Fuzzy Wavelet Neural Network Using a Correntropy Criterion for Nonlinear System Identification
Joint Authors
Linhares, Leandro L. S.
Martins, Allan M.
Araújo, Fábio M. U.
Silveira, Luiz F. Q.
Fontes, Aluisio I. R.
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Recent researches have demonstrated that the Fuzzy Wavelet Neural Networks (FWNNs) are an efficient tool to identify nonlinear systems.
In these structures, features related to fuzzy logic, wavelet functions, and neural networks are combined in an architecture similar to the Adaptive Neurofuzzy Inference Systems (ANFIS).
In practical applications, the experimental data set used in the identification task often contains unknown noise and outliers, which decrease the FWNN model reliability.
In order to reduce the negative effects of these erroneous measurements, this work proposes the direct use of a similarity measure based on information theory in the FWNN learning procedure.
The Mean Squared Error (MSE) cost function is replaced by the Maximum Correntropy Criterion (MCC) in the traditional error backpropagation (BP) algorithm.
The input-output maps of a real nonlinear system studied in this work are identified from an experimental data set corrupted by different outliers rates and additive white Gaussian noise.
The results demonstrate the advantages of the proposed cost function using the MCC as compared to the MSE.
This work also investigates the influence of the kernel size on the performance of the MCC in the BP algorithm, since it is the only free parameter of correntropy.
American Psychological Association (APA)
Linhares, Leandro L. S.& Fontes, Aluisio I. R.& Martins, Allan M.& Araújo, Fábio M. U.& Silveira, Luiz F. Q.. 2015. Fuzzy Wavelet Neural Network Using a Correntropy Criterion for Nonlinear System Identification. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1074442
Modern Language Association (MLA)
Linhares, Leandro L. S.…[et al.]. Fuzzy Wavelet Neural Network Using a Correntropy Criterion for Nonlinear System Identification. Mathematical Problems in Engineering No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1074442
American Medical Association (AMA)
Linhares, Leandro L. S.& Fontes, Aluisio I. R.& Martins, Allan M.& Araújo, Fábio M. U.& Silveira, Luiz F. Q.. Fuzzy Wavelet Neural Network Using a Correntropy Criterion for Nonlinear System Identification. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1074442
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074442