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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
Physics-Regularized Multi-Modal Image Assimilation for Brain Tumor
  Localization
Physics-Regularized Multi-Modal Image Assimilation for Brain Tumor Localization
Michal Balcerak
Tamaz Amiranashvili
Andreas Wagner
Jonas Weidner
Petr Karnakov
Johannes C. Paetzold
Ivan Ezhov
Petros Koumoutsakos
Benedikt Wiestler
Bjoern H. Menze
AI4CE
22
2
0
30 Sep 2024
Beyond Derivative Pathology of PINNs: Variable Splitting Strategy with
  Convergence Analysis
Beyond Derivative Pathology of PINNs: Variable Splitting Strategy with Convergence Analysis
Yesom Park
Changhoon Song
Myungjoo Kang
28
2
0
30 Sep 2024
SetPINNs: Set-based Physics-informed Neural Networks
SetPINNs: Set-based Physics-informed Neural Networks
M. Nagda
Phil Ostheimer
Thomas Specht
Frank Rhein
F. Jirasek
Stephan Mandt
Marius Kloft
Sophie Fellenz
3DPC
PINN
46
0
0
30 Sep 2024
Dual Cone Gradient Descent for Training Physics-Informed Neural Networks
Dual Cone Gradient Descent for Training Physics-Informed Neural Networks
Youngsik Hwang
Dong-Young Lim
AI4CE
30
2
0
27 Sep 2024
Scientific Machine Learning Seismology
Scientific Machine Learning Seismology
Tomohisa Okazaki
PINN
AI4CE
48
0
0
27 Sep 2024
Physics-aligned Schrödinger bridge
Physics-aligned Schrödinger bridge
Zeyu Li
Hongkun Dou
Shen Fang
Wang Han
Yue Deng
Lijun Yang
AI4CE
DiffM
30
0
0
26 Sep 2024
Robust Neural IDA-PBC: passivity-based stabilization under
  approximations
Robust Neural IDA-PBC: passivity-based stabilization under approximations
Santiago Sanchez-Escalonilla
Samuele Zoboli
B. Jayawardhana
23
1
0
24 Sep 2024
Physics-informed kernel learning
Physics-informed kernel learning
Nathan Doumèche
Francis Bach
Gérard Biau
Claire Boyer
PINN
37
2
0
20 Sep 2024
Physics-Informed Variational State-Space Gaussian Processes
Physics-Informed Variational State-Space Gaussian Processes
Oliver Hamelijnck
Arno Solin
Theodoros Damoulas
31
0
0
20 Sep 2024
FB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of
  Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition
FB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition
Milad Ramezankhani
Rishi Parekh
A. Deodhar
Dagnachew Birru
AI4CE
34
0
0
13 Sep 2024
Gait Switching and Enhanced Stabilization of Walking Robots with Deep
  Learning-based Reachability: A Case Study on Two-link Walker
Gait Switching and Enhanced Stabilization of Walking Robots with Deep Learning-based Reachability: A Case Study on Two-link Walker
Xingpeng Xia
Jason J. Choi
Ayush Agrawal
K. Sreenath
Claire J. Tomlin
Somil Bansal
21
0
0
10 Sep 2024
Component Fourier Neural Operator for Singularly Perturbed Differential
  Equations
Component Fourier Neural Operator for Singularly Perturbed Differential Equations
Ye Li
Ting Du
Yiwen Pang
Zhongyi Huang
21
1
0
07 Sep 2024
General-Kindred Physics-Informed Neural Network to the Solutions of
  Singularly Perturbed Differential Equations
General-Kindred Physics-Informed Neural Network to the Solutions of Singularly Perturbed Differential Equations
Sen Wang
Peizhi Zhao
Qinglong Ma
Tao Song
PINN
23
3
0
27 Aug 2024
HyperSBINN: A Hypernetwork-Enhanced Systems Biology-Informed Neural
  Network for Efficient Drug Cardiosafety Assessment
HyperSBINN: A Hypernetwork-Enhanced Systems Biology-Informed Neural Network for Efficient Drug Cardiosafety Assessment
Inass Soukarieh
Gerhard Hessler
Hervé Minoux
Marcel Mohr
Friedemann Schmidt
Jan Wenzel
Pierre Barbillon
Hugo Gangloff
Pierre Gloaguen
34
0
0
26 Aug 2024
Functional Tensor Decompositions for Physics-Informed Neural Networks
Functional Tensor Decompositions for Physics-Informed Neural Networks
Sai Karthikeya Vemuri
Tim Buchner
Julia Niebling
Joachim Denzler
PINN
40
4
0
23 Aug 2024
Parameterized Physics-informed Neural Networks for Parameterized PDEs
Parameterized Physics-informed Neural Networks for Parameterized PDEs
Woojin Cho
Minju Jo
Haksoo Lim
Kookjin Lee
Dongeun Lee
Sanghyun Hong
Noseong Park
PINN
AI4CE
40
16
1
18 Aug 2024
Why Rectified Power Unit Networks Fail and How to Improve It: An
  Effective Theory Perspective
Why Rectified Power Unit Networks Fail and How to Improve It: An Effective Theory Perspective
Taeyoung Kim
Myungjoo Kang
30
0
0
04 Aug 2024
NeuroSEM: A hybrid framework for simulating multiphysics problems by
  coupling PINNs and spectral elements
NeuroSEM: A hybrid framework for simulating multiphysics problems by coupling PINNs and spectral elements
K. Shukla
Zongren Zou
Chi Hin Chan
Additi Pandey
Zhicheng Wang
George Karniadakis
PINN
52
7
0
30 Jul 2024
Improving PINNs By Algebraic Inclusion of Boundary and Initial
  Conditions
Improving PINNs By Algebraic Inclusion of Boundary and Initial Conditions
Mohan Ren
Zhihao Fang
Keren Li
Anirbit Mukherjee
PINN
AI4CE
53
0
0
30 Jul 2024
Weak neural variational inference for solving Bayesian inverse problems
  without forward models: applications in elastography
Weak neural variational inference for solving Bayesian inverse problems without forward models: applications in elastography
Vincent C. Scholz
Yaohua Zang
P. Koutsourelakis
41
3
0
30 Jul 2024
A Tutorial on the Use of Physics-Informed Neural Networks to Compute the
  Spectrum of Quantum Systems
A Tutorial on the Use of Physics-Informed Neural Networks to Compute the Spectrum of Quantum Systems
Lorenzo Brevi
Antonio Mandarino
Enrico Prati
16
3
0
30 Jul 2024
Learning Physics for Unveiling Hidden Earthquake Ground Motions via
  Conditional Generative Modeling
Learning Physics for Unveiling Hidden Earthquake Ground Motions via Conditional Generative Modeling
Pu Ren
R. Nakata
Maxime Lacour
Ilan Naiman
Nori Nakata
...
Osman Asif Malik
Dmitriy Morozov
Omri Azencot
N. Benjamin Erichson
Michael W. Mahoney
AI4CE
32
8
0
21 Jul 2024
Comparing and Contrasting Deep Learning Weather Prediction Backbones on
  Navier-Stokes and Atmospheric Dynamics
Comparing and Contrasting Deep Learning Weather Prediction Backbones on Navier-Stokes and Atmospheric Dynamics
Matthias Karlbauer
Danielle C. Maddix
Abdul Fatir Ansari
Boran Han
Gaurav Gupta
Yuyang Wang
Andrew Stuart
Michael W. Mahoney
AI4TS
56
1
0
19 Jul 2024
Base Models for Parabolic Partial Differential Equations
Base Models for Parabolic Partial Differential Equations
Xingzi Xu
Ali Hasan
Jie Ding
Vahid Tarokh
45
1
0
17 Jul 2024
Differentiable Neural-Integrated Meshfree Method for Forward and Inverse
  Modeling of Finite Strain Hyperelasticity
Differentiable Neural-Integrated Meshfree Method for Forward and Inverse Modeling of Finite Strain Hyperelasticity
Honghui Du
Binyao Guo
QiZhi He
AI4CE
38
0
0
15 Jul 2024
Dynamical Measure Transport and Neural PDE Solvers for Sampling
Dynamical Measure Transport and Neural PDE Solvers for Sampling
Jingtong Sun
Julius Berner
Lorenz Richter
Marius Zeinhofer
Johannes Müller
Kamyar Azizzadenesheli
Anima Anandkumar
OT
DiffM
39
8
0
10 Jul 2024
Weak baselines and reporting biases lead to overoptimism in machine
  learning for fluid-related partial differential equations
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations
N. McGreivy
Ammar Hakim
AI4CE
34
43
0
09 Jul 2024
Parsimonious Universal Function Approximator for Elastic and
  Elasto-Plastic Cavity Expansion Problems
Parsimonious Universal Function Approximator for Elastic and Elasto-Plastic Cavity Expansion Problems
Xiao-Xuan Chen
Pin Zhang
Hai-Sui Yu
Zhen-Yu Yin
Brian Sheil
21
0
0
08 Jul 2024
A Fast Learning-Based Surrogate of Electrical Machines using a Reduced
  Basis
A Fast Learning-Based Surrogate of Electrical Machines using a Reduced Basis
Alejandro Ribés
Nawfal Benchekroun
Théo Delagnes
AI4CE
46
1
0
27 Jun 2024
Learning the boundary-to-domain mapping using Lifting Product Fourier
  Neural Operators for partial differential equations
Learning the boundary-to-domain mapping using Lifting Product Fourier Neural Operators for partial differential equations
Aditya Kashi
Arka Daw
Muralikrishnan Gopalakrishnan Meena
Hao Lu
AI4CE
34
2
0
24 Jun 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
47
3
0
20 Jun 2024
Error Analysis and Numerical Algorithm for PDE Approximation with
  Hidden-Layer Concatenated Physics Informed Neural Networks
Error Analysis and Numerical Algorithm for PDE Approximation with Hidden-Layer Concatenated Physics Informed Neural Networks
Yianxia Qian
Yongchao Zhang
Suchuan Dong
PINN
37
0
0
10 Jun 2024
A Low Rank Neural Representation of Entropy Solutions
A Low Rank Neural Representation of Entropy Solutions
Donsub Rim
Gerrit Welper
29
1
0
09 Jun 2024
Adapting Physics-Informed Neural Networks to Improve ODE Optimization in Mosquito Population Dynamics
Adapting Physics-Informed Neural Networks to Improve ODE Optimization in Mosquito Population Dynamics
D. V. Cuong
Branislava Lalić
Mina Petrić
Binh Nguyen
M. Roantree
PINN
AI4CE
47
2
0
07 Jun 2024
Vectorized Conditional Neural Fields: A Framework for Solving
  Time-dependent Parametric Partial Differential Equations
Vectorized Conditional Neural Fields: A Framework for Solving Time-dependent Parametric Partial Differential Equations
Jan Hagnberger
Marimuthu Kalimuthu
Daniel Musekamp
Mathias Niepert
AI4TS
AI4CE
47
5
0
06 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
34
3
0
05 Jun 2024
EngineBench: Flow Reconstruction in the Transparent Combustion Chamber
  III Optical Engine
EngineBench: Flow Reconstruction in the Transparent Combustion Chamber III Optical Engine
Samuel J. Baker
Michael A. Hobley
Isabel Scherl
Xiaohang Fang
Felix C. P. Leach
M. Davy
AI4CE
33
0
0
05 Jun 2024
A comprehensive and FAIR comparison between MLP and KAN representations
  for differential equations and operator networks
A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks
K. Shukla
Juan Diego Toscano
Zhicheng Wang
Zongren Zou
George Karniadakis
45
74
0
05 Jun 2024
Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation
Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation
Madison Cooley
Shandian Zhe
Robert M. Kirby
Varun Shankar
59
1
0
04 Jun 2024
Weak Generative Sampler to Efficiently Sample Invariant Distribution of
  Stochastic Differential Equation
Weak Generative Sampler to Efficiently Sample Invariant Distribution of Stochastic Differential Equation
Zhiqiang Cai
Yu Cao
Yuanfei Huang
Xiang Zhou
DiffM
58
0
0
29 May 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs
  with applications in heterogeneous media
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media
Matthaios Chatzopoulos
P. Koutsourelakis
AI4CE
39
3
0
29 May 2024
BeamVQ: Aligning Space-Time Forecasting Model via Self-training on
  Physics-aware Metrics
BeamVQ: Aligning Space-Time Forecasting Model via Self-training on Physics-aware Metrics
Hao Wu
Xingjian Shi
Ziyue Huang
Penghao Zhao
Wei Xiong
Jinbao Xue
Yangyu Tao
Xiaomeng Huang
Weiyan Wang
AI4TS
58
1
0
27 May 2024
Physics informed cell representations for variational formulation of
  multiscale problems
Physics informed cell representations for variational formulation of multiscale problems
Yuxiang Gao
Soheil Kolouri
R. Duddu
AI4CE
32
0
0
27 May 2024
Kronecker-Factored Approximate Curvature for Physics-Informed Neural
  Networks
Kronecker-Factored Approximate Curvature for Physics-Informed Neural Networks
Felix Dangel
Johannes Müller
Marius Zeinhofer
ODL
31
6
0
24 May 2024
RoPINN: Region Optimized Physics-Informed Neural Networks
RoPINN: Region Optimized Physics-Informed Neural Networks
Haixu Wu
Huakun Luo
Yuezhou Ma
Jianmin Wang
Mingsheng Long
AI4CE
34
7
0
23 May 2024
Neural Networks-based Random Vortex Methods for Modelling Incompressible
  Flows
Neural Networks-based Random Vortex Methods for Modelling Incompressible Flows
Vladislav Cherepanov
Sebastian W. Ertel
18
0
0
22 May 2024
Differential Walk on Spheres
Differential Walk on Spheres
Bailey Miller
Rohan Sawhney
Keenan Crane
Ioannis Gkioulekas
56
2
0
21 May 2024
Higher-order Spatio-temporal Physics-incorporated Graph Neural Network
  for Multivariate Time Series Imputation
Higher-order Spatio-temporal Physics-incorporated Graph Neural Network for Multivariate Time Series Imputation
Guojun Liang
Prayag Tiwari
Slawomir Nowaczyk
Stefan Byttner
AI4TS
AI4CE
58
3
0
16 May 2024
PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced
  order models for nonlinear parametrized PDEs
PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs
Simone Brivio
S. Fresca
Andrea Manzoni
AI4CE
38
6
0
14 May 2024
Unveiling the optimization process of Physics Informed Neural Networks:
  How accurate and competitive can PINNs be?
Unveiling the optimization process of Physics Informed Neural Networks: How accurate and competitive can PINNs be?
Jorge F. Urbán
P. Stefanou
José A. Pons
PINN
45
6
0
07 May 2024
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