Design of wavelet neural networks based on symmetry fuzzy C-means for function approximation

Specifying the number and locations of the translation vectors for wavelet neural networks (WNNs) is of paramount significance as the quality of approximation may be drastically reduced if initialization of WNNs parameters was not done judiciously. In this paper, an enhanced fuzzy C-means algorithm,...

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Main Authors: Zainuddin, Zarita, Pauline, Ong
Format: Article
Language:English
Published: Springer Verlag 2013
Subjects:
Online Access:http://eprints.uthm.edu.my/4209/
http://eprints.uthm.edu.my/4209/1/AJ%202017%20%28580%29.pdf
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author Zainuddin, Zarita
Pauline, Ong
author_facet Zainuddin, Zarita
Pauline, Ong
author_sort Zainuddin, Zarita
building UTHM Institutional Repository
collection Online Access
description Specifying the number and locations of the translation vectors for wavelet neural networks (WNNs) is of paramount significance as the quality of approximation may be drastically reduced if initialization of WNNs parameters was not done judiciously. In this paper, an enhanced fuzzy C-means algorithm, specifically the modified point symmetry–based fuzzy C-means algorithm (MPSDFCM), was proposed, in order to determine the optimal initial locations for the translation vectors. The proposed neural network models were then employed in approximating five different nonlinear continuous functions. Assessment analysis showed that integration of the MPSDFCM in the learning phase of WNNs would lead to a significant improvement in WNNs prediction accuracy. Performance comparison with the approaches reported in the literature in approximating the same benchmark piecewise function verified the superiority of the proposed strategy.
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spelling uthm-42092021-11-28T08:23:12Z http://eprints.uthm.edu.my/4209/ Design of wavelet neural networks based on symmetry fuzzy C-means for function approximation Zainuddin, Zarita Pauline, Ong QA299.6-433 Analysis Specifying the number and locations of the translation vectors for wavelet neural networks (WNNs) is of paramount significance as the quality of approximation may be drastically reduced if initialization of WNNs parameters was not done judiciously. In this paper, an enhanced fuzzy C-means algorithm, specifically the modified point symmetry–based fuzzy C-means algorithm (MPSDFCM), was proposed, in order to determine the optimal initial locations for the translation vectors. The proposed neural network models were then employed in approximating five different nonlinear continuous functions. Assessment analysis showed that integration of the MPSDFCM in the learning phase of WNNs would lead to a significant improvement in WNNs prediction accuracy. Performance comparison with the approaches reported in the literature in approximating the same benchmark piecewise function verified the superiority of the proposed strategy. Springer Verlag 2013 Article PeerReviewed text en http://eprints.uthm.edu.my/4209/1/AJ%202017%20%28580%29.pdf Zainuddin, Zarita and Pauline, Ong (2013) Design of wavelet neural networks based on symmetry fuzzy C-means for function approximation. Neural Computing and Applications, 23 (NIL). pp. 247-259. ISSN 0941-0643 https://dx.doi.org/10.1007/s00521-013-1350-x
spellingShingle QA299.6-433 Analysis
Zainuddin, Zarita
Pauline, Ong
Design of wavelet neural networks based on symmetry fuzzy C-means for function approximation
title Design of wavelet neural networks based on symmetry fuzzy C-means for function approximation
title_full Design of wavelet neural networks based on symmetry fuzzy C-means for function approximation
title_fullStr Design of wavelet neural networks based on symmetry fuzzy C-means for function approximation
title_full_unstemmed Design of wavelet neural networks based on symmetry fuzzy C-means for function approximation
title_short Design of wavelet neural networks based on symmetry fuzzy C-means for function approximation
title_sort design of wavelet neural networks based on symmetry fuzzy c-means for function approximation
topic QA299.6-433 Analysis
url http://eprints.uthm.edu.my/4209/
http://eprints.uthm.edu.my/4209/
http://eprints.uthm.edu.my/4209/1/AJ%202017%20%28580%29.pdf