A popular method for selecting the number of clusters is based on
stability arguments: one chooses the number of clusters such that
the corresponding clustering results are most stable. In recent
years, a series of papers has analyzed the behavior of this method
from a theoretical point of view. However, the results are very
technical and difficult to interpret for non-experts. In this paper
the authors give a high-level overview about the existing
literature on clustering stability. In addition to presenting the
results in a slightly informal but accessible way, they relate them
to each other and discuss their different implications.
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