Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using DeepONets

3 April 2022

Papers citing "Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using DeepONets"

25 / 25 papers shown

Title
Stochastic Subspace Descent Accelerated via Bi-fidelity Line Search Nuojin Cheng Alireza Doostan Stephen Becker 39 0 0 30 Apr 2025
Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem Solving Varun V. Kumar S. Goswami Katiana Kontolati Michael D. Shields George Em Karniadakis AI4CE 71 6 0 05 Aug 2024
Alpha-VI DeepONet: A prior-robust variational Bayesian approach for enhancing DeepONets with uncertainty quantification Soban Nasir Lone Subhayan De R. Nayek BDL 40 1 0 01 Aug 2024
Multifidelity linear regression for scientific machine learning from scarce data Elizabeth Qian Dayoung Kang Vignesh Sella Anirban Chaudhuri AI4CE 81 1 0 13 Mar 2024
Multifidelity domain decomposition-based physics-informed neural networks and operators for time-dependent problems Alexander Heinlein Amanda A. Howard Damien Beecroft P. Stinis AI4CE 34 3 0 15 Jan 2024
PINN surrogate of Li-ion battery models for parameter inference. Part II: Regularization and application of the pseudo-2D model M. Hassanaly Peter J. Weddle Ryan N. King Subhayan De Alireza Doostan Corey R. Randall Eric J. Dufek Andrew M. Colclasure Kandler Smith 25 6 0 28 Dec 2023
PINN surrogate of Li-ion battery models for parameter inference. Part I: Implementation and multi-fidelity hierarchies for the single-particle model M. Hassanaly Peter J. Weddle Ryan N. King Subhayan De Alireza Doostan Corey R. Randall Eric J. Dufek Andrew M. Colclasure Kandler Smith 26 7 0 28 Dec 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 58 17 0 11 Nov 2023
A Physics-Guided Bi-Fidelity Fourier-Featured Operator Learning Framework for Predicting Time Evolution of Drag and Lift Coefficients Amirhossein Mollaali Izzet Sahin Iqrar Raza Christian Moya Guillermo Paniagua Guang Lin 21 2 0 07 Nov 2023
DON-LSTM: Multi-Resolution Learning with DeepONets and Long Short-Term Memory Neural Networks Katarzyna Michalowska S. Goswami George Karniadakis S. Riemer-Sørensen AI4TS 42 1 0 03 Oct 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems Subhayan De P. Brewick 31 0 0 25 Apr 2023
Learning in latent spaces improves the predictive accuracy of deep neural operators Katiana Kontolati S. Goswami George Karniadakis Michael D. Shields AI4CE 42 20 0 15 Apr 2023
Feature-adjacent multi-fidelity physics-informed machine learning for partial differential equations Wenqian Chen P. Stinis OOD AI4CE 38 7 0 21 Mar 2023
A Multifidelity deep operator network approach to closure for multiscale systems Shady E. Ahmed P. Stinis AI4CE 33 13 0 15 Mar 2023
Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils K. Shukla Vivek Oommen Ahmad Peyvan Michael Penwarden L. Bravo A. Ghoshal Robert M. Kirby George Karniadakis 33 19 0 02 Feb 2023
Reliable extrapolation of deep neural operators informed by physics or sparse observations Min Zhu Handi Zhang Anran Jiao George Karniadakis Lu Lu 50 91 0 13 Dec 2022
Multi-fidelity wavelet neural operator with application to uncertainty quantification A. Thakur Tapas Tripura S. Chakraborty 38 12 0 11 Aug 2022
Physics-Informed Deep Neural Operator Networks S. Goswami Aniruddha Bora Yue Yu George Karniadakis PINN AI4CE 31 99 0 08 Jul 2022
SVD Perspectives for Augmenting DeepONet Flexibility and Interpretability Simone Venturi T. Casey 23 37 0 27 Apr 2022
Multifidelity Deep Operator Networks For Data-Driven and Physics-Informed Problems Amanda A. Howard M. Perego G. Karniadakis P. Stinis AI4CE 44 53 0 19 Apr 2022
Multifidelity deep neural operators for efficient learning of partial differential equations with application to fast inverse design of nanoscale heat transport Lu Lu R. Pestourie Steven G. Johnson Giuseppe Romano AI4CE 24 102 0 14 Apr 2022
Learning two-phase microstructure evolution using neural operators and autoencoder architectures Vivek Oommen K. Shukla S. Goswami Rémi Dingreville George Karniadakis AI4CE 46 119 0 11 Apr 2022
Uniform-in-Phase-Space Data Selection with Iterative Normalizing Flows M. Hassanaly Bruce A. Perry M. Mueller S. Yellapantula 40 5 0 28 Dec 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 265 2,309 0 18 Oct 2020
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data Liu Yang Xuhui Meng George Karniadakis PINN 186 761 0 13 Mar 2020