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Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations

2 August 2017

Papers citing "Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations"

50 / 318 papers shown

Title
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 66 51 0 08 Sep 2020
System Identification Through Lipschitz Regularized Deep Neural Networks Elisa Negrini G. Citti L. Capogna 40 12 0 07 Sep 2020
Data-Driven Aerospace Engineering: Reframing the Industry with Machine Learning Steven L. Brunton J. Nathan Kutz Krithika Manohar Aleksandr Aravkin K. Morgansen ... J. Buttrick Jeffrey Poskin Agnes Blom-Schieber Thomas Hogan Darren McDonald AI4CE 66 131 0 24 Aug 2020
Iterative Surrogate Model Optimization (ISMO): An active learning algorithm for PDE constrained optimization with deep neural networks K. Lye Siddhartha Mishra Deep Ray P. Chandrasekhar 85 77 0 13 Aug 2020
Machine Learning for Robust Identification of Complex Nonlinear Dynamical Systems: Applications to Earth Systems Modeling Nishant Yadav S. Ravela A. Ganguly OOD AI4Cl AI4CE 62 3 0 12 Aug 2020
Uncertainty Quantification of Locally Nonlinear Dynamical Systems using Neural Networks Subhayan De 45 9 0 11 Aug 2020
Physics-informed Tensor-train ConvLSTM for Volumetric Velocity Forecasting of Loop Current Yu Huang Yufei Tang H. Zhuang James H. VanZwieten Laurent Chérubin AI4TS 45 12 0 04 Aug 2020
Deep Generative Models that Solve PDEs: Distributed Computing for Training Large Data-Free Models Sergio Botelho Ameya Joshi Biswajit Khara Soumik Sarkar Chinmay Hegde Santi S. Adavani Baskar Ganapathysubramanian AI4CE 44 6 0 24 Jul 2020
A Survey on Autonomous Vehicle Control in the Era of Mixed-Autonomy: From Physics-Based to AI-Guided Driving Policy Learning Xuan Di Rongye Shi 130 177 0 10 Jul 2020
DynNet: Physics-based neural architecture design for linear and nonlinear structural response modeling and prediction S. S. Eshkevari Martin Takávc S. Pakzad Majid Jahani AI4CE 17 14 0 03 Jul 2020
Solver-in-the-Loop: Learning from Differentiable Physics to Interact with Iterative PDE-Solvers Kiwon Um R. Brand Yun Fei Fei Philipp Holl N. Thürey AI4CE 76 273 0 30 Jun 2020
Estimates on the generalization error of Physics Informed Neural Networks (PINNs) for approximating a class of inverse problems for PDEs Siddhartha Mishra Roberto Molinaro PINN 97 267 0 29 Jun 2020
Estimates on the generalization error of Physics Informed Neural Networks (PINNs) for approximating PDEs Siddhartha Mishra Roberto Molinaro PINN 79 173 0 29 Jun 2020
A Survey of Constrained Gaussian Process Regression: Approaches and Implementation Challenges L. Swiler Mamikon A. Gulian A. Frankel Cosmin Safta J. Jakeman GP AI4CE 104 106 0 16 Jun 2020
Sparse Symplectically Integrated Neural Networks Daniel M. DiPietro S. Xiong Bo Zhu 85 31 0 10 Jun 2020
Neural Vortex Method: from Finite Lagrangian Particles to Infinite Dimensional Eulerian Dynamics S. Xiong Xingzhe He Yunjin Tong Yitong Deng Bo Zhu 118 11 0 07 Jun 2020
Accurately Solving Physical Systems with Graph Learning Han Shao Tassilo Kugelstadt Torsten Hädrich Wojciech Palubicki Jan Bender Soren Pirk D. L. Michels AI4CE 69 6 0 06 Jun 2020
RODE-Net: Learning Ordinary Differential Equations with Randomness from Data Junyu Liu Zichao Long Ranran Wang Jie Sun Bin Dong 40 9 0 03 Jun 2020
Finite Difference Neural Networks: Fast Prediction of Partial Differential Equations Zheng Shi Nur Sila Gulgec A. Berahas S. Pakzad Martin Takáč 55 10 0 02 Jun 2020
A probabilistic generative model for semi-supervised training of coarse-grained surrogates and enforcing physical constraints through virtual observables Maximilian Rixner P. Koutsourelakis AI4CE 85 22 0 02 Jun 2020
Fourier Neural Networks as Function Approximators and Differential Equation Solvers M. Ngom O. Marin 39 2 0 27 May 2020
Enhancing accuracy of deep learning algorithms by training with low-discrepancy sequences Siddhartha Mishra T. Konstantin Rusch 82 50 0 26 May 2020
DiscretizationNet: A Machine-Learning based solver for Navier-Stokes Equations using Finite Volume Discretization Rishikesh Ranade C. Hill Jay Pathak AI4CE 144 126 0 17 May 2020
Learning the gravitational force law and other analytic functions Atish Agarwala Abhimanyu Das Rina Panigrahy Qiuyi Zhang MLT 43 0 0 15 May 2020
Physics-informed neural network for ultrasound nondestructive quantification of surface breaking cracks K. Shukla P. C. D. Leoni J. Blackshire D. Sparkman George Karniadakis PINN AI4CE 82 233 0 07 May 2020
Active Training of Physics-Informed Neural Networks to Aggregate and Interpolate Parametric Solutions to the Navier-Stokes Equations Christopher J. Arthurs A. King PINN 152 52 0 02 May 2020
Deep Learning of Chaos Classification Woo Seok Lee S. Flach 29 24 0 23 Apr 2020
Bayesian differential programming for robust systems identification under uncertainty Yibo Yang Mohamed Aziz Bhouri P. Perdikaris OOD 121 32 0 15 Apr 2020
Physics-Incorporated Convolutional Recurrent Neural Networks for Source Identification and Forecasting of Dynamical Systems Priyabrata Saha Saurabh Dash Saibal Mukhopadhyay AI4CE 64 30 0 14 Apr 2020
Explicit Estimation of Derivatives from Data and Differential Equations by Gaussian Process Regression Hongqiao Wang Xiang Zhou 30 15 0 13 Apr 2020
Solving Newton's Equations of Motion with Large Timesteps using Recurrent Neural Networks based Operators J. Kadupitiya Geoffrey C. Fox V. Jadhao AI4CE 55 22 0 12 Apr 2020
nPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications G. Pang M. DÉlia M. Parks George Karniadakis PINN 54 155 0 08 Apr 2020
SINDy-PI: A Robust Algorithm for Parallel Implicit Sparse Identification of Nonlinear Dynamics Kadierdan Kaheman J. Nathan Kutz Steven L. Brunton 74 271 0 05 Apr 2020
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition E. Kharazmi Zhongqiang Zhang George Karniadakis 184 543 0 11 Mar 2020
Integrating Scientific Knowledge with Machine Learning for Engineering and Environmental Systems J. Willard X. Jia Shaoming Xu M. Steinbach Vipin Kumar AI4CE 156 412 0 10 Mar 2020
Methods to Recover Unknown Processes in Partial Differential Equations Using Data Zhen Chen Kailiang Wu D. Xiu 55 3 0 05 Mar 2020
A review of machine learning applications in wildfire science and management P. Jain Sean C. P. Coogan Sriram Ganapathi Subramanian Mark Crowley Steve Taylor M. Flannigan 54 485 0 02 Mar 2020
On generalized residue network for deep learning of unknown dynamical systems Zhen Chen D. Xiu AI4CE 66 46 0 23 Jan 2020
A Derivative-Free Method for Solving Elliptic Partial Differential Equations with Deep Neural Networks Jihun Han Mihai Nica A. Stinchcombe 75 50 0 17 Jan 2020
A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs S. Fresca Luca Dede' Andrea Manzoni AI4CE 90 267 0 12 Jan 2020
SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems Pengzhan Jin Zhen Zhang Aiqing Zhu Yifa Tang George Karniadakis 105 21 0 11 Jan 2020
Solving inverse-PDE problems with physics-aware neural networks Samira Pakravan Pouria A. Mistani M. Aragon-Calvo Frédéric Gibou AI4CE 42 54 0 10 Jan 2020
Deep learning reveals hidden interactions in complex systems Seungwoong Ha Hawoong Jeong GNN 40 4 0 03 Jan 2020
Computational model discovery with reinforcement learning M. Bassenne A. Lozano-Durán 39 10 0 29 Dec 2019
Tensor Basis Gaussian Process Models of Hyperelastic Materials A. Frankel Reese E. Jones L. Swiler 76 43 0 23 Dec 2019
Variational Physics-Informed Neural Networks For Solving Partial Differential Equations E. Kharazmi Z. Zhang George Karniadakis 92 246 0 27 Nov 2019
Solving Inverse Wave Scattering with Deep Learning Yuwei Fan Lexing Ying 69 28 0 27 Nov 2019
Solving Traveltime Tomography with Deep Learning Yuwei Fan Lexing Ying 85 15 0 25 Nov 2019
System Identification with Time-Aware Neural Sequence Models Thomas Demeester 47 12 0 21 Nov 2019
Towards Physics-informed Deep Learning for Turbulent Flow Prediction Rui Wang K. Kashinath M. Mustafa A. Albert Rose Yu PINN AI4CE 73 372 0 20 Nov 2019