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Interactively Displaying Ultrametric and Additive Trees

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Information and Classification

Part of the book series: Studies in Classification, Data Analysis and Knowledge Organization ((STUDIES CLASS))

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Abstract

Recent clustering procedures provide an ultrametric or additive tree representation of proximity data. Various operations can be performed on such trees without affecting the goodness of fit of the representation. In an ultrametric tree, subtrees can be rotated without changing the ultrametric tree distances. Additive trees are usually displayed as rooted trees, although the placement of the root is arbitrary. Commonly, a user wants to find the rotations of the subtrees and—with additive trees—the placement of the root that lead to the best interpretation of the tree representation. While some analytic procedures have been presented in the literature, none of them is entirely satisfactory. In this paper, a software system is described that allows the user to interactively manipulate an ultrametric or additive tree until—in his or her view—the best representation is found. This software system is implemented in a portable way using the X Window System.

Supported as “Bevoegdverklaard Navorser” of the Belgian “Nationaal Fonds voor Wetenschappelijk Onderzoek”.

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© 1993 Springer-Verlag Berlin · Heidelberg

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De Soete, G., Vermeulen, J. (1993). Interactively Displaying Ultrametric and Additive Trees. In: Opitz, O., Lausen, B., Klar, R. (eds) Information and Classification. Studies in Classification, Data Analysis and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50974-2_38

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  • DOI: https://doi.org/10.1007/978-3-642-50974-2_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56736-3

  • Online ISBN: 978-3-642-50974-2

  • eBook Packages: Springer Book Archive

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