The Pearson correlation between pairwise distances and a binary indicator of whether two observations belong to different clusters. All within-cluster distances are paired with indicator 0, and all between-cluster distances with indicator 1. Values close to 1 indicate that between-cluster distances tend to be larger than within-cluster distances, suggesting well-separated clusters.
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():
Meta Information
Task type: “clust”
Range: \([-1, 1]\)
Minimize: FALSE
Average: macro
Required Prediction: “partition”
Required Packages: mlr3, mlr3cluster, cluster
See also
Dictionary of Measures: mlr3::mlr_measures
as.data.table(mlr_measures) for a complete table of all (also dynamically created) mlr3::Measure implementations.
Other cluster measures:
mlr_measures_clust.avg_between,
mlr_measures_clust.avg_within,
mlr_measures_clust.ch,
mlr_measures_clust.davies_bouldin,
mlr_measures_clust.dunn,
mlr_measures_clust.dunn2,
mlr_measures_clust.entropy,
mlr_measures_clust.silhouette,
mlr_measures_clust.wb_ratio,
mlr_measures_clust.wss