Finite basis Kolmogorov-Arnold networks: domain decomposition for
data-driven and physics-informed problems

Finite basis Kolmogorov-Arnold networks: domain decomposition for data-driven and physics-informed problems

28 June 2024

Amanda A. Howard

Sarah H. Murphy

Alexander Heinlein

Papers citing "Finite basis Kolmogorov-Arnold networks: domain decomposition for data-driven and physics-informed problems"

11 / 11 papers shown

Title
Low Tensor-Rank Adaptation of Kolmogorov--Arnold Networks Yihang Gao Michael K. Ng Vincent Y. F. Tan 66 0 0 17 Feb 2025
Sinc Kolmogorov-Arnold Network and Its Applications on Physics-informed Neural Networks Tianchi Yu Jingwei Qiu Jiang Yang Ivan V. Oseledets 18 2 0 05 Oct 2024
Kolmogorov-Arnold Network for Satellite Image Classification in Remote Sensing Minjong Cheon 31 42 0 02 Jun 2024
Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation SS Sidharth Keerthana AR R. Gokul Anas KP 51 72 0 12 May 2024
Stacked networks improve physics-informed training: applications to neural networks and deep operator networks Amanda A. Howard Sarah H. Murphy Shady E. Ahmed P. Stinis AI4CE 47 18 0 11 Nov 2023
A multifidelity approach to continual learning for physical systems Amanda A. Howard Yucheng Fu P. Stinis AI4CE CLL 31 8 0 08 Apr 2023
Improved architectures and training algorithms for deep operator networks Sifan Wang Hanwen Wang P. Perdikaris AI4CE 37 102 0 04 Oct 2021
DAE-PINN: A Physics-Informed Neural Network Model for Simulating Differential-Algebraic Equations with Application to Power Networks Christian Moya Guang Lin AI4CE PINN 40 37 0 09 Sep 2021
Finite Basis Physics-Informed Neural Networks (FBPINNs): a scalable domain decomposition approach for solving differential equations Benjamin Moseley Andrew Markham T. Nissen‐Meyer PINN 37 206 0 16 Jul 2021
Efficient training of physics-informed neural networks via importance sampling M. A. Nabian R. J. Gladstone Hadi Meidani DiffM PINN 57 218 0 26 Apr 2021
Parallel Physics-Informed Neural Networks via Domain Decomposition K. Shukla Ameya Dilip Jagtap George Karniadakis PINN 88 214 0 20 Apr 2021