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Learning in PINNs: Phase transition, total diffusion, and generalization

Learning in PINNs: Phase transition, total diffusion, and generalization

27 March 2024
Sokratis J. Anagnostopoulos
Juan Diego Toscano
Nikolaos Stergiopulos
George Karniadakis
ArXivPDFHTML

Papers citing "Learning in PINNs: Phase transition, total diffusion, and generalization"

5 / 5 papers shown
Title
Investigating and Mitigating Failure Modes in Physics-informed Neural
  Networks (PINNs)
Investigating and Mitigating Failure Modes in Physics-informed Neural Networks (PINNs)
S. Basir
PINN
AI4CE
31
21
0
20 Sep 2022
Physics and Equality Constrained Artificial Neural Networks: Application
  to Forward and Inverse Problems with Multi-fidelity Data Fusion
Physics and Equality Constrained Artificial Neural Networks: Application to Forward and Inverse Problems with Multi-fidelity Data Fusion
S. Basir
Inanc Senocak
PINN
AI4CE
34
68
0
30 Sep 2021
Physics-informed neural networks with hard constraints for inverse
  design
Physics-informed neural networks with hard constraints for inverse design
Lu Lu
R. Pestourie
Wenjie Yao
Zhicheng Wang
F. Verdugo
Steven G. Johnson
PINN
41
494
0
09 Feb 2021
On the eigenvector bias of Fourier feature networks: From regression to
  solving multi-scale PDEs with physics-informed neural networks
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks
Sizhuang He
Hanwen Wang
P. Perdikaris
131
438
0
18 Dec 2020
The large learning rate phase of deep learning: the catapult mechanism
The large learning rate phase of deep learning: the catapult mechanism
Aitor Lewkowycz
Yasaman Bahri
Ethan Dyer
Jascha Narain Sohl-Dickstein
Guy Gur-Ari
ODL
159
234
0
04 Mar 2020
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