Noncompact uniform universal approximation

DOI10.1016/j.neunet.2024.106181arXiv2308.03812OpenAlexW4391849485MaRDI QIDQ6121956

Teun D. H. van Nuland

Publication date: 27 March 2024

Published in: Neural Networks (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.03812

zbMATH Keywords

uniform convergenceuniversal approximation theoremfunctional analysisridge functionsdeep learningfeedforward ANN

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Banach algebras of continuous functions, function algebras (46J10) Multidimensional problems (41A63) Approximation by other special function classes (41A30)

Cites Work

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• Universal approximation bounds for superpositions of a sigmoidal function
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• Neural network approximation: three hidden layers are enough

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