Minimum adjusted Rand index for two clusterings of a given size
Machine Learning
2020-12-10 v3 Machine Learning
Abstract
The adjusted Rand index (ARI) is commonly used in cluster analysis to measure the degree of agreement between two data partitions. Since its introduction, exploring the situations of extreme agreement and disagreement under different circumstances has been a subject of interest, in order to achieve a better understanding of this index. Here, an explicit formula for the lowest possible value of the ARI for two clusterings of given sizes is shown, and moreover a specific pair of clusterings achieving such a bound is provided.
Cite
@article{arxiv.2002.03677,
title = {Minimum adjusted Rand index for two clusterings of a given size},
author = {José E. Chacón and Ana I. Rastrojo},
journal= {arXiv preprint arXiv:2002.03677},
year = {2020}
}
Comments
9 pages