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Recognition of Finite Structures with Application to Moving Objects Identification

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Artificial Intelligence and Soft Computing (ICAISC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6113))

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Abstract

Our aim is to discuss problems of structure recognition in the Bayesian setting, treating structures as special cases of relations. We start from a general problem statement, which is solvable by dynamic programming for linear structures. Then, we consider splitting the problem of structure recognition into a series of pairwise relations testing, which is applicable when on-line processing of intensive data streams is necessary. An appropriate neural network structure is also proposed and tested on a video stream.

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References

  1. Biehl, M., Mietzner, A.: Statistical mechanics of unsupervised structure recognition. J. Phys. A: Math. Gen. 27, 1885–1897 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  2. Blostein, D., Grabavec, A.: Recognition of mathematical notation. In: Wang, P.S.P., Bunke, H. (eds.) Handbook on Optical Character Recognition and Document Image Analysis. World Sci., Singapore (1996)

    Google Scholar 

  3. Bishop, C.: Neural Networks for Pattern Recognition. Oxford Univ. Press, Oxford (1995)

    Google Scholar 

  4. Devroye, L., Györfi, L.: Nonparametric Density Estimation. In: The L 1 View. Wiley, New York (1985)

    Google Scholar 

  5. Devroye, L., Györfi, L., Lugosi, G.: Probabilistic Theory of Pattern Recognition. Springer, New York (1996)

    MATH  Google Scholar 

  6. Duch, W., Setiono, R., Żurada, J.: Computational Intelligence Methods for Rule-Based Data Understanding. Proc. IEEE 92, 771–805 (2004)

    Article  Google Scholar 

  7. Fankhauser, P., Xu, Y.: An incremental approach to document structure recognition. Electronic Publishing 6(4), 1–12 (1993)

    Google Scholar 

  8. Friedman, N., Koller, D.: Being Bayesian about network structure: A Bayesian approach to structure discovery in Bayesian networks. Machine Learning 50, 95–126 (2003)

    Article  MATH  Google Scholar 

  9. Gonzalez, R., Thomason, M.: Syntactic pattern recognition: an introduction. Advanced Book Program. Addison-Wesley Pub. Co, Reading (1978)

    Google Scholar 

  10. Hastie, T., Tibshirani, R.: Classification by Pairwise Coupling. The Annals of Statistics 26, 451–471 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  11. Hu, T., Ingold, R.: A mixed approach toward an efficient logical structure recognition from document images. Electronic Publishing 6, 457–468 (1993)

    Google Scholar 

  12. Kallenberg, W., Ledwina, T., Rafajłowicz, E.: Testing bivariate independence and normality. Sankhya. Ser. A 59, 42–59 (1997)

    MATH  MathSciNet  Google Scholar 

  13. Karayiannis, N.B., Randolph-Gips, M.M.: On the Construction and Training of Reformulated Radial Basis Function Neural Networks. IEEE Trans. on Neural Networks 14, 835–846 (2003)

    Article  Google Scholar 

  14. Krzyżak, A., Skubalska-Rafajłowicz, E.: Combining Space-Filling Curves and Radial Basis Function Networks. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 229–234. Springer, Heidelberg (2004)

    Google Scholar 

  15. Kwok, T.Y., Yeung, D.Y.: Constructive algorithms for structure learning in feedforward neural networks for regression problems. IEEE Trans. Neural Networks 8, 630–645 (1997)

    Article  Google Scholar 

  16. Lathrop, R.H., Webster, T.A., Smith, T.F.: ARIADNE: pattern-directed inference and hierarchical abstraction in protein structure recognition. Communications of the ACM 30(11), 909–921 (1987)

    Article  MATH  Google Scholar 

  17. Lathrop, R.H., Rogers, R.G., Smith, T.F., White, V.J.: A Bayes-optimal Sequence-structure Theory that Unifies Protein Sequence-structure Recognition and Alignment. Bulletin of Mathematical Biology 60, 1039–1071 (1998)

    Article  MATH  Google Scholar 

  18. Li, S.Z.: Markov Random Filed Models in Computer Vision. In: Proc. European Conf. on Computer Vision, Stockholm, May, vol. B, pp. 361–370 (1994); bibitemp3 Michalski, R.S.: Discovering classification rules using variable valued logic system, VL1. In: Third International Joint Conference on Artificial Intelligence, pp. 162–172 (1973)

    Google Scholar 

  19. Parmentier, F., Belaid, A.: Logical Structure Recognition of Scientific Bibliographic References. In: ICDAR 1997, Ulm, Germany, August 18-20 (1997)

    Google Scholar 

  20. Pavlidis, T.: Structural pattern recognition. Springer, Berlin (1977)

    MATH  Google Scholar 

  21. Quinlan, J.R.: Learning logical definitions from relations. Machine Learning 5, 239–266 (1990)

    Google Scholar 

  22. Skubalska-Rafajłowicz, E.: Pattern Recognition Algorithms Based on Space-Filling Curves and Orthogonal Expansions. IEEE Trans. Inf. Th. 47, 1915–1927 (2001)

    Article  MATH  Google Scholar 

  23. Stankovic, I., Kroger, M., Hess, S.: Recognition and analysis of local structure in polycrystalline configurations. Comp. Physics Com. 145, 371–384 (2002)

    Article  MATH  Google Scholar 

  24. Wen, Z., Li, M., Li, Y., Guo, Y., Wang, K.: Delaunay triangulation with partial least squares projection to latent structures: a model for G-protein coupled receptors classification and fast structure recognition. Amino Acids (2006)

    Google Scholar 

  25. Xu, L., Krzyżak, A., Yuille, A.: On Radial Basis Function Nets and Kernel Regression: Statistical Consistency, Convergence Rates and Receptive Field Size. Neural Networks 4, 609–628 (1994)

    Article  Google Scholar 

  26. Ye, Y., Godzik, A.: Multiple flexible structure alignment using partial order graphs. Bioinformatics 21(10), 2362–2369 (2005)

    Article  Google Scholar 

  27. Zhong, P., Wang, R.: Using Combination of Statistical Models and Multilevel Structural Information for Detecting Urban Areas From a Single Gray-Level Image. IEEE Trans. Geoscience and Remote Sensing 45, 1469–1482 (2007)

    Article  Google Scholar 

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Rafajłowicz, E., Wietrzych, J. (2010). Recognition of Finite Structures with Application to Moving Objects Identification. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2010. Lecture Notes in Computer Science(), vol 6113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13208-7_57

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  • DOI: https://doi.org/10.1007/978-3-642-13208-7_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13207-0

  • Online ISBN: 978-3-642-13208-7

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