Harnessing physics-informed operators for high-dimensional reliability analysis problems

7 September 2024

N Navaneeth

Tushar

Souvik Chakraborty

AI4CE

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Papers citing "Harnessing physics-informed operators for high-dimensional reliability analysis problems"

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Title
Generative flow induced neural architecture search: Towards discovering optimal architecture in wavelet neural operator Hartej Soin Tapas Tripura Souvik Chakraborty 50 3 0 11 May 2024
Generative adversarial wavelet neural operator: Application to fault detection and isolation of multivariate time series data Jyoti Rani Tapas Tripura H. Kodamana Souvik Chakraborty 62 5 0 08 Jan 2024
A foundational neural operator that continuously learns without forgetting Tapas Tripura Souvik Chakraborty CLL 85 9 0 29 Oct 2023
DPA-WNO: A gray box model for a class of stochastic mechanics problem Tushar Souvik Chakraborty DiffM 47 3 0 24 Sep 2023
LNO: Laplace Neural Operator for Solving Differential Equations Qianying Cao S. Goswami George Karniadakis 76 50 0 19 Mar 2023
Fourier-MIONet: Fourier-enhanced multiple-input neural operators for multiphase modeling of geological carbon sequestration Zhongyi Jiang Min Zhu Dongzhuo Li Qiuzi Li Yanhua O. Yuan Lu Lu AI4CE 69 55 0 08 Mar 2023
Physics informed WNO N. N. Tapas Tripura S. Chakraborty 72 32 0 12 Feb 2023
MAntRA: A framework for model agnostic reliability analysis Yogesh Chandrakant Mathpati K. More Tapas Tripura R. Nayek S. Chakraborty 52 13 0 13 Dec 2022
Deep Physics Corrector: A physics enhanced deep learning architecture for solving stochastic differential equations Tushar S. Chakraborty 67 6 0 20 Sep 2022
Accelerated Training of Physics-Informed Neural Networks (PINNs) using Meshless Discretizations Ramansh Sharma Varun Shankar 101 43 0 19 May 2022
CAN-PINN: A Fast Physics-Informed Neural Network Based on Coupled-Automatic-Numerical Differentiation Method P. Chiu Jian Cheng Wong C. Ooi M. Dao Yew-Soon Ong PINN 57 214 0 29 Oct 2021
Surrogate assisted active subspace and active subspace assisted surrogate -- A new paradigm for high dimensional structural reliability analysis N. N. S. Chakraborty 30 27 0 11 May 2021
SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs A. A. Ramabathiran P. Ramachandran PINN AI4CE 131 80 0 25 Feb 2021
Machine Learning for Reliability Engineering and Safety Applications: Review of Current Status and Future Opportunities Zhaoyi Xu J. Saleh 73 350 0 19 Aug 2020
Multipole Graph 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 228 395 0 16 Jun 2020
Simulation free reliability analysis: A physics-informed deep learning based approach S. Chakraborty AI4CE 46 16 0 04 May 2020
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition E. Kharazmi Zhongqiang Zhang George Karniadakis 176 538 0 11 Mar 2020
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 248 2,158 0 08 Oct 2019
An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications E. Samaniego C. Anitescu S. Goswami Vien Minh Nguyen-Thanh Hongwei Guo Khader M. Hamdia Timon Rabczuk X. Zhuang PINN AI4CE 224 1,388 0 27 Aug 2019
Structured Bayesian Gaussian process latent variable model: applications to data-driven dimensionality reduction and high-dimensional inversion Steven Atkinson N. Zabaras 51 36 0 11 Jul 2018
Structured Bayesian Gaussian process latent variable model Steven Atkinson N. Zabaras 28 5 0 22 May 2018
DGM: A deep learning algorithm for solving partial differential equations Justin A. Sirignano K. Spiliopoulos AI4CE 97 2,067 0 24 Aug 2017
A sequential surrogate method for reliability analysis based on radial basis function Xu Li Chun-lin Gong Liangxian Gu Wenkun Gao Zhao Jing Hua Su 30 81 0 26 Jun 2017
Subset Simulation Method for Rare Event Estimation: An Introduction Konstantin Zuev 48 41 0 13 May 2015