When Do Extended Physics-Informed Neural Networks (XPINNs) Improve
Generalization?

When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?

20 September 2021

Ameya Dilip Jagtap

George Karniadakis

Kenji Kawaguchi

Papers citing "When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?"

12 / 12 papers shown

Title
Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Conor Rowan K. Maute Alireza Doostan AI4CE 48 0 0 08 May 2025
Machine learning for modelling unstructured grid data in computational physics: a review Sibo Cheng Marc Bocquet Weiping Ding Tobias S. Finn Rui Fu ... Yong Zeng Mingrui Zhang Hao Zhou Kewei Zhu Rossella Arcucci PINN AI4CE 114 0 0 13 Feb 2025
Initialization-enhanced Physics-Informed Neural Network with Domain Decomposition (IDPINN) Chenhao Si Ming Yan AI4CE PINN 41 3 0 05 Jun 2024
Machine learning and domain decomposition methods -- a survey A. Klawonn M. Lanser J. Weber AI4CE 24 7 0 21 Dec 2023
Investigating the Ability of PINNs To Solve Burgers' PDE Near Finite-Time BlowUp Dibyakanti Kumar Anirbit Mukherjee 31 2 0 08 Oct 2023
h-analysis and data-parallel physics-informed neural networks Paul Escapil-Inchauspé G. A. Ruz PINN AI4CE 29 2 0 17 Feb 2023
How important are activation functions in regression and classification? A survey, performance comparison, and future directions Ameya Dilip Jagtap George Karniadakis AI4CE 37 71 0 06 Sep 2022
Error estimates for physics informed neural networks approximating the Navier-Stokes equations Tim De Ryck Ameya Dilip Jagtap S. Mishra PINN 49 115 0 17 Mar 2022
Physics-informed neural networks for inverse problems in supersonic flows Ameya Dilip Jagtap Zhiping Mao Nikolaus Adams George Karniadakis PINN 20 201 0 23 Feb 2022
Neural Fields in Visual Computing and Beyond Yiheng Xie Towaki Takikawa Shunsuke Saito Or Litany Shiqin Yan Numair Khan Federico Tombari James Tompkin Vincent Sitzmann Srinath Sridhar 3DH 49 615 0 22 Nov 2021
An overview on deep learning-based approximation methods for partial differential equations C. Beck Martin Hutzenthaler Arnulf Jentzen Benno Kuckuck 30 146 0 22 Dec 2020
Norm-Based Capacity Control in Neural Networks Behnam Neyshabur Ryota Tomioka Nathan Srebro 125 577 0 27 Feb 2015