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Two Partitional Methods for Interval-Valued Data Using Mahalanobis Distances

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3315))

Abstract

Two dynamic cluster methods for interval data are presented: the first method furnish a partition of the input data and a corresponding prototype (a vector of intervals) for each class by optimizing an adequacy criterion based on Mahalanobis distances between vectors of intervals and the second is an adaptive version of the first method. In order to show the usefulness of these methods, synthetic and real interval data sets considered. The synthetic interval data sets are obtained from quantitative data sets drawn according to bi-variate normal distributions. The adaptive method outperforms the non-adaptive one concerning the average behaviour of a cluster quality measure.

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© 2004 Springer-Verlag Berlin Heidelberg

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de Souza, R.M.C.R., de Carvalho, F.A.T., Tenorio, C.P. (2004). Two Partitional Methods for Interval-Valued Data Using Mahalanobis Distances. In: Lemaître, C., Reyes, C.A., González, J.A. (eds) Advances in Artificial Intelligence – IBERAMIA 2004. IBERAMIA 2004. Lecture Notes in Computer Science(), vol 3315. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30498-2_45

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  • DOI: https://doi.org/10.1007/978-3-540-30498-2_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23806-5

  • Online ISBN: 978-3-540-30498-2

  • eBook Packages: Springer Book Archive

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