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Parsimonious cluster systems

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Abstract

We introduce in this paper a new clustering structure, parsimonious cluster systems, which generalizes phylogenetic trees. We characterize it as the set of hypertrees stable under restriction and prove that this set is in bijection with a known dissimilarity model: chordal quasi-ultrametrics. We then present one possible way to graphically represent elements of this model.

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Correspondence to Alain Gély.

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Brucker, F., Gély, A. Parsimonious cluster systems. Adv Data Anal Classif 3, 189–204 (2009). https://doi.org/10.1007/s11634-009-0046-7

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  • DOI: https://doi.org/10.1007/s11634-009-0046-7

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