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Some Symmetry Based Classifiers

Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
In this paper, a novel point symmetry based pattern classifier (PSC) is proposed. A recently developed point symmetry based distance is utilized to determine the amount of point symmetry of a particular test pattern with respect to a class prototype. Kd-tree based nearest neighbor search is used for reducing the complexity of point symmetry distance computation. The proposed point symmetry based classifier is well-suited for classifying data sets having point symmetric classes, irrespective of any convexity, overlap or size. In order to classify data sets having line symmetry property, a line symmetry based classifier (LSC) along the lines of PSC is thereafter proposed in this paper. To measure the total amount of line symmetry of a particular point in a class, a new definition of line symmetry based distance is also provided. Proposed LSC preserves the advantages of PSC. The performance of PSC and LSC are demonstrated in classifying fourteen artificial and real-life data sets of varying complexities. For the purpose of comparison, k-NN classifier and the well-known support vector machine (SVM) based classifiers are executed on the data sets used here for the experiments. Statistical analysis, ANOVA, is also performed to compare the performance of these classification techniques.
Wydawca
Rocznik
Strony
107--123
Opis fizyczny
bibliogr. 22 poz., tab., wykr.
Twórcy
autor
Bibliografia
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  • [6] Bandyopadhyay, S., Saha, S.: GAPS: A Clustering Method Using A New Point Symmetry Based Distance Measure, Pattern Recog., 40, 2007, 3430-3451.
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  • [8] Chou, C. H., Su, M. C., Lai, E.: Symmetry as A new Measure for Cluster Validity, in: 2nd WSEAS Int. Conf. on Scientific Computation and Soft Computing, Crete, Greece, 2002, 209-213.
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  • [10] Crammer, K., Singer, Y.: On the Algorithmic Implementation of Multi-class SVMs, JMLR, 2001.
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  • [14] Friedman, J. H., Bently, J. L., Finkel, R. A.: An Algorithm for finding best matches in logarithmic expected time, ACM Transactions on Mathematical Software, 3(3), 1977, 209-226.
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  • [16] Joachims, T.: SVMmulticlass: Multi-Class Support Vector Machine, 2007, Http://svmlight.joachims.org/svm multiclass.html.
  • [17] Jolliffe, I.: Principal Component Analysis, Springer Series in Statistics, England, 1986.
  • [18] Liu, C.-L., Nakagawa, M.: Prototype Learning Algorithms for Nearest Neighbor Classifier with Application to Handwritten Character Recognition, ICDAR -99: Proceedings of the Fifth International Conference on Document Analysis and Recognition, IEEE Computer Society, Washington, DC, USA, 1999.
  • 19] Mount, D. M., Arya, S.: ANN: A Library for Approximate Nearest Neighbor Searching, 2005, Http://www.cs.umd.edu/_mount/ANN.
  • [20] Pal, S. K., Bandyopadhyay, S., Murthy, C. A.: Genetic algorithms for generation of class boundaries, IEEE Trans. System Man Cybernet, 28(6), 1998, 816-828.
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  • [22] Su, M.-C., Chou, C.-H.: A Modified Version of the K-means Algorithm with a Distance Based on Cluster Symmetry, IEEE Transactions Pattern Analysis and Machine Intelligence, 23(6), 2001, 674-680.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0004-0009
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