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Davies-Bouldin Index×Gap Statistic×
VakgebiedModelevaluatieModelevaluatie
FamilieMCDMMCDM
Jaar van ontstaan19792001
GrondleggerDavid L. Davies, Donald W. BouldinRobert Tibshirani, Guenther Walther, Trevor Hastie
TypeCluster quality metricStatistical criterion
Oorspronkelijke bronDavies, D. L., & Bouldin, D. W. (1979). A cluster separation measure. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1(2), 224-227. DOI ↗Tibshirani, R., Walther, G., & Hastie, T. (2001). Estimating the number of clusters in a data set via the gap statistic. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 63(2), 411-423. DOI ↗
AliassenDBI, Davies Bouldin indexgap index, Tibshirani gap statistic
Verwant55
SamenvattingThe Davies-Bouldin Index, introduced by Davies and Bouldin in 1979, is a metric for evaluating clustering quality based on the average similarity between each cluster and its most similar neighboring cluster. Lower values indicate better clustering, with a minimum of 0 representing perfectly separated, non-overlapping clusters.The Gap Statistic, developed by Tibshirani, Walther, and Hastie in 2001, is a principled statistical method for determining the optimal number of clusters in a dataset. It compares the observed within-cluster sum of squares to the expected value under a null hypothesis of no clustering structure, providing a theoretically grounded approach to cluster number selection.
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