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

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

18 January 2019
Yinhao Zhu
N. Zabaras
P. Koutsourelakis
P. Perdikaris
    PINN
    AI4CE
ArXivPDFHTML

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

47 / 297 papers shown
Title
Fast Modeling and Understanding Fluid Dynamics Systems with
  Encoder-Decoder Networks
Fast Modeling and Understanding Fluid Dynamics Systems with Encoder-Decoder Networks
Rohan Thavarajah
X. Zhai
Zhe-Rui Ma
D. Castineira
PINN
AI4CE
6
8
0
09 Jun 2020
Multi-fidelity Generative Deep Learning Turbulent Flows
Multi-fidelity Generative Deep Learning Turbulent Flows
N. Geneva
N. Zabaras
AI4CE
6
44
0
08 Jun 2020
Deep learning of free boundary and Stefan problems
Deep learning of free boundary and Stefan problems
Sifan Wang
P. Perdikaris
6
80
0
04 Jun 2020
A probabilistic generative model for semi-supervised training of
  coarse-grained surrogates and enforcing physical constraints through virtual
  observables
A probabilistic generative model for semi-supervised training of coarse-grained surrogates and enforcing physical constraints through virtual observables
Maximilian Rixner
P. Koutsourelakis
AI4CE
6
17
0
02 Jun 2020
Deep Learning of Dynamic Subsurface Flow via Theory-guided Generative
  Adversarial Network
Deep Learning of Dynamic Subsurface Flow via Theory-guided Generative Adversarial Network
Tianhao He
Dongxiao Zhang
AI4CE
14
8
0
02 Jun 2020
Transfer learning based multi-fidelity physics informed deep neural
  network
Transfer learning based multi-fidelity physics informed deep neural network
S. Chakraborty
PINN
OOD
AI4CE
7
162
0
19 May 2020
DiscretizationNet: A Machine-Learning based solver for Navier-Stokes
  Equations using Finite Volume Discretization
DiscretizationNet: A Machine-Learning based solver for Navier-Stokes Equations using Finite Volume Discretization
Rishikesh Ranade
C. Hill
Jay Pathak
AI4CE
33
121
0
17 May 2020
A Combined Data-driven and Physics-driven Method for Steady Heat
  Conduction Prediction using Deep Convolutional Neural Networks
A Combined Data-driven and Physics-driven Method for Steady Heat Conduction Prediction using Deep Convolutional Neural Networks
Hao Ma
Xiangyu Y. Hu
Yuxuan Zhang
Nils Thuerey
O. Haidn
AI4CE
13
12
0
16 May 2020
Learning Composable Energy Surrogates for PDE Order Reduction
Learning Composable Energy Surrogates for PDE Order Reduction
Alex Beatson
Jordan T. Ash
Geoffrey Roeder
Tianju Xue
Ryan P. Adams
AI4CE
12
15
0
13 May 2020
Learning on dynamic statistical manifolds
Learning on dynamic statistical manifolds
F. Boso
D. Tartakovsky
11
10
0
07 May 2020
Designing Accurate Emulators for Scientific Processes using
  Calibration-Driven Deep Models
Designing Accurate Emulators for Scientific Processes using Calibration-Driven Deep Models
Jayaraman J. Thiagarajan
Bindya Venkatesh
Rushil Anirudh
P. Bremer
J. Gaffney
G. Anderson
B. Spears
8
21
0
05 May 2020
Simulation free reliability analysis: A physics-informed deep learning
  based approach
Simulation free reliability analysis: A physics-informed deep learning based approach
S. Chakraborty
AI4CE
9
16
0
04 May 2020
A Dual-Dimer Method for Training Physics-Constrained Neural Networks
  with Minimax Architecture
A Dual-Dimer Method for Training Physics-Constrained Neural Networks with Minimax Architecture
Dehao Liu
Yan Wang
6
71
0
01 May 2020
Efficient Uncertainty Quantification for Dynamic Subsurface Flow with
  Surrogate by Theory-guided Neural Network
Efficient Uncertainty Quantification for Dynamic Subsurface Flow with Surrogate by Theory-guided Neural Network
Nanzhe Wang
Haibin Chang
Dongxiao Zhang
18
59
0
25 Apr 2020
Bayesian differential programming for robust systems identification
  under uncertainty
Bayesian differential programming for robust systems identification under uncertainty
Yibo Yang
Mohamed Aziz Bhouri
P. Perdikaris
OOD
12
32
0
15 Apr 2020
A non-cooperative meta-modeling game for automated third-party
  calibrating, validating, and falsifying constitutive laws with parallelized
  adversarial attacks
A non-cooperative meta-modeling game for automated third-party calibrating, validating, and falsifying constitutive laws with parallelized adversarial attacks
Kun Wang
WaiChing Sun
Q. Du
6
22
0
13 Apr 2020
Integrating Scientific Knowledge with Machine Learning for Engineering
  and Environmental Systems
Integrating Scientific Knowledge with Machine Learning for Engineering and Environmental Systems
J. Willard
X. Jia
Shaoming Xu
M. Steinbach
Vipin Kumar
AI4CE
80
385
0
10 Mar 2020
Physics-informed deep learning for incompressible laminar flows
Physics-informed deep learning for incompressible laminar flows
Chengping Rao
Hao-Lun Sun
Yang Liu
PINN
AI4CE
9
222
0
24 Feb 2020
A deep learning framework for solution and discovery in solid mechanics
A deep learning framework for solution and discovery in solid mechanics
E. Haghighat
M. Raissi
A. Moure
H. Gómez
R. Juanes
AI4CE
PINN
6
56
0
14 Feb 2020
A Derivative-Free Method for Solving Elliptic Partial Differential
  Equations with Deep Neural Networks
A Derivative-Free Method for Solving Elliptic Partial Differential Equations with Deep Neural Networks
Jihun Han
Mihai Nica
A. Stinchcombe
14
49
0
17 Jan 2020
Physics Informed Deep Learning for Transport in Porous Media. Buckley
  Leverett Problem
Physics Informed Deep Learning for Transport in Porous Media. Buckley Leverett Problem
Cedric G. Fraces
Adrien Papaioannou
H. Tchelepi
AI4CE
PINN
14
19
0
15 Jan 2020
Understanding and mitigating gradient pathologies in physics-informed
  neural networks
Understanding and mitigating gradient pathologies in physics-informed neural networks
Sifan Wang
Yujun Teng
P. Perdikaris
AI4CE
PINN
8
289
0
13 Jan 2020
Sparse Polynomial Chaos expansions using Variational Relevance Vector
  Machines
Sparse Polynomial Chaos expansions using Variational Relevance Vector Machines
Panagiotis Tsilifis
I. Papaioannou
D. Štraub
F. Nobile
13
18
0
23 Dec 2019
Improved Surrogates in Inertial Confinement Fusion with Manifold and
  Cycle Consistencies
Improved Surrogates in Inertial Confinement Fusion with Manifold and Cycle Consistencies
Rushil Anirudh
Jayaraman J. Thiagarajan
P. Bremer
B. Spears
AI4CE
8
40
0
17 Dec 2019
VarNet: Variational Neural Networks for the Solution of Partial
  Differential Equations
VarNet: Variational Neural Networks for the Solution of Partial Differential Equations
Reza Khodayi-mehr
Michael M. Zavlanos
13
64
0
16 Dec 2019
Coercing Machine Learning to Output Physically Accurate Results
Coercing Machine Learning to Output Physically Accurate Results
Z. Geng
Dan Johnson
Ronald Fedkiw
3DH
13
37
0
21 Oct 2019
DeepONet: Learning nonlinear operators for identifying differential
  equations based on the universal approximation theorem of operators
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators
Lu Lu
Pengzhan Jin
George Karniadakis
23
1,980
0
08 Oct 2019
Exploring Generative Physics Models with Scientific Priors in Inertial
  Confinement Fusion
Exploring Generative Physics Models with Scientific Priors in Inertial Confinement Fusion
Rushil Anirudh
Kyong Hwan Jin
Shusen Liu
P. Bremer
M. Stuber
PINN
AI4CE
11
0
0
03 Oct 2019
A deep surrogate approach to efficient Bayesian inversion in PDE and
  integral equation models
A deep surrogate approach to efficient Bayesian inversion in PDE and integral equation models
Teo Deveney
Amelia Gosse
Peter Du
15
9
0
03 Oct 2019
D3M: A deep domain decomposition method for partial differential
  equations
D3M: A deep domain decomposition method for partial differential equations
Ke Li
Keju Tang
Tianfan Wu
Qifeng Liao
AI4CE
9
113
0
24 Sep 2019
Physics-informed semantic inpainting: Application to geostatistical
  modeling
Physics-informed semantic inpainting: Application to geostatistical modeling
Q. Zheng
L. Zeng
Zhendan Cao
George Karniadakis
GAN
8
54
0
19 Sep 2019
Neural reparameterization improves structural optimization
Neural reparameterization improves structural optimization
Stephan Hoyer
Jascha Narain Sohl-Dickstein
S. Greydanus
AI4CE
11
67
0
10 Sep 2019
Physics-Informed Machine Learning Models for Predicting the Progress of
  Reactive-Mixing
Physics-Informed Machine Learning Models for Predicting the Progress of Reactive-Mixing
M. Mudunuru
S. Karra
14
10
0
28 Aug 2019
DeepXDE: A deep learning library for solving differential equations
DeepXDE: A deep learning library for solving differential equations
Lu Lu
Xuhui Meng
Zhiping Mao
George Karniadakis
PINN
AI4CE
14
1,466
0
10 Jul 2019
Transfer learning enhanced physics informed neural network for
  phase-field modeling of fracture
Transfer learning enhanced physics informed neural network for phase-field modeling of fracture
S. Goswami
C. Anitescu
S. Chakraborty
Timon Rabczuk
PINN
22
588
0
04 Jul 2019
Integration of adversarial autoencoders with residual dense
  convolutional networks for estimation of non-Gaussian hydraulic
  conductivities
Integration of adversarial autoencoders with residual dense convolutional networks for estimation of non-Gaussian hydraulic conductivities
S. Mo
N. Zabaras
Xiaoqing Shi
Jichun Wu
8
43
0
26 Jun 2019
Data-driven prediction of a multi-scale Lorenz 96 chaotic system using
  deep learning methods: Reservoir computing, ANN, and RNN-LSTM
Data-driven prediction of a multi-scale Lorenz 96 chaotic system using deep learning methods: Reservoir computing, ANN, and RNN-LSTM
A. Chattopadhyay
P. Hassanzadeh
D. Subramanian
AI4CE
8
40
0
20 Jun 2019
Modeling the Dynamics of PDE Systems with Physics-Constrained Deep
  Auto-Regressive Networks
Modeling the Dynamics of PDE Systems with Physics-Constrained Deep Auto-Regressive Networks
N. Geneva
N. Zabaras
AI4CE
10
265
0
13 Jun 2019
Physics-Informed Probabilistic Learning of Linear Embeddings of
  Non-linear Dynamics With Guaranteed Stability
Physics-Informed Probabilistic Learning of Linear Embeddings of Non-linear Dynamics With Guaranteed Stability
Shaowu Pan
Karthik Duraisamy
10
134
0
09 Jun 2019
Encoding Invariances in Deep Generative Models
Encoding Invariances in Deep Generative Models
Viraj Shah
Ameya Joshi
Sambuddha Ghosal
B. Pokuri
S. Sarkar
Baskar Ganapathysubramanian
C. Hegde
PINN
GAN
11
30
0
04 Jun 2019
Machine learning in cardiovascular flows modeling: Predicting arterial
  blood pressure from non-invasive 4D flow MRI data using physics-informed
  neural networks
Machine learning in cardiovascular flows modeling: Predicting arterial blood pressure from non-invasive 4D flow MRI data using physics-informed neural networks
Georgios Kissas
Yibo Yang
E. Hwuang
W. Witschey
John A. Detre
P. Perdikaris
AI4CE
13
364
0
13 May 2019
Variational training of neural network approximations of solution maps
  for physical models
Variational training of neural network approximations of solution maps for physical models
Yingzhou Li
Jianfeng Lu
Anqi Mao
GAN
17
35
0
07 May 2019
Informed Machine Learning -- A Taxonomy and Survey of Integrating
  Knowledge into Learning Systems
Informed Machine Learning -- A Taxonomy and Survey of Integrating Knowledge into Learning Systems
Laura von Rueden
S. Mayer
Katharina Beckh
B. Georgiev
Sven Giesselbach
...
Rajkumar Ramamurthy
Michal Walczak
Jochen Garcke
Christian Bauckhage
Jannis Schuecker
17
615
0
29 Mar 2019
A physics-aware, probabilistic machine learning framework for
  coarse-graining high-dimensional systems in the Small Data regime
A physics-aware, probabilistic machine learning framework for coarse-graining high-dimensional systems in the Small Data regime
Constantin Grigo
P. Koutsourelakis
AI4CE
6
25
0
11 Feb 2019
Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networks
Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networks
Chelsea Finn
Pieter Abbeel
Sergey Levine
OOD
243
11,568
0
09 Mar 2017
Simple and Scalable Predictive Uncertainty Estimation using Deep
  Ensembles
Simple and Scalable Predictive Uncertainty Estimation using Deep Ensembles
Balaji Lakshminarayanan
Alexander Pritzel
Charles Blundell
UQCV
BDL
268
5,635
0
05 Dec 2016
Dropout as a Bayesian Approximation: Representing Model Uncertainty in
  Deep Learning
Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learning
Y. Gal
Zoubin Ghahramani
UQCV
BDL
247
9,042
0
06 Jun 2015
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