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2109.01050
Cited By
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
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Papers citing
"Characterizing possible failure modes in physics-informed neural networks"
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Title
Interpretable Neural PDE Solvers using Symbolic Frameworks
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TSONN: Time-stepping-oriented neural network for solving partial differential equations
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Hypernetwork-based Meta-Learning for Low-Rank Physics-Informed Neural Networks
Woojin Cho
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14 Oct 2023
An operator preconditioning perspective on training in physics-informed machine learning
Tim De Ryck
Florent Bonnet
Siddhartha Mishra
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Learning to Predict Structural Vibrations
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Julius Schultz
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Timo Luddecke
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Equation Discovery with Bayesian Spike-and-Slab Priors and Efficient Kernels
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Wei W. Xing
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Shandian Zhe
Michael W. Mahoney
18
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09 Oct 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology
Qingsong Xu
Yilei Shi
Jonathan Bamber
Ye Tuo
Ralf Ludwig
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AI4CE
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08 Oct 2023
Investigating the Ability of PINNs To Solve Burgers' PDE Near Finite-Time BlowUp
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Anirbit Mukherjee
31
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08 Oct 2023
Randomized Sparse Neural Galerkin Schemes for Solving Evolution Equations with Deep Networks
Jules Berman
Benjamin Peherstorfer
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Spectral operator learning for parametric PDEs without data reliance
Junho Choi
Taehyun Yun
Namjung Kim
Youngjoon Hong
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03 Oct 2023
High Throughput Training of Deep Surrogates from Large Ensemble Runs
Lucas Meyer
M. Schouler
R. Caulk
Alejandro Ribés
Bruno Raffin
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28 Sep 2023
Neural Operators for Accelerating Scientific Simulations and Design
Kamyar Azzizadenesheli
Nikola B. Kovachki
Zong-Yi Li
Miguel Liu-Schiaffini
Jean Kossaifi
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41
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27 Sep 2023
A Physics Enhanced Residual Learning (PERL) Framework for Vehicle Trajectory Prediction
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Zihao Sheng
Haotian Shi
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Sikai Chen
Sue Ahn
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Neuro-Visualizer: An Auto-encoder-based Loss Landscape Visualization Method
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Anuj Karpatne
24
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ODE-based Recurrent Model-free Reinforcement Learning for POMDPs
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Duzhen Zhang
Liyuan Han
Tielin Zhang
Bo Xu
37
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25 Sep 2023
Improving physics-informed DeepONets with hard constraints
Rudiger Brecht
D. Popovych
Alexander Bihlo
R. Popovych
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An Extreme Learning Machine-Based Method for Computational PDEs in Higher Dimensions
Yiran Wang
Suchuan Dong
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Lie-Poisson Neural Networks (LPNets): Data-Based Computing of Hamiltonian Systems with Symmetries
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Sofiia Huraka
V. Putkaradze
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29 Aug 2023
Breaking Boundaries: Distributed Domain Decomposition with Scalable Physics-Informed Neural PDE Solvers
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Ramin Bostanabad
Aparna Chandramowlishwaran
AI4CE
16
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28 Aug 2023
Learning Only On Boundaries: a Physics-Informed Neural operator for Solving Parametric Partial Differential Equations in Complex Geometries
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Sizhuang He
P. Perdikaris
AI4CE
17
11
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Solving Elliptic Optimal Control Problems via Neural Networks and Optimality System
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Bangti Jin
R. Sau
Zhi Zhou
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Neural oscillators for generalization of physics-informed machine learning
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Abhishek Chandra
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29
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An Expert's Guide to Training Physics-informed Neural Networks
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Shyam Sankaran
Hanwen Wang
P. Perdikaris
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16 Aug 2023
A Sequential Meta-Transfer (SMT) Learning to Combat Complexities of Physics-Informed Neural Networks: Application to Composites Autoclave Processing
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A. Milani
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12 Aug 2023
Going Deeper with Five-point Stencil Convolutions for Reaction-Diffusion Equations
Yongho Kim
Yongho Choi
33
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09 Aug 2023
Learning Specialized Activation Functions for Physics-informed Neural Networks
Honghui Wang
Lu Lu
Shiji Song
Gao Huang
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AI4CE
16
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08 Aug 2023
A Critical Review of Physics-Informed Machine Learning Applications in Subsurface Energy Systems
Abdeldjalil Latrach
M. L. Malki
Misael Morales
Mohamed Mehana
M. Rabiei
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AI4CE
25
29
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06 Aug 2023
Towards Long-Term predictions of Turbulence using Neural Operators
Fernando González
Franccois-Xavier Demoulin
Simon Bernard
AI4CE
22
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25 Jul 2023
PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural Networks
Leo Zhao
Xueying Ding
B. Prakash
PINN
AI4CE
15
24
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21 Jul 2023
Multi-stage Neural Networks: Function Approximator of Machine Precision
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Ching-Yao Lai
48
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18 Jul 2023
Spectral-Bias and Kernel-Task Alignment in Physically Informed Neural Networks
Inbar Seroussi
Asaf Miron
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PINN
40
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12 Jul 2023
Comparison of Neural FEM and Neural Operator Methods for applications in Solid Mechanics
Stefan Hildebrand
Sandra Klinge
AI4CE
17
2
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04 Jul 2023
Residual-based attention and connection to information bottleneck theory in PINNs
Sokratis J. Anagnostopoulos
Juan Diego Toscano
Nikos Stergiopulos
George Karniadakis
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01 Jul 2023
Parameter Identification for Partial Differential Equations with Spatiotemporal Varying Coefficients
Guangtao Zhang
Yiting Duan
Guanyu Pan
Qijing Chen
Huiyu Yang
Zhikun Zhang
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30 Jun 2023
Hyena Neural Operator for Partial Differential Equations
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Zijie Li
Amir Barati Farimani
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28 Jun 2023
Training Deep Surrogate Models with Large Scale Online Learning
Lucas Meyer
M. Schouler
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Alejandro Ribés
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22
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Separable Physics-Informed Neural Networks
Junwoo Cho
Seungtae Nam
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S. Yun
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Eunbyung Park
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43
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28 Jun 2023
SuperBench: A Super-Resolution Benchmark Dataset for Scientific Machine Learning
Pu Ren
N. Benjamin Erichson
Shashank Subramanian
Omer San
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Michael W. Mahoney
44
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Physics-informed neural networks modeling for systems with moving immersed boundaries: application to an unsteady flow past a plunging foil
Rahul Sundar
Dipanjan Majumdar
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25
6
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23 Jun 2023
PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs
Zhongkai Hao
J. Yao
Chang Su
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Ziao Wang
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Zeyu Xia
Yichi Zhang
Songming Liu
Lu Lu
Jun Zhu
PINN
29
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15 Jun 2023
An adaptive augmented Lagrangian method for training physics and equality constrained artificial neural networks
S. Basir
Inanc Senocak
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11
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Progressive Learning for Physics-informed Neural Motion Planning
Ruiqi Ni
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13
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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
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01 Jun 2023
Predictive Limitations of Physics-Informed Neural Networks in Vortex Shedding
Pi-Yueh Chuang
L. Barba
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37
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Constrained Optimization via Exact Augmented Lagrangian and Randomized Iterative Sketching
Ilgee Hong
Sen Na
Michael W. Mahoney
Mladen Kolar
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ParticleWNN: a Novel Neural Networks Framework for Solving Partial Differential Equations
Yaohua Zang
Gang Bao
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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
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Efficient Error Certification for Physics-Informed Neural Networks
Francisco Eiras
Adel Bibi
Rudy Bunel
Krishnamurthy Dvijotham
Philip H. S. Torr
M. P. Kumar
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17 May 2023
Physics Informed Token Transformer for Solving Partial Differential Equations
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Zijie Li
Amir Barati Farimani
AI4CE
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