# An Aposteriorical Clusterability Criterion for k-Means++ and Simplicity of Clustering

@article{Klopotek2017AnAC, title={An Aposteriorical Clusterability Criterion for k-Means++ and Simplicity of Clustering}, author={Mieczyslaw Alojzy Klopotek}, journal={SN Computer Science}, year={2017}, volume={1} }

In this paper, the notion of a well-clusterable data set is defined combining the point of view of the objective of k-means clustering algorithm (minimizing the centric spread of data elements) and common sense (clusters shall be separated by gaps). Conditions are identified under which the optimum of k-means objective coincides with a clustering under which the data is separated by predefined gaps. Two cases are investigated: when the whole clusters are separated by some gap and when only the…

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