Neural networks for optimal approximation of continuous functions on the unit sphere

DOI10.1007/S00025-012-0278-2zbMath1253.41018OpenAlexW1980336550MaRDI QIDQ1759039

Hans-Bernd Knoop, Li Cheng, Xin-Long Zhou

Publication date: 19 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0278-2

zbMATH Keywords

neural networkapproximationsigmoidal functionridge function

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Approximation by other special function classes (41A30)

Cites Work

• Neural networks for optimal approximation of continuous functions in \(\mathbb R^d\)
• Approximation by Ridge functions and neural networks with one hidden layer
• Approximation by superposition of sigmoidal and radial basis functions
• Optimal nonlinear approximation
• Jackson-type inequality on the sphere
• Approximation by superpositions of a sigmoidal function

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