Browse > Article

(Adaptive Structure of Modular Wavelet Neural Network Using Growing and Pruning Algorithm)  

Seo, Jae-Yong (Dept. of Information Technology Engineering, Korea University of Technology and Education)
Kim, Yong-Taek (Dept.of Electronics Electric Engineering, Chungang University)
Jo, Hyeon-Chan (Dept. of Information Technology Engineering, Korea University of Technology and Education)
Jeon, Hong-Tae (Dept.of Electronics Electric Engineering, Chungang University)
Publication Information
Abstract
In this paper, we propose the growing and pruning algorithm to design the optimal structure of modular wavelet neural network(MWNN) with F-projection and geometric growing criterion. Geometric growing criterion consists of estimated error criterion considering local error and angle criterion which attempts to assign wavelet function that is nearly orthogonal to all other existing wavelet functions. These criteria provide a methodology which a network designer can construct MWNN according to one's intention. The proposed growing algorithm increases in number of module or the size of modules of MWNN. Also, the pruning algorithm eliminates unnecessary node of module or module from constructed MWNN to overcome the problem due to localized characteristic of wavelet neural network which is used to modules of MWNN. We apply the proposed constructing algorithm of the optimal structure of MWNN to approximation problems of 1-D function and 2-D function, and evaluate the effectiveness of the proposed algorithm.
Keywords
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 Adaptively Growing Hierarchical Mixtures of Experts /
[ J.Fristch;M.Finke;A.Waibel;M.I.Jordan(ed.);M.C.Mozer(ed.);T.Petsche(ed.) ] / Advances in Neural Information Processing Systems-9
2 Visakan Kadirkamanathan and Mehesan Niranja, 'A Function Estimation Approach to Sequential Learning with Neural Networks,' Neural Computation, Vol. 5, pp. 954-975, 1999   DOI   ScienceOn
3 서재용, 김용택, 조현찬, 김용민, 전홍태, 'F-투영법을 이용한 웨이블렛 신경망의 성장 알고리즘,' 대한전자공학회 2001 하계종합학술대회 논문집, 제24권 제1호, Vol. 3, pp. 165-168, 2001   과학기술학회마을
4 Michael, I. Jordan and Robert A. Jacobs, 'Hierarchical Mixtures of Experts and the EM Algorithm,' Neural Computation, Vol. 6, No. 1, pp. 181-214, 1994   DOI   ScienceOn
5 S. R. Waterhouse and A. J. Robinson, 'Pruning and Growing Hierarchical Mixtures of Experts,' The 4th Int. Conf. on Artificial Neural Networks, Cambridge, UK, pp. 341-346, 1995
6 R. Reed, 'Pruning Algorithm - A Survey,' IEEE Trans. on Neural Networks, Vol. 6, pp. 610-622, 1995   DOI   ScienceOn
7 Viswanath Ramamuri and Joydeep Ghosh, 'Structurally Adaptive Modular Networks for Nonstationary Environments,' IEEE Trans. on Neural Networks, Vol. 10, No. 1, pp.152-160, 1999   과학기술학회마을   DOI   ScienceOn
8 J. Fristch, M. Finke, A. Waibel, 'Adaptively Growing Hierarchical Mixtures of Experts,' Advances in Neural Information Processing Systems-9, M. I. Jordan, M. C. Mozer, and T. Petsche, Eds. Cambridge, MA: MIT Press, pp. 459-465, 1997
9 C.C. whitworth and V. Kadirkamanathan, 'Cross-Entropy Based Pruning of the Hierarchical Mixtures of Experts,' Proc. of the IEEE Workshop Neural Networks for Signal Proceesing, pp. 375-383, 1997   DOI
10 서재용, 김용택, 조현찬, 전홍태, '시간-주파수 분석을 이용한 모듈라 웨이블렛 신경망의 최적 구조 설계,' 대한전자공학회 논문지, 제38권, SC편, 제2호, pp. 12-19, 2001
11 Lei Xu and M. I. Jordan, 'On Convergence Properties of the EM Algorithm for Gaussian Mixtures,' Neural Computation, Vol. 8, pp. 129-151, 1996   DOI