An extensive comparative study of cluster validity indices. Arbelaitz, O., Gurrutxaga, I., Muguerza, J., Pérez, J. M., & Perona, I. Pattern Recognition, 46(1):243–256, January, 2013.
An extensive comparative study of cluster validity indices [link]Paper  doi  abstract   bibtex   
The validation of the results obtained by clustering algorithms is a fundamental part of the clustering process. The most used approaches for cluster validation are based on internal cluster validity indices. Although many indices have been proposed, there is no recent extensive comparative study of their performance. In this paper we show the results of an experimental work that compares 30 cluster validity indices in many different environments with different characteristics. These results can serve as a guideline for selecting the most suitable index for each possible application and provide a deep insight into the performance differences between the currently available indices.
@article{arbelaitz_extensive_2013,
	title = {An extensive comparative study of cluster validity indices},
	volume = {46},
	issn = {0031-3203},
	url = {https://www.sciencedirect.com/science/article/pii/S003132031200338X},
	doi = {10.1016/j.patcog.2012.07.021},
	abstract = {The validation of the results obtained by clustering algorithms is a fundamental part of the clustering process. The most used approaches for cluster validation are based on internal cluster validity indices. Although many indices have been proposed, there is no recent extensive comparative study of their performance. In this paper we show the results of an experimental work that compares 30 cluster validity indices in many different environments with different characteristics. These results can serve as a guideline for selecting the most suitable index for each possible application and provide a deep insight into the performance differences between the currently available indices.},
	language = {en},
	number = {1},
	urldate = {2021-10-21},
	journal = {Pattern Recognition},
	author = {Arbelaitz, Olatz and Gurrutxaga, Ibai and Muguerza, Javier and Pérez, Jesús M. and Perona, Iñigo},
	month = jan,
	year = {2013},
	keywords = {Cluster validity index, Comparative analysis, Crisp clustering, cluster validity, clustering},
	pages = {243--256},
}

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