Physics-Constrained Deep Learning for High-dimensional Surrogate Modeling and Uncertainty Quantification without Labeled Data

18 January 2019

Papers citing "Physics-Constrained Deep Learning for High-dimensional Surrogate Modeling and Uncertainty Quantification without Labeled Data"

50 / 297 papers shown

Title
Physics-informed neural networks (PINNs) for fluid mechanics: A review Shengze Cai Zhiping Mao Zhicheng Wang Minglang Yin George Karniadakis PINN AI4CE 17 1,128 0 20 May 2021
Surrogate Modeling of Fluid Dynamics with a Multigrid Inspired Neural Network Architecture Q. Le C. Ooi AI4CE 14 10 0 09 May 2021
PCE-PINNs: Physics-Informed Neural Networks for Uncertainty Propagation in Ocean Modeling Björn Lütjens Catherine H. Crawford Mark S. Veillette Dava Newman 12 10 0 05 May 2021
Improved Surrogate Modeling of Fluid Dynamics with Physics-Informed Neural Networks Jian Cheng Wong C. Ooi P. Chiu M. Dao PINN AI4CE 19 4 0 05 May 2021
Hard Encoding of Physics for Learning Spatiotemporal Dynamics Chengping Rao Hao Sun Yang Liu PINN AI4CE 27 11 0 02 May 2021
Distributed Multigrid Neural Solvers on Megavoxel Domains Aditya Balu Sergio Botelho Biswajit Khara Vinay Rao C. Hegde S. Sarkar Santi S. Adavani A. Krishnamurthy Baskar Ganapathysubramanian AI4CE 6 11 0 29 Apr 2021
Transfer Learning on Multi-Fidelity Data Dong H. Song D. Tartakovsky AI4CE 23 26 0 29 Apr 2021
Efficient training of physics-informed neural networks via importance sampling M. A. Nabian R. J. Gladstone Hadi Meidani DiffM PINN 71 222 0 26 Apr 2021
Applications of physics-informed scientific machine learning in subsurface science: A survey A. Sun H. Yoon C. Shih Zhi Zhong AI4CE 23 9 0 10 Apr 2021
Physics-Informed Neural Nets for Control of Dynamical Systems Eric A. Antonelo E. Camponogara L. O. Seman Eduardo Rehbein de Souza J. Jordanou Jomi F. Hubner PINN AI4CE 24 62 0 06 Apr 2021
CCSNet: a deep learning modeling suite for CO $_2$ storage Gege Wen C. Hay S. Benson 27 73 0 05 Apr 2021
Shape-constrained Symbolic Regression -- Improving Extrapolation with Prior Knowledge G. Kronberger F. O. França Bogdan Burlacu C. Haider M. Kommenda 13 45 0 29 Mar 2021
Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution Omer San Adil Rasheed T. Kvamsdal 48 50 0 26 Mar 2021
Interpretable Machine Learning: Fundamental Principles and 10 Grand Challenges Cynthia Rudin Chaofan Chen Zhi Chen Haiyang Huang Lesia Semenova Chudi Zhong FaML AI4CE LRM 59 653 0 20 Mar 2021
Adaptive deep density approximation for Fokker-Planck equations Keju Tang Xiaoliang Wan Qifeng Liao 23 37 0 20 Mar 2021
Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets Sizhuang He Hanwen Wang P. Perdikaris AI4CE 40 664 0 19 Mar 2021
A Bayesian Multiscale Deep Learning Framework for Flows in Random Media G. A. Padmanabha N. Zabaras BDL AI4CE 18 4 0 08 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 20 20 0 04 Mar 2021
Error Estimates for the Deep Ritz Method with Boundary Penalty Johannes Müller Marius Zeinhofer 29 16 0 01 Mar 2021
A Statistician Teaches Deep Learning G. Babu David L. Banks Hyunsoo Cho David Han Hailin Sang Shouyi Wang 15 2 0 29 Jan 2021
Physics-aware, probabilistic model order reduction with guaranteed stability Sebastian Kaltenbach P. Koutsourelakis DiffM AI4CE 8 15 0 14 Jan 2021
Bayesian neural networks for weak solution of PDEs with uncertainty quantification Xiaoxuan Zhang K. Garikipati AI4CE 46 11 0 13 Jan 2021
An overview on deep learning-based approximation methods for partial differential equations C. Beck Martin Hutzenthaler Arnulf Jentzen Benno Kuckuck 30 146 0 22 Dec 2020
Teaching the Incompressible Navier-Stokes Equations to Fast Neural Surrogate Models in 3D Nils Wandel Michael Weinmann Reinhard Klein AI4CE 26 50 0 22 Dec 2020
Physics guided machine learning using simplified theories Suraj Pawar Omer San Burak Aksoylu Adil Rasheed T. Kvamsdal PINN AI4CE 100 106 0 18 Dec 2020
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks Sizhuang He Hanwen Wang P. Perdikaris 131 438 0 18 Dec 2020
$NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework$ NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework O. Hennigh S. Narasimhan M. A. Nabian Akshay Subramaniam Kaustubh Tangsali M. Rietmann J. Ferrandis Wonmin Byeon Z. Fang S. Choudhry PINN AI4CE 93 126 0 14 Dec 2020
Derivative-Informed Projected Neural Networks for High-Dimensional Parametric Maps Governed by PDEs Thomas O'Leary-Roseberry Umberto Villa Peng Chen Omar Ghattas 38 68 0 30 Nov 2020
Physics-Informed Neural Network for Modelling the Thermochemical Curing Process of Composite-Tool Systems During Manufacture S. Niaki E. Haghighat Trevor Campbell Xinglong Li R. Vaziri AI4CE 13 203 0 27 Nov 2020
Theory-guided Auto-Encoder for Surrogate Construction and Inverse Modeling Nanzhe Wang Haibin Chang Dongxiao Zhang AI4CE 31 49 0 17 Nov 2020
Efficient nonlinear manifold reduced order model Youngkyu Kim Youngsoo Choi David Widemann T. Zohdi 8 43 0 13 Nov 2020
A Review of Uncertainty Quantification in Deep Learning: Techniques, Applications and Challenges Moloud Abdar Farhad Pourpanah Sadiq Hussain Dana Rezazadegan Li Liu ... Xiaochun Cao Abbas Khosravi U. Acharya V. Makarenkov S. Nahavandi BDL UQCV 51 1,877 0 12 Nov 2020
A Helmholtz equation solver using unsupervised learning: Application to transcranial ultrasound A. Stanziola Simon Arridge B. Cox B. Treeby 8 32 0 29 Oct 2020
Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties Anke Stoll P. Benner AI4CE 18 64 0 12 Oct 2020
Recurrent convolutional neural network for the surrogate modeling of subsurface flow simulation Hyung Jun Yang Timothy Yeo J. An AI4CE 6 1 0 08 Oct 2020
A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder Youngkyu Kim Youngsoo Choi David Widemann T. Zohdi AI4CE 9 188 0 25 Sep 2020
Weak Form Theory-guided Neural Network (TgNN-wf) for Deep Learning of Subsurface Single and Two-phase Flow R. Xu Dongxiao Zhang Miao Rong Nanzhe Wang AI4CE 18 48 0 08 Sep 2020
Mutual Information for Explainable Deep Learning of Multiscale Systems S. Taverniers E. Hall M. Katsoulakis D. Tartakovsky 11 15 0 07 Sep 2020
Bayesian learning of orthogonal embeddings for multi-fidelity Gaussian Processes Panagiotis Tsilifis Piyush Pandita Sayan Ghosh Valeria Andreoli T. Vandeputte Liping Wang 11 18 0 05 Aug 2020
Adaptive Physics-Informed Neural Networks for Markov-Chain Monte Carlo M. A. Nabian Hadi Meidani 6 6 0 03 Aug 2020
Solving inverse problems using conditional invertible neural networks G. A. Padmanabha N. Zabaras AI4CE 6 63 0 31 Jul 2020
When and why PINNs fail to train: A neural tangent kernel perspective Sizhuang He Xinling Yu P. Perdikaris 33 877 0 28 Jul 2020
Deep Generative Models that Solve PDEs: Distributed Computing for Training Large Data-Free Models Sergio Botelho Ameya Joshi Biswajit Khara S. Sarkar C. Hegde Santi S. Adavani Baskar Ganapathysubramanian AI4CE 16 6 0 24 Jul 2020
Bayesian Sparse learning with preconditioned stochastic gradient MCMC and its applications Yating Wang Wei Deng Guang Lin 8 13 0 29 Jun 2020
Variational Autoencoding of PDE Inverse Problems Daniel J. Tait Theodoros Damoulas AI4CE 9 12 0 28 Jun 2020
Deep Orthogonal Decompositions for Convective Nowcasting Daniel J. Tait AI4Cl 11 1 0 28 Jun 2020
GINNs: Graph-Informed Neural Networks for Multiscale Physics E. Hall S. Taverniers M. Katsoulakis D. Tartakovsky PINN AI4CE 12 30 0 26 Jun 2020
Learning Incompressible Fluid Dynamics from Scratch -- Towards Fast, Differentiable Fluid Models that Generalize Nils Wandel Michael Weinmann Reinhard Klein AI4CE 16 8 0 15 Jun 2020
A Tailored Convolutional Neural Network for Nonlinear Manifold Learning of Computational Physics Data using Unstructured Spatial Discretizations John Tencer Kevin Potter AI4CE 18 13 0 11 Jun 2020
Physics informed deep learning for computational elastodynamics without labeled data Chengping Rao Hao Sun Yang Liu PINN AI4CE 17 222 0 10 Jun 2020