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The ratio of the average within-cluster distance to the average between-cluster distance. The average within-cluster distance is the weighted mean of all pairwise distances within each cluster, and the average between-cluster distance is the mean of all pairwise distances between observations in different clusters. Lower values indicate compact clusters that are well separated from each other.

Details

If the task contains factor or ordered features, Gower distances (cluster::daisy()) are used instead of Euclidean distances.

Dictionary

This mlr3::Measure can be instantiated via the dictionary mlr3::mlr_measures or with the associated sugar function mlr3::msr():

mlr_measures$get("clust.wb_ratio")
msr("clust.wb_ratio")

Meta Information

  • Task type: “clust”

  • Range: \([0, \infty)\)

  • Minimize: TRUE

  • Average: macro

  • Required Prediction: “partition”

  • Required Packages: mlr3, mlr3cluster, cluster