A Study of Variants of the Silhouette Validation Index

  • Victória Vargas ENCE / IBGE
  • Eduardo Amorim Anhanguera University
  • José André de M. Brito ENCE / IBGE
  • Gustavo S. Semaan INFES / UFF

Abstract


This paper aims to evaluate five variants of the silhouette index for their ability to detect good quality solutions to clustering problems. Five computational experiments were carried out, covering 51 diversified databases (natural and artificial). As dissimilarity measures, Euclidean and Manhattan distances were used, and for clustering algorithms PAM, DBSCAN, and Bisecting k-means. The results obtained indicate that the median-based variant is a good alternative to detect quality solutions.

Keywords: Data Analysis, Clustering Problems, Silhouette index

References

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Hruschka, E. R., Campello, R. J. G. B., and Castro, L. N. (2004). Silhouettes: A graphical aid to the interpretation and validation of cluster analysis. In IEEE International Conference on Data Mining, pages 403–406.

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Semaan, G. S. (2013). Algoritmos para o Problema de Agrupamento Automático. Tese de doutorado, Universidade Federal Fluminense, Niterói - RJ.
Published
2021-11-23
VARGAS, Victória; AMORIM, Eduardo; BRITO, José André de M.; SEMAAN, Gustavo S.. A Study of Variants of the Silhouette Validation Index. In: REGIONAL SCHOOL ON INFORMATICS OF RIO DE JANEIRO (ERI-RJ), 4. , 2021, Online. Anais [...]. Porto Alegre: Sociedade Brasileira de Computação, 2021 . p. 123-126. DOI: https://doi.org/10.5753/eri-rj.2021.18784.