THE PROBABILISTIC NEURAL NET NEURON’S NUMBER CALCULATIONS
DOI:
https://doi.org/10.47839/ijc.11.2.559Keywords:
Probabilistic neural net, clustering, compactness, neuron’s number, sub-gradient optimization method.Abstract
The sub-gradient method of estimation of the number of the hidden layer neurons of a probabilistic neural network is suggested. This method allows evaluating the data compactness violation in λ-space. This evaluation based on the noise stability sub-gradient iterative optimization method. This method allows reducing the number of the hidden layer neurons and classification time.References
A. N. Belbachir, M. Lera, A. Fanni, A. Montisci, An automatic optical inspection system for the diagnosis of printed circuit based on neural networks, 40th IEEE Industry Applications Society Annual Meeting, Hong-Kong, China, (2005), pp. 680-684.
K. W. Ko, H. S. Cho, Solder joint inspection using a neural network and fuzzy rule-based classification method, IEEE Transaction on electronics packaging manufacturing, (23) 2 (2000), pp. 93-103.
Y. J. Roh, K. W. Ko, H. S. Cho, H. C. Kim, H. N. Joo, S. K. Kim, Inspection of ball grid array (BGA) solder joint using X-ray cross-sequential images, Part of the SPIE Conference on Machine Vision Systems for Inspection and Metrology, Boston, Massachusets, (1999), pp. 168-178.
J. Wang, W. S. Tang, C. Roze, Neural network applications in intelligent manufacturing: An updated survey, Part 2. Computation intelligence in manufacturing handbook. CRC Press LLC. Boca Raton, 2001. 29 p.
P. D. Wasserman, Advanced Methods in Neural Computing, Van Nostrand Reinhold, New York, 1993.
J. C. Bezdek, N. R. Pal, Some new indexes of cluster validity, IEEE Transactions on systems, manufacturing and cybernetics, (28) 3 (1998), pp. 301-315.
R. O. Duda, P. E. Hart, D. G. Stork, Pattern Classification, Wiley-Interscience. John Wiley & Soon Inc. New-York, 2006, 738 p.
S. Haykin, Neural Networks. A Comprehensive Foundation, Second Edition. Prentice Hall. 1998.
G. Setlak, Artificial Neural Network Using for Classification Tasks Solution in Management, Radio Electronics, Computer Science, Control, (1) (2004), pp. 127-135. (in Russian)
V. S. Medvedev, V. G. Potiomkin, Neural Networks. MatLab 6. Мoscow, 2002. 485 p. (in Russian)
M. S. Yang, K.-L. Wu, A modified mountain clustering algorithm, Pattern Anal. Applic. (8) (2005), pp. 125-138.
Y. Z. Tscypkin, Adaptation and Training in the Automatic Systems, Moscow, 1968, 400 p. (in Russian)
I. D. Mandel, Cluster’s Analysis, Moscow, 1988, 176 p. (in Russian)
D. L. Davies, D. W. Bouldin, A cluster separation measure, IEEE Trans. Pattern Anal. Machine Intell. (1) 4 (1979), pp. 224-227.
N. G. Zagoruiko, Applied Methods of Data and Knowledge Analysis, Novosibirsk, 1999, 270 p. (in Russian)
S. A. Yudin, Method of image creating in problems of intellectual data analysis, Thesis for candidate’s degree by spetiality 05.13.23 – Systems and instruments of artificial intelligence, Оdеssа National Polytechnic University, 2006, (in Russian)
G. Yu. Shcherbakova, V. N. Krylov, S. G. Antoshchuk. The number of clusters evaluation in time of electronic apparatus state prediction, Electronics and Communications, (3) (2010), pp. 91-95. (in Russian)
V. N. Krylov, G. Yu. Shcherbakova, Sub-gradient iterative optimization method in the wavelet transforming domain, Zbirnyk naukovyh prac Vijskovogo instytutu Kyjivskogo nacionalnogo universytetu imeni T. Shevchenka, (12) (2008), pp. 56-60. (in Ukrainian)
L. J. Hubert, P. Arabie, Comparing partitions, J. Classification, (2) (1985), pp. 193-218.
N. R. Pal, J. Biswas, Cluster validation using graph theoretic concepts, Pattern Recognition, (30) 6 (1991), pp. 847-857.
L. Sheng, System implementation, modeling and defect pattern recognition for flip chip solder joint inspection using laser techniques, Thesis for degree Doctor of Philosophy. School of Mechanical Engineering Georgia Institute of Technology, 2001, 146 p. http://www.me.gatech.edu/charles.ume/UmePage/Documents/Thesis_ShengLiu.pdf.
A. V. Leonenkov, Fuzzy Models in MATLAB and FuzzyTECH, St. Peterburg, 2003, 736 p. (in Russian)
Downloads
Published
How to Cite
Issue
Section
License
International Journal of Computing is an open access journal. Authors who publish with this journal agree to the following terms:• Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
• Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
• Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.