Characterizing Properties for Q-Clustering

Reza Bosagh Zadeh; Gunnar Carlsson

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arXiv · 1210.5664

Characterizing Properties for Q-Clustering

Reza Bosagh Zadeh·Gunnar Carlsson

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Abstract

We uniquely characterize two members of the Q-Clustering family in an axiomatic framework. We introduce properties that use known tree constructions for the purpose of characterization. To characterize the Max-Sum clustering algorithm, we use the Gomory-Hu construction, and to characterize Single-Linkage, we use the Maximum Spanning Tree. Although at first glance it seems these properties are `obviously' all that are necessary to characterize Max-Sum and Single-Linkage, we show that this is not the case, by investigating how subsets of properties interact. We conclude by proposing additions to the taxonomy of clustering paradigms currently in use.

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Reza Bosagh Zadeh, Gunnar Carlsson. 2012-10-20. Characterizing Properties for Q-Clustering. https://arxiv.org/abs/1210.5664

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