Table 5 Clustering evaluations for artificial data.
Instances | k | \(d_{sos}\) | Extrinsic measurements | Intrinsic measurements | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|
AMI | ARS | h | c | NMI | FMS | CHC | DBI | \(S_{score}\) | |||
3-spiral | 3 | 30,109.4 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 5.80 | 5.88 | 0.00 |
3-spiral | 2 | 19,577.3 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.40 | 184.66 | 1.17 | 0.35 |
3-spiral | 3 | 12,286.9 | \(-\)0.01 | \(-\)0.01 | 0.00 | 0.00 | 0.00 | 0.33 | 238.31 | 0.88 | 0.36 |
3-spiral | 4 | 9,200.4 | \(-\)0.01 | \(-\)0.01 | 0.00 | 0.00 | 0.00 | 0.28 | 245.93 | 0.88 | 0.35 |
3-spiral | 5 | 7,352.1 | 0.00 | 0.00 | 0.01 | 0.01 | 0.01 | 0.26 | 249.36 | 0.89 | 0.35 |
3MC | 3 | 2,056.3 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 628.05 | 0.71 | 0.50 |
3MC | 2 | 3,204.8 | 0.45 | 0.33 | 0.37 | 0.57 | 0.45 | 0.61 | 665.38 | 0.72 | 0.53 |
3MC | 3 | 1,929.4 | 0.81 | 0.80 | 0.81 | 0.80 | 0.81 | 0.87 | 682.43 | 0.70 | 0.50 |
3MC | 4 | 1,221.7 | 0.73 | 0.61 | 0.83 | 0.65 | 0.73 | 0.73 | 793.14 | 0.71 | 0.49 |
3MC | 5 | 786.8 | 0.76 | 0.64 | 0.94 | 0.64 | 0.76 | 0.75 | 975.91 | 0.63 | 0.53 |
Blobs | 3 | 149.6 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 575.43 | 0.61 | 0.54 |
Blobs | 2 | 337.0 | 0.58 | 0.50 | 0.47 | 0.77 | 0.58 | 0.72 | 346.80 | 0.79 | 0.48 |
Blobs | 3 | 144.8 | 0.86 | 0.90 | 0.86 | 0.86 | 0.86 | 0.94 | 599.50 | 0.59 | 0.56 |
Blobs | 4 | 123.0 | 0.76 | 0.76 | 0.85 | 0.69 | 0.76 | 0.84 | 486.26 | 0.84 | 0.46 |
Blobs | 5 | 105.5 | 0.69 | 0.62 | 0.85 | 0.59 | 0.70 | 0.74 | 436.16 | 0.98 | 0.36 |
Flame | 2 | 3,543.5 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 110.39 | 1.16 | 0.33 |
Flame | 2 | 3,123.8 | 0.40 | 0.45 | 0.41 | 0.39 | 0.40 | 0.74 | 157.21 | 1.12 | 0.38 |
Flame | 3 | 1,913.6 | 0.48 | 0.46 | 0.64 | 0.39 | 0.49 | 0.70 | 202.72 | 0.80 | 0.41 |
Flame | 4 | 1,211.5 | 0.54 | 0.43 | 0.83 | 0.40 | 0.54 | 0.67 | 258.16 | 0.70 | 0.44 |
Gaussianl | 2 | 0.6 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 2,000.66 | 0.19 | 0.86 |
Gaussianl | 2 | 0.6 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 2,000.66 | 0.19 | 0.86 |
Gaussian1 | 3 | 0.5 | 0.80 | 0.75 | 1.00 | 0.67 | 0.80 | 0.87 | 1,352.79 | 0.69 | 0.63 |
Gaussian1 | 4 | 0.3 | 0.68 | 0.54 | 1.00 | 0.52 | 0.68 | 0.73 | 1,205.24 | 0.95 | 0.38 |
Insect | 3 | 7,671.2 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 45.77 | 0.83 | 0.39 |
Insect | 2 | 10,683.5 | 0.55 | 0.47 | 0.46 | 0.75 | 0.57 | 0.69 | 60.27 | 0.58 | 0.55 |
Iinsect | 3 | 6,002.8 | 0.62 | 0.62 | 0.64 | 0.65 | 0.64 | 0.74 | 62.25 | 0.70 | 0.47 |
Insect | 4 | 4,236.1 | 0.57 | 0.45 | 0.69 | 0.55 | 0.61 | 0.60 | 60.24 | 0.80 | 0.44 |
Insect | 5 | 3,075.3 | 0.57 | 0.47 | 0.75 | 0.53 | 0.62 | 0.61 | 62.20 | 0.63 | 0.49 |
Jain | 2 | 29,856.3 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 279.48 | 0.90 | 0.40 |
Jain | 2 | 22,208.8 | 0.36 | 0.32 | 0.40 | 0.33 | 0.37 | 0.70 | 503.48 | 0.78 | 0.50 |
Jain | 3 | 12,650.1 | 0.36 | 0.26 | 0.53 | 0.28 | 0.36 | 0.61 | 580.56 | 0.70 | 0.49 |
Jain | 4 | 8,763.1 | 0.41 | 0.25 | 0.69 | 0.29 | 0.41 | 0.58 | 611.76 | 0.79 | 0.48 |
Llsun | 3 | 449.4 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 384.44 | 0.71 | 0.48 |
Lsun | 2 | 670.3 | 0.65 | 0.67 | 0.54 | 0.81 | 0.65 | 0.82 | 385.69 | 0.94 | 0.46 |
Lsun | 3 | 381.6 | 0.54 | 0.44 | 0.54 | 0.54 | 0.54 | 0.64 | 487.95 | 0.76 | 0.50 |
Lsun | 4 | 202.5 | 0.72 | 0.59 | 0.83 | 0.64 | 0.72 | 0.73 | 728.30 | 0.56 | 0.57 |
Lsun | 5 | 143.9 | 0.80 | 0.65 | 1.00 | 0.67 | 0.80 | 0.77 | 806.96 | 0.58 | 0.57 |
Pathbased | 3 | 22,689.2 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 51.91 | 2.53 | 0.26 |
Pathbased | 2 | 13,638.3 | 0.49 | 0.40 | 0.40 | 0.63 | 0.49 | 0.65 | 371.06 | 0.75 | 0.52 |
Pathbased | 3 | 8,957.9 | 0.54 | 0.46 | 0.51 | 0.58 | 0.55 | 0.66 | 359.10 | 0.67 | 0.54 |
Pathbased | 4 | 7,230.3 | 0.46 | 0.38 | 0.50 | 0.43 | 0.47 | 0.58 | 319.18 | 0.87 | 0.44 |
Pathbased | 5 | 5,901.9 | 0.46 | 0.41 | 0.55 | 0.41 | 0.47 | 0.58 | 308.88 | 0.94 | 0.38 |
Zelnik1 | 3 | 13.5 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 0.01 | 120.43 | \(-\)0.01 |
Zelnik1 | 2 | 9.6 | 0.12 | 0.03 | 0.10 | 0.16 | 0.12 | 0.46 | 120.66 | 1.30 | 0.31 |
Zelnik1 | 3 | 6.9 | 0.16 | 0.05 | 0.16 | 0.16 | 0.16 | 0.40 | 142.07 | 1.06 | 0.33 |
Zelnik1 | 4 | 5.5 | 0.20 | 0.10 | 0.23 | 0.18 | 0.21 | 0.39 | 143.76 | 1.07 | 0.33 |
Zelnik1 | 5 | 4.1 | 0.38 | 0.20 | 0.45 | 0.34 | 0.38 | 0.46 | 166.24 | 0.84 | 0.40 |
Zelnik2 | 3 | 27.2 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 50.53 | 2.28 | 0.47 |
Zelnik2 | 2 | 18.9 | 0.50 | 0.42 | 0.41 | 0.65 | 0.50 | 0.67 | 279.02 | 0.70 | 0.57 |
Zelnik2 | 3 | 11.9 | 0.54 | 0.47 | 0.50 | 0.60 | 0.55 | 0.67 | 309.26 | 0.60 | 0.63 |
Zelnik2 | 4 | 8.7 | 0.55 | 0.49 | 0.55 | 0.56 | 0.56 | 0.68 | 317.89 | 0.59 | 0.65 |
Zelnik2 | 5 | 6.4 | 0.61 | 0.57 | 0.66 | 0.57 | 0.61 | 0.71 | 350.92 | 0.60 | 0.68 |
Zelnik6 | 3 | 6.0 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 191.44 | 1.56 | 0.57 |
Zelnik6 | 2 | 3.8 | 0.60 | 0.58 | 0.49 | 0.76 | 0.60 | 0.77 | 751.29 | 0.35 | 0.73 |
Zelnik6 | 3 | 2.5 | 0.64 | 0.65 | 0.58 | 0.71 | 0.64 | 0.79 | 631.33 | 0.51 | 0.74 |
Zelnik6 | 4 | 1.4 | 0.67 | 0.71 | 0.66 | 0.69 | 0.67 | 0.82 | 824.47 | 0.42 | 0.76 |
Zelnik6 | 5 | 1.1 | 0.68 | 0.73 | 0.70 | 0.67 | 0.68 | 0.83 | 806.81 | 0.47 | 0.74 |