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Learning in Sinusoidal Spaces with Physics-Informed Neural Networks
v1v2 (latest)

Learning in Sinusoidal Spaces with Physics-Informed Neural Networks

20 September 2021
Jian Cheng Wong
C. Ooi
Abhishek Gupta
Yew-Soon Ong
    AI4CEPINNSSL
ArXiv (abs)PDFHTML

Papers citing "Learning in Sinusoidal Spaces with Physics-Informed Neural Networks"

41 / 41 papers shown
Fast PINN Eigensolvers via Biconvex Reformulation
Fast PINN Eigensolvers via Biconvex Reformulation
Akshay Sai Banderwaar
Abhishek Gupta
95
0
0
02 Nov 2025
General Fourier Feature Physics-Informed Extreme Learning Machine (GFF-PIELM) for High-Frequency PDEs
General Fourier Feature Physics-Informed Extreme Learning Machine (GFF-PIELM) for High-Frequency PDEs
Fei Ren
Sifan Wang
Pei-Zhi Zhuang
H. Yu
He Yang
AI4CE
131
0
0
14 Oct 2025
Impact of Loss Weight and Model Complexity on Physics-Informed Neural Networks for Computational Fluid Dynamics
Impact of Loss Weight and Model Complexity on Physics-Informed Neural Networks for Computational Fluid Dynamics
Yi En Chou
Te Hsin Liu
Chao An Lin
PINNAI4CE
174
2
0
24 Sep 2025
Stabilizing PINNs: A regularization scheme for PINN training to avoid unstable fixed points of dynamical systems
Stabilizing PINNs: A regularization scheme for PINN training to avoid unstable fixed points of dynamical systems
Milos Babic
Franz M. Rohrhofer
Bernhard C. Geiger
PINN
121
0
0
15 Sep 2025
Neuro-Spectral Architectures for Causal Physics-Informed Networks
Neuro-Spectral Architectures for Causal Physics-Informed Networks
Arthur Bizzi
Leonardo M. Moreira
Márcio Marques
Leonardo Mendonça
Christian Júnior de Oliveira
...
Daniel Yukimura
Pavel Petrov
João M. Pereira
Tiago Novello
Lucas Nissenbaum
PINN
323
1
0
05 Sep 2025
Gaussian Process Regression of Steering Vectors With Physics-Aware Deep Composite Kernels for Augmented Listening
Gaussian Process Regression of Steering Vectors With Physics-Aware Deep Composite Kernels for Augmented Listening
Diego Di Carlo
Koyama Shoichi
Nugraha Aditya Arie
Fontaine Mathieu
Bando Yoshiaki
Yoshii Kazuyoshi
LLMSV
160
0
0
20 Aug 2025
Multi-level datasets training method in Physics-Informed Neural Networks
Multi-level datasets training method in Physics-Informed Neural Networks
Yao-Hsuan Tsai
Hsiao-Tung Juan
Pao-Hsiung Chiu
Chao-An Lin
AI4CE
305
0
0
30 Apr 2025
REAct: Rational Exponential Activation for Better Learning and Generalization in PINNsIEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2025
Sourav Mishra
Shreya Hallikeri
Suresh Sundaram
AI4CE
345
1
0
04 Mar 2025
Gabor-Enhanced Physics-Informed Neural Networks for Fast Simulations of Acoustic Wavefields
Gabor-Enhanced Physics-Informed Neural Networks for Fast Simulations of Acoustic WavefieldsNeural Networks (NN), 2025
Mohammad Mahdi Abedi
David Pardo
Tariq Alkhalifah
268
2
0
24 Feb 2025
Sub-Sequential Physics-Informed Learning with State Space Model
Sub-Sequential Physics-Informed Learning with State Space Model
Chenhui Xu
Dancheng Liu
Yuting Hu
Jiajie Li
Ruiyang Qin
Qingxiao Zheng
Jinjun Xiong
AI4CEPINN
1.1K
4
0
01 Feb 2025
Evolutionary Optimization of Physics-Informed Neural Networks: Evo-PINN Frontiers and Opportunities
Evolutionary Optimization of Physics-Informed Neural Networks: Evo-PINN Frontiers and Opportunities
Jian Cheng Wong
Abhishek Gupta
Chin Chun Ooi
P. Chiu
Jiao Liu
Yew-Soon Ong
PINNAI4CE
334
0
0
11 Jan 2025
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
204
3
0
30 Sep 2024
SetPINNs: Set-based Physics-informed Neural Networks
SetPINNs: Set-based Physics-informed Neural Networks
Mayank Nagda
Phil Ostheimer
Thomas Specht
Frank Rhein
Fabian Jirasek
Stephan Mandt
Marius Kloft
Sophie Fellenz
PINN3DPC
667
2
0
30 Sep 2024
Dual Cone Gradient Descent for Training Physics-Informed Neural Networks
Dual Cone Gradient Descent for Training Physics-Informed Neural NetworksNeural Information Processing Systems (NeurIPS), 2024
Youngsik Hwang
Dong-Young Lim
AI4CE
392
10
0
27 Sep 2024
ASPINN: An asymptotic strategy for solving singularly perturbed
  differential equations
ASPINN: An asymptotic strategy for solving singularly perturbed differential equations
Sen Wang
Peizhi Zhao
Tao Song
333
2
0
20 Sep 2024
Point Neuron Learning: A New Physics-Informed Neural Network Architecture
Point Neuron Learning: A New Physics-Informed Neural Network ArchitectureEURASIP Journal on Audio, Speech, and Music Processing (EURASIP J. Audio Speech Music Process), 2024
Hanwen Bi
T. Abhayapala
PINN
443
12
0
30 Aug 2024
Data-Guided Physics-Informed Neural Networks for Solving Inverse
  Problems in Partial Differential Equations
Data-Guided Physics-Informed Neural Networks for Solving Inverse Problems in Partial Differential Equations
Wei Zhou
Y. F. Xu
AI4CEPINN
278
7
0
15 Jul 2024
RoPINN: Region Optimized Physics-Informed Neural Networks
RoPINN: Region Optimized Physics-Informed Neural NetworksNeural Information Processing Systems (NeurIPS), 2024
Haixu Wu
Huakun Luo
Yuezhou Ma
Jianmin Wang
Mingsheng Long
AI4CE
196
26
0
23 May 2024
Physics-Informed Neural Networks: Minimizing Residual Loss with Wide
  Networks and Effective Activations
Physics-Informed Neural Networks: Minimizing Residual Loss with Wide Networks and Effective ActivationsInternational Joint Conference on Artificial Intelligence (IJCAI), 2024
Nima Hosseini Dashtbayaz
G. Farhani
Boyu Wang
Charles Ling
320
3
0
02 May 2024
Decoder Decomposition for the Analysis of the Latent Space of Nonlinear
  Autoencoders With Wind-Tunnel Experimental Data
Decoder Decomposition for the Analysis of the Latent Space of Nonlinear Autoencoders With Wind-Tunnel Experimental Data
Yaxin Mo
Tullio Traverso
Luca Magri
AI4CE
195
9
0
25 Apr 2024
RBF-PINN: Non-Fourier Positional Embedding in Physics-Informed Neural
  Networks
RBF-PINN: Non-Fourier Positional Embedding in Physics-Informed Neural Networks
Chengxi Zeng
T. Burghardt
A. Gambaruto
AI4CE
207
7
0
13 Feb 2024
Feature Mapping in Physics-Informed Neural Networks (PINNs)
Feature Mapping in Physics-Informed Neural Networks (PINNs)
Chengxi Zeng
T. Burghardt
A. Gambaruto
284
2
0
10 Feb 2024
Data-Driven Physics-Informed Neural Networks: A Digital Twin Perspective
Data-Driven Physics-Informed Neural Networks: A Digital Twin Perspective
Sunwoong Yang
Hojin Kim
Y. Hong
K. Yee
R. Maulik
Namwoo Kang
PINNAI4CE
371
48
0
05 Jan 2024
On Optimal Sampling for Learning SDF Using MLPs Equipped with Positional
  Encoding
On Optimal Sampling for Learning SDF Using MLPs Equipped with Positional EncodingIEEE Transactions on Visualization and Computer Graphics (TVCG), 2024
Guying Lin
Lei Yang
Yuan Liu
Congyi Zhang
Xianqiang Lyu
Xiaogang Jin
Taku Komura
John Keyser
Wenping Wang
135
2
0
02 Jan 2024
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
256
3
0
08 Oct 2023
Learning Specialized Activation Functions for Physics-informed Neural
  Networks
Learning Specialized Activation Functions for Physics-informed Neural NetworksCommunications in Computational Physics (Commun. Comput. Phys.), 2023
Honghui Wang
Lu Lu
Shiji Song
Gao Huang
PINNAI4CE
188
29
0
08 Aug 2023
PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural
  Networks
PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural NetworksInternational Conference on Learning Representations (ICLR), 2023
Leo Zhao
Xueying Ding
B. Prakash
PINNAI4CE
258
61
0
21 Jul 2023
LSA-PINN: Linear Boundary Connectivity Loss for Solving PDEs on Complex
  Geometry
LSA-PINN: Linear Boundary Connectivity Loss for Solving PDEs on Complex GeometryIEEE International Joint Conference on Neural Network (IJCNN), 2023
Jian Cheng Wong
P. Chiu
C. Ooi
M. Dao
Yew-Soon Ong
AI4CEPINN
298
17
0
03 Feb 2023
Neuroevolution of Physics-Informed Neural Nets: Benchmark Problems and
  Comparative Results
Neuroevolution of Physics-Informed Neural Nets: Benchmark Problems and Comparative Results
Nicholas Sung
Jian Cheng Wong
C. Ooi
Abhishek Gupta
P. Chiu
Yew-Soon Ong
PINN
212
10
0
15 Dec 2022
Simple initialization and parametrization of sinusoidal networks via
  their kernel bandwidth
Simple initialization and parametrization of sinusoidal networks via their kernel bandwidthInternational Conference on Learning Representations (ICLR), 2022
Filipe de Avila Belbute-Peres
J. Zico Kolter
185
4
0
26 Nov 2022
Robustness of Physics-Informed Neural Networks to Noise in Sensor Data
Robustness of Physics-Informed Neural Networks to Noise in Sensor Data
Jian Cheng Wong
P. Chiu
C. Ooi
My Ha Da
193
4
0
22 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
200
4
0
21 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
PINNAI4CE
367
153
0
15 Nov 2022
Mitigating Propagation Failures in Physics-informed Neural Networks
  using Retain-Resample-Release (R3) Sampling
Mitigating Propagation Failures in Physics-informed Neural Networks using Retain-Resample-Release (R3) SamplingInternational Conference on Machine Learning (ICML), 2022
Arka Daw
Jie Bu
Sizhuang He
P. Perdikaris
Anuj Karpatne
AI4CE
322
83
0
05 Jul 2022
Noise-aware Physics-informed Machine Learning for Robust PDE Discovery
Noise-aware Physics-informed Machine Learning for Robust PDE Discovery
Pongpisit Thanasutives
Takeshi Morita
M. Numao
Ken-ichi Fukui
PINNAI4CE
365
25
0
26 Jun 2022
Enhanced Physics-Informed Neural Networks with Augmented Lagrangian
  Relaxation Method (AL-PINNs)
Enhanced Physics-Informed Neural Networks with Augmented Lagrangian Relaxation Method (AL-PINNs)Neurocomputing (Neurocomputing), 2022
Hwijae Son
S. Cho
H. Hwang
PINN
233
69
0
29 Apr 2022
Improved Training of Physics-Informed Neural Networks with Model
  Ensembles
Improved Training of Physics-Informed Neural Networks with Model EnsemblesIEEE International Joint Conference on Neural Network (IJCNN), 2022
Katsiaryna Haitsiukevich
Alexander Ilin
PINN
395
35
0
11 Apr 2022
On the Role of Fixed Points of Dynamical Systems in Training
  Physics-Informed Neural Networks
On the Role of Fixed Points of Dynamical Systems in Training Physics-Informed Neural Networks
Franz M. Rohrhofer
S. Posch
C. Gößnitzer
Bernhard C. Geiger
PINN
281
25
0
25 Mar 2022
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 nextJournal of Scientific Computing (J. Sci. Comput.), 2022
S. Cuomo
Vincenzo Schiano Di Cola
F. Giampaolo
G. Rozza
Maizar Raissi
F. Piccialli
PINN
508
1,893
0
14 Jan 2022
CAN-PINN: A Fast Physics-Informed Neural Network Based on
  Coupled-Automatic-Numerical Differentiation Method
CAN-PINN: A Fast Physics-Informed Neural Network Based on Coupled-Automatic-Numerical Differentiation MethodComputer Methods in Applied Mechanics and Engineering (CMAME), 2021
P. Chiu
Jian Cheng Wong
C. Ooi
M. Dao
Yew-Soon Ong
PINN
302
300
0
29 Oct 2021
Data vs. Physics: The Apparent Pareto Front of Physics-Informed Neural
  Networks
Data vs. Physics: The Apparent Pareto Front of Physics-Informed Neural NetworksIEEE Access (IEEE Access), 2021
Franz M. Rohrhofer
S. Posch
C. Gößnitzer
Bernhard C. Geiger
PINN
417
48
0
03 May 2021
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