 0 23 Jul 2021
Long-time integration of parametric evolution equations with physics-informed DeepONets Sifan Wang P. Perdikaris AI4CE 17 117 0 09 Jun 2021