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Advances in Statistical Pattern Recognition

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Part of the book series: NATO ASI Series ((NATO ASI F,volume 30))

Abstract

Statistical pattern recognition is now a mature discipline which has been successfully applied in several application domains. The primary goal in statistical pattern recognition is classification, where a pattern vector is assigned to one of a finite number of classes and each class is characterized by a probability density function on the measured features. A pattern vector is viewed as a point in the multidimensional space defined by the features. Design of a recognition system based on this paradigm requires careful attention to the following issues: type of classifier (single-stage vs. hierarchical), feature selection, estimation of classification error, parametric vs. nonparametric decision rules, and utilizing contextual information. Current research emphasis in pattern recognition is on designing efficient algorithms, studying small sample properties of various estimators and decision rules, implementing the algorithms on novel computer architecture, and incorporating context and domain-specific knowledge in decision making.

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References

  1. T. Bailey and A.K. Jain, “A note on distance-weighted K-nearest neighbor rules,” IEEE Trans. Systems, Man, and Cybernetics, Vol. 8, 1978, pp. 311–313.

    Article  MATH  Google Scholar 

  2. V.C. Bhavsar, T.Y.T. Chan and L. Goldfarb, “On the metric approach to pattern recognition and VLSI implementation,” Proceedings IEEE Computer Society Workshop on Computer Architecture for Pattern Analysis and Image Data Base Management, Miami Beach, 1985, pp. 126–136.

    Google Scholar 

  3. G. Biswas, A.K. Jain and R. Dubes, “Evaluation of projection algorithms,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 3, 1981, pp. 701–708.

    Article  Google Scholar 

  4. B.B. Chaudhuri, “Application of quadtree, octree, and binary tree decomposition techniques to shape analysis and pattern recognition,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 7, 1985, pp. 652–661.

    Article  Google Scholar 

  5. B. Chandrasekaran, “From numbers to symbols to knowledge structures: Pattern recognition and artificial intelligence perspectives on the classification task,” in Pattern Recognition in Practice, Vol. 2, E.S. Gelsema and L.N. Kanal (Eds.), North Holland, 1986.

    Google Scholar 

  6. Y. Cheng and K.S. Fu, “Conceptual clustering in knowledge organization,” Proceedings First IEEE Conference on Artificial Intelligence Applications, Denver, 1984, pp. 274–279.

    Google Scholar 

  7. M.R. Chernick, V.K. Murthy and C.D. Nealy, “Application of bootstrap and other resampling techniques: Evaluation of classifier performance,” Pattern Recognition Letters, Vol. 3, 1985, pp. 167–178.

    Article  Google Scholar 

  8. D.K.Y. Chiu and A.K.C. Wong, “Synthesizing knowledge: A cluster analysis approach using event covering,” to appear in IEEE Trans. Systems, Man, and Cybernetics, 1986.

    Google Scholar 

  9. P.R. Cohen, Heuristic Reasoning About Uncertainty: An Artificial Intelligence Approach, Pitman, 1985.

    Google Scholar 

  10. T. M. Cover and J. M. Van Campenhout, “On the Possible orderings in the measurement selection Problem,” IEEE Trans. Systems, Man and Cybernetics, Vol. 7, 1977, pp. 657–661.

    Article  MathSciNet  MATH  Google Scholar 

  11. G.R. Dattatreya and L.N. Kanal, “Decision trees in pattern recognition,” Technical Report TR-1429, Machine Intelligence and Pattern Analysis Laboratory, University of Maryland, 1985.

    Google Scholar 

  12. W.H.E. Day and R.S. Wells, “Extremes in the complexity of computing metric distances between partitions,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 6, 1984, pp. 69–73.

    Article  MATH  Google Scholar 

  13. P.A. Devijver and M. Dekesel, “Insert and delete algorithms for maintaining dynamic Delaunay triangulations,” Pattern Recognition Letters, Vol. 1, 1982, pp. 73–77.

    Article  MATH  Google Scholar 

  14. P. Devijver and J. Kittler, Statistical Pattern Recognition, Prentice Hall, 1982.

    Google Scholar 

  15. L. Devroye and F. Machell, “Data structures in kernel density estimation,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 7, 1985, pp. 360–366.

    Article  MATH  Google Scholar 

  16. R. Dubes and A. K. Jain, “Clustering methodology in exploratory data analysis,” in Advances in Computers, Vol. 19, M. Yovits (Ed.), Academic Press, 1980.

    Google Scholar 

  17. R. Dubes and A. K. Jain, “Validity studies in clustering methodology,” Pattern Recognition, Vol. 11, 1979, pp. 235–254.

    Article  MATH  Google Scholar 

  18. R. O. Duda and P. E. Hart, Pattern Classification and Scene Analysis, Wiley, New-York, 1973.

    MATH  Google Scholar 

  19. B. Efron, “Estimating the error rate of the prediction rule: Improvements on cross validation, J AS A, Vol. 78, 1983, pp. 316–331.

    Article  MathSciNet  MATH  Google Scholar 

  20. B. Efron, “The jackknife, the bootstrap and other resampling plans”, Society for Industrial and Applied Mathematics, Philadelphia, 1982.

    Book  Google Scholar 

  21. A. H. Feiveson, “Classification by thresholding,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 5, Jan. 1983, pp. 48–54.

    Article  MATH  Google Scholar 

  22. D.H. Foley, “Consideration of sample and feature size,” IEEE Trans. Information Theory, Vol. 18, 1982, pp. 618–626.

    Article  Google Scholar 

  23. K.S. Fu, “A step towards unification of syntactic and statistical pattern recognition,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 8, 1986, pp. 398–404.

    Article  MATH  Google Scholar 

  24. K.S. Fu (Editor), VLSI for Pattern Recognition and Image Processing, Springer Verlag, 1984.

    Google Scholar 

  25. K.S. Fu (Editor), Applications of Pattern Recognition, CRC Press, 1982.

    MATH  Google Scholar 

  26. K.S. Fu, Syntactic Pattern Recognition and Applications, Prentice Hall, 1982.

    MATH  Google Scholar 

  27. K. Fukunaga and D.M. Hummels, “Bias of nearest neighbor error estimates,” to appear in IEEE Trans, on Pattern Analysis and Machine Intelligence, 1986.

    Google Scholar 

  28. K. Fukunaga and T.E. Flick, “A test of the Gaussian-ness of a data set using clustering,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 8, 1986, pp. 240–247.

    Article  MATH  Google Scholar 

  29. K. Fukunaga and T.E. Flick, “Classification error for a very large number of classes,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 6, 1984, pp. 779–788.

    Article  MATH  Google Scholar 

  30. K. Fukunaga and T. Flick, “An optimal global nearest neighbor metric,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 6, 1984, pp. 314–318.

    Article  MATH  Google Scholar 

  31. K. Fukunaga and J.M. Mantock, “Nonparametric discriminant analysis,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 5, 1983, pp. 671–678.

    Article  MATH  Google Scholar 

  32. K. Fukunaga and S. Ando, “The optimum nonlinear features for a scatter criterion in discriminant analysis,” IEEE Trans. Information Theory, Vol. 23, 1977, pp. 453–459.

    Article  MathSciNet  Google Scholar 

  33. K. Fukunaga and R.D. Short, “Generalized clustering for problem localization,” IEEE Trans. Computers, Vol. 27, 1978, pp. 176–181.

    Article  MATH  Google Scholar 

  34. T.D. Garvey, J.D. Lawrence and M.A. Fishier, “An inference technique for integrating knowledge from disparate sources,” Proceedings IJCAI, Vancouver, 1981, pp. 319–325.

    Google Scholar 

  35. R.C. Gonzalez and M.G. Thomason, Syntactic Pattern Recognition: An Introduction, Addison-Wesley, 1978.

    MATH  Google Scholar 

  36. P. Hall, “Large sample optimality of least squares cross-validation in density estimation,” Annals of Statistics, Vol. 11, 1983, pp. 1156–1174.

    MathSciNet  MATH  Google Scholar 

  37. J. Haslett, “Maximum likelihood discriminant analysis on the plane using a Markovian model of spatial context,” Pattern Recognition Journal, Vol. 18, 1985, pp. 287–296.

    Article  MATH  Google Scholar 

  38. J.J. Hull, S.N. Srihari and R. Choudhari, “An integrated algorithm for text recognition: Comparison with a cascaded algorithm,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 5, 1983, pp. 384–395.

    Article  MATH  Google Scholar 

  39. A. K. Jain and B. Chandrasekaran, “Dimensionality and sample size consideration in pattern recognition practice,” in Handbook of Statistics, Vol. 2, P. R. Krishnaiah and L. N. Kanal (Eds.), North Holland, 1982, pp. 835–855.

    Google Scholar 

  40. A.K. Jain, R.C. Dubes and C.C. Chen, “Bootstrap techniques for error estimation,” submitted to IEEE Trans. Pattern Analysis and Machine Intelligence, 1986.

    Google Scholar 

  41. M.M. Kalayeh and D.A. Landgrebe, “Predicting the required number of training samples,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 5, November 1983, pp. 664–667.

    Article  Google Scholar 

  42. M. Kallay, “Convex hull made easy,” Information Processing Letters, Vol. 22, 1986, pp. 161.

    Article  MathSciNet  Google Scholar 

  43. B. Kamgar-Parsi and L.N. Kanal, “An improved branch and bound algorithm for computing k-nearest neighbors,” Pattern Recognition Letters, Vol. 3, 1985, pp. 7–12.

    Article  Google Scholar 

  44. J.P. Keating and R.L. Mason, “Some practical aspects of covariance estimation,” Pattern Recognition Letters, Vol. 3, 1985, pp. 295–298.

    Article  Google Scholar 

  45. V. Kumar and L.N. Kanal, “Parallel branch-and-bound formulation for AND/OR tree search,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 6, 1984, pp. 768–778.

    Article  Google Scholar 

  46. D. T. Lee and F. P. Preparata, “Computational geometry: A survey,” IEEE Trans. Computers, Vol. 33, 1984, pp. 1072–1101.

    Article  MathSciNet  Google Scholar 

  47. X. Li and R. Dubes, “A new statistic for tree classifier design,” to appear in Pattern Recognition, 1986.

    Google Scholar 

  48. W. Maline, “On an extended Fisher criterion for feature selection,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 3, 1981, pp. 611–614.

    Article  Google Scholar 

  49. L. Miclet and M. Dabouz, “Approximative fast nearest-neighbor recognition,” Pattern Recognition Letters, Vol. 1, 1983, pp. 277–285.

    Article  Google Scholar 

  50. R.S. Michalski and R.E. Stepp III, “Automated construction of classification: Conceptual clustering versus numerical taxonomy,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 5, 1983, pp. 396–410.

    Article  Google Scholar 

  51. S.D. Morgera, “Linear, structured covariance estimation: An application to pattern classification for remote sensing,” Pattern Recognition Letters, Vol. 4, 1986, pp. 1–7.

    Article  MATH  Google Scholar 

  52. J. K. Mui and K. S. Fu, “Automated classification of nucleated blood cells using binary tree classifier,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 2, 1980, pp. 429–443.

    Google Scholar 

  53. M. Nagao, “Control strategies in pattern analysis,” Pattern Recognition, Vol. 17, 1984, pp. 45–56.

    Article  Google Scholar 

  54. G. Nagy, “Candide’s practical principles of experimental pattern recognition,” IEEE Trans, on Pattern Analysis and Machine Intelligence, Vol. 5, 1983, pp. 199–200.

    Article  Google Scholar 

  55. N. Nandhakumar and J.K. Aggarawal, “The artificial intelligence approach to pattern recognition—a perspective and an overview,” Pattern Recognition, Vol. 18, 1985, pp. 383–389.

    Article  Google Scholar 

  56. P. M. Narendra and K. Fukunaga, “A branch and bound algorithm for feature subset selection,” IEEE Trans. Computers, Vol. 26, 1977, pp. 917–922.

    Article  MATH  Google Scholar 

  57. L.M. Ni and A.K. Jain, “A VLSI systolic architecture for pattern clustering,” IEEE Trans, on Pattern Analysis and Machine Intelligence, Vol. 7, 1985, pp. 80–89.

    Article  Google Scholar 

  58. E. Oja and M. Kuusela, “The ALSM algorithm—An improved subspace method for classification,” Pattern Recognition, Vol. 16, 1983, pp. 421–427.

    Article  Google Scholar 

  59. T. Okada and S. Tomita, “An optimal orthonormal system for discriminant analysis,” Pattern Recognition, Vol. 18, 1985, pp. 139–144.

    Article  Google Scholar 

  60. T. Pavlidis, Structural Pattern Recognition, Springer Verlag, 1977.

    MATH  Google Scholar 

  61. R. Peck and J. Van Ness, “The use of shrinkage estimators in linear discriminant analysis,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 4, 1982, pp. 530–537.

    Article  Google Scholar 

  62. J.G. Postaire and C. Vasseur, “A fast algorithm for nonparametric probability density estimation,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 4, 1982, pp. 663–666.

    Article  Google Scholar 

  63. B.D. Ripley, Spatial Statistics, Wiley, 1981.

    Google Scholar 

  64. I.K. Sethi and G.P.R. Sarvarayudu, “Hierarchical classifier design using mutual information,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 4,1982, pp. 441–445.

    Article  Google Scholar 

  65. A.R. Smith and L.D. Erman, “Noah—A bottom-up word hypothesizer for largevocabulary speech understanding systems,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 3, 1981, pp. 41–51.

    Article  Google Scholar 

  66. S.P. Smith, “A window-width selection rule for kernel-based density estimation,” Technical Report, Northrop Research and Technology Center, Palos Verdes Peninsula, CA, 1986.

    Google Scholar 

  67. S.P. Smith and A.K. Jain, “An experiment on using the Friedman-Rafsky test to determine the multivariate normality of a data set,” Proceedings IEEE CVPR Conference, San Francisco, 1985, pp. 423–425.

    Google Scholar 

  68. S.P. Smith and A.K. Jain, “Testing for uniformity in multidimensional data,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 6, 1984, pp. 73–81.

    Article  Google Scholar 

  69. K.J. Supowit, “Topics in computational geometry,” Ph.D. thesis, Department of Computer Science, University of Illinois, Urbana, 1981.

    Google Scholar 

  70. P. H. Swain, S.B. Vardeman and J.C. Tilton, “Contextual classification of multispectral image data,” Pattern Recognition, Vol. 13, 1981, pp. 429–441.

    Article  Google Scholar 

  71. J.C. Tilton and J.P. Strong, “Analyzing remotely sensed data on the massively parallel processor,” Proceedings Seventh International Conference on Pattern Recognition, Montreal, 1974, pp. 398–400.

    Google Scholar 

  72. G. T. Toussaint, “The use of context in pattern recognition,” Pattern Recognition, Vol. 10, 1978, pp. 189–204.

    Article  MathSciNet  MATH  Google Scholar 

  73. G.T. Toussaint, “Pattern recognition and geometrical complexity,” Proceedings 5th International Conference on Pattern Recognition, Miami Beach, 1980, pp. 1324–1327.

    Google Scholar 

  74. G.V. Trunk, “A problem of dimensionality: A simple example,” IEEE Trans. Pattern Analysis and Machine Intelligence, Vol. 1, 1979, pp. 306–307.

    Article  Google Scholar 

  75. R.B. Urquhart, “Graph theoretical clustering based on limited neighborhood sets,” Pattern Recognition, Vol. 15, 1982, pp. 173–187.

    Article  MATH  Google Scholar 

  76. J. Van Ness, “On the dominance of non-parametric Bayes rule discriminant algorithms in high dimensions,” Pattern Recognition Journal, Vol. 12, 1980, pp. 355–368.

    Article  Google Scholar 

  77. N. Wyse, A.K. Jain and R. Dubes, “A critical review of intrinsic dimensionality algorithms,” in Pattern Recognition in Practice, E.S. Gelsema and L.N. Kanal (eds.), North Holland, 1980, pp. 415–425.

    Google Scholar 

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© 1987 Springer-Verlag Berlin Heidelberg

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Jain, A.K. (1987). Advances in Statistical Pattern Recognition. In: Devijver, P.A., Kittler, J. (eds) Pattern Recognition Theory and Applications. NATO ASI Series, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83069-3_1

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  • DOI: https://doi.org/10.1007/978-3-642-83069-3_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83071-6

  • Online ISBN: 978-3-642-83069-3

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