Learning and approximating piecewise smooth functions by deep sigmoid neural networks

DOI10.3934/MFC.2023039MaRDI QIDQ6634146

Xia Liu

Publication date: 6 November 2024

Published in: Mathematical Foundations of Computing (Search for Journal in Brave)

zbMATH Keywords

approximation theorypiecewise smooth functiondeep learningdeep neural networkslocalized approximation

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Approximations and expansions (41Axx)

Cites Work

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• Approximating smooth and sparse functions by deep neural networks: optimal approximation rates and saturation
• Learning sparse and smooth functions by deep sigmoid nets

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