Abstract
This paper proposes a statistical model for the dissimilarity changes (increments) between neighboring patterns which follow a 2-dimensional Gaussian distribution. We propose a novel clustering algorithm, using that statistical model, which automatically determines the appropriate number of clusters. We apply the algorithm to both synthetic and real data sets and compare it to a Gaussian mixture and to a previous algorithm which also used dissimilarity increments. Experimental results show that this new approach yields better results than the other two algorithms in most datasets.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Figueiredo, M.A.T., Jain, A.K.: Unsupervised learning of finite mixture models. IEEE Transactions on Pattern Analysis and Machine Intelligence 24(3), 381–396 (2002)
Fred, A., Jain, A.: Cluster validation using a probabilistic attributed graph. In: Proceedings of the 19th International Conference on Pattern Recognition, ICPR 2008 (2008)
Fred, A., Leitão, J.: A new cluster isolation criterion based on dissimilarity increments. IEEE Transactions on Pattern Analysis and Machine Intelligence 25(8), 944–958 (2003)
Jain, A.K., Murty, M.N., Flynn, P.J.: Data clustering: a review. ACM Computing Surveys 31(3), 264–323 (1999)
Johnson, N.L., Kotz, S., Balakrishnan, N.: Continuous Univariate Distributions, Applied Probability and Statistics, 2nd edn., vol. 1. John Wiley & Sons Ltd., Chichester (1994)
Lehmann, E.L., Romano, J.P.: Testing Statistical Hypotheses, 3rd edn. Springer Texts in Statistics. Springer, Heidelberg (2005)
Theodoridis, S., Koutroumbas, K.: Pattern Recognition, 2nd edn. Elsevier Academic Press, Amsterdam (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Aidos, H., Fred, A. (2011). On the Distribution of Dissimilarity Increments. In: Vitrià, J., Sanches, J.M., Hernández, M. (eds) Pattern Recognition and Image Analysis. IbPRIA 2011. Lecture Notes in Computer Science, vol 6669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21257-4_24
Download citation
DOI: https://doi.org/10.1007/978-3-642-21257-4_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21256-7
Online ISBN: 978-3-642-21257-4
eBook Packages: Computer ScienceComputer Science (R0)