articleTop 1% cited
Using wavelet network in nonparametric estimation
IEEE Transactions on Neural Networks · 1997 · Vol. 8(2) · pp. 227–236
Qinghua Zhang✉(Institut de Recherche en Informatique et Systèmes Aléatoires)
Abstract
Wavelet networks are a class of neural networks consisting of wavelets. In this paper, algorithms for wavelet network construction are proposed for the purpose of nonparametric regression estimation. Particular attentions are paid to sparse training data so that problems of large dimension can be better handled. A numerical example on nonlinear system identification is presented for illustration.
Neural Networks and ApplicationsImage and Signal Denoising MethodsFault Detection and Control SystemsWaveletNonparametric statisticsComputer scienceDimension (graph theory)Artificial neural networkArtificial intelligencePattern recognition (psychology)Class (philosophy)Identification (biology)Nonparametric regression
Citations
729
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20.56
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46
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References
Multiresolution approximations and wavelet orthonormal bases of 𝐿²(𝑅)
Transactions of the American Mathematical Society · 1989 · 2,104 citations
Applied Regression Analysis
Technometrics · 2005 · 18,043 citations
Nonlinear black-box modeling in system identification: a unified overview
Automatica · 1995 · 1,911 citations
A class of nonharmonic Fourier series
Transactions of the American Mathematical Society · 1952 · 2,127 citations
Modeling by shortest data description
Automatica · 1978 · 5,959 citations
Adapting to Unknown Smoothness via Wavelet Shrinkage
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A simple observer for nonlinear systems applications to bioreactors
IEEE Transactions on Automatic Control · 1992 · 1,740 citations
Multilayer feedforward networks are universal approximators
Neural Networks · 1989 · 20,841 citations
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