Adversarial Uncertainty Quantification in Physics-Informed Neural Networks

9 November 2018

Papers citing "Adversarial Uncertainty Quantification in Physics-Informed Neural Networks"

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Title
Physics-informed machine learning with differentiable programming for heterogeneous underground reservoir pressure management Aleksandra Pachalieva Daniel O’Malley D. Harp Hari S. Viswanathan AI4CE 20 20 0 21 Jun 2022
Quantifying Uncertainty In Traffic State Estimation Using Generative Adversarial Networks Zhaobin Mo Yongjie Fu Xuan Di 33 11 0 19 Jun 2022
TrafficFlowGAN: Physics-informed Flow based Generative Adversarial Network for Uncertainty Quantification Zhaobin Mo Yongjie Fu Daran Xu Xuan Di AI4CE 25 17 0 19 Jun 2022
Transfer Learning as a Method to Reproduce High-Fidelity NLTE Opacities in Simulations Michael D. Vander Wal R. McClarren K. Humbird AI4CE 27 4 0 28 May 2022
Bayesian Physics-Informed Extreme Learning Machine for Forward and Inverse PDE Problems with Noisy Data Xu Liu Wenjuan Yao Wei Peng Weien Zhou PINN AI4CE 49 25 0 14 May 2022
A hybrid data driven-physics constrained Gaussian process regression framework with deep kernel for uncertainty quantification Che-Chia Chang T. Zeng GP 17 5 0 13 May 2022
Bayesian Physics-Informed Neural Networks for real-world nonlinear dynamical systems K. Linka Amelie Schäfer Xuhui Meng Zongren Zou George Karniadakis E. Kuhl OOD PINN AI4CE 43 110 0 12 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 36 45 0 09 May 2022
Quantum Extremal Learning Savvas Varsamopoulos E. Philip H. Vlijmen Sairam Menon Ann Vos N. Dyubankova B. Torfs Anthony Rowe V. Elfving 25 5 0 05 May 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 36 37 0 03 Apr 2022
PI-VAE: Physics-Informed Variational Auto-Encoder for stochastic differential equations Weiheng Zhong Hadi Meidani DRL 30 37 0 21 Mar 2022
Scalable Uncertainty Quantification for Deep Operator Networks using Randomized Priors Yibo Yang Georgios Kissas P. Perdikaris BDL UQCV 37 40 0 06 Mar 2022
Physics-informed neural networks for inverse problems in supersonic flows Ameya Dilip Jagtap Zhiping Mao Nikolaus Adams George Karniadakis PINN 26 201 0 23 Feb 2022
A survey of unsupervised learning methods for high-dimensional uncertainty quantification in black-box-type problems Katiana Kontolati Dimitrios Loukrezis D. D. Giovanis Lohit Vandanapu Michael D. Shields 32 40 0 09 Feb 2022
Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next S. Cuomo Vincenzo Schiano Di Cola F. Giampaolo G. Rozza Maizar Raissi F. Piccialli PINN 31 1,190 0 14 Jan 2022
Solving time dependent Fokker-Planck equations via temporal normalizing flow Xiaodong Feng Li Zeng Tao Zhou AI4CE 36 25 0 28 Dec 2021
How to Avoid Trivial Solutions in Physics-Informed Neural Networks Raphael Leiteritz Dirk Pflüger AI4CE PINN 20 21 0 10 Dec 2021
Learning To Estimate Regions Of Attraction Of Autonomous Dynamical Systems Using Physics-Informed Neural Networks Cody Scharzenberger Joe Hays 40 3 0 18 Nov 2021
Learning Free-Surface Flow with Physics-Informed Neural Networks Raphael Leiteritz Marcel Hurler Dirk Pflüger PINN AI4CE 33 7 0 17 Nov 2021
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 36 207 0 29 Oct 2021
Uncertainty quantification in a mechanical submodel driven by a Wasserstein-GAN Hamza Boukraichi N. Akkari F. Casenave David Ryckelynck AI4CE 15 3 0 26 Oct 2021
Recipes for when Physics Fails: Recovering Robust Learning of Physics Informed Neural Networks Minh Nguyen Luke McLennan T. Andeen Avik Roy PINN 21 27 0 26 Oct 2021
Prediction of liquid fuel properties using machine learning models with Gaussian processes and probabilistic conditional generative learning Rodolfo S. M. Freitas Ágatha P. F. Lima Cheng Chen F. Rochinha D. Mira Xi Jiang 31 0 0 18 Oct 2021
PCNN: A physics-constrained neural network for multiphase flows Haoyang Zheng Ziyang Huang Guang Lin PINN 27 8 0 18 Sep 2021
Variational Physics Informed Neural Networks: the role of quadratures and test functions S. Berrone C. Canuto Moreno Pintore 36 41 0 05 Sep 2021
Stochastic Physics-Informed Neural Ordinary Differential Equations Jared O’Leary J. Paulson A. Mesbah 25 37 0 03 Sep 2021
Wasserstein Generative Adversarial Uncertainty Quantification in Physics-Informed Neural Networks Yihang Gao Michael K. Ng 38 29 0 30 Aug 2021
Physics-Informed Deep Learning: A Promising Technique for System Reliability Assessment Taotao Zhou E. Droguett A. Mosleh AI4CE 11 25 0 24 Aug 2021
A Physics Informed Neural Network Approach to Solution and Identification of Biharmonic Equations of Elasticity M. Vahab E. Haghighat M. Khaleghi N. Khalili PINN 39 44 0 16 Aug 2021
Solution of Physics-based Bayesian Inverse Problems with Deep Generative Priors Dhruv V. Patel Deep Ray Assad A. Oberai AI4CE 19 37 0 06 Jul 2021
Interval and fuzzy physics-informed neural networks for uncertain fields J. Fuhg Ioannis Kalogeris A. Fau N. Bouklas AI4CE 46 18 0 18 Jun 2021
Encoding physics to learn reaction-diffusion processes Chengping Rao Pu Ren Qi Wang O. Buyukozturk Haoqin Sun Yang Liu PINN AI4CE DiffM 33 78 0 09 Jun 2021
PID-GAN: A GAN Framework based on a Physics-informed Discriminator for Uncertainty Quantification with Physics Arka Daw M. Maruf Anuj Karpatne AI4CE 10 42 0 06 Jun 2021
TNet: A Model-Constrained Tikhonov Network Approach for Inverse Problems Hai V. Nguyen T. Bui-Thanh PINN AI4CE 24 9 0 25 May 2021
Physics-informed neural networks (PINNs) for fluid mechanics: A review Shengze Cai Zhiping Mao Zhicheng Wang Minglang Yin George Karniadakis PINN AI4CE 25 1,133 0 20 May 2021
Deep learning in physics: a study of dielectric quasi-cubic particles in a uniform electric field Zhe Wang C. Guet 19 5 0 11 May 2021
Neural network architectures using min-plus algebra for solving certain high dimensional optimal control problems and Hamilton-Jacobi PDEs Jérome Darbon P. Dower Tingwei Meng 11 22 0 07 May 2021
Improved Surrogate Modeling of Fluid Dynamics with Physics-Informed Neural Networks Jian Cheng Wong C. Ooi P. Chiu M. Dao PINN AI4CE 32 4 0 05 May 2021
Adversarial Multi-task Learning Enhanced Physics-informed Neural Networks for Solving Partial Differential Equations Pongpisit Thanasutives M. Numao Ken-ichi Fukui AI4CE 30 24 0 29 Apr 2021
Efficient training of physics-informed neural networks via importance sampling M. A. Nabian R. J. Gladstone Hadi Meidani DiffM PINN 71 223 0 26 Apr 2021
Generative Adversarial Network: Some Analytical Perspectives Haoyang Cao Xin Guo GAN 38 2 0 25 Apr 2021
Explainable artificial intelligence for mechanics: physics-informing neural networks for constitutive models A. Koeppe F. Bamer M. Selzer B. Nestler Bernd Markert PINN AI4CE 19 9 0 20 Apr 2021
The mixed deep energy method for resolving concentration features in finite strain hyperelasticity J. Fuhg N. Bouklas PINN AI4CE 33 90 0 15 Apr 2021
A Physics-Informed Neural Network Framework For Partial Differential Equations on 3D Surfaces: Time-Dependent Problems Z. Fang J. Zhan Xiu Yang AI4CE 16 4 0 19 Mar 2021
dNNsolve: an efficient NN-based PDE solver V. Guidetti F. Muia Y. Welling A. Westphal 27 6 0 15 Mar 2021
Gaussian processes meet NeuralODEs: A Bayesian framework for learning the dynamics of partially observed systems from scarce and noisy data Mohamed Aziz Bhouri P. Perdikaris 28 20 0 04 Mar 2021
Measure-conditional Discriminator with Stationary Optimum for GANs and Statistical Distance Surrogates Liu Yang Tingwei Meng George Karniadakis 25 1 0 17 Jan 2021
Physics-Informed Deep Learning for Traffic State Estimation Rongye Shi Zhaobin Mo Kuang Huang Xuan Di Qi Du AI4TS 11 0 0 17 Jan 2021
Bayesian neural networks for weak solution of PDEs with uncertainty quantification Xiaoxuan Zhang K. Garikipati AI4CE 46 11 0 13 Jan 2021
Can Transfer Neuroevolution Tractably Solve Your Differential Equations? Jian Cheng Wong Abhishek Gupta Yew-Soon Ong 28 21 0 06 Jan 2021