Implications and applications of Kolmogorov's superposition theorem

DOI10.1109/TAC.1980.1102536zbMath0471.93036OpenAlexW2155853401MaRDI QIDQ3926437

Rui J. P. de Figueiredo

Publication date: 1980

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1980.1102536

zbMATH Keywords

statistical pattern recognitionKolmogorov's superposition theoremimage and multidimensional signal processingnonlinear circuit and system theory

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Nonlinear systems in control theory (93C10) Pattern recognition, speech recognition (68T10) Applications of design theory to circuits and networks (94C30)

Related Items (5)

On a constructive proof of Kolmogorov's superposition theorem ⋮ A survey on universal approximation and its limits in soft computing techniques. ⋮ Universal approximation by radial basis function networks of Delsarte translates ⋮ The universal approximation capabilities of double \(2\pi\)-periodic approximate identity neural networks ⋮ Universal approximation capability of EBF neural networks with arbitrary activation functions

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