A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks-Reference-Cited by-同舟云学术

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A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks

Published:2024-11 Issue: Volume:431 Page:117290
ISSN:0045-7825
Container-title:Computer Methods in Applied Mechanics and Engineering
language:en
Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Shukla Khemraj,Toscano Juan Diego^ORCID,Wang Zhicheng^ORCID,Zou Zongren^ORCID,Karniadakis George Em

Publisher

Elsevier BV

Reference84 articles.

1. Neural Networks: A Comprehensive Foundation;Haykin,1998

2. Approximation by superpositions of a sigmoidal function;Cybenko;Math. Control Signals Syst.,1989

3. Multilayer feedforward networks are universal approximators;Hornik;Neural Net.,1989

4. Generative adversarial networks;Goodfellow;Commun. ACM,2020

5. Attention is all you need;Vaswani;Adv. Neural Inf. Process. Syst.,2017

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