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Characterizing possible failure modes in physics-informed neural
  networks

Characterizing possible failure modes in physics-informed neural networks

2 September 2021
Aditi S. Krishnapriyan
A. Gholami
Shandian Zhe
Robert M. Kirby
Michael W. Mahoney
    PINN
    AI4CE
ArXivPDFHTML

Papers citing "Characterizing possible failure modes in physics-informed neural networks"

50 / 324 papers shown
Title
Interpretable Neural PDE Solvers using Symbolic Frameworks
Interpretable Neural PDE Solvers using Symbolic Frameworks
Yolanne Yi Ran Lee
AI4CE
32
0
0
31 Oct 2023
$p$-Poisson surface reconstruction in curl-free flow from point clouds
ppp-Poisson surface reconstruction in curl-free flow from point clouds
Yesom Park
Taekyung Lee
Jooyoung Hahn
Myungjoo Kang
19
5
0
31 Oct 2023
TSONN: Time-stepping-oriented neural network for solving partial
  differential equations
TSONN: Time-stepping-oriented neural network for solving partial differential equations
W. Cao
Weiwei Zhang
AI4TS
18
1
0
25 Oct 2023
Hypernetwork-based Meta-Learning for Low-Rank Physics-Informed Neural
  Networks
Hypernetwork-based Meta-Learning for Low-Rank Physics-Informed Neural Networks
Woojin Cho
Kookjin Lee
Donsub Rim
Noseong Park
AI4CE
PINN
37
16
0
14 Oct 2023
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
Learning to Predict Structural Vibrations
Learning to Predict Structural Vibrations
J. V. Delden
Julius Schultz
Christopher Blech
Sabine C. Langer
Timo Luddecke
AI4CE
26
1
0
09 Oct 2023
Equation Discovery with Bayesian Spike-and-Slab Priors and Efficient
  Kernels
Equation Discovery with Bayesian Spike-and-Slab Priors and Efficient Kernels
Da Long
Wei W. Xing
Aditi S. Krishnapriyan
R. Kirby
Shandian Zhe
Michael W. Mahoney
18
0
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
High Throughput Training of Deep Surrogates from Large Ensemble Runs
High Throughput Training of Deep Surrogates from Large Ensemble Runs
Lucas Meyer
M. Schouler
R. Caulk
Alejandro Ribés
Bruno Raffin
AI4CE
22
5
0
28 Sep 2023
Neural Operators for Accelerating Scientific Simulations and Design
Neural Operators for Accelerating Scientific Simulations and Design
Kamyar Azzizadenesheli
Nikola B. Kovachki
Zong-Yi Li
Miguel Liu-Schiaffini
Jean Kossaifi
Anima Anandkumar
AI4CE
41
122
0
27 Sep 2023
A Physics Enhanced Residual Learning (PERL) Framework for Vehicle
  Trajectory Prediction
A Physics Enhanced Residual Learning (PERL) Framework for Vehicle Trajectory Prediction
Keke Long
Zihao Sheng
Haotian Shi
Xiaopeng Li
Sikai Chen
Sue Ahn
26
5
0
26 Sep 2023
Neuro-Visualizer: An Auto-encoder-based Loss Landscape Visualization
  Method
Neuro-Visualizer: An Auto-encoder-based Loss Landscape Visualization Method
Mohannad Elhamod
Anuj Karpatne
24
1
0
26 Sep 2023
ODE-based Recurrent Model-free Reinforcement Learning for POMDPs
ODE-based Recurrent Model-free Reinforcement Learning for POMDPs
Xu Zhao
Duzhen Zhang
Liyuan Han
Tielin Zhang
Bo Xu
37
7
0
25 Sep 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
An Extreme Learning Machine-Based Method for Computational PDEs in
  Higher Dimensions
An Extreme Learning Machine-Based Method for Computational PDEs in Higher Dimensions
Yiran Wang
Suchuan Dong
31
35
0
13 Sep 2023
Lie-Poisson Neural Networks (LPNets): Data-Based Computing of
  Hamiltonian Systems with Symmetries
Lie-Poisson Neural Networks (LPNets): Data-Based Computing of Hamiltonian Systems with Symmetries
Christopher Eldred
François Gay-Balmaz
Sofiia Huraka
V. Putkaradze
25
8
0
29 Aug 2023
Breaking Boundaries: Distributed Domain Decomposition with Scalable
  Physics-Informed Neural PDE Solvers
Breaking Boundaries: Distributed Domain Decomposition with Scalable Physics-Informed Neural PDE Solvers
Arthur Feeney
Zitong Li
Ramin Bostanabad
Aparna Chandramowlishwaran
AI4CE
16
1
0
28 Aug 2023
Learning Only On Boundaries: a Physics-Informed Neural operator for
  Solving Parametric Partial Differential Equations in Complex Geometries
Learning Only On Boundaries: a Physics-Informed Neural operator for Solving Parametric Partial Differential Equations in Complex Geometries
Z. Fang
Sizhuang He
P. Perdikaris
AI4CE
17
11
0
24 Aug 2023
Solving Elliptic Optimal Control Problems via Neural Networks and
  Optimality System
Solving Elliptic Optimal Control Problems via Neural Networks and Optimality System
Yongcheng Dai
Bangti Jin
R. Sau
Zhi Zhou
40
4
0
23 Aug 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
Going Deeper with Five-point Stencil Convolutions for Reaction-Diffusion
  Equations
Going Deeper with Five-point Stencil Convolutions for Reaction-Diffusion Equations
Yongho Kim
Yongho Choi
33
1
0
09 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
A Critical Review of Physics-Informed Machine Learning Applications in
  Subsurface Energy Systems
A Critical Review of Physics-Informed Machine Learning Applications in Subsurface Energy Systems
Abdeldjalil Latrach
M. L. Malki
Misael Morales
Mohamed Mehana
M. Rabiei
PINN
AI4CE
25
29
0
06 Aug 2023
Towards Long-Term predictions of Turbulence using Neural Operators
Towards Long-Term predictions of Turbulence using Neural Operators
Fernando González
Franccois-Xavier Demoulin
Simon Bernard
AI4CE
22
0
0
25 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
15
24
0
21 Jul 2023
Multi-stage Neural Networks: Function Approximator of Machine Precision
Multi-stage Neural Networks: Function Approximator of Machine Precision
Yongjian Wang
Ching-Yao Lai
48
36
0
18 Jul 2023
Spectral-Bias and Kernel-Task Alignment in Physically Informed Neural
  Networks
Spectral-Bias and Kernel-Task Alignment in Physically Informed Neural Networks
Inbar Seroussi
Asaf Miron
Z. Ringel
PINN
40
0
0
12 Jul 2023
Comparison of Neural FEM and Neural Operator Methods for applications in
  Solid Mechanics
Comparison of Neural FEM and Neural Operator Methods for applications in Solid Mechanics
Stefan Hildebrand
Sandra Klinge
AI4CE
17
2
0
04 Jul 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
Hyena Neural Operator for Partial Differential Equations
Hyena Neural Operator for Partial Differential Equations
Saurabh Patil
Zijie Li
Amir Barati Farimani
AI4CE
27
4
0
28 Jun 2023
Training Deep Surrogate Models with Large Scale Online Learning
Training Deep Surrogate Models with Large Scale Online Learning
Lucas Meyer
M. Schouler
R. Caulk
Alejandro Ribés
Bruno Raffin
3DGS
AI4CE
22
4
0
28 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
SuperBench: A Super-Resolution Benchmark Dataset for Scientific Machine Learning
SuperBench: A Super-Resolution Benchmark Dataset for Scientific Machine Learning
Pu Ren
N. Benjamin Erichson
Shashank Subramanian
Omer San
Z. Lukić
Michael W. Mahoney
Michael W. Mahoney
44
13
0
24 Jun 2023
Physics-informed neural networks modeling for systems with moving
  immersed boundaries: application to an unsteady flow past a plunging foil
Physics-informed neural networks modeling for systems with moving immersed boundaries: application to an unsteady flow past a plunging foil
Rahul Sundar
Dipanjan Majumdar
Didier Lucor
Sunetra Sarkar
PINN
AI4CE
25
6
0
23 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
An adaptive augmented Lagrangian method for training physics and
  equality constrained artificial neural networks
An adaptive augmented Lagrangian method for training physics and equality constrained artificial neural networks
S. Basir
Inanc Senocak
PINN
11
5
0
08 Jun 2023
Progressive Learning for Physics-informed Neural Motion Planning
Progressive Learning for Physics-informed Neural Motion Planning
Ruiqi Ni
A. H. Qureshi
13
11
0
01 Jun 2023
Towards Foundation Models for Scientific Machine Learning:
  Characterizing Scaling and Transfer Behavior
Towards Foundation Models for Scientific Machine Learning: Characterizing Scaling and Transfer Behavior
Shashank Subramanian
P. Harrington
Kurt Keutzer
W. Bhimji
Dmitriy Morozov
Michael W. Mahoney
A. Gholami
AI4CE
28
71
0
01 Jun 2023
Predictive Limitations of Physics-Informed Neural Networks in Vortex
  Shedding
Predictive Limitations of Physics-Informed Neural Networks in Vortex Shedding
Pi-Yueh Chuang
L. Barba
PINN
37
10
0
31 May 2023
Constrained Optimization via Exact Augmented Lagrangian and Randomized
  Iterative Sketching
Constrained Optimization via Exact Augmented Lagrangian and Randomized Iterative Sketching
Ilgee Hong
Sen Na
Michael W. Mahoney
Mladen Kolar
25
3
0
28 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
A Framework Based on Symbolic Regression Coupled with eXtended
  Physics-Informed Neural Networks for Gray-Box Learning of Equations of Motion
  from Data
A Framework Based on Symbolic Regression Coupled with eXtended Physics-Informed Neural Networks for Gray-Box Learning of Equations of Motion from Data
Elham Kiyani
K. Shukla
George Karniadakis
M. Karttunen
18
21
0
18 May 2023
Efficient Error Certification for Physics-Informed Neural Networks
Efficient Error Certification for Physics-Informed Neural Networks
Francisco Eiras
Adel Bibi
Rudy Bunel
Krishnamurthy Dvijotham
Philip H. S. Torr
M. P. Kumar
PINN
26
1
0
17 May 2023
Physics Informed Token Transformer for Solving Partial Differential
  Equations
Physics Informed Token Transformer for Solving Partial Differential Equations
Cooper Lorsung
Zijie Li
Amir Barati Farimani
AI4CE
40
16
0
15 May 2023
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