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Table 5

Benchmark of different clustering algorithms separated by stellar group.

D N H C V S

All 31 clusters (177 stars) K-Means++ 5 0.78 0.68 0.72 0.29 100%
Affinity prop. 5 29 0.77 0.69 0.72 0.30 100%
DBSCAN 5 30 0.48 0.70 0.57 0.03 100%
Mitschang (0.68/0) 17* 42 0.85 0.66 0.74 0.11 100%
Mitschang (0.68/2) 17* 32 0.84 0.66 0.74 0.12 89%
Mitschang (0.90/0) 17* 42 0.86 0.66 0.75 0.11 97%
Mitschang (0.90/2) 17* 32 0.84 0.66 0.74 0.13 86%

Dwarfs 11 clusters (60 stars) K-Means++ 5 0.83 0.63 0.72 0.32 100%
Affinity prop. 5 13 0.85 0.61 0.71 0.31 100%
DBSCAN 5 13 0.59 0.69 0.64 0.01 100%
Mitschang (0.68/0) 17* 11 0.82 0.59 0.69 0.07 98%
Mitschang (0.68/2) 17* 10 0.81 0.59 0.68 0.11 95%
Mitschang (0.90/0) 17* 11 0.84 0.59 0.69 0.09 90%
Mitschang (0.90/2) 17* 10 0.83 0.58 0.68 0.13 87%

Giants 26 clusters (117 stars) K-Means++ 5 31 0.81 0.74 0.78 0.28 100%
Affinity prop. 5 24 0.79 0.74 0.76 0.28 100%
DBSCAN 5 28 0.66 0.83 0.74 0.06 100%
Mitschang (0.68/0) 17* 31 0.84 0.70 0.77 0.12 100%
Mitschang (0.68/2) 17* 21 0.82 0.71 0.76 0.14 83%
Mitschang (0.90/0) 17* 31 0.84 0.70 0.77 0.12 100%
Mitschang (0.90/2) 17* 21 0.82 0.71 0.76 0.14 83%

Notes.The number of dimension (D) refers to the number of principal components used, except those marked with The number of predicted clusters (N) is not reported for the K-Means++ algorithms because it is one of the parameters of the method and the real number was used. The V-Measure is calculated from the homogeneity (H) and completeness (C) values. The silhouette coefficient (S) and the number of classified stars () are reported in the last two columns.

(*)

where the non-transformed abundances were used.

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