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Respecting causality is all you need for training physics-informed
  neural networks

Respecting causality is all you need for training physics-informed neural networks

14 March 2022
Sizhuang He
Shyam Sankaran
P. Perdikaris
    PINN
    CML
    AI4CE
ArXivPDFHTML

Papers citing "Respecting causality is all you need for training physics-informed neural networks"

50 / 122 papers shown
Title
An operator preconditioning perspective on training in physics-informed
  machine learning
An operator preconditioning perspective on training in physics-informed machine learning
Tim De Ryck
Florent Bonnet
Siddhartha Mishra
Emmanuel de Bezenac
AI4CE
41
14
0
09 Oct 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for
  Machine Learning and Process-based Hydrology
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology
Qingsong Xu
Yilei Shi
Jonathan Bamber
Ye Tuo
Ralf Ludwig
Xiao Xiang Zhu
AI4CE
20
10
0
08 Oct 2023
Investigating the Ability of PINNs To Solve Burgers' PDE Near
  Finite-Time BlowUp
Investigating the Ability of PINNs To Solve Burgers' PDE Near Finite-Time BlowUp
Dibyakanti Kumar
Anirbit Mukherjee
31
2
0
08 Oct 2023
Randomized Sparse Neural Galerkin Schemes for Solving Evolution
  Equations with Deep Networks
Randomized Sparse Neural Galerkin Schemes for Solving Evolution Equations with Deep Networks
Jules Berman
Benjamin Peherstorfer
26
13
0
07 Oct 2023
Spectral operator learning for parametric PDEs without data reliance
Spectral operator learning for parametric PDEs without data reliance
Junho Choi
Taehyun Yun
Namjung Kim
Youngjoon Hong
19
8
0
03 Oct 2023
Improving physics-informed DeepONets with hard constraints
Improving physics-informed DeepONets with hard constraints
Rudiger Brecht
D. Popovych
Alexander Bihlo
R. Popovych
AI4CE
18
8
0
14 Sep 2023
Physics-Informed Neural Networks for an optimal counterdiabatic quantum
  computation
Physics-Informed Neural Networks for an optimal counterdiabatic quantum computation
Antonio Ferrer-Sánchez
Carlos Flores-Garrigós
C. Hernani-Morales
José J. Orquín-Marqués
N. N. Hegade
Alejandro Gomez Cadavid
Iraitz Montalban
Enrique Solano
Yolanda Vives-Gilabert
J. D. Martín-Guerrero
32
2
0
08 Sep 2023
Neural oscillators for generalization of physics-informed machine
  learning
Neural oscillators for generalization of physics-informed machine learning
Taniya Kapoor
Abhishek Chandra
D. Tartakovsky
Hongrui Wang
Alfredo Núñez
R. Dollevoet
AI4CE
29
11
0
17 Aug 2023
An Expert's Guide to Training Physics-informed Neural Networks
An Expert's Guide to Training Physics-informed Neural Networks
Sizhuang He
Shyam Sankaran
Hanwen Wang
P. Perdikaris
PINN
28
97
0
16 Aug 2023
A Sequential Meta-Transfer (SMT) Learning to Combat Complexities of
  Physics-Informed Neural Networks: Application to Composites Autoclave
  Processing
A Sequential Meta-Transfer (SMT) Learning to Combat Complexities of Physics-Informed Neural Networks: Application to Composites Autoclave Processing
Milad Ramezankhani
A. Milani
PINN
24
4
0
12 Aug 2023
Learning Specialized Activation Functions for Physics-informed Neural
  Networks
Learning Specialized Activation Functions for Physics-informed Neural Networks
Honghui Wang
Lu Lu
Shiji Song
Gao Huang
PINN
AI4CE
16
11
0
08 Aug 2023
Residual-based attention and connection to information bottleneck theory
  in PINNs
Residual-based attention and connection to information bottleneck theory in PINNs
Sokratis J. Anagnostopoulos
Juan Diego Toscano
Nikos Stergiopulos
George Karniadakis
25
20
0
01 Jul 2023
Parameter Identification for Partial Differential Equations with
  Spatiotemporal Varying Coefficients
Parameter Identification for Partial Differential Equations with Spatiotemporal Varying Coefficients
Guangtao Zhang
Yiting Duan
Guanyu Pan
Qijing Chen
Huiyu Yang
Zhikun Zhang
17
0
0
30 Jun 2023
Separable Physics-Informed Neural Networks
Separable Physics-Informed Neural Networks
Junwoo Cho
Seungtae Nam
Hyunmo Yang
S. Yun
Youngjoon Hong
Eunbyung Park
PINN
AI4CE
17
43
0
28 Jun 2023
PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks
  for Solving PDEs
PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs
Zhongkai Hao
J. Yao
Chang Su
Hang Su
Ziao Wang
...
Zeyu Xia
Yichi Zhang
Songming Liu
Lu Lu
Jun Zhu
PINN
29
30
0
15 Jun 2023
Data driven localized wave solution of the Fokas-Lenells equation using
  modified PINN
Data driven localized wave solution of the Fokas-Lenells equation using modified PINN
G. K. Saharia
Sagardeep Talukdar
Riki Dutta
S. Nandy
13
1
0
03 Jun 2023
Scalable Transformer for PDE Surrogate Modeling
Scalable Transformer for PDE Surrogate Modeling
Zijie Li
Dule Shu
A. Farimani
35
67
0
27 May 2023
Learning from Integral Losses in Physics Informed Neural Networks
Learning from Integral Losses in Physics Informed Neural Networks
Ehsan Saleh
Saba Ghaffari
Timothy Bretl
Luke N. Olson
Matthew West
PINN
AI4CE
30
4
0
27 May 2023
Reconstruction, forecasting, and stability of chaotic dynamics from
  partial data
Reconstruction, forecasting, and stability of chaotic dynamics from partial data
Elise Özalp
G. Margazoglou
Luca Magri
AI4TS
18
10
0
24 May 2023
ParticleWNN: a Novel Neural Networks Framework for Solving Partial
  Differential Equations
ParticleWNN: a Novel Neural Networks Framework for Solving Partial Differential Equations
Yaohua Zang
Gang Bao
29
4
0
21 May 2023
LatentPINNs: Generative physics-informed neural networks via a latent
  representation learning
LatentPINNs: Generative physics-informed neural networks via a latent representation learning
M. H. Taufik
T. Alkhalifah
AI4CE
DiffM
49
4
0
11 May 2023
Neural Steerer: Novel Steering Vector Synthesis with a Causal Neural
  Field over Frequency and Source Positions
Neural Steerer: Novel Steering Vector Synthesis with a Causal Neural Field over Frequency and Source Positions
Diego Di Carlo
Aditya Arie Nugraha
Mathieu Fontaine
Yoshiaki Bando
Kazuyoshi Yoshii
LLMSV
24
0
0
08 May 2023
M-ENIAC: A machine learning recreation of the first successful numerical
  weather forecasts
M-ENIAC: A machine learning recreation of the first successful numerical weather forecasts
Rudiger Brecht
Alexander Bihlo
29
4
0
18 Apr 2023
Microseismic source imaging using physics-informed neural networks with
  hard constraints
Microseismic source imaging using physics-informed neural networks with hard constraints
Xinquan Huang
T. Alkhalifah
34
7
0
09 Apr 2023
About optimal loss function for training physics-informed neural
  networks under respecting causality
About optimal loss function for training physics-informed neural networks under respecting causality
V. A. Es'kin
Danil V. Davydov
Ekaterina D. Egorova
Alexey O. Malkhanov
Mikhail A. Akhukov
Mikhail E. Smorkalov
PINN
16
7
0
05 Apr 2023
GPT-PINN: Generative Pre-Trained Physics-Informed Neural Networks toward
  non-intrusive Meta-learning of parametric PDEs
GPT-PINN: Generative Pre-Trained Physics-Informed Neural Networks toward non-intrusive Meta-learning of parametric PDEs
Yanlai Chen
Shawn Koohy
PINN
AI4CE
37
24
0
27 Mar 2023
Improving physics-informed neural networks with meta-learned
  optimization
Improving physics-informed neural networks with meta-learned optimization
Alexander Bihlo
PINN
36
18
0
13 Mar 2023
MetaPhysiCa: OOD Robustness in Physics-informed Machine Learning
MetaPhysiCa: OOD Robustness in Physics-informed Machine Learning
S Chandra Mouli
M. A. Alam
Bruno Ribeiro
OOD
29
4
0
06 Mar 2023
A unified scalable framework for causal sweeping strategies for
  Physics-Informed Neural Networks (PINNs) and their temporal decompositions
A unified scalable framework for causal sweeping strategies for Physics-Informed Neural Networks (PINNs) and their temporal decompositions
Michael Penwarden
Ameya Dilip Jagtap
Shandian Zhe
George Karniadakis
Robert M. Kirby
PINN
AI4CE
23
57
0
28 Feb 2023
Achieving High Accuracy with PINNs via Energy Natural Gradients
Achieving High Accuracy with PINNs via Energy Natural Gradients
Johannes Müller
Marius Zeinhofer
13
4
0
25 Feb 2023
On the Generalization of PINNs outside the training domain and the
  Hyperparameters influencing it
On the Generalization of PINNs outside the training domain and the Hyperparameters influencing it
Andrea Bonfanti
Roberto Santana
M. Ellero
Babak Gholami
AI4CE
PINN
43
3
0
15 Feb 2023
Failure-informed adaptive sampling for PINNs, Part II: combining with
  re-sampling and subset simulation
Failure-informed adaptive sampling for PINNs, Part II: combining with re-sampling and subset simulation
Zhi-Hao Gao
Tao Tang
Liang Yan
Tao Zhou
37
18
0
03 Feb 2023
LSA-PINN: Linear Boundary Connectivity Loss for Solving PDEs on Complex
  Geometry
LSA-PINN: Linear Boundary Connectivity Loss for Solving PDEs on Complex Geometry
Jian Cheng Wong
P. Chiu
C. Ooi
M. Dao
Yew-Soon Ong
AI4CE
PINN
22
10
0
03 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
13
6
0
31 Jan 2023
Spatio-Temporal Super-Resolution of Dynamical Systems using
  Physics-Informed Deep-Learning
Spatio-Temporal Super-Resolution of Dynamical Systems using Physics-Informed Deep-Learning
Rajat Arora
Ankit Shrivastava
AI4CE
36
4
0
08 Dec 2022
Bayesian Physics Informed Neural Networks for Data Assimilation and
  Spatio-Temporal Modelling of Wildfires
Bayesian Physics Informed Neural Networks for Data Assimilation and Spatio-Temporal Modelling of Wildfires
J. Dabrowski
D. Pagendam
J. Hilton
Conrad Sanderson
Dan MacKinlay
C. Huston
Andrew Bolt
Petra Kuhnert
PINN
33
17
0
02 Dec 2022
VI-PINNs: Variance-involved Physics-informed Neural Networks for Fast
  and Accurate Prediction of Partial Differential Equations
VI-PINNs: Variance-involved Physics-informed Neural Networks for Fast and Accurate Prediction of Partial Differential Equations
Bin Shan
Ye Li
Sheng-Jun Huang
PINN
26
2
0
30 Nov 2022
Physics-informed Neural Networks with Unknown Measurement Noise
Physics-informed Neural Networks with Unknown Measurement Noise
Philipp Pilar
Niklas Wahlström
PINN
23
6
0
28 Nov 2022
Neural tangent kernel analysis of PINN for advection-diffusion equation
Neural tangent kernel analysis of PINN for advection-diffusion equation
M. Saadat
B. Gjorgiev
L. Das
G. Sansavini
33
0
0
21 Nov 2022
Convergence analysis of unsupervised Legendre-Galerkin neural networks
  for linear second-order elliptic PDEs
Convergence analysis of unsupervised Legendre-Galerkin neural networks for linear second-order elliptic PDEs
Seungchan Ko
S. Yun
Youngjoon Hong
17
5
0
16 Nov 2022
Separable PINN: Mitigating the Curse of Dimensionality in
  Physics-Informed Neural Networks
Separable PINN: Mitigating the Curse of Dimensionality in Physics-Informed Neural Networks
Junwoo Cho
Seungtae Nam
Hyunmo Yang
S. Yun
Youngjoon Hong
Eunbyung Park
PINN
AI4CE
23
8
0
16 Nov 2022
Physics-Informed Machine Learning: A Survey on Problems, Methods and
  Applications
Physics-Informed Machine Learning: A Survey on Problems, Methods and Applications
Zhongkai Hao
Songming Liu
Yichi Zhang
Chengyang Ying
Yao Feng
Hang Su
Jun Zhu
PINN
AI4CE
35
89
0
15 Nov 2022
Meta-PDE: Learning to Solve PDEs Quickly Without a Mesh
Meta-PDE: Learning to Solve PDEs Quickly Without a Mesh
Tian Qin
Alex Beatson
Deniz Oktay
N. McGreivy
Ryan P. Adams
AI4CE
19
10
0
03 Nov 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
A Novel Adaptive Causal Sampling Method for Physics-Informed Neural
  Networks
A Novel Adaptive Causal Sampling Method for Physics-Informed Neural Networks
Jia Guo
Haifeng Wang
Chenping Hou
11
7
0
24 Oct 2022
Robust Regression with Highly Corrupted Data via Physics Informed Neural
  Networks
Robust Regression with Highly Corrupted Data via Physics Informed Neural Networks
Wei Peng
Wenjuan Yao
Weien Zhou
Xiaoya Zhang
Weijie Yao
PINN
50
5
0
19 Oct 2022
Tunable Complexity Benchmarks for Evaluating Physics-Informed Neural
  Networks on Coupled Ordinary Differential Equations
Tunable Complexity Benchmarks for Evaluating Physics-Informed Neural Networks on Coupled Ordinary Differential Equations
Alexander New
B. Eng
A. Timm
A. Gearhart
20
4
0
14 Oct 2022
Random Weight Factorization Improves the Training of Continuous Neural
  Representations
Random Weight Factorization Improves the Training of Continuous Neural Representations
Sizhuang He
Hanwen Wang
Jacob H. Seidman
P. Perdikaris
26
10
0
03 Oct 2022
Failure-informed adaptive sampling for PINNs
Failure-informed adaptive sampling for PINNs
Zhiwei Gao
Liang Yan
Tao Zhou
18
77
0
01 Oct 2022
Residual-Quantile Adjustment for Adaptive Training of Physics-informed
  Neural Network
Residual-Quantile Adjustment for Adaptive Training of Physics-informed Neural Network
Jiayue Han
Zhiqiang Cai
Zhiyou Wu
Xiang Zhou
44
7
0
09 Sep 2022
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