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Physics-Informed Generative Adversarial Networks for Stochastic
  Differential Equations

Physics-Informed Generative Adversarial Networks for Stochastic Differential Equations

5 November 2018
Siyu Dai
Shawn Schaffert
Andreas G. Hofmann
ArXivPDFHTML

Papers citing "Physics-Informed Generative Adversarial Networks for Stochastic Differential Equations"

50 / 139 papers shown
Title
Generative Modeling of Random Fields from Limited Data via Constrained Latent Flow Matching
Generative Modeling of Random Fields from Limited Data via Constrained Latent Flow Matching
James E. Warner
Tristan A. Shah
Patrick E. Leser
Geoffrey F. Bomarito
Joshua D. Pribe
Michael C. Stanley
AI4CE
24
0
0
19 May 2025
Physics-Informed DeepONets for drift-diffusion on metric graphs: simulation and parameter identification
Physics-Informed DeepONets for drift-diffusion on metric graphs: simulation and parameter identification
J. Blechschmidt
Tom-Christian Riemer
M. Winkler
Martin Stoll
Jan-F. Pietschmann
33
0
0
07 May 2025
Ga$_2$O$_3$ TCAD Mobility Parameter Calibration using Simulation Augmented Machine Learning with Physics Informed Neural Network
Ga2_22​O3_33​ TCAD Mobility Parameter Calibration using Simulation Augmented Machine Learning with Physics Informed Neural Network
Le Minh Long Nguyen
Edric Ong
Matthew Eng
Yuhao Zhang
Hiu Yung Wong
39
0
0
03 Apr 2025
Scalable physics-informed deep generative model for solving forward and inverse stochastic differential equations
Scalable physics-informed deep generative model for solving forward and inverse stochastic differential equations
Shaoqian Zhou
Wen You
Ling Guo
Xuhui Meng
DiffM
MedIm
56
0
0
23 Mar 2025
Effective Field Neural Network
Effective Field Neural Network
Xi Liu
Yujun Zhao
Chun Yu Wan
Yang Zhang
Junwei Liu
AI4CE
45
0
0
24 Feb 2025
Al-Khwarizmi: Discovering Physical Laws with Foundation Models
Al-Khwarizmi: Discovering Physical Laws with Foundation Models
Christopher E. Mower
Haitham Bou-Ammar
AI4CE
79
1
0
03 Feb 2025
GoRINNs: Godunov-Riemann Informed Neural Networks for Learning
  Hyperbolic Conservation Laws
GoRINNs: Godunov-Riemann Informed Neural Networks for Learning Hyperbolic Conservation Laws
Dimitrios G. Patsatzis
Mario di Bernardo
L. Russo
Constantinos Siettos
AI4CE
41
1
0
29 Oct 2024
Multimodal Policies with Physics-informed Representations
Multimodal Policies with Physics-informed Representations
Haodong Feng
Peiyan Hu
Yue Wang
Dixia Fan
PINN
AI4CE
23
0
0
20 Oct 2024
A Primer on Variational Inference for Physics-Informed Deep Generative Modelling
A Primer on Variational Inference for Physics-Informed Deep Generative Modelling
Alex Glyn-Davies
Arnaud Vadeboncoeur
O. Deniz Akyildiz
Ieva Kazlauskaite
Mark Girolami
PINN
70
0
0
10 Sep 2024
DiffGrad for Physics-Informed Neural Networks
DiffGrad for Physics-Informed Neural Networks
Jamshaid Ul Rahman
Nimra
PINN
ODL
30
1
0
05 Sep 2024
Generating Physical Dynamics under Priors
Generating Physical Dynamics under Priors
Zihan Zhou
Xiaoxue Wang
Tianshu Yu
DiffM
AI4CE
77
0
0
01 Sep 2024
Physics-Informed Neural Networks and Extensions
Physics-Informed Neural Networks and Extensions
Maziar Raissi
P. Perdikaris
Nazanin Ahmadi
George Karniadakis
PINN
AI4CE
46
4
0
29 Aug 2024
Stability Analysis of Physics-Informed Neural Networks for Stiff Linear
  Differential Equations
Stability Analysis of Physics-Informed Neural Networks for Stiff Linear Differential Equations
Gianluca Fabiani
Erik Bollt
Constantinos Siettos
A. Yannacopoulos
56
0
0
27 Aug 2024
PinnDE: Physics-Informed Neural Networks for Solving Differential
  Equations
PinnDE: Physics-Informed Neural Networks for Solving Differential Equations
Jason Matthews
Alex Bihlo
PINN
42
1
0
19 Aug 2024
Data-Driven Stochastic Closure Modeling via Conditional Diffusion Model and Neural Operator
Data-Driven Stochastic Closure Modeling via Conditional Diffusion Model and Neural Operator
Xinghao Dong
Chuanqi Chen
Jin-Long Wu
DiffM
AI4CE
43
5
0
06 Aug 2024
Reservoir History Matching of the Norne field with generative exotic
  priors and a coupled Mixture of Experts -- Physics Informed Neural Operator
  Forward Model
Reservoir History Matching of the Norne field with generative exotic priors and a coupled Mixture of Experts -- Physics Informed Neural Operator Forward Model
C. Etienam
Juntao Yang
O. Ovcharenko
Issam Said
29
1
0
02 Jun 2024
MD-NOMAD: Mixture density nonlinear manifold decoder for emulating stochastic differential equations and uncertainty propagation
MD-NOMAD: Mixture density nonlinear manifold decoder for emulating stochastic differential equations and uncertainty propagation
Akshay Thakur
Souvik Chakraborty
42
1
0
24 Apr 2024
Learning WENO for entropy stable schemes to solve conservation laws
Learning WENO for entropy stable schemes to solve conservation laws
Philip Charles
Deep Ray
44
1
0
21 Mar 2024
Large-scale flood modeling and forecasting with FloodCast
Large-scale flood modeling and forecasting with FloodCast
Qingsong Xu
Yilei Shi
Jonathan Bamber
Chaojun Ouyang
Xiao Xiang Zhu
AI4CE
52
12
0
18 Mar 2024
Approximation of Solution Operators for High-dimensional PDEs
Approximation of Solution Operators for High-dimensional PDEs
Nathan Gaby
Xiaojing Ye
30
0
0
18 Jan 2024
Uncertainty quantification for noisy inputs-outputs in physics-informed
  neural networks and neural operators
Uncertainty quantification for noisy inputs-outputs in physics-informed neural networks and neural operators
Zongren Zou
Xuhui Meng
George Karniadakis
AI4CE
41
20
0
19 Nov 2023
Zero Coordinate Shift: Whetted Automatic Differentiation for
  Physics-informed Operator Learning
Zero Coordinate Shift: Whetted Automatic Differentiation for Physics-informed Operator Learning
Kuangdai Leng
Mallikarjun Shankar
Jeyan Thiyagalingam
34
2
0
01 Nov 2023
Tipping Points of Evolving Epidemiological Networks: Machine
  Learning-Assisted, Data-Driven Effective Modeling
Tipping Points of Evolving Epidemiological Networks: Machine Learning-Assisted, Data-Driven Effective Modeling
N. Evangelou
Tianqi Cui
J. M. Bello-Rivas
Alexei Makeev
Ioannis G. Kevrekidis
43
1
0
01 Nov 2023
PICProp: Physics-Informed Confidence Propagation for Uncertainty
  Quantification
PICProp: Physics-Informed Confidence Propagation for Uncertainty Quantification
Qianli Shen
Wai Hoh Tang
Zhun Deng
Apostolos F. Psaros
Kenji Kawaguchi
105
1
0
10 Oct 2023
Waveformer for modelling dynamical systems
Waveformer for modelling dynamical systems
N. Navaneeth
Souvik Chakraborty
18
2
0
08 Oct 2023
HyperSINDy: Deep Generative Modeling of Nonlinear Stochastic Governing
  Equations
HyperSINDy: Deep Generative Modeling of Nonlinear Stochastic Governing Equations
Mozes Jacobs
Bingni W. Brunton
Steven L. Brunton
J. Nathan Kutz
Ryan V. Raut
18
8
0
07 Oct 2023
FluxGAN: A Physics-Aware Generative Adversarial Network Model for
  Generating Microstructures That Maintain Target Heat Flux
FluxGAN: A Physics-Aware Generative Adversarial Network Model for Generating Microstructures That Maintain Target Heat Flux
A. Pimachev
Manoj Settipalli
Sanghamitra Neogi
AI4CE
43
0
0
06 Oct 2023
Tasks Makyth Models: Machine Learning Assisted Surrogates for Tipping
  Points
Tasks Makyth Models: Machine Learning Assisted Surrogates for Tipping Points
Gianluca Fabiani
N. Evangelou
Tianqi Cui
J. M. Bello-Rivas
Cristina P. Martin-Linares
Constantinos Siettos
Ioannis G. Kevrekidis
40
2
0
25 Sep 2023
Physics-guided training of GAN to improve accuracy in airfoil design
  synthesis
Physics-guided training of GAN to improve accuracy in airfoil design synthesis
Kazunari Wada
Katsuyuki Suzuki
Kazuo Yonekura
AI4CE
32
11
0
19 Aug 2023
InVAErt networks: a data-driven framework for model synthesis and
  identifiability analysis
InVAErt networks: a data-driven framework for model synthesis and identifiability analysis
Guoxiang Grayson Tong
Carlos A. Sing Long
Daniele E. Schiavazzi
31
7
0
24 Jul 2023
PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural
  Networks
PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural Networks
Leo Zhao
Xueying Ding
B. Prakash
PINN
AI4CE
28
28
0
21 Jul 2023
PI-VEGAN: Physics Informed Variational Embedding Generative Adversarial
  Networks for Stochastic Differential Equations
PI-VEGAN: Physics Informed Variational Embedding Generative Adversarial Networks for Stochastic Differential Equations
R. Gao
Yufeng Wang
Min Yang
Chuanjun Chen
GAN
34
2
0
21 Jul 2023
MyCrunchGPT: A chatGPT assisted framework for scientific machine
  learning
MyCrunchGPT: A chatGPT assisted framework for scientific machine learning
Varun V. Kumar
Leonard Gleyzer
Adar Kahana
K. Shukla
George Karniadakis
AI4CE
42
11
0
27 Jun 2023
PyKoopman: A Python Package for Data-Driven Approximation of the Koopman
  Operator
PyKoopman: A Python Package for Data-Driven Approximation of the Koopman Operator
Shaowu Pan
E. Kaiser
Brian M. de Silva
J. Nathan Kutz
Steven L. Brunton
21
8
0
22 Jun 2023
How does agency impact human-AI collaborative design space exploration?
  A case study on ship design with deep generative models
How does agency impact human-AI collaborative design space exploration? A case study on ship design with deep generative models
Shahroz Khan
P. Kaklis
K. Goucher-Lambert
14
3
0
16 May 2023
Bounded KRnet and its applications to density estimation and
  approximation
Bounded KRnet and its applications to density estimation and approximation
Lisheng Zeng
Xiaoliang Wan
Tao Zhou
30
5
0
15 May 2023
Uncertainty Quantification in Machine Learning for Engineering Design
  and Health Prognostics: A Tutorial
Uncertainty Quantification in Machine Learning for Engineering Design and Health Prognostics: A Tutorial
V. Nemani
Luca Biggio
Xun Huan
Zhen Hu
Olga Fink
Anh Tran
Yan Wang
Xiaoge Zhang
Chao Hu
AI4CE
35
75
0
07 May 2023
Learning Stochastic Dynamical System via Flow Map Operator
Learning Stochastic Dynamical System via Flow Map Operator
Yuán Chen
D. Xiu
AI4CE
27
15
0
05 May 2023
A Generative Modeling Framework for Inferring Families of Biomechanical
  Constitutive Laws in Data-Sparse Regimes
A Generative Modeling Framework for Inferring Families of Biomechanical Constitutive Laws in Data-Sparse Regimes
Minglang Yin
Zongren Zou
Enrui Zhang
C. Cavinato
J. Humphrey
George Karniadakis
SyDa
MedIm
AI4CE
53
11
0
04 May 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading
  Hysteretic Systems
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems
Subhayan De
P. Brewick
31
0
0
25 Apr 2023
Generative modeling of time-dependent densities via optimal transport
  and projection pursuit
Generative modeling of time-dependent densities via optimal transport and projection pursuit
Jonah Botvinick-Greenhouse
Yunan Yang
R. Maulik
OT
16
3
0
19 Apr 2023
Physical Knowledge Enhanced Deep Neural Network for Sea Surface
  Temperature Prediction
Physical Knowledge Enhanced Deep Neural Network for Sea Surface Temperature Prediction
Yuxin Meng
Feng Gao
Eric Rigall
Ran Dong
Junyu Dong
Q. Du
29
20
0
19 Apr 2023
Physics-Informed Deep Learning For Traffic State Estimation: A Survey
  and the Outlook
Physics-Informed Deep Learning For Traffic State Estimation: A Survey and the Outlook
Xuan Di
Rongye Shi
Zhaobin Mo
Yongjie Fu
PINN
AI4TS
AI4CE
34
28
0
03 Mar 2023
SDYN-GANs: Adversarial Learning Methods for Multistep Generative Models
  for General Order Stochastic Dynamics
SDYN-GANs: Adversarial Learning Methods for Multistep Generative Models for General Order Stochastic Dynamics
P. Stinis
C. Daskalakis
P. Atzberger
SyDa
GAN
27
5
0
07 Feb 2023
Neural Control of Parametric Solutions for High-dimensional Evolution
  PDEs
Neural Control of Parametric Solutions for High-dimensional Evolution PDEs
Nathan Gaby
X. Ye
Haomin Zhou
19
6
0
31 Jan 2023
Learning Vortex Dynamics for Fluid Inference and Prediction
Learning Vortex Dynamics for Fluid Inference and Prediction
Yitong Deng
Hong-Xing Yu
Jiajun Wu
Bo Zhu
MDE
37
19
0
27 Jan 2023
Physics-informed Information Field Theory for Modeling Physical Systems
  with Uncertainty Quantification
Physics-informed Information Field Theory for Modeling Physical Systems with Uncertainty Quantification
A. Alberts
Ilias Bilionis
34
12
0
18 Jan 2023
Learning Partial Differential Equations by Spectral Approximates of
  General Sobolev Spaces
Learning Partial Differential Equations by Spectral Approximates of General Sobolev Spaces
Juan Esteban Suarez Cardona
Phil-Alexander Hofmann
Michael Hecht
32
3
0
12 Jan 2023
L-HYDRA: Multi-Head Physics-Informed Neural Networks
L-HYDRA: Multi-Head Physics-Informed Neural Networks
Zongren Zou
George Karniadakis
AI4CE
18
26
0
05 Jan 2023
Replacing Automatic Differentiation by Sobolev Cubatures fastens Physics
  Informed Neural Nets and strengthens their Approximation Power
Replacing Automatic Differentiation by Sobolev Cubatures fastens Physics Informed Neural Nets and strengthens their Approximation Power
Juan Esteban Suarez Cardona
Michael Hecht
29
4
0
23 Nov 2022
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