Theory of a Probabilistic-Dependence Measure of Dissimilarity Among Multiple Clusters

1. Duda, R.O., Hart, P.E., Stork, D.G.: Pattern Classification, 2nd edn. John Wiley & Sons, New York (2001)

   MATH  Google Scholar 

2. Xu, R., Wunsch-II, D.C.: Survey of clustering algorithms. IEEE Transactions on Neural Networks 16(3), 645–678 (2005)

   Article  Google Scholar 

3. Gokcay, E., Principle, J.C.: Information theoretic clustering. IEEE Transactions on Pattern Analysis and Machine Intelligence 24(2), 158–171 (2002)

   Article  Google Scholar 

4. Maulik, U., Bandyopadhyay, S.: Performance evaluation of some clustering algorithms and validity indices. IEEE Transactions on Pattern Analysis and Machine Intelligence 24(12), 1650–1654 (2002)

   Article  Google Scholar 

5. Webb, A.R.: Statistical Pattern Recognition, 2nd edn. John Wiley & Sons, New York (2002)

   Book  MATH  Google Scholar 

6. Yeung, D., Wang, X.: Improving performance of similarity-based clustering by feature weight learning. IEEE Transactions on Pattern Analysis and Machine Intelligence 24(4), 556–561 (2002)

   Article  MathSciNet  Google Scholar 

7. Fred, A.L., Leitão, J.M.: A new cluster isolation criterion based on dissimilarity increments. IEEE Transactions on Pattern Analysis and Machine Intelligence 25(8), 944–958 (2003)

   Article  Google Scholar 

8. Yang, M.S., Wu, K.L.: A similarity-based robust clustering method. IEEE Transactions on Pattern Analysis and Machine Intelligence 26(4), 434–448 (2004)

   Article  Google Scholar 

9. Tipping, M.E.: Deriving cluster analytic distance functions from gaussian mixture model. In: Proceedings of the 9th International Conference on Artificial Neural Networks, Edinburgh, UK, vol. 2, pp. 815–820. IEE (1999)

   Google Scholar 

10. Prieto, M.S., Allen, A.R.: A similarity metric for edge images. IEEE Transactions on Pattern Analysis and Machine Intelligence 25(10), 1265–1273 (2003)

    Article  Google Scholar 

11. Wei, J.: Markov edit distance. IEEE Transactions on Pattern Analysis and Machine Intelligence 26(3), 311–321 (2004)

    Article  Google Scholar 

12. Srivastava, A., Joshi, S.H., Mio, W., Liu, X.: Statistical shape analysis: Clustering, learning, and testing. IEEE Transactions on Pattern Analysis and Machine Intelligence 27(4), 590–602 (2005)

    Article  Google Scholar 

13. Österreicher, F.: On a class of perimeter-type distances of probability distributions. Cybernetics 32(4), 389–393 (1996)

    MATH  Google Scholar 

14. Topsøe, F.: Some inequalities for information divergence and related measures of discrimination. IEEE Transactions on Information Theory 46(4), 1602–1609 (2000)

    Article  Google Scholar 

15. Endres, D.M., Schindelin, J.E.: A new metric for probability distributions. IEEE Transactions on Information Theory 49(7), 1858–1860 (2003)

    Article  MathSciNet  Google Scholar 

16. Sanov, I.N.: On the probability of large deviations of random variables. Selected Translations in Mathematical Statistics and Probability 1, 213–244 (1961)

    MATH  MathSciNet  Google Scholar 

17. Dembo, A., Zeitouni, O.: Large Deviations Techniques and Applications, 2nd edn. Applications of Mathematics, vol. 38. Springer, New York (1998)

    MATH  Google Scholar 

18. Han, T.S., Kobayashi, K.: Mathematics of Information and Coding. Translations of Mathematical Monographs, vol. 203. American Mathematical Society, Providence (2002)

    MATH  Google Scholar 

19. Cover, T.M., Thomas, J.A.: Elements of Information Theory, 1st edn. Wiley series in telecommunications. John Wiley & Sons, Inc., New York (1991)

    Book  MATH  Google Scholar 

20. Ward, J.H.: Hierarchical grouping to optimize an objective function. Journal of the American Statistical Association 58(301), 236–244 (1963)

    Article  MathSciNet  Google Scholar 

21. Ward, J.H., Hook, M.E.: Application of an hierarchical grouping procedure to a problem of grouping profiles. Educational Psychological Measurement 23(1), 69–82 (1963)

    Article  Google Scholar 

22. Gärtner, J.: On large deviations from the invariant measure. Theory of Probability and Its Applications 22, 24–39 (1977)

    Article  MATH  Google Scholar 

23. Ellis, R.S.: Large deviations for a general class of random vectors. The Annals of Probability 12(5), 1–12 (1984)

    Article  MATH  MathSciNet  Google Scholar 

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