Capability of neural networks in computing the outputs of dynamic systems with inputs defined on the whole space

DOI10.1007/BF02917008zbMath0918.46027MaRDI QIDQ1267747

Yuan Liang, Tian-Ping Chen

Publication date: 13 October 1998

Published in: Science in China. Series E (Search for Journal in Brave)

zbMATH Keywords

neural networksstrong theoremsequi-uniform approximationfunctionals and operators in abstract spaces

Mathematics Subject Classification ID

Neural biology (92C20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

• Unnamed Item
• Approximation to continuous functions of several variables and nonlinear functions, operators by superpositions of some functions of one variable
• On the distribution of functionals of stationary Gaussian processes
• Universal approximation capability of EBF neural networks with arbitrary activation functions
• Approximations for nonlinear functions
• Approximation by superpositions of a sigmoidal function

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