Network approximation of input-output maps and functionals

DOI10.1007/BF01190124zbMath0876.94055MaRDI QIDQ1363381

Lilian Xu, Sandberg, Irwin W.

Publication date: 1 December 1997

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

reflexive Banach spacesinput-output mapsfinite-memory systems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Analytic circuit theory (94C05) Approximation by other special function classes (41A30) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (4)

Uniform approximation of discrete-space multidimensional myopic maps ⋮ Functional multi-layer perceptron: A nonlinear tool for functional data analysis ⋮ Multilayer Perceptron with Functional Inputs: an Inverse Regression Approach ⋮ Separation conditions and approximation of discrete-time and discrete-space systems

Cites Work

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• Structure theorems for nonlinear systems
• Approximation by superposition of sigmoidal and radial basis functions
• Uniform approximation and the circle criterion
• General structures for classification
• Approximation by superpositions of a sigmoidal function

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