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1901.06314
Cited By
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
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Papers citing
"Physics-Constrained Deep Learning for High-dimensional Surrogate Modeling and Uncertainty Quantification without Labeled Data"
50 / 297 papers shown
Title
Physics-Informed DeepONets for drift-diffusion on metric graphs: simulation and parameter identification
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Physics-Informed Neural Networks for Enhanced Interface Preservation in Lattice Boltzmann Multiphase Simulations
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Bregman Linearized Augmented Lagrangian Method for Nonconvex Constrained Stochastic Zeroth-order Optimization
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Xiao Wang
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13 Apr 2025
A discrete physics-informed training for projection-based reduced order models with neural networks
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S. A. D. Parga
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31 Mar 2025
EquiNO: A Physics-Informed Neural Operator for Multiscale Simulations
Hamidreza Eivazi
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Stefan H. A. Wittek
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Andreas Rausch
AI4CE
41
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27 Mar 2025
Neural Variable-Order Fractional Differential Equation Networks
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Wee Peng Tay
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54
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20 Mar 2025
Neural Tangent Kernel of Neural Networks with Loss Informed by Differential Operators
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Yicheng Li
Q. Lin
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34
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14 Mar 2025
From Equations to Insights: Unraveling Symbolic Structures in PDEs with LLMs
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Ling Liang
Krish Patel
Haizhao Yang
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13 Mar 2025
BeamVQ: Beam Search with Vector Quantization to Mitigate Data Scarcity in Physical Spatiotemporal Forecasting
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Xingjian Shi
Ruiqi Shu
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Rui Chen
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Shuaipeng Li
Yangyu Tao
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Xiaomeng Huang
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26 Feb 2025
Sampling-based Distributed Training with Message Passing Neural Network
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Sheel Nidhan
Rishikesh Ranade
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J. MacArt
GNN
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20 Feb 2025
Finite Element Operator Network for Solving Elliptic-type parametric PDEs
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Youngjoon Hong
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AI4CE
49
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Efficient PINNs: Multi-Head Unimodular Regularization of the Solutions Space
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AI4CE
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Namwoo Kang
AI4CE
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50
1
0
24 Dec 2024
Symplectic Neural Flows for Modeling and Discovery
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Davide Murari
Carola-Bibiane Schönlieb
Ferdia Sherry
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78
1
0
21 Dec 2024
Future Research Avenues for Artificial Intelligence in Digital Gaming: An Exploratory Report
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Data-Efficient Inference of Neural Fluid Fields via SciML Foundation Model
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Jingxuan Xu
Mauricio Soroco
Yunchao Wei
Wuyang Chen
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Physics Encoded Blocks in Residual Neural Network Architectures for Digital Twin Models
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Ashiq Anjum
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Anthony Conway
Anasol Pena Rios
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AI4CE
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Metamizer: a versatile neural optimizer for fast and accurate physics simulations
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Stefan Schulz
Reinhard Klein
PINN
AI4CE
39
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Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases
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Varun Shankar
Robert M. Kirby
Shandian Zhe
22
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0
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CAnDOIT: Causal Discovery with Observational and Interventional Data from Time-Series
Luca Castri
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32
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SetPINNs: Set-based Physics-informed Neural Networks
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Thomas Specht
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Stephan Mandt
Sophie Fellenz
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37
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Deep Learning for Koopman Operator Estimation in Idealized Atmospheric Dynamics
David Millard
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Stéphane Gaudreault
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A Primer on Variational Inference for Physics-Informed Deep Generative Modelling
Alex Glyn-Davies
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Mark Girolami
PINN
58
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10 Sep 2024
LeMON: Learning to Learn Multi-Operator Networks
Jingmin Sun
Zecheng Zhang
Hayden Schaeffer
18
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General-Kindred Physics-Informed Neural Network to the Solutions of Singularly Perturbed Differential Equations
Sen Wang
Peizhi Zhao
Qinglong Ma
Tao Song
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16
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Knowledge-based Neural Ordinary Differential Equations for Cosserat Rod-based Soft Robots
Tom Z. Jiahao
Ryan Adolf
Cynthia Sung
M. Ani Hsieh
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Model Based and Physics Informed Deep Learning Neural Network Structures
A. Mohammad-Djafari
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33
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Neural Network Emulator for Atmospheric Chemical ODE
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Petri S. Clusius
Michael Boy
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Weak neural variational inference for solving Bayesian inverse problems without forward models: applications in elastography
Vincent C. Scholz
Yaohua Zang
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22
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0
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Multi-physics Simulation Guided Generative Diffusion Models with Applications in Fluid and Heat Dynamics
Naichen Shi
Hao Yan
Shenghan Guo
Raed Al Kontar
DiffM
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22
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25 Jul 2024
Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networks
Spyros Rigas
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Theofilos Papadopoulos
Fotios Anagnostopoulos
Georgios Alexandridis
AI4CE
29
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24 Jul 2024
Bayesian Entropy Neural Networks for Physics-Aware Prediction
R. Rathnakumar
Jiayu Huang
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Yongming Liu
19
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A Fast Learning-Based Surrogate of Electrical Machines using a Reduced Basis
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Théo Delagnes
AI4CE
25
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VS-PINN: A fast and efficient training of physics-informed neural networks using variable-scaling methods for solving PDEs with stiff behavior
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10 Jun 2024
Pi-fusion: Physics-informed diffusion model for learning fluid dynamics
Jing Qiu
Jiancheng Huang
Xiangdong Zhang
Zeng Lin
Minglei Pan
Zengding Liu
F. Miao
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06 Jun 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media
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21
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29 May 2024
Efficient Prior Calibration From Indirect Data
O. Deniz Akyildiz
M. Girolami
Andrew M. Stuart
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28 May 2024
Sparse
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Rick Archibald
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Multi-fidelity Hamiltonian Monte Carlo
Dhruv V. Patel
Jonghyun Lee
Matthew W. Farthing
P. Kitanidis
Eric F. Darve
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Adaptive deep density approximation for stochastic dynamical systems
Junjie He
Qifeng Liao
Xiaoliang Wan
19
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A finite operator learning technique for mapping the elastic properties of microstructures to their mechanical deformations
Shahed Rezaei
Reza Najian Asl
S. Faroughi
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Ali Harandi
Rasoul Najafi Koopas
G. Laschet
Stefanie Reese
Markus Apel
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28 Mar 2024
Learning-based Multi-continuum Model for Multiscale Flow Problems
Fan Wang
Yating Wang
Wing Tat Leung
Zongben Xu
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Can physical information aid the generalization ability of Neural Networks for hydraulic modeling?
Gianmarco Guglielmo
A. Montessori
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AI4CE
16
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MPIPN: A Multi Physics-Informed PointNet for solving parametric acoustic-structure systems
Chu Wang
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Physics-Informed Machine Learning for Seismic Response Prediction OF Nonlinear Steel Moment Resisting Frame Structures
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Pu Ren
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Hao-Lun Sun
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Data-Efficient Operator Learning via Unsupervised Pretraining and In-Context Learning
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Jialin Song
Pu Ren
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Michael W. Mahoney
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Deep adaptive sampling for surrogate modeling without labeled data
Xili Wang
Keju Tang
Jiayu Zhai
Xiaoliang Wan
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17
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Kolmogorov n-Widths for Multitask Physics-Informed Machine Learning (PIML) Methods: Towards Robust Metrics
Michael Penwarden
H. Owhadi
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AI4CE
14
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16 Feb 2024
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