Abstract
Coverage is a kind of method to cover points of same class samples in feature space, which is based on Biomimetic Pattern Recognition. The mathematical description of coverage is given and the discriminant boundary of coverage is shown. Coverage is tested in face recognition on ORL database. Both the COVERAGE and SVM networks are used for covering. The results show that COVERAGE act better than SVM in generalization, especially for small sample set, which are consonant with the result of the applications of BPR.
Supported by The National Natural Science Foundation of China NO.60576055.
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References
Wang, S.: Biomimetic Pattern Recognition (in Chinese). ACTA Electronica Sinica 30(10), 1417–1420 (2002)
Wang, S.: Priority Ordered Neural Networks with Better Similarity to Human Knowledge Representation. Chinese Journal of Electronics 8(1), 1–4 (1999)
Wang, S., et al.: The Sequential Learning Ahead Masking(SLAM) model neural networks for pattern classification. In: Proceedings of JCIS’98, vol. IV, RTP, N.C. USA, pp. 199–202 (1998)
Sylvester, J.J.: On Poncelot’s approximate linear valuation of surd forms. Philos. Mag. Ser. 4(20), 203–222 (1860)
Hopp, T.H., Reeve, C.P.: An algorithm for computing the minimum covering sphere in any dimension. Technical Report NISTIR 5831, National Institute of Standards and Technology (1996)
Wang, S., Zhao, X.: Biomimetic Pattern Recognition Theory and Its Applications. Chinese Journal of Electronics 13(3), 56–60 (2004)
Fischer, K., Gärtner, B.: The Smallest Enclosing Ball of Balls: Combinatorial Structure and Algorithms. In: SoCG’03, San Diego, California, USA (2003)
Welzl, E.: Smallest enclosing disks (balls and ellipsoids). In: Maurer, H.A. (ed.) New Results and New Trends in Computer Science. LNCS, vol. 555, pp. 359–370. Springer, Heidelberg (1991)
Chvatal, V.: Linear programming. W.H. Freeman, New York (1983)
Duda, R.O., Hart, P.E., Stork, D.G.: Pattern Classification. John Wiley & Sons, New York (2001)
Wang, S., Zhao, G.: An Algorithm of Analysis Tools On Points Distribution In High Dimension Space: The Distance of A Point And An Infinite Sub-space. In: Proceedings of ICNNB05, vol. 3, pp. 1503–1506 (2005)
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Cao, W., Zhao, G. (2007). Coverage in Biomimetic Pattern Recognition. In: An, A., Stefanowski, J., Ramanna, S., Butz, C.J., Pedrycz, W., Wang, G. (eds) Rough Sets, Fuzzy Sets, Data Mining and Granular Computing. RSFDGrC 2007. Lecture Notes in Computer Science(), vol 4482. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72530-5_64
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DOI: https://doi.org/10.1007/978-3-540-72530-5_64
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