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Autori principali: Xu, Zhi-Qin John, Zhang, Lulu, Cai, Wei
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2501.09987
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author Xu, Zhi-Qin John
Zhang, Lulu
Cai, Wei
author_facet Xu, Zhi-Qin John
Zhang, Lulu
Cai, Wei
contents In this review, we survey the latest approaches and techniques developed to overcome the spectral bias towards low frequency of deep neural network learning methods in learning multiple-frequency solutions of partial differential equations. Open problems and future research directions are also discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2501_09987
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
Xu, Zhi-Qin John
Zhang, Lulu
Cai, Wei
Numerical Analysis
In this review, we survey the latest approaches and techniques developed to overcome the spectral bias towards low frequency of deep neural network learning methods in learning multiple-frequency solutions of partial differential equations. Open problems and future research directions are also discussed.
title On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
topic Numerical Analysis
url https://arxiv.org/abs/2501.09987