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Scientific Machine Learning through Physics-Informed Neural Networks:
  Where we are and What's next

Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next

14 January 2022
S. Cuomo
Vincenzo Schiano Di Cola
F. Giampaolo
G. Rozza
Maizar Raissi
F. Piccialli
    PINN
ArXivPDFHTML

Papers citing "Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next"

50 / 69 papers shown
Title
SPIN-ODE: Stiff Physics-Informed Neural ODE for Chemical Reaction Rate Estimation
SPIN-ODE: Stiff Physics-Informed Neural ODE for Chemical Reaction Rate Estimation
Wenqing Peng
Zhi-Song Liu
Michael Boy
24
0
0
08 May 2025
Physics-inspired Energy Transition Neural Network for Sequence Learning
Physics-inspired Energy Transition Neural Network for Sequence Learning
Zhou Wu
Junyi An
Baile Xu
F. Shen
Jian Zhao
PINN
20
0
0
06 May 2025
Reduced-order structure-property linkages for stochastic metamaterials
Reduced-order structure-property linkages for stochastic metamaterials
Hooman Danesh
Maruthi Annamaraju
T. Brepols
Stefanie Reese
Surya R. Kalidindi
15
0
0
02 May 2025
A general physics-constrained method for the modelling of equation's closure terms with sparse data
A general physics-constrained method for the modelling of equation's closure terms with sparse data
Tian Chen
Shengping Liu
Li Liu
Heng Yong
PINN
AI4CE
34
0
0
30 Apr 2025
Optimizing Hard Thresholding for Sparse Model Discovery
Optimizing Hard Thresholding for Sparse Model Discovery
Derek W. Jollie
Scott G. McCalla
41
0
0
28 Apr 2025
Accelerating Multiscale Modeling with Hybrid Solvers: Coupling FEM and Neural Operators with Domain Decomposition
Accelerating Multiscale Modeling with Hybrid Solvers: Coupling FEM and Neural Operators with Domain Decomposition
Wei Wang
Maryam Hakimzadeh
Haihui Ruan
Somdatta Goswami
AI4CE
27
0
0
15 Apr 2025
Shape Modeling of Longitudinal Medical Images: From Diffeomorphic Metric Mapping to Deep Learning
Shape Modeling of Longitudinal Medical Images: From Diffeomorphic Metric Mapping to Deep Learning
Edwin Tay
Nazli Tümer
Amir A. Zadpoor
MedIm
47
0
0
27 Mar 2025
Solving 2-D Helmholtz equation in the rectangular, circular, and elliptical domains using neural networks
Solving 2-D Helmholtz equation in the rectangular, circular, and elliptical domains using neural networks
D. Veerababu
Prasanta K. Ghosh
68
0
0
26 Mar 2025
High Probability Complexity Bounds of Trust-Region Stochastic Sequential Quadratic Programming with Heavy-Tailed Noise
High Probability Complexity Bounds of Trust-Region Stochastic Sequential Quadratic Programming with Heavy-Tailed Noise
Yuchen Fang
Javad Lavaei
Katya Scheinberg
29
0
0
24 Mar 2025
Learning and discovering multiple solutions using physics-informed neural networks with random initialization and deep ensemble
Zongren Zou
Zhicheng Wang
George Karniadakis
PINN
AI4CE
65
2
0
08 Mar 2025
Artificial Intelligence in Reactor Physics: Current Status and Future Prospects
Artificial Intelligence in Reactor Physics: Current Status and Future Prospects
Ruizhi Zhang
Shengfeng Zhu
K. Wang
Ding She
J. Argaud
B. Bouriquet
Qing Li
Helin Gong
AI4CE
39
0
0
04 Mar 2025
GrainPaint: A multi-scale diffusion-based generative model for microstructure reconstruction of large-scale objects
Nathan Hoffman
Cashen Diniz
Dehao Liu
T. Rodgers
Anh Tran
Mark Fuge
AI4CE
DiffM
46
0
0
18 Feb 2025
ANaGRAM: A Natural Gradient Relative to Adapted Model for efficient PINNs learning
ANaGRAM: A Natural Gradient Relative to Adapted Model for efficient PINNs learning
Nilo Schwencke
Cyril Furtlehner
64
1
0
14 Dec 2024
Multi-Parameter Molecular MRI Quantification using Physics-Informed Self-Supervised Learning
Multi-Parameter Molecular MRI Quantification using Physics-Informed Self-Supervised Learning
Alex Finkelstein
Nikita Vladimirov
Moritz Zaiss
O. Perlman
31
1
0
10 Nov 2024
TRADE: Transfer of Distributions between External Conditions with Normalizing Flows
TRADE: Transfer of Distributions between External Conditions with Normalizing Flows
Stefan Wahl
Armand Rousselot
Felix Dräxler
Ullrich Kothe
Ullrich Köthe
24
0
0
25 Oct 2024
Enhanced physics-informed neural networks (PINNs) for high-order power
  grid dynamics
Enhanced physics-informed neural networks (PINNs) for high-order power grid dynamics
Vineet Jagadeesan Nair
PINN
35
0
0
10 Oct 2024
Metamizer: a versatile neural optimizer for fast and accurate physics simulations
Metamizer: a versatile neural optimizer for fast and accurate physics simulations
Nils Wandel
Stefan Schulz
Reinhard Klein
PINN
AI4CE
39
0
0
10 Oct 2024
Implicit Neural Representations for Speed-of-Sound Estimation in
  Ultrasound
Implicit Neural Representations for Speed-of-Sound Estimation in Ultrasound
Michal Byra
Piotr Jarosik
P. Karwat
Z. Klimonda
M. Lewandowski
23
1
0
21 Sep 2024
Physics-informed kernel learning
Physics-informed kernel learning
Nathan Doumèche
Francis Bach
Gérard Biau
Claire Boyer
PINN
29
2
0
20 Sep 2024
Generating Physical Dynamics under Priors
Generating Physical Dynamics under Priors
Zihan Zhou
Xiaoxue Wang
Tianshu Yu
DiffM
AI4CE
50
0
0
01 Sep 2024
Practical Aspects on Solving Differential Equations Using Deep Learning: A Primer
Practical Aspects on Solving Differential Equations Using Deep Learning: A Primer
Georgios Is. Detorakis
16
0
0
21 Aug 2024
A Two-Stage Imaging Framework Combining CNN and Physics-Informed Neural Networks for Full-Inverse Tomography: A Case Study in Electrical Impedance Tomography (EIT)
A Two-Stage Imaging Framework Combining CNN and Physics-Informed Neural Networks for Full-Inverse Tomography: A Case Study in Electrical Impedance Tomography (EIT)
Xu Yang
Yangming Zhang
Haofeng Chen
Gang Ma
Xiaojie Wang
19
0
0
25 Jul 2024
An Advanced Physics-Informed Neural Operator for Comprehensive Design
  Optimization of Highly-Nonlinear Systems: An Aerospace Composites Processing
  Case Study
An Advanced Physics-Informed Neural Operator for Comprehensive Design Optimization of Highly-Nonlinear Systems: An Aerospace Composites Processing Case Study
Milad Ramezankhani
A. Deodhar
Rishi Parekh
Dagnachew Birru
AI4CE
38
3
0
20 Jun 2024
Solving Poisson Equations using Neural Walk-on-Spheres
Solving Poisson Equations using Neural Walk-on-Spheres
Hong Chul Nam
Julius Berner
Anima Anandkumar
20
3
0
05 Jun 2024
A finite element-based physics-informed operator learning framework for
  spatiotemporal partial differential equations on arbitrary domains
A finite element-based physics-informed operator learning framework for spatiotemporal partial differential equations on arbitrary domains
Yusuke Yamazaki
Ali Harandi
Mayu Muramatsu
A. Viardin
Markus Apel
T. Brepols
Stefanie Reese
Shahed Rezaei
AI4CE
26
12
0
21 May 2024
Nearest Neighbors GParareal: Improving Scalability of Gaussian Processes
  for Parallel-in-Time Solvers
Nearest Neighbors GParareal: Improving Scalability of Gaussian Processes for Parallel-in-Time Solvers
Guglielmo Gattiglio
Lyudmila Grigoryeva
M. Tamborrino
27
1
0
20 May 2024
Gradient Flow Based Phase-Field Modeling Using Separable Neural Networks
Gradient Flow Based Phase-Field Modeling Using Separable Neural Networks
R. Mattey
Susanta Ghosh
AI4CE
38
1
0
09 May 2024
Discretization Error of Fourier Neural Operators
Discretization Error of Fourier Neural Operators
S. Lanthaler
Andrew M. Stuart
Margaret Trautner
33
4
0
03 May 2024
Suppressing Modulation Instability with Reinforcement Learning
Suppressing Modulation Instability with Reinforcement Learning
Nikolay Kalmykov
R. Zagidullin
Oleg Y. Rogov
Sergey Rykovanov
Dmitry V. Dylov
14
0
0
05 Apr 2024
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE
  Pre-Training
DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training
Zhongkai Hao
Chang Su
Songming Liu
Julius Berner
Chengyang Ying
Hang Su
A. Anandkumar
Jian Song
Jun Zhu
AI4TS
AI4CE
22
21
0
06 Mar 2024
Approximation of Solution Operators for High-dimensional PDEs
Approximation of Solution Operators for High-dimensional PDEs
Nathan Gaby
Xiaojing Ye
12
0
0
18 Jan 2024
Physics-Informed Multi-Agent Reinforcement Learning for Distributed Multi-Robot Problems
Physics-Informed Multi-Agent Reinforcement Learning for Distributed Multi-Robot Problems
Eduardo Sebastián
T. Duong
Nikolay A. Atanasov
Eduardo Montijano
C. Sagüés
18
2
0
30 Dec 2023
SISMIK for brain MRI: Deep-learning-based motion estimation and
  model-based motion correction in k-space
SISMIK for brain MRI: Deep-learning-based motion estimation and model-based motion correction in k-space
Oscar Dabrowski
J. Falcone
A. Klauser
J. Songeon
Michel Kocher
B. Chopard
François Lazeyras
S. Courvoisier
MedIm
8
1
0
20 Dec 2023
Time integration schemes based on neural networks for solving partial
  differential equations on coarse grids
Time integration schemes based on neural networks for solving partial differential equations on coarse grids
Xinxin Yan
Zhideng Zhou
Xiaohan Cheng
Xiaolei Yang
AI4TS
AI4CE
13
0
0
16 Oct 2023
Exciton-Polariton Condensates: A Fourier Neural Operator Approach
Exciton-Polariton Condensates: A Fourier Neural Operator Approach
S. T. Sathujoda
Yuan Wang
Kanishk Gandhi
11
0
0
27 Sep 2023
Neural Stochastic Screened Poisson Reconstruction
Neural Stochastic Screened Poisson Reconstruction
Silvia Sellán
Alec Jacobson
3DV
25
5
0
21 Sep 2023
GaborPINN: Efficient physics informed neural networks using
  multiplicative filtered networks
GaborPINN: Efficient physics informed neural networks using multiplicative filtered networks
Xinquan Huang
T. Alkhalifah
23
12
0
10 Aug 2023
Branched Latent Neural Maps
Branched Latent Neural Maps
M. Salvador
Alison Lesley Marsden
30
4
0
04 Aug 2023
Physics-informed neural networks for blood flow inverse problems
Physics-informed neural networks for blood flow inverse problems
Jeremías Garay
J. Dunstan
S. Uribe
F. Sahli Costabal
PINN
16
3
0
02 Aug 2023
Rapid Flood Inundation Forecast Using Fourier Neural Operator
Rapid Flood Inundation Forecast Using Fourier Neural Operator
Alexander Y. Sun
Zhi Li
Won-Bo Lee
Qixing Huang
B. Scanlon
Clint Dawson
AI4CE
17
11
0
29 Jul 2023
Physics-Informed Machine Learning of Argon Gas-Driven Melt Pool Dynamics
Physics-Informed Machine Learning of Argon Gas-Driven Melt Pool Dynamics
Rahul Sharma
Y.B. Guo
M. Raissi
W. Guo
PINN
AI4CE
37
5
0
23 Jul 2023
Temporal Difference Learning for High-Dimensional PIDEs with Jumps
Temporal Difference Learning for High-Dimensional PIDEs with Jumps
Liwei Lu
Hailong Guo
Xueqing Yang
Yi Zhu
AI4CE
8
6
0
06 Jul 2023
Physics-Informed Computer Vision: A Review and Perspectives
Physics-Informed Computer Vision: A Review and Perspectives
C. Banerjee
Kien Nguyen
Clinton Fookes
G. Karniadakis
PINN
AI4CE
30
27
0
29 May 2023
Inductive biases in deep learning models for weather prediction
Inductive biases in deep learning models for weather prediction
Jannik Thümmel
Matthias Karlbauer
S. Otte
C. Zarfl
Georg Martius
...
Thomas Scholten
Ulrich Friedrich
V. Wulfmeyer
B. Goswami
Martin Volker Butz
AI4CE
31
4
0
06 Apr 2023
Physics-Informed Neural Networks for Time-Domain Simulations: Accuracy,
  Computational Cost, and Flexibility
Physics-Informed Neural Networks for Time-Domain Simulations: Accuracy, Computational Cost, and Flexibility
Jochen Stiasny
Spyros Chatzivasileiadis
PINN
AI4CE
13
9
0
15 Mar 2023
Improving physics-informed neural networks with meta-learned
  optimization
Improving physics-informed neural networks with meta-learned optimization
Alexander Bihlo
PINN
26
18
0
13 Mar 2023
Error convergence and engineering-guided hyperparameter search of PINNs:
  towards optimized I-FENN performance
Error convergence and engineering-guided hyperparameter search of PINNs: towards optimized I-FENN performance
Panos Pantidis
Habiba Eldababy
Christopher Miguel Tagle
M. Mobasher
16
20
0
03 Mar 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
24
28
0
03 Mar 2023
Physics-Informed Neural Networks for Prognostics and Health Management
  of Lithium-Ion Batteries
Physics-Informed Neural Networks for Prognostics and Health Management of Lithium-Ion Batteries
Pengfei Wen
Z. Ye
Yong Li
Shaowei Chen
Pu Xie
Shuai Zhao
14
35
0
02 Jan 2023
Physics-informed Neural Networks with Periodic Activation Functions for
  Solute Transport in Heterogeneous Porous Media
Physics-informed Neural Networks with Periodic Activation Functions for Solute Transport in Heterogeneous Porous Media
Salah A. Faroughi
Ramin Soltanmohammad
Pingki Datta
S. K. Mahjour
S. Faroughi
6
22
0
17 Dec 2022
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