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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"

50 / 297 papers shown
Title
Utilising physics-guided deep learning to overcome data scarcity
Utilising physics-guided deep learning to overcome data scarcity
Jinshuai Bai
Laith Alzubaidi
Qingxia Wang
E. Kuhl
Bennamoun
Yuantong T. Gu
PINN
AI4CE
26
3
0
24 Nov 2022
Robustness of Physics-Informed Neural Networks to Noise in Sensor Data
Robustness of Physics-Informed Neural Networks to Noise in Sensor Data
Jian Cheng Wong
P. Chiu
C. Ooi
My Ha Da
32
3
0
22 Nov 2022
Physics-Informed Koopman Network
Physics-Informed Koopman Network
Yuying Liu
A. Sholokhov
Hassan Mansour
S. Nabi
AI4CE
28
3
0
17 Nov 2022
Physics-informed neural networks for operator equations with stochastic
  data
Physics-informed neural networks for operator equations with stochastic data
Paul Escapil-Inchauspé
G. A. Ruz
29
2
0
15 Nov 2022
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in
  Scientific Computing
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing
Salah A. Faroughi
N. Pawar
C. Fernandes
Maziar Raissi
Subasish Das
N. Kalantari
S. K. Mahjour
PINN
AI4CE
27
48
0
14 Nov 2022
Adaptive physics-informed neural operator for coarse-grained
  non-equilibrium flows
Adaptive physics-informed neural operator for coarse-grained non-equilibrium flows
Ivan Zanardi
Simone Venturi
M. Panesi
AI4CE
57
17
0
27 Oct 2022
Adaptive deep density approximation for fractional Fokker-Planck
  equations
Adaptive deep density approximation for fractional Fokker-Planck equations
Li Zeng
Xiaoliang Wan
Tao Zhou
13
5
0
26 Oct 2022
SeismicNet: Physics-informed neural networks for seismic wave modeling
  in semi-infinite domain
SeismicNet: Physics-informed neural networks for seismic wave modeling in semi-infinite domain
Pu Ren
Chengping Rao
Su Chen
Jian-Xun Wang
Hao Sun
Yang Liu
44
41
0
25 Oct 2022
Meta Learning of Interface Conditions for Multi-Domain Physics-Informed
  Neural Networks
Meta Learning of Interface Conditions for Multi-Domain Physics-Informed Neural Networks
Shibo Li
Michael Penwarden
Yiming Xu
Conor Tillinghast
Akil Narayan
Robert M. Kirby
Shandian Zhe
AI4CE
16
4
0
23 Oct 2022
Bayesian deep learning framework for uncertainty quantification in high
  dimensions
Bayesian deep learning framework for uncertainty quantification in high dimensions
Jeahan Jung
Minseok Choi
BDL
UQCV
13
1
0
21 Oct 2022
Probabilistic partition of unity networks for high-dimensional
  regression problems
Probabilistic partition of unity networks for high-dimensional regression problems
Tiffany Fan
N. Trask
M. DÉlia
Eric F. Darve
11
1
0
06 Oct 2022
Solving Coupled Differential Equation Groups Using PINO-CDE
Solving Coupled Differential Equation Groups Using PINO-CDE
Wenhao Ding
Qing He
Hanghang Tong
Qingjing Wang
Ping Wang
OOD
AI4CE
27
4
0
01 Oct 2022
Solving Seismic Wave Equations on Variable Velocity Models with Fourier
  Neural Operator
Solving Seismic Wave Equations on Variable Velocity Models with Fourier Neural Operator
Bian Li
Hanchen Wang
Shihang Feng
Xiu Yang
Youzuo Lin
65
33
0
25 Sep 2022
Approximating the full-field temperature evolution in 3D electronic
  systems from randomized "Minecraft" systems
Approximating the full-field temperature evolution in 3D electronic systems from randomized "Minecraft" systems
Monika Stipsitz
H. Sanchis-Alepuz
AI4CE
13
2
0
21 Sep 2022
MRF-PINN: A Multi-Receptive-Field convolutional physics-informed neural
  network for solving partial differential equations
MRF-PINN: A Multi-Receptive-Field convolutional physics-informed neural network for solving partial differential equations
Shihong Zhang
Chi Zhang
Bo Wang
AI4CE
19
3
0
06 Sep 2022
A variational neural network approach for glacier modelling with
  nonlinear rheology
A variational neural network approach for glacier modelling with nonlinear rheology
Tiangang Cui
Zhongjian Wang
Zhiwen Zhang
24
4
0
05 Sep 2022
Deep importance sampling using tensor trains with application to a
  priori and a posteriori rare event estimation
Deep importance sampling using tensor trains with application to a priori and a posteriori rare event estimation
Tiangang Cui
S. Dolgov
Robert Scheichl
41
3
0
05 Sep 2022
Learning Differential Operators for Interpretable Time Series Modeling
Learning Differential Operators for Interpretable Time Series Modeling
Yingtao Luo
Chang Xu
Yang Liu
Weiqing Liu
Shun Zheng
Jiang Bian
AI4TS
39
8
0
03 Sep 2022
From latent dynamics to meaningful representations
From latent dynamics to meaningful representations
Dedi Wang
Yihang Wang
Luke J. Evans
P. Tiwary
AI4CE
32
7
0
02 Sep 2022
A Comprehensive Review of Digital Twin -- Part 1: Modeling and Twinning
  Enabling Technologies
A Comprehensive Review of Digital Twin -- Part 1: Modeling and Twinning Enabling Technologies
Adam Thelen
Xiaoge Zhang
Olga Fink
Yan Lu
Sayan Ghosh
B. Youn
Michael D. Todd
S. Mahadevan
Chao Hu
Zhen Hu
SyDa
AI4CE
27
187
0
26 Aug 2022
NeuralUQ: A comprehensive library for uncertainty quantification in
  neural differential equations and operators
NeuralUQ: A comprehensive library for uncertainty quantification in neural differential equations and operators
Zongren Zou
Xuhui Meng
Apostolos F. Psaros
George Karniadakis
AI4CE
25
36
0
25 Aug 2022
Wave simulation in non-smooth media by PINN with quadratic neural
  network and PML condition
Wave simulation in non-smooth media by PINN with quadratic neural network and PML condition
Yanqi Wu
H. Aghamiry
S. Operto
Jianwei Ma
11
1
0
16 Aug 2022
Fully probabilistic deep models for forward and inverse problems in
  parametric PDEs
Fully probabilistic deep models for forward and inverse problems in parametric PDEs
A. Vadeboncoeur
Ömer Deniz Akyildiz
Ieva Kazlauskaite
Mark Girolami
F. Cirak
AI4CE
23
17
0
09 Aug 2022
Approximate Bayesian Neural Operators: Uncertainty Quantification for
  Parametric PDEs
Approximate Bayesian Neural Operators: Uncertainty Quantification for Parametric PDEs
Emilia Magnani
Nicholas Kramer
Runa Eschenhagen
Lorenzo Rosasco
Philipp Hennig
UQCV
BDL
13
9
0
02 Aug 2022
Physics-informed Deep Super-resolution for Spatiotemporal Data
Physics-informed Deep Super-resolution for Spatiotemporal Data
Pu Ren
Chengping Rao
Yang Liu
Zihan Ma
Qi Wang
Jianxin Wang
Hao Sun
24
13
0
02 Aug 2022
AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable
  Basis Expansion for Multiphase Flow Problems
AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems
Yating Wang
W. Leung
Guang Lin
11
1
0
24 Jul 2022
Neural modal ordinary differential equations: Integrating physics-based
  modeling with neural ordinary differential equations for modeling
  high-dimensional monitored structures
Neural modal ordinary differential equations: Integrating physics-based modeling with neural ordinary differential equations for modeling high-dimensional monitored structures
Zhilu Lai
Wei Liu
Xudong Jian
Kiran Bacsa
Limin Sun
Eleni Chatzi
AI4CE
26
22
0
16 Jul 2022
PIAT: Physics Informed Adversarial Training for Solving Partial
  Differential Equations
PIAT: Physics Informed Adversarial Training for Solving Partial Differential Equations
S. Shekarpaz
Mohammad Azizmalayeri
M. Rohban
23
4
0
14 Jul 2022
Adaptive Self-supervision Algorithms for Physics-informed Neural
  Networks
Adaptive Self-supervision Algorithms for Physics-informed Neural Networks
Shashank Subramanian
Robert M. Kirby
Michael W. Mahoney
A. Gholami
30
25
0
08 Jul 2022
Physics-Informed Deep Neural Operator Networks
Physics-Informed Deep Neural Operator Networks
S. Goswami
Aniruddha Bora
Yue Yu
George Karniadakis
PINN
AI4CE
31
99
0
08 Jul 2022
A Deep Learning Approach for the solution of Probability Density
  Evolution of Stochastic Systems
A Deep Learning Approach for the solution of Probability Density Evolution of Stochastic Systems
S. Pourtakdoust
Amir H. Khodabakhsh
33
12
0
05 Jul 2022
The Deep Ritz Method for Parametric $p$-Dirichlet Problems
The Deep Ritz Method for Parametric ppp-Dirichlet Problems
A. Kaltenbach
Marius Zeinhofer
14
2
0
05 Jul 2022
opPINN: Physics-Informed Neural Network with operator learning to
  approximate solutions to the Fokker-Planck-Landau equation
opPINN: Physics-Informed Neural Network with operator learning to approximate solutions to the Fokker-Planck-Landau equation
Jae Yong Lee
J. Jang
H. Hwang
9
9
0
05 Jul 2022
Density Regression and Uncertainty Quantification with Bayesian Deep
  Noise Neural Networks
Density Regression and Uncertainty Quantification with Bayesian Deep Noise Neural Networks
Daiwei Zhang
Tianci Liu
Jian Kang
BDL
UQCV
35
2
0
12 Jun 2022
Multilayer Perceptron Based Stress Evolution Analysis under DC Current
  Stressing for Multi-segment Wires
Multilayer Perceptron Based Stress Evolution Analysis under DC Current Stressing for Multi-segment Wires
Tianshu Hou
Peining Zhen
N. Wong
Quan Chen
G. Shi
Shuqi Wang
Hai-Bao Chen
21
10
0
17 May 2022
A comparison of PINN approaches for drift-diffusion equations on metric
  graphs
A comparison of PINN approaches for drift-diffusion equations on metric graphs
J. Blechschmidt
Jan-Frederik Pietschman
Tom-Christian Riemer
Martin Stoll
M. Winkler
16
2
0
15 May 2022
Bayesian Physics-Informed Extreme Learning Machine for Forward and
  Inverse PDE Problems with Noisy Data
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
46
25
0
14 May 2022
A hybrid data driven-physics constrained Gaussian process regression
  framework with deep kernel for uncertainty quantification
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
AutoKE: An automatic knowledge embedding framework for scientific
  machine learning
AutoKE: An automatic knowledge embedding framework for scientific machine learning
Mengge Du
Yuntian Chen
Dongxiao Zhang
AI4CE
33
11
0
11 May 2022
GCN-FFNN: A Two-Stream Deep Model for Learning Solution to Partial
  Differential Equations
GCN-FFNN: A Two-Stream Deep Model for Learning Solution to Partial Differential Equations
Onur Bilgin
Thomas Vergutz
S. Mehrkanoon
GNN
9
3
0
28 Apr 2022
A Review of Machine Learning Methods Applied to Structural Dynamics and
  Vibroacoustic
A Review of Machine Learning Methods Applied to Structural Dynamics and Vibroacoustic
Barbara Z Cunha
C. Droz
A. Zine
Stéphane Foulard
M. Ichchou
AI4CE
29
84
0
13 Apr 2022
MultiAuto-DeepONet: A Multi-resolution Autoencoder DeepONet for
  Nonlinear Dimension Reduction, Uncertainty Quantification and Operator
  Learning of Forward and Inverse Stochastic Problems
MultiAuto-DeepONet: A Multi-resolution Autoencoder DeepONet for Nonlinear Dimension Reduction, Uncertainty Quantification and Operator Learning of Forward and Inverse Stochastic Problems
Jiahao Zhang
Shiqi Zhang
Guang Lin
15
14
0
07 Apr 2022
PAGP: A physics-assisted Gaussian process framework with active learning
  for forward and inverse problems of partial differential equations
PAGP: A physics-assisted Gaussian process framework with active learning for forward and inverse problems of partial differential equations
Jiahao Zhang
Shiqi Zhang
Guang Lin
35
3
0
06 Apr 2022
Deep surrogate accelerated delayed-acceptance HMC for Bayesian inference
  of spatio-temporal heat fluxes in rotating disc systems
Deep surrogate accelerated delayed-acceptance HMC for Bayesian inference of spatio-temporal heat fluxes in rotating disc systems
Teo Deveney
E. Mueller
T. Shardlow
AI4CE
19
0
0
05 Apr 2022
SNUG: Self-Supervised Neural Dynamic Garments
SNUG: Self-Supervised Neural Dynamic Garments
I. Santesteban
M. Otaduy
Dan Casas
3DH
AI4CE
19
78
0
05 Apr 2022
Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using
  DeepONets
Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using DeepONets
Subhayan De
Matthew J. Reynolds
M. Hassanaly
Ryan N. King
Alireza Doostan
AI4CE
26
37
0
03 Apr 2022
A Deep Learning Approach for Thermal Plume Prediction of Groundwater
  Heat Pumps
A Deep Learning Approach for Thermal Plume Prediction of Groundwater Heat Pumps
Raphael Leiteritz
K. Davis
Miriam Schulte
Dirk Pflüger
AI4CE
16
2
0
29 Mar 2022
Energy networks for state estimation with random sensors using sparse
  labels
Energy networks for state estimation with random sensors using sparse labels
Y. Kumar
S. Chakraborty
19
0
0
12 Mar 2022
Modeling the Shape of the Brain Connectome via Deep Neural Networks
Modeling the Shape of the Brain Connectome via Deep Neural Networks
Haocheng Dai
M. Bauer
P. T. Fletcher
S. Joshi
MedIm
DiffM
17
1
0
06 Mar 2022
WaveY-Net: Physics-augmented deep learning for high-speed
  electromagnetic simulation and optimization
WaveY-Net: Physics-augmented deep learning for high-speed electromagnetic simulation and optimization
Ming-Keh Chen
Robert Lupoiu
Chenkai Mao
Der-Han Huang
Jiaqi Jiang
P. Lalanne
Jonathan A. Fan
20
19
0
02 Mar 2022
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