Benchmarks — Detailed Results

In one of the above sections, we have summarised the AR indices based on the datasets from the Benchmark Suite for Clustering Algorithms (Version 1.0) [12]. In this section, we present more detailed results for some other partition similarity measures implemented in the genieclust package: Fowlkes–Mallows [8], adjusted Rand [20], adjusted and normalised mutual information [34], normalised pivoted accuracy (which is based on set-matching classification rate), normalised clustering accuracy [15], and pair sets index [32]; for more details, see the API documentation of genieclust.compare_partitions. In each case, a score of 1.0 denotes perfect agreement between the clustering results and the reference partitions.

At the preprocessing stage, features with variance of 0 were removed. Every dataset has been centred at 0 and scaled so that is has total variance of 1. Then, a tiny bit of Gaussian noise has been added to each item. Clustering is performed with respect to the Euclidean distance (wherever applicable).

All raw results can be found here.

Small Datasets

nca

Summary statistics for nca (best=1.0):

count

mean

std

min

25%

50%

75%

max

Average linkage

73

0.6

0.34

0

0.34

0.64

0.96

1

Birch_0.01

73

0.67

0.3

0.01

0.44

0.76

0.96

1

Complete linkage

73

0.6

0.3

0.02

0.41

0.57

0.83

1

Gaussian mixtures

73

0.72

0.32

0.01

0.53

0.85

0.99

1

Genie_0.1

73

0.81

0.24

0

0.7

0.93

1

1

Genie_0.3

73

0.82

0.24

0

0.64

0.95

1

1

Genie_0.5

73

0.79

0.26

0.15

0.63

0.94

1

1

ITM

73

0.77

0.22

0.09

0.67

0.8

0.99

1

K-means

73

0.67

0.3

0.01

0.46

0.7

0.97

1

Single linkage

73

0.44

0.43

0

0.01

0.3

1

1

Spectral_RBF_5

72

0.69

0.34

0

0.44

0.84

1

1

Ward linkage

73

0.67

0.29

0.05

0.44

0.78

0.95

1

Ranks for nca (best=1):

count

mean

std

min

25%

50%

75%

max

Average linkage

72

6.7

3.7

1

4

8

10

12

Birch_0.01

72

5.5

3.2

1

2

6

8

12

Complete linkage

72

7.8

2.8

1

7

8

10

12

Gaussian mixtures

72

4.6

3.9

1

1

3.5

7.2

12

Genie_0.1

72

3.5

3.3

1

1

2

4.2

11

Genie_0.3

72

3.8

3.5

1

1

2

7

12

Genie_0.5

72

4.4

4

1

1

2

9

11

ITM

72

5.1

3.7

1

1

5

8.2

12

K-means

72

5.2

3.6

1

1

5.5

8

12

Single linkage

72

8.1

5

1

1

12

12

12

Spectral_RBF_5

72

5.4

3.8

1

1

6

9

12

Ward linkage

72

5.8

3.4

1

2.8

6

8

12

Raw results for nca (best=1.0):

Average linkage

Birch_0.01

Complete linkage

Gaussian mixtures

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Spectral_RBF_5

Ward linkage

fcps/atom

0.31

0.31

0.29

0.17

1

1

1

1

0.43

1

1

0.31

fcps/chainlink

0.52

0.53

0.56

0.95

1

1

1

1

0.31

1

1

0.53

fcps/engytime

0.23

0.88

0.21

0.99

0.92

0.92

0.92

0.91

0.92

0

0.96

0.86

fcps/hepta

1

1

1

1

1

1

1

0.94

1

1

1

1

fcps/lsun

0.61

0.66

0.66

1

1

1

1

1

0.7

1

0.86

0.64

fcps/target

0.86

0.84

0.88

0.84

1

1

1

1

0.84

1

1

0.83

fcps/tetra

1

0.98

0.99

1

1

1

1

1

1

0.01

1

0.98

fcps/twodiamonds

1

1

0.99

1

0.99

0.99

0.99

0.99

1

0

1

1

fcps/wingnut

1

1

1

0.93

1

1

1

1

0.93

1

0.88

0.78

graves/dense

0.96

0.96

0.51

1

0.98

0.98

0.98

1

0.9

0.03

0.96

0.96

graves/fuzzyx

0.86

0.95

0.97

1

0.84

0.72

0.63

0.97

1

0

0.78

0.88

graves/line

0.37

0.37

0.36

1

0.5

1

1

0.6

0.46

1

1

0.25

graves/parabolic

0.77

0.76

0.77

0.73

0.9

0.9

0.9

0.8

0.77

0

0.81

0.79

graves/ring

0.34

0.34

0.46

0.17

1

1

1

1

0.01

1

1

0.34

graves/ring_noisy

0

0.34

0.52

0.16

1

1

1

1

0.41

0

1

0.39

graves/ring_outliers

0.58

0.33

0.56

0.31

1

1

1

1

0.57

1

1

0.34

graves/zigzag

0.69

0.74

0.57

0.98

1

1

1

0.87

0.7

1

0.8

0.64

graves/zigzag_noisy

0.65

0.77

0.58

0.95

0.88

1

1

0.75

0.64

0.5

0.78

0.79

graves/zigzag_outliers

0.5

0.68

0.57

0.99

1

1

1

0.91

0.62

0.5

0.4

0.62

other/chameleon_t4_8k

0.64

0.62

0.53

0.59

0.72

1

0.8

0.78

0.61

0

0.61

0.58

other/chameleon_t5_8k

1

1

0.8

1

1

1

0.8

0.69

1

0

1

1

other/chameleon_t7_10k

0.59

0.62

0.56

0.59

0.73

0.87

1

0.75

0.54

0

0.55

0.64

other/chameleon_t8_8k

0.45

0.49

0.48

0.59

0.67

0.48

0.73

0.62

0.52

0

0.5

0.48

other/hdbscan

0.38

0.69

0.52

0.83

0.98

0.78

0.79

0.89

0.77

0

0.45

0.9

other/iris

0.86

0.84

0.76

0.95

0.94

0.94

0.55

0.94

0.84

0.52

0.85

0.84

other/iris5

0.86

0.84

0.76

0.95

0.41

0.41

0.94

0.28

0.84

0.52

0.85

0.84

other/square

0.39

0.01

0.41

0.19

1

1

1

1

0.17

1

0.41

0.5

sipu/a1

0.96

0.96

0.96

0.98

0.97

0.91

0.84

0.82

0.98

0.37

0.97

0.95

sipu/a2

0.97

0.97

0.95

0.98

0.97

0.94

0.83

0.83

0.98

0.3

0.93

0.96

sipu/a3

0.97

0.97

0.96

0.96

0.98

0.95

0.84

0.83

0.96

0.25

0.95

0.97

sipu/aggregation

1

0.78

0.75

1

0.58

0.58

0.88

0.66

0.75

0.66

1

0.78

sipu/compound

0.67

0.87

0.67

0.84

0.84

0.87

0.76

0.79

0.81

0.67

0.77

0.87

sipu/d31

0.94

0.96

0.96

0.97

0.97

0.93

0.76

0.85

0.98

0.24

0.97

0.96

sipu/flame

0.74

0.59

0.21

0.68

1

1

1

0.68

0.74

0.02

0.91

0.59

sipu/jain

0.79

0.81

0.79

0.43

0.49

1

1

0.71

0.7

0.27

0.81

0.81

sipu/pathbased

0.63

0.67

0.56

0.61

0.98

0.98

0.76

0.68

0.65

0.01

0.65

0.67

sipu/r15

1

1

1

1

0.99

0.99

1

0.99

1

1

1

1

sipu/s1

0.99

0.99

0.98

0.99

0.99

0.99

0.99

0.8

0.99

0.43

0.99

0.99

sipu/s2

0.95

0.95

0.83

0.97

0.95

0.95

0.83

0.86

0.97

0

0.97

0.95

sipu/s3

0.66

0.8

0.57

0.85

0.82

0.76

0.63

0.76

0.84

0

0.84

0.81

sipu/s4

0.59

0.68

0.52

0.79

0.77

0.73

0.54

0.67

0.78

0

0.69

0.68

sipu/spiral

0.04

0.07

0.06

0.03

1

1

1

0.83

0.01

1

0.02

0.07

sipu/unbalance

1

1

0.8

1

0.24

0.29

0.35

0.22

1

0.86

1

1

uci/ecoli

0.5

0.52

0.47

0.51

0.42

0.44

0.4

0.46

0.57

0.2

0.48

0.52

uci/glass

0.08

0.31

0.28

0.3

0.39

0.42

0.32

0.43

0.37

0.06

0.23

0.34

uci/ionosphere

0.01

0.44

0.02

0.65

0.41

0.41

0.15

0.36

0.44

0.01

0.01

0.44

uci/sonar

0.05

0.05

0.04

0.09

0

0

0.16

0.09

0.11

0.01

0.01

0.05

uci/statlog

0

0.45

0.17

0.53

0.74

0.59

0.51

0.6

0.43

0

nan

0.41

uci/wdbc

0.09

0.41

0.09

0.8

0.45

0.4

0.4

0.8

0.61

0

0

0.41

uci/wine

0.34

0.53

0.48

0.92

0.58

0.58

0.22

0.57

0.54

0.04

0.36

0.53

uci/yeast

0.19

0.37

0.3

0.32

0.34

0.33

0.28

0.33

0.38

0.14

0.16

0.35

wut/circles

1

1

1

1

1

1

1

1

1

1

1

1

wut/cross

0.03

0.17

0.32

0.48

0.87

0.68

0.38

0.44

0.39

0

0.01

0.31

wut/graph

0.56

0.58

0.56

0.93

0.63

0.59

0.45

0.63

0.59

0.07

0.58

0.62

wut/isolation

0.03

0.04

0.02

0.01

1

1

1

1

0.01

1

0.01

0.05

wut/labirynth

0.59

0.8

0.7

0.66

0.74

0.62

0.71

0.7

0.56

0.6

0.56

0.55

wut/mk1

1

1

0.98

1

1

1

1

0.68

1

0.5

1

1

wut/mk2

0.07

0.11

0.09

0.09

1

1

1

1

0.09

1

0.08

0.07

wut/mk3

0.5

0.92

0.92

0.94

0.88

0.88

0.58

0.68

0.94

0

0.94

0.93

wut/mk4

0.18

0.31

0.42

0.55

1

1

1

0.74

0.37

1

0.39

0.36

wut/olympic

0.27

0.26

0.21

0.2

0.32

0.29

0.25

0.36

0.22

0

0.26

0.21

wut/smile

0.99

0.86

0.63

0.5

0.55

1

1

0.7

0.86

1

1

0.88

wut/stripes

0.05

0.04

0.11

0.11

1

1

1

1

0.11

1

0.11

0.12

wut/trajectories

1

1

0.74

1

1

1

1

1

1

1

1

1

wut/trapped_lovers

0.58

0.61

0.72

0.61

0.76

1

1

0.76

0.64

1

0.93

0.65

wut/twosplashes

0.05

0.53

0.47

0.82

0.71

0.71

0.71

0.86

0.53

0.01

0.53

0.44

wut/windows

0.8

0.8

0.32

0.82

0.57

0.57

1

0.36

0.69

1

0.3

0.79

wut/x1

1

1

1

1

1

1

1

1

1

1

1

1

wut/x2

0.65

0.98

1

0.87

0.87

0.87

0.59

0.87

0.98

0.01

0.34

0.98

wut/x3

0.94

0.99

0.74

0.96

0.93

0.94

0.94

0.6

1

0.03

0.54

0.99

wut/z1

0.32

0.27

0.36

0.11

0.5

0.5

0.3

0.5

0.31

0.06

0.33

0.27

wut/z2

0.75

0.88

0.73

1

0.88

0.64

0.64

0.88

0.86

0.5

0.99

0.84

wut/z3

1

0.99

0.95

0.99

0.7

0.49

0.94

0.83

1

0.66

0.98

1

ar

Summary statistics for ar (best=1.0):

count

mean

std

min

25%

50%

75%

max

Average linkage

73

0.51

0.38

0

0.11

0.51

0.93

1

Birch_0.01

73

0.55

0.36

0

0.22

0.56

0.93

1

Complete linkage

73

0.48

0.34

0

0.21

0.4

0.79

1

Gaussian mixtures

73

0.65

0.37

0

0.4

0.82

0.98

1

Genie_0.1

73

0.74

0.31

0

0.53

0.88

1

1

Genie_0.3

73

0.78

0.27

0

0.59

0.94

1

1

Genie_0.5

73

0.77

0.3

0

0.66

0.92

1

1

ITM

73

0.68

0.27

0

0.53

0.69

0.99

1

K-means

73

0.55

0.35

0

0.2

0.51

0.95

1

Single linkage

73

0.44

0.45

0

0

0.32

1

1

Spectral_RBF_5

72

0.63

0.37

0

0.33

0.73

0.99

1

Ward linkage

73

0.54

0.35

0

0.22

0.54

0.91

1

Ranks for ar (best=1):

count

mean

std

min

25%

50%

75%

max

Average linkage

72

6.6

3.5

1

4.8

7

9.2

12

Birch_0.01

72

5.8

2.9

1

4

6

8

12

Complete linkage

72

7.7

3.2

1

6

8

11

12

Gaussian mixtures

72

4.2

3.6

1

1

3

7

12

Genie_0.1

72

3.8

3.3

1

1

3

6

12

Genie_0.3

72

3.3

3

1

1

2

5

11

Genie_0.5

72

4.2

3.9

1

1

2

8

11

ITM

72

5.4

3.9

1

1

5

9

12

K-means

72

5.6

3.8

1

1

6

9

12

Single linkage

72

7.4

5.1

1

1

11

12

12

Spectral_RBF_5

72

5.2

3.5

1

1

6

8

11

Ward linkage

72

6

3

1

4

6

8

12

Raw results for ar (best=1.0):

Average linkage

Birch_0.01

Complete linkage

Gaussian mixtures

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Spectral_RBF_5

Ward linkage

fcps/atom

0.1

0.1

0.08

0.03

1

1

1

1

0.18

1

1

0.1

fcps/chainlink

0.27

0.28

0.31

0.91

1

1

1

1

0.09

1

1

0.28

fcps/engytime

0.05

0.78

0.04

0.98

0.84

0.84

0.84

0.83

0.85

0

0.92

0.75

fcps/hepta

1

1

1

1

1

1

1

0.9

1

1

1

1

fcps/lsun

0.36

0.4

0.4

1

1

1

1

1

0.44

1

0.8

0.37

fcps/target

0.15

0.64

0.21

0.65

1

1

1

1

0.63

1

1

0.64

fcps/tetra

0.99

0.97

0.99

1

1

1

1

1

1

0

1

0.97

fcps/twodiamonds

0.99

0.99

0.99

1

0.98

0.98

0.98

0.99

1

0

1

1

fcps/wingnut

1

1

1

0.86

1

1

1

1

0.86

1

0.78

0.6

graves/dense

0.92

0.92

0.26

1

0.96

0.96

0.96

1

0.81

0

0.92

0.92

graves/fuzzyx

0.74

0.9

0.94

1

0.73

0.5

0.4

0.95

1

0

0.59

0.78

graves/line

0

0

0

1

0.02

1

1

0.12

0

1

1

0

graves/parabolic

0.6

0.57

0.59

0.54

0.81

0.81

0.81

0.64

0.59

0

0.66

0.62

graves/ring

0.11

0.12

0.21

0.03

1

1

1

1

0

1

1

0.12

graves/ring_noisy

0

0.11

0.27

0.02

1

1

1

1

0.16

0

1

0.15

graves/ring_outliers

0.63

0.63

0.34

0.62

1

1

1

1

0.62

1

1

0.63

graves/zigzag

0.53

0.62

0.36

0.96

1

1

1

0.78

0.53

1

0.68

0.54

graves/zigzag_noisy

0.52

0.64

0.52

0.9

0.77

1

1

0.54

0.51

0.47

0.63

0.66

graves/zigzag_outliers

0.31

0.51

0.33

0.98

1

1

1

0.83

0.44

0.48

0.34

0.39

other/chameleon_t4_8k

0.64

0.62

0.55

0.56

0.83

1

0.93

0.84

0.6

0

0.63

0.61

other/chameleon_t5_8k

1

1

0.73

1

1

1

0.83

0.59

1

0

1

1

other/chameleon_t7_10k

0.45

0.44

0.37

0.4

0.53

0.7

1

0.53

0.42

0

0.38

0.43

other/chameleon_t8_8k

0.37

0.39

0.33

0.44

0.61

0.64

0.71

0.57

0.37

0

0.36

0.37

other/hdbscan

0.43

0.63

0.46

0.82

0.97

0.71

0.71

0.75

0.64

0

0.33

0.84

other/iris

0.76

0.73

0.64

0.9

0.89

0.89

0.56

0.89

0.73

0.56

0.75

0.73

other/iris5

0.56

0.51

0.34

0.82

0.59

0.59

0.79

0.52

0.51

0.15

0.53

0.51

other/square

0.15

0

0.17

0.04

1

1

1

1

0.03

1

0.17

0.25

sipu/a1

0.93

0.93

0.92

0.96

0.94

0.9

0.83

0.77

0.97

0.44

0.94

0.91

sipu/a2

0.93

0.94

0.91

0.96

0.95

0.92

0.83

0.77

0.97

0.35

0.91

0.92

sipu/a3

0.94

0.94

0.92

0.95

0.96

0.94

0.82

0.77

0.95

0.32

0.93

0.94

sipu/aggregation

1

0.82

0.78

1

0.48

0.57

0.88

0.61

0.76

0.8

0.99

0.81

sipu/compound

0.91

0.88

0.91

0.91

0.78

0.78

0.88

0.62

0.76

0.93

0.87

0.88

sipu/d31

0.91

0.93

0.92

0.95

0.94

0.9

0.71

0.8

0.95

0.17

0.94

0.92

sipu/flame

0.44

0.22

0

0.34

1

1

1

0.35

0.48

0.01

0.83

0.22

sipu/jain

0.78

0.51

0.78

0

0.04

1

1

0.32

0.32

0.26

0.51

0.51

sipu/pathbased

0.59

0.54

0.41

0.6

0.97

0.97

0.7

0.54

0.5

0

0.6

0.54

sipu/r15

1

1

1

1

0.99

0.99

1

0.99

1

1

1

1

sipu/s1

0.98

0.99

0.97

0.99

0.99

0.99

0.99

0.76

0.99

0.46

0.99

0.98

sipu/s2

0.91

0.9

0.79

0.94

0.92

0.92

0.78

0.77

0.94

0

0.94

0.91

sipu/s3

0.6

0.68

0.51

0.73

0.69

0.67

0.56

0.61

0.72

0

0.71

0.68

sipu/s4

0.49

0.56

0.44

0.64

0.62

0.59

0.47

0.55

0.63

0

0.57

0.55

sipu/spiral

0

0

0

0

1

1

1

0.73

0

1

0

0

sipu/unbalance

1

1

0.61

1

0.57

0.62

0.78

0.53

1

1

1

1

uci/ecoli

0.74

0.49

0.62

0.61

0.36

0.46

0.66

0.33

0.46

0.04

0.35

0.49

uci/glass

0.02

0.25

0.23

0.24

0.12

0.25

0.22

0.23

0.27

0.01

0.22

0.26

uci/ionosphere

0

0.19

0.01

0.4

0.21

0.21

0

0.09

0.18

0

0

0.19

uci/sonar

0.01

0

0

0

0

0

0.01

0

0.01

0

0

0

uci/statlog

0

0.33

0.1

0.47

0.62

0.52

0.47

0.53

0.36

0

nan

0.31

uci/wdbc

0.05

0.29

0.05

0.71

0.09

0.28

0.28

0.63

0.49

0

0

0.29

uci/wine

0.29

0.37

0.37

0.82

0.36

0.36

0.25

0.39

0.37

0.01

0.32

0.37

uci/yeast

0.01

0.12

0.09

0.05

0.11

0.18

0.08

0.08

0.14

0.01

0.01

0.13

wut/circles

1

1

1

1

1

1

1

1

1

1

1

1

wut/cross

0

0.02

0.36

0.47

0.76

0.46

0.1

0.53

0.11

0

0

0.07

wut/graph

0.41

0.44

0.4

0.86

0.48

0.49

0.39

0.52

0.44

0.03

0.41

0.46

wut/isolation

0

0

0

0

1

1

1

1

0

1

0

0

wut/labirynth

0.36

0.49

0.3

0.62

0.5

0.59

0.72

0.72

0.29

0.76

0.39

0.34

wut/mk1

0.99

0.99

0.97

0.99

0.99

0.99

0.99

0.53

0.99

0.56

0.99

0.99

wut/mk2

0

0.01

0.01

0.01

1

1

1

1

0.01

1

0

0

wut/mk3

0.56

0.85

0.84

0.88

0.8

0.8

0.56

0.54

0.89

0

0.88

0.86

wut/mk4

0.04

0.14

0.28

0.5

1

1

1

0.59

0.2

1

0.2

0.19

wut/olympic

0.14

0.15

0.12

0.14

0.17

0.15

0.09

0.21

0.11

0

0.13

0.13

wut/smile

0.99

0.61

0.77

0.61

0.64

1

1

0.62

0.61

1

1

0.65

wut/stripes

0

0

0.01

0.01

1

1

1

1

0.01

1

0.01

0.01

wut/trajectories

1

1

0.71

1

1

1

1

1

1

1

1

1

wut/trapped_lovers

0.13

0.14

0.25

0.14

0.39

1

1

0.39

0.15

1

0.75

0.16

wut/twosplashes

0

0.28

0.22

0.67

0.5

0.5

0.5

0.73

0.28

0

0.28

0.19

wut/windows

0.1

0.1

0.09

0.14

0.14

0.2

1

0.35

0.09

1

0.15

0.1

wut/x1

1

1

1

1

1

1

1

1

1

1

1

1

wut/x2

0.51

0.97

1

0.69

0.81

0.81

0.5

0.69

0.97

0

0.27

0.97

wut/x3

0.96

0.98

0.47

0.93

0.88

0.96

0.96

0.65

1

0.02

0.51

0.98

wut/z1

0.21

0.1

0.19

0.01

0.39

0.39

0.14

0.39

0.2

0

0.15

0.1

wut/z2

0.51

0.5

0.44

1

0.5

0.63

0.82

0.49

0.47

0.73

0.99

0.43

wut/z3

1

1

0.93

1

0.63

0.66

0.92

0.65

1

0.74

0.98

1

fm

Summary statistics for fm (best=1.0):

count

mean

std

min

25%

50%

75%

max

Average linkage

73

0.73

0.21

0.34

0.55

0.72

0.94

1

Birch_0.01

73

0.73

0.21

0.28

0.58

0.7

0.94

1

Complete linkage

73

0.69

0.2

0.3

0.55

0.65

0.9

1

Gaussian mixtures

73

0.79

0.22

0.26

0.66

0.87

0.99

1

Genie_0.1

73

0.82

0.2

0.25

0.66

0.92

1

1

Genie_0.3

73

0.85

0.18

0.37

0.73

0.94

1

1

Genie_0.5

73

0.86

0.18

0.36

0.75

0.94

1

1

ITM

73

0.78

0.18

0.23

0.65

0.78

0.99

1

K-means

73

0.72

0.22

0.29

0.51

0.7

0.95

1

Single linkage

73

0.73

0.24

0.26

0.53

0.71

1

1

Spectral_RBF_5

72

0.78

0.21

0.33

0.61

0.83

0.99

1

Ward linkage

73

0.72

0.21

0.29

0.58

0.7

0.92

1

Ranks for fm (best=1):

count

mean

std

min

25%

50%

75%

max

Average linkage

72

5.9

3.3

1

3

6

8.2

12

Birch_0.01

72

6

3

1

4.8

6.5

8

12

Complete linkage

72

7.7

3.5

1

5.8

8

11

12

Gaussian mixtures

72

4.5

3.6

1

1

3

8

12

Genie_0.1

72

4.1

3.6

1

1

3

7

12

Genie_0.3

72

3.5

3.1

1

1

2

5

11

Genie_0.5

72

3.9

3.6

1

1

2

6.2

12

ITM

72

5.9

4.2

1

1

5

10

12

K-means

72

6.3

4

1

1.8

8

9

12

Single linkage

72

6.1

4.9

1

1

6

12

12

Spectral_RBF_5

72

4.8

3.4

1

1

5

8

11

Ward linkage

72

6.3

3.1

1

5

7

9

12

Raw results for fm (best=1.0):

Average linkage

Birch_0.01

Complete linkage

Gaussian mixtures

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Spectral_RBF_5

Ward linkage

fcps/atom

0.65

0.65

0.65

0.66

1

1

1

1

0.65

1

1

0.65

fcps/chainlink

0.68

0.68

0.69

0.95

1

1

1

1

0.55

1

1

0.68

fcps/engytime

0.65

0.89

0.65

0.99

0.92

0.92

0.92

0.92

0.92

0.71

0.96

0.87

fcps/hepta

1

1

1

1

1

1

1

0.91

1

1

1

1

fcps/lsun

0.6

0.63

0.63

1

1

1

1

1

0.65

1

0.88

0.61

fcps/target

0.71

0.8

0.71

0.8

1

1

1

1

0.79

1

1

0.79

fcps/tetra

0.99

0.98

0.99

1

1

1

1

1

1

0.49

1

0.98

fcps/twodiamonds

1

1

0.99

1

0.99

0.99

0.99

0.99

1

0.71

1

1

fcps/wingnut

1

1

1

0.93

1

1

1

1

0.93

1

0.89

0.8

graves/dense

0.96

0.96

0.67

1

0.98

0.98

0.98

1

0.9

0.69

0.96

0.96

graves/fuzzyx

0.8

0.95

0.97

1

0.8

0.66

0.66

0.96

1

0.71

0.7

0.89

graves/line

0.6

0.6

0.61

1

0.6

1

1

0.63

0.6

1

1

0.64

graves/parabolic

0.8

0.79

0.8

0.77

0.91

0.91

0.91

0.82

0.79

0.71

0.83

0.81

graves/ring

0.65

0.65

0.66

0.66

1

1

1

1

0.5

1

1

0.65

graves/ring_noisy

0.71

0.65

0.68

0.66

1

1

1

1

0.65

0.71

1

0.65

graves/ring_outliers

0.78

0.78

0.65

0.78

1

1

1

1

0.78

1

1

0.78

graves/zigzag

0.63

0.7

0.53

0.97

1

1

1

0.82

0.64

1

0.75

0.64

graves/zigzag_noisy

0.62

0.71

0.63

0.92

0.82

1

1

0.63

0.62

0.67

0.72

0.73

graves/zigzag_outliers

0.55

0.61

0.52

0.98

1

1

1

0.86

0.59

0.67

0.66

0.58

other/chameleon_t4_8k

0.72

0.69

0.63

0.64

0.86

1

0.94

0.87

0.67

0.44

0.69

0.68

other/chameleon_t5_8k

1

1

0.78

1

1

1

0.87

0.67

1

0.41

1

1

other/chameleon_t7_10k

0.54

0.54

0.47

0.5

0.61

0.76

1

0.62

0.51

0.43

0.48

0.52

other/chameleon_t8_8k

0.47

0.49

0.43

0.53

0.68

0.7

0.77

0.64

0.46

0.41

0.46

0.47

other/hdbscan

0.6

0.7

0.58

0.85

0.97

0.79

0.79

0.8

0.7

0.42

0.53

0.87

other/iris

0.84

0.82

0.77

0.94

0.92

0.92

0.75

0.92

0.82

0.76

0.83

0.82

other/iris5

0.77

0.74

0.67

0.9

0.76

0.76

0.89

0.72

0.73

0.69

0.75

0.74

other/square

0.65

0.5

0.65

0.52

1

1

1

1

0.52

1

0.65

0.67

sipu/a1

0.93

0.94

0.92

0.96

0.94

0.9

0.85

0.78

0.97

0.56

0.94

0.92

sipu/a2

0.94

0.94

0.91

0.96

0.95

0.92

0.84

0.78

0.97

0.48

0.91

0.92

sipu/a3

0.94

0.94

0.92

0.95

0.96

0.94

0.84

0.77

0.95

0.45

0.93

0.94

sipu/aggregation

1

0.86

0.83

1

0.58

0.66

0.91

0.69

0.82

0.86

0.99

0.86

sipu/compound

0.94

0.92

0.94

0.94

0.85

0.85

0.92

0.74

0.83

0.95

0.91

0.92

sipu/d31

0.91

0.93

0.93

0.95

0.94

0.9

0.74

0.81

0.96

0.35

0.94

0.92

sipu/flame

0.73

0.63

0.62

0.68

1

1

1

0.69

0.75

0.73

0.92

0.63

sipu/jain

0.92

0.79

0.92

0.59

0.59

1

1

0.7

0.7

0.8

0.79

0.79

sipu/pathbased

0.73

0.67

0.6

0.74

0.98

0.98

0.8

0.69

0.66

0.57

0.74

0.67

sipu/r15

1

1

1

1

0.99

0.99

1

0.99

1

1

1

1

sipu/s1

0.98

0.99

0.97

0.99

0.99

0.99

0.99

0.77

0.99

0.59

0.99

0.98

sipu/s2

0.92

0.91

0.81

0.95

0.92

0.92

0.8

0.78

0.94

0.26

0.94

0.91

sipu/s3

0.64

0.7

0.55

0.75

0.71

0.69

0.61

0.64

0.74

0.26

0.73

0.7

sipu/s4

0.55

0.59

0.49

0.67

0.64

0.62

0.53

0.58

0.66

0.26

0.61

0.58

sipu/spiral

0.36

0.34

0.34

0.33

1

1

1

0.82

0.33

1

0.33

0.34

sipu/unbalance

1

1

0.77

1

0.69

0.73

0.84

0.66

1

1

1

1

uci/ecoli

0.82

0.61

0.72

0.71

0.51

0.59

0.75

0.48

0.59

0.53

0.62

0.61

uci/glass

0.49

0.5

0.55

0.47

0.33

0.48

0.48

0.41

0.51

0.51

0.47

0.51

uci/ionosphere

0.73

0.61

0.73

0.71

0.64

0.64

0.64

0.56

0.61

0.73

0.73

0.61

uci/sonar

0.65

0.53

0.53

0.51

0.52

0.52

0.64

0.51

0.5

0.7

0.7

0.53

uci/statlog

0.37

0.47

0.43

0.57

0.68

0.6

0.58

0.6

0.48

0.38

nan

0.45

uci/wdbc

0.72

0.74

0.72

0.87

0.6

0.74

0.74

0.82

0.79

0.73

0.73

0.74

uci/wine

0.62

0.58

0.59

0.88

0.58

0.58

0.59

0.6

0.58

0.56

0.63

0.58

uci/yeast

0.46

0.28

0.42

0.26

0.25

0.39

0.39

0.23

0.3

0.47

0.47

0.29

wut/circles

1

1

1

1

1

1

1

1

1

1

1

1

wut/cross

0.49

0.45

0.6

0.64

0.82

0.62

0.44

0.67

0.44

0.5

0.5

0.44

wut/graph

0.49

0.51

0.48

0.88

0.54

0.55

0.49

0.57

0.51

0.31

0.49

0.53

wut/isolation

0.34

0.35

0.34

0.33

1

1

1

1

0.33

1

0.33

0.34

wut/labirynth

0.51

0.61

0.46

0.72

0.62

0.69

0.79

0.79

0.45

0.85

0.53

0.49

wut/mk1

0.99

0.99

0.98

0.99

0.99

0.99

0.99

0.7

0.99

0.77

0.99

0.99

wut/mk2

0.5

0.51

0.5

0.5

1

1

1

1

0.5

1

0.5

0.51

wut/mk3

0.77

0.9

0.9

0.92

0.86

0.86

0.75

0.7

0.93

0.57

0.92

0.91

wut/mk4

0.49

0.49

0.55

0.67

1

1

1

0.73

0.5

1

0.51

0.5

wut/olympic

0.35

0.33

0.3

0.32

0.37

0.37

0.36

0.38

0.29

0.45

0.33

0.31

wut/smile

0.99

0.73

0.86

0.73

0.75

1

1

0.72

0.73

1

1

0.76

wut/stripes

0.51

0.54

0.53

0.51

1

1

1

1

0.51

1

0.51

0.55

wut/trajectories

1

1

0.8

1

1

1

1

1

1

1

1

1

wut/trapped_lovers

0.5

0.5

0.54

0.5

0.64

1

1

0.64

0.5

1

0.86

0.5

wut/twosplashes

0.69

0.64

0.61

0.84

0.75

0.75

0.75

0.87

0.64

0.7

0.64

0.6

wut/windows

0.39

0.39

0.39

0.41

0.43

0.5

1

0.58

0.37

1

0.43

0.4

wut/x1

1

1

1

1

1

1

1

1

1

1

1

1

wut/x2

0.73

0.98

1

0.8

0.87

0.87

0.72

0.79

0.98

0.57

0.6

0.98

wut/x3

0.97

0.99

0.62

0.96

0.91

0.97

0.97

0.76

1

0.66

0.69

0.99

wut/z1

0.51

0.42

0.46

0.36

0.6

0.6

0.5

0.6

0.47

0.55

0.43

0.42

wut/z2

0.68

0.66

0.62

1

0.66

0.76

0.89

0.65

0.64

0.86

0.99

0.61

wut/z3

1

1

0.95

1

0.74

0.77

0.94

0.74

1

0.84

0.99

1

ami

Summary statistics for ami (best=1.0):

count

mean

std

min

25%

50%

75%

max

Average linkage

73

0.57

0.36

0

0.27

0.65

0.95

1

Birch_0.01

73

0.61

0.33

0

0.34

0.68

0.95

1

Complete linkage

73

0.56

0.32

0

0.35

0.56

0.88

1

Gaussian mixtures

73

0.68

0.34

0

0.43

0.8

0.98

1

Genie_0.1

73

0.79

0.26

0

0.71

0.87

1

1

Genie_0.3

73

0.82

0.24

0

0.74

0.95

1

1

Genie_0.5

73

0.82

0.25

0.06

0.74

0.94

1

1

ITM

73

0.75

0.24

0

0.63

0.77

0.97

1

K-means

73

0.6

0.33

0

0.36

0.65

0.97

1

Single linkage

73

0.49

0.46

0

0

0.71

1

1

Spectral_RBF_5

72

0.67

0.34

0

0.47

0.76

0.99

1

Ward linkage

73

0.61

0.32

0

0.35

0.65

0.93

1

Ranks for ami (best=1):

count

mean

std

min

25%

50%

75%

max

Average linkage

72

6.5

3.6

1

3.8

6

9

12

Birch_0.01

72

5.7

3

1

3.8

6

8

12

Complete linkage

72

7.6

3.3

1

6

8

11

12

Gaussian mixtures

72

4.4

3.7

1

1

3

7

12

Genie_0.1

72

3.7

3.2

1

1

3

5

12

Genie_0.3

72

3.1

2.9

1

1

1.5

4.2

11

Genie_0.5

72

3.9

3.6

1

1

1.5

7.2

12

ITM

72

5.6

3.9

1

1.8

5

9

12

K-means

72

5.6

3.9

1

1

6

9

12

Single linkage

72

7.5

5

1

1

11

12

12

Spectral_RBF_5

72

5

3.5

1

1

4.5

8

11

Ward linkage

72

5.9

3.1

1

3.8

6

8

12

Raw results for ami (best=1.0):

Average linkage

Birch_0.01

Complete linkage

Gaussian mixtures

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Spectral_RBF_5

Ward linkage

fcps/atom

0.22

0.22

0.2

0.13

1

1

1

1

0.29

1

1

0.22

fcps/chainlink

0.36

0.37

0.39

0.84

1

1

1

1

0.07

1

1

0.37

fcps/engytime

0.16

0.68

0.15

0.96

0.79

0.79

0.79

0.74

0.77

0

0.87

0.68

fcps/hepta

1

1

1

1

1

1

1

0.94

1

1

1

1

fcps/lsun

0.5

0.53

0.53

1

1

1

1

1

0.54

1

0.82

0.51

fcps/target

0.33

0.64

0.38

0.65

1

1

1

1

0.63

1

1

0.63

fcps/tetra

0.99

0.96

0.98

1

1

1

1

1

1

0

1

0.96

fcps/twodiamonds

0.99

0.99

0.97

1

0.95

0.95

0.95

0.97

1

0

1

1

fcps/wingnut

1

1

1

0.78

1

1

1

1

0.77

1

0.68

0.49

graves/dense

0.88

0.88

0.35

1

0.93

0.93

0.93

1

0.76

0.02

0.88

0.88

graves/fuzzyx

0.8

0.84

0.9

0.99

0.79

0.64

0.59

0.94

0.99

0

0.69

0.75

graves/line

0.14

0.14

0.14

1

0.2

1

1

0.25

0.18

1

1

0.1

graves/parabolic

0.49

0.57

0.51

0.43

0.74

0.74

0.74

0.61

0.48

0

0.55

0.52

graves/ring

0.23

0.24

0.31

0.13

1

1

1

1

0

1

1

0.24

graves/ring_noisy

0

0.23

0.36

0.12

1

1

1

1

0.28

0

1

0.26

graves/ring_outliers

0.65

0.65

0.41

0.65

1

1

1

1

0.65

1

1

0.65

graves/zigzag

0.67

0.76

0.56

0.96

1

1

1

0.85

0.71

1

0.8

0.71

graves/zigzag_noisy

0.66

0.75

0.67

0.89

0.85

1

1

0.68

0.66

0.74

0.78

0.76

graves/zigzag_outliers

0.49

0.65

0.53

0.97

1

1

1

0.9

0.61

0.74

0.53

0.57

other/chameleon_t4_8k

0.76

0.73

0.62

0.69

0.91

1

0.95

0.87

0.7

0

0.72

0.73

other/chameleon_t5_8k

1

1

0.83

1

1

1

0.93

0.75

1

0

1

1

other/chameleon_t7_10k

0.69

0.71

0.6

0.68

0.78

0.87

1

0.76

0.66

0

0.64

0.69

other/chameleon_t8_8k

0.59

0.58

0.55

0.64

0.79

0.79

0.86

0.76

0.59

0

0.58

0.59

other/hdbscan

0.62

0.75

0.61

0.82

0.97

0.87

0.87

0.85

0.73

0

0.55

0.86

other/iris

0.8

0.77

0.72

0.9

0.87

0.87

0.7

0.87

0.76

0.71

0.8

0.77

other/iris5

0.63

0.56

0.46

0.81

0.58

0.58

0.76

0.54

0.54

0.34

0.61

0.56

other/square

0.27

0

0.28

0.03

1

1

1

1

0.02

1

0.28

0.35

sipu/a1

0.95

0.96

0.95

0.97

0.96

0.95

0.94

0.89

0.97

0.78

0.96

0.95

sipu/a2

0.96

0.96

0.95

0.98

0.97

0.96

0.94

0.9

0.98

0.76

0.96

0.96

sipu/a3

0.97

0.97

0.96

0.97

0.97

0.97

0.95

0.91

0.97

0.76

0.96

0.97

sipu/aggregation

1

0.92

0.9

1

0.7

0.76

0.92

0.78

0.88

0.88

0.99

0.92

sipu/compound

0.93

0.88

0.93

0.93

0.85

0.85

0.88

0.74

0.83

0.93

0.86

0.88

sipu/d31

0.95

0.95

0.95

0.96

0.96

0.95

0.9

0.91

0.97

0.63

0.96

0.95

sipu/flame

0.48

0.35

0.12

0.42

1

1

1

0.43

0.43

0.02

0.73

0.35

sipu/jain

0.7

0.5

0.7

0.2

0.23

1

1

0.39

0.37

0.24

0.5

0.5

sipu/pathbased

0.64

0.59

0.5

0.66

0.95

0.95

0.81

0.61

0.58

0

0.67

0.59

sipu/r15

1

1

1

1

0.99

0.99

1

0.99

1

1

1

1

sipu/s1

0.98

0.99

0.98

0.99

0.99

0.99

0.99

0.88

0.99

0.79

0.99

0.98

sipu/s2

0.93

0.92

0.88

0.95

0.93

0.93

0.91

0.86

0.95

0

0.94

0.93

sipu/s3

0.75

0.77

0.7

0.8

0.78

0.77

0.75

0.74

0.79

0

0.79

0.77

sipu/s4

0.66

0.69

0.63

0.73

0.71

0.7

0.66

0.68

0.72

0

0.71

0.69

sipu/spiral

0

0

0

0

1

1

1

0.78

0

1

0

0

sipu/unbalance

1

1

0.82

1

0.75

0.77

0.82

0.75

1

0.99

1

1

uci/ecoli

0.71

0.62

0.64

0.57

0.49

0.54

0.57

0.49

0.58

0.11

0.48

0.62

uci/glass

0.07

0.34

0.35

0.33

0.25

0.38

0.34

0.33

0.4

0.03

0.31

0.37

uci/ionosphere

0

0.14

0.01

0.32

0.13

0.13

0.06

0.09

0.13

0

0

0.14

uci/sonar

0

0

0

0

0

0

0.07

0

0.01

0

0

0

uci/statlog

0.01

0.53

0.35

0.61

0.68

0.68

0.7

0.63

0.52

0

nan

0.49

uci/wdbc

0.09

0.32

0.09

0.61

0.24

0.31

0.31

0.51

0.46

0

0

0.32

uci/wine

0.4

0.41

0.44

0.82

0.41

0.41

0.38

0.37

0.42

0.04

0.42

0.41

uci/yeast

0.05

0.22

0.18

0.14

0.22

0.25

0.19

0.19

0.26

0.05

0.06

0.23

wut/circles

1

1

1

1

1

1

1

1

1

1

1

1

wut/cross

0.04

0.18

0.48

0.61

0.81

0.62

0.36

0.7

0.36

0

0.01

0.31

wut/graph

0.62

0.63

0.6

0.89

0.68

0.69

0.62

0.69

0.64

0.23

0.62

0.65

wut/isolation

0

0

0

0

1

1

1

1

0

1

0

0

wut/labirynth

0.59

0.71

0.54

0.76

0.71

0.78

0.88

0.87

0.5

0.85

0.6

0.58

wut/mk1

0.98

0.98

0.95

0.98

0.98

0.98

0.98

0.61

0.98

0.72

0.98

0.98

wut/mk2

0

0.01

0.01

0

1

1

1

1

0.01

1

0

0

wut/mk3

0.71

0.83

0.83

0.85

0.8

0.8

0.69

0.61

0.86

0

0.85

0.84

wut/mk4

0.11

0.2

0.3

0.58

1

1

1

0.65

0.25

1

0.25

0.24

wut/olympic

0.31

0.27

0.21

0.25

0.33

0.33

0.31

0.31

0.2

0

0.31

0.23

wut/smile

0.98

0.79

0.83

0.79

0.8

1

1

0.85

0.79

1

1

0.8

wut/stripes

0

0

0.01

0.01

1

1

1

1

0.01

1

0.01

0.01

wut/trajectories

1

1

0.83

1

1

1

1

1

1

1

1

1

wut/trapped_lovers

0.35

0.36

0.45

0.36

0.62

1

1

0.62

0.38

1

0.74

0.39

wut/twosplashes

0.04

0.21

0.17

0.56

0.4

0.4

0.4

0.69

0.21

0.01

0.21

0.15

wut/windows

0.4

0.4

0.4

0.43

0.48

0.56

1

0.65

0.35

1

0.43

0.4

wut/x1

1

1

1

1

1

1

1

1

1

1

1

1

wut/x2

0.72

0.97

1

0.75

0.84

0.84

0.72

0.77

0.97

0

0.41

0.97

wut/x3

0.91

0.97

0.63

0.91

0.87

0.91

0.91

0.69

1

0.01

0.68

0.97

wut/z1

0.32

0.13

0.26

0.03

0.47

0.47

0.24

0.46

0.27

0.05

0.19

0.13

wut/z2

0.72

0.72

0.64

1

0.72

0.74

0.86

0.71

0.68

0.81

0.98

0.69

wut/z3

0.99

0.99

0.93

0.99

0.74

0.74

0.91

0.75

1

0.84

0.97

1

nmi

Summary statistics for nmi (best=1.0):

count

mean

std

min

25%

50%

75%

max

Average linkage

73

0.58

0.36

0

0.27

0.66

0.95

1

Birch_0.01

73

0.61

0.33

0

0.35

0.68

0.96

1

Complete linkage

73

0.57

0.32

0

0.35

0.57

0.88

1

Gaussian mixtures

73

0.68

0.34

0

0.43

0.8

0.98

1

Genie_0.1

73

0.79

0.26

0

0.71

0.87

1

1

Genie_0.3

73

0.83

0.24

0

0.74

0.95

1

1

Genie_0.5

73

0.82

0.25

0.07

0.74

0.94

1

1

ITM

73

0.75

0.24

0.01

0.63

0.78

0.97

1

K-means

73

0.61

0.33

0

0.37

0.65

0.97

1

Single linkage

73

0.5

0.45

0

0.01

0.72

1

1

Spectral_RBF_5

72

0.67

0.34

0

0.49

0.76

0.99

1

Ward linkage

73

0.61

0.32

0

0.35

0.66

0.93

1

Ranks for nmi (best=1):

count

mean

std

min

25%

50%

75%

max

Average linkage

72

6.6

3.6

1

4

6.5

9.2

12

Birch_0.01

72

5.8

2.9

1

4

6

8

12

Complete linkage

72

7.7

3.3

1

6

8.5

11

12

Gaussian mixtures

72

4.4

3.7

1

1

3

7.2

12

Genie_0.1

72

3.8

3.3

1

1

2.5

5.2

12

Genie_0.3

72

3.1

2.9

1

1

1.5

4

11

Genie_0.5

72

3.8

3.6

1

1

1.5

7.2

12

ITM

72

5.5

3.9

1

1

5.5

9

12

K-means

72

5.7

3.9

1

1

6

9

12

Single linkage

72

7.5

5

1

1

10.5

12

12

Spectral_RBF_5

72

5

3.5

1

1

4

8

11

Ward linkage

72

6

3.1

1

4

6

8

12

Raw results for nmi (best=1.0):

Average linkage

Birch_0.01

Complete linkage

Gaussian mixtures

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Spectral_RBF_5

Ward linkage

fcps/atom

0.22

0.22

0.2

0.13

1

1

1

1

0.29

1

1

0.22

fcps/chainlink

0.36

0.37

0.39

0.84

1

1

1

1

0.07

1

1

0.37

fcps/engytime

0.16

0.68

0.15

0.96

0.79

0.79

0.79

0.74

0.77

0

0.87

0.68

fcps/hepta

1

1

1

1

1

1

1

0.95

1

1

1

1

fcps/lsun

0.5

0.53

0.53

1

1

1

1

1

0.54

1

0.82

0.51

fcps/target

0.34

0.64

0.38

0.65

1

1

1

1

0.64

1

1

0.64

fcps/tetra

0.99

0.96

0.98

1

1

1

1

1

1

0.01

1

0.96

fcps/twodiamonds

0.99

0.99

0.97

1

0.95

0.95

0.95

0.97

1

0

1

1

fcps/wingnut

1

1

1

0.78

1

1

1

1

0.77

1

0.68

0.49

graves/dense

0.88

0.88

0.35

1

0.93

0.93

0.93

1

0.76

0.03

0.88

0.88

graves/fuzzyx

0.8

0.84

0.9

0.99

0.79

0.64

0.59

0.94

0.99

0.01

0.69

0.75

graves/line

0.14

0.14

0.14

1

0.2

1

1

0.25

0.18

1

1

0.1

graves/parabolic

0.49

0.57

0.51

0.43

0.74

0.74

0.74

0.61

0.48

0.01

0.55

0.52

graves/ring

0.23

0.24

0.31

0.13

1

1

1

1

0

1

1

0.24

graves/ring_noisy

0

0.24

0.36

0.12

1

1

1

1

0.28

0

1

0.27

graves/ring_outliers

0.66

0.66

0.41

0.65

1

1

1

1

0.65

1

1

0.66

graves/zigzag

0.67

0.76

0.57

0.96

1

1

1

0.85

0.71

1

0.81

0.71

graves/zigzag_noisy

0.67

0.76

0.68

0.89

0.85

1

1

0.68

0.67

0.74

0.79

0.77

graves/zigzag_outliers

0.5

0.66

0.54

0.98

1

1

1

0.9

0.62

0.74

0.53

0.57

other/chameleon_t4_8k

0.76

0.73

0.62

0.69

0.91

1

0.95

0.87

0.7

0

0.72

0.73

other/chameleon_t5_8k

1

1

0.83

1

1

1

0.93

0.75

1

0

1

1

other/chameleon_t7_10k

0.69

0.71

0.6

0.68

0.78

0.87

1

0.76

0.66

0

0.64

0.69

other/chameleon_t8_8k

0.59

0.58

0.55

0.64

0.79

0.79

0.86

0.76

0.59

0

0.58

0.59

other/hdbscan

0.62

0.75

0.61

0.82

0.97

0.87

0.88

0.85

0.73

0

0.55

0.86

other/iris

0.81

0.77

0.72

0.9

0.87

0.87

0.71

0.87

0.76

0.72

0.8

0.77

other/iris5

0.64

0.57

0.47

0.81

0.59

0.59

0.76

0.55

0.55

0.36

0.62

0.57

other/square

0.27

0

0.28

0.03

1

1

1

1

0.02

1

0.28

0.35

sipu/a1

0.95

0.96

0.95

0.97

0.96

0.95

0.94

0.89

0.97

0.79

0.96

0.95

sipu/a2

0.96

0.96

0.95

0.98

0.97

0.96

0.95

0.91

0.98

0.77

0.96

0.96

sipu/a3

0.97

0.97

0.96

0.98

0.98

0.97

0.95

0.91

0.98

0.76

0.97

0.97

sipu/aggregation

1

0.92

0.9

1

0.71

0.76

0.92

0.78

0.88

0.88

0.99

0.92

sipu/compound

0.93

0.88

0.93

0.93

0.85

0.85

0.89

0.75

0.83

0.93

0.86

0.88

sipu/d31

0.95

0.96

0.95

0.96

0.96

0.95

0.91

0.91

0.97

0.64

0.96

0.95

sipu/flame

0.48

0.35

0.13

0.42

1

1

1

0.43

0.43

0.02

0.73

0.35

sipu/jain

0.7

0.51

0.7

0.2

0.23

1

1

0.39

0.37

0.25

0.51

0.51

sipu/pathbased

0.64

0.6

0.51

0.66

0.95

0.95

0.81

0.61

0.59

0.02

0.67

0.6

sipu/r15

1

1

1

1

0.99

0.99

1

0.99

1

1

1

1

sipu/s1

0.98

0.99

0.98

0.99

0.99

0.99

0.99

0.88

0.99

0.79

0.99

0.98

sipu/s2

0.93

0.92

0.88

0.95

0.93

0.93

0.91

0.86

0.95

0.01

0.94

0.93

sipu/s3

0.75

0.77

0.71

0.8

0.78

0.78

0.75

0.75

0.79

0.01

0.79

0.77

sipu/s4

0.67

0.69

0.63

0.73

0.72

0.71

0.67

0.68

0.72

0.01

0.71

0.69

sipu/spiral

0

0.01

0.01

0

1

1

1

0.79

0

1

0

0.01

sipu/unbalance

1

1

0.82

1

0.75

0.77

0.82

0.75

1

0.99

1

1

uci/ecoli

0.72

0.63

0.65

0.59

0.51

0.56

0.59

0.51

0.6

0.15

0.51

0.63

uci/glass

0.11

0.37

0.38

0.36

0.28

0.41

0.37

0.35

0.43

0.07

0.34

0.39

uci/ionosphere

0.01

0.14

0.02

0.32

0.13

0.13

0.07

0.09

0.13

0.01

0.01

0.14

uci/sonar

0.01

0

0

0.01

0

0

0.08

0.01

0.01

0.01

0.01

0

uci/statlog

0.02

0.53

0.35

0.62

0.68

0.68

0.7

0.63

0.52

0.01

nan

0.49

uci/wdbc

0.09

0.32

0.09

0.61

0.24

0.32

0.32

0.51

0.46

0.01

0.01

0.32

uci/wine

0.4

0.42

0.44

0.82

0.42

0.42

0.39

0.38

0.43

0.06

0.43

0.42

uci/yeast

0.07

0.23

0.19

0.15

0.23

0.27

0.2

0.2

0.27

0.07

0.07

0.24

wut/circles

1

1

1

1

1

1

1

1

1

1

1

1

wut/cross

0.04

0.19

0.48

0.61

0.81

0.62

0.36

0.7

0.37

0

0.01

0.31

wut/graph

0.62

0.63

0.61

0.89

0.68

0.69

0.62

0.7

0.64

0.24

0.63

0.66

wut/isolation

0

0

0

0

1

1

1

1

0

1

0

0

wut/labirynth

0.59

0.71

0.54

0.76

0.71

0.78

0.88

0.87

0.5

0.85

0.6

0.58

wut/mk1

0.98

0.98

0.95

0.98

0.98

0.98

0.98

0.62

0.98

0.73

0.98

0.98

wut/mk2

0

0.01

0.01

0.01

1

1

1

1

0.01

1

0

0

wut/mk3

0.71

0.83

0.83

0.85

0.8

0.8

0.69

0.61

0.86

0.01

0.85

0.84

wut/mk4

0.12

0.2

0.3

0.58

1

1

1

0.65

0.25

1

0.25

0.24

wut/olympic

0.31

0.27

0.21

0.25

0.33

0.34

0.31

0.31

0.2

0

0.31

0.23

wut/smile

0.98

0.79

0.83

0.79

0.8

1

1

0.85

0.79

1

1

0.81

wut/stripes

0

0

0.01

0.01

1

1

1

1

0.01

1

0.01

0.01

wut/trajectories

1

1

0.83

1

1

1

1

1

1

1

1

1

wut/trapped_lovers

0.35

0.36

0.45

0.36

0.63

1

1

0.62

0.38

1

0.74

0.39

wut/twosplashes

0.04

0.21

0.17

0.56

0.4

0.4

0.4

0.69

0.21

0.01

0.21

0.15

wut/windows

0.41

0.41

0.4

0.43

0.48

0.56

1

0.65

0.35

1

0.43

0.4

wut/x1

1

1

1

1

1

1

1

1

1

1

1

1

wut/x2

0.73

0.97

1

0.75

0.85

0.85

0.73

0.78

0.97

0.03

0.43

0.97

wut/x3

0.91

0.97

0.64

0.91

0.87

0.91

0.91

0.7

1

0.04

0.69

0.97

wut/z1

0.33

0.14

0.27

0.04

0.47

0.47

0.24

0.47

0.27

0.07

0.19

0.14

wut/z2

0.72

0.72

0.64

1

0.72

0.74

0.86

0.72

0.68

0.81

0.98

0.69

wut/z3

0.99

0.99

0.93

0.99

0.74

0.75

0.91

0.75

1

0.84

0.97

1

npa

Summary statistics for npa (best=1.0):

count

mean

std

min

25%

50%

75%

max

Average linkage

73

0.59

0.34

0

0.32

0.6

0.96

1

Birch_0.01

73

0.64

0.31

0.01

0.44

0.67

0.96

1

Complete linkage

73

0.59

0.3

0.02

0.39

0.56

0.89

1

Gaussian mixtures

73

0.71

0.33

0.01

0.51

0.86

0.99

1

Genie_0.1

73

0.79

0.26

0.02

0.63

0.94

1

1

Genie_0.3

73

0.83

0.22

0.02

0.68

0.96

1

1

Genie_0.5

73

0.81

0.25

0.08

0.71

0.92

1

1

ITM

73

0.75

0.23

0.08

0.6

0.8

0.99

1

K-means

73

0.64

0.31

0.01

0.42

0.65

0.97

1

Single linkage

73

0.49

0.42

0

0.07

0.37

1

1

Spectral_RBF_5

72

0.7

0.32

0.01

0.42

0.83

1

1

Ward linkage

73

0.64

0.29

0.02

0.41

0.63

0.95

1

Ranks for npa (best=1):

count

mean

std

min

25%

50%

75%

max

Average linkage

72

6.3

3.8

1

2.8

7

9.2

12

Birch_0.01

72

5.9

3.1

1

4

6

8

12

Complete linkage

72

7.6

3.1

1

6.8

8

10

12

Gaussian mixtures

72

4.3

3.9

1

1

3

7

12

Genie_0.1

72

4

3.6

1

1

2

7

12

Genie_0.3

72

3.5

3.2

1

1

2

6

11

Genie_0.5

72

4.1

3.8

1

1

1.5

7.2

12

ITM

72

5.4

3.9

1

1

5

9

12

K-means

72

5.7

3.8

1

1

6.5

9

12

Single linkage

72

7.5

5.1

1

1

11

12

12

Spectral_RBF_5

72

5.1

3.6

1

1

5

8

12

Ward linkage

72

6.1

3.2

1

4

6

8

12

Raw results for npa (best=1.0):

Average linkage

Birch_0.01

Complete linkage

Gaussian mixtures

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Spectral_RBF_5

Ward linkage

fcps/atom

0.31

0.31

0.29

0.17

1

1

1

1

0.43

1

1

0.31

fcps/chainlink

0.52

0.53

0.56

0.95

1

1

1

1

0.31

1

1

0.53

fcps/engytime

0.23

0.88

0.2

0.99

0.92

0.92

0.92

0.91

0.92

0

0.96

0.86

fcps/hepta

1

1

1

1

1

1

1

0.94

1

1

1

1

fcps/lsun

0.58

0.62

0.62

1

1

1

1

1

0.65

1

0.9

0.58

fcps/target

0.6

0.6

0.66

0.58

1

1

1

1

0.55

1

1

0.59

fcps/tetra

1

0.98

0.99

1

1

1

1

1

1

0.01

1

0.98

fcps/twodiamonds

1

1

0.99

1

0.99

0.99

0.99

0.99

1

0

1

1

fcps/wingnut

1

1

1

0.93

1

1

1

1

0.93

1

0.88

0.78

graves/dense

0.96

0.96

0.51

1

0.98

0.98

0.98

1

0.9

0.03

0.96

0.96

graves/fuzzyx

0.86

0.95

0.97

1

0.84

0.72

0.63

0.97

1

0.03

0.78

0.88

graves/line

0.01

0.01

0.02

1

0.19

1

1

0.35

0.14

1

1

0.19

graves/parabolic

0.77

0.76

0.77

0.73

0.9

0.9

0.9

0.8

0.77

0.02

0.81

0.79

graves/ring

0.34

0.34

0.46

0.17

1

1

1

1

0.01

1

1

0.34

graves/ring_noisy

0

0.34

0.52

0.16

1

1

1

1

0.4

0

1

0.38

graves/ring_outliers

0.58

0.57

0.53

0.55

1

1

1

1

0.55

1

1

0.58

graves/zigzag

0.69

0.73

0.56

0.98

1

1

1

0.86

0.7

1

0.82

0.63

graves/zigzag_noisy

0.65

0.77

0.58

0.95

0.88

1

1

0.67

0.64

0.5

0.78

0.79

graves/zigzag_outliers

0.34

0.53

0.46

0.99

1

1

1

0.9

0.51

0.53

0.4

0.42

other/chameleon_t4_8k

0.72

0.63

0.6

0.63

0.77

1

0.89

0.83

0.63

0.09

0.64

0.62

other/chameleon_t5_8k

1

1

0.79

1

1

1

0.82

0.69

1

0.01

1

1

other/chameleon_t7_10k

0.49

0.45

0.43

0.4

0.55

0.77

1

0.61

0.44

0.21

0.41

0.51

other/chameleon_t8_8k

0.41

0.46

0.39

0.51

0.6

0.6

0.79

0.58

0.4

0.09

0.4

0.4

other/hdbscan

0.4

0.72

0.54

0.86

0.98

0.74

0.74

0.86

0.77

0.07

0.47

0.91

other/iris

0.86

0.84

0.76

0.95

0.94

0.94

0.55

0.94

0.84

0.52

0.85

0.84

other/iris5

0.8

0.77

0.66

0.93

0.66

0.66

0.91

0.54

0.77

0.31

0.79

0.77

other/square

0.39

0.01

0.41

0.19

1

1

1

1

0.17

1

0.41

0.5

sipu/a1

0.96

0.96

0.96

0.98

0.97

0.91

0.84

0.82

0.98

0.37

0.97

0.95

sipu/a2

0.97

0.97

0.95

0.98

0.97

0.94

0.83

0.83

0.98

0.3

0.93

0.96

sipu/a3

0.97

0.97

0.96

0.96

0.98

0.95

0.84

0.83

0.96

0.25

0.95

0.97

sipu/aggregation

1

0.82

0.75

1

0.55

0.63

0.86

0.63

0.75

0.79

1

0.81

sipu/compound

0.94

0.81

0.94

0.94

0.75

0.76

0.89

0.66

0.73

0.94

0.82

0.81

sipu/d31

0.94

0.96

0.96

0.97

0.97

0.93

0.76

0.85

0.98

0.24

0.97

0.96

sipu/flame

0.67

0.47

0.03

0.59

1

1

1

0.6

0.69

0.29

0.91

0.47

sipu/jain

0.89

0.72

0.89

0.16

0.25

1

1

0.57

0.57

0.62

0.72

0.72

sipu/pathbased

0.66

0.64

0.52

0.66

0.98

0.98

0.74

0.68

0.62

0.09

0.68

0.64

sipu/r15

1

1

1

1

0.99

0.99

1

0.99

1

1

1

1

sipu/s1

0.99

0.99

0.98

0.99

0.99

0.99

0.99

0.8

0.99

0.44

0.99

0.99

sipu/s2

0.95

0.95

0.84

0.97

0.96

0.96

0.84

0.86

0.97

0.01

0.97

0.95

sipu/s3

0.67

0.8

0.57

0.85

0.82

0.77

0.63

0.75

0.84

0.01

0.84

0.81

sipu/s4

0.59

0.68

0.53

0.79

0.77

0.73

0.54

0.66

0.78

0.01

0.7

0.68

sipu/spiral

0.04

0.07

0.06

0.03

1

1

1

0.83

0.01

1

0.02

0.07

sipu/unbalance

1

1

0.64

1

0.47

0.59

0.75

0.41

1

0.98

1

1

uci/ecoli

0.73

0.59

0.68

0.66

0.46

0.51

0.65

0.46

0.57

0.37

0.58

0.59

uci/glass

0.25

0.38

0.38

0.41

0.27

0.38

0.38

0.39

0.45

0.24

0.39

0.4

uci/ionosphere

0.29

0.44

0.29

0.64

0.46

0.46

0.08

0.3

0.42

0.29

0.29

0.44

uci/sonar

0.11

0.02

0.02

0.08

0.02

0.02

0.11

0.08

0.11

0.08

0.08

0.02

uci/statlog

0

0.45

0.17

0.53

0.74

0.59

0.51

0.6

0.43

0

nan

0.41

uci/wdbc

0.33

0.56

0.33

0.84

0.31

0.55

0.55

0.79

0.71

0.26

0.26

0.56

uci/wine

0.42

0.54

0.51

0.91

0.57

0.57

0.3

0.58

0.55

0.14

0.44

0.54

uci/yeast

0.25

0.32

0.28

0.29

0.24

0.36

0.3

0.21

0.32

0.24

0.25

0.29

wut/circles

1

1

1

1

1

1

1

1

1

1

1

1

wut/cross

0.03

0.17

0.32

0.48

0.87

0.68

0.38

0.44

0.39

0

0.01

0.31

wut/graph

0.56

0.58

0.56

0.93

0.63

0.59

0.45

0.63

0.59

0.07

0.58

0.62

wut/isolation

0.03

0.04

0.02

0.01

1

1

1

1

0.01

1

0.01

0.05

wut/labirynth

0.5

0.59

0.46

0.65

0.55

0.61

0.72

0.72

0.44

0.72

0.51

0.46

wut/mk1

1

1

0.98

1

1

1

1

0.68

1

0.5

1

1

wut/mk2

0.07

0.11

0.09

0.09

1

1

1

1

0.09

1

0.08

0.07

wut/mk3

0.5

0.92

0.92

0.94

0.88

0.88

0.58

0.68

0.94

0

0.94

0.93

wut/mk4

0.18

0.31

0.42

0.55

1

1

1

0.74

0.37

1

0.39

0.36

wut/olympic

0.27

0.26

0.21

0.2

0.32

0.29

0.25

0.36

0.22

0

0.26

0.21

wut/smile

0.99

0.71

0.83

0.54

0.63

1

1

0.58

0.72

1

1

0.77

wut/stripes

0.05

0.04

0.11

0.11

1

1

1

1

0.11

1

0.11

0.12

wut/trajectories

1

1

0.74

1

1

1

1

1

1

1

1

1

wut/trapped_lovers

0.25

0.29

0.5

0.3

0.57

1

1

0.56

0.36

1

0.88

0.37

wut/twosplashes

0.05

0.53

0.47

0.82

0.71

0.71

0.71

0.86

0.53

0.01

0.53

0.44

wut/windows

0.35

0.34

0.19

0.42

0.31

0.35

1

0.33

0.3

1

0.18

0.31

wut/x1

1

1

1

1

1

1

1

1

1

1

1

1

wut/x2

0.61

0.99

1

0.84

0.84

0.84

0.56

0.84

0.99

0.22

0.42

0.99

wut/x3

0.97

0.99

0.7

0.97

0.94

0.97

0.97

0.69

1

0.39

0.58

0.99

wut/z1

0.32

0.27

0.36

0.11

0.5

0.5

0.3

0.5

0.31

0.06

0.33

0.27

wut/z2

0.59

0.67

0.59

1

0.66

0.7

0.81

0.65

0.64

0.86

0.99

0.57

wut/z3

1

1

0.96

1

0.67

0.68

0.95

0.74

1

0.73

0.99

1

psi

Summary statistics for psi (best=1.0):

count

mean

std

min

25%

50%

75%

max

Average linkage

73

0.51

0.37

0

0.19

0.45

0.94

1

Birch_0.01

73

0.56

0.34

0

0.24

0.53

0.94

1

Complete linkage

73

0.49

0.33

0

0.26

0.4

0.75

1

Gaussian mixtures

73

0.64

0.37

0

0.3

0.82

0.98

1

Genie_0.1

73

0.73

0.32

0

0.47

0.89

1

1

Genie_0.3

73

0.77

0.28

0

0.52

0.94

1

1

Genie_0.5

73

0.75

0.31

0

0.51

0.9

1

1

ITM

73

0.67

0.28

0.01

0.49

0.72

0.99

1

K-means

73

0.57

0.34

0

0.28

0.53

0.96

1

Single linkage

73

0.41

0.44

0

0

0.2

1

1

Spectral_RBF_5

72

0.64

0.36

0

0.3

0.76

0.99

1

Ward linkage

73

0.56

0.33

0

0.25

0.51

0.93

1

Ranks for psi (best=1):

count

mean

std

min

25%

50%

75%

max

Average linkage

72

6.7

3.6

1

4

7.5

10

12

Birch_0.01

72

5.6

3.2

1

3

6

8

12

Complete linkage

72

7.9

2.9

1

7

8

10

12

Gaussian mixtures

72

4.6

4

1

1

3.5

9

12

Genie_0.1

72

4

3.5

1

1

3

7

12

Genie_0.3

72

3.6

3.3

1

1

2

5.2

12

Genie_0.5

72

4.3

4.1

1

1

1

9.2

12

ITM

72

5.3

3.9

1

1

5

9

12

K-means

72

5

3.5

1

1

5

8

12

Single linkage

72

7.8

5

1

1

11

12

12

Spectral_RBF_5

72

5.4

3.6

1

1

6

8.2

11

Ward linkage

72

5.9

3.3

1

3

6

8

12

Raw results for psi (best=1.0):

Average linkage

Birch_0.01

Complete linkage

Gaussian mixtures

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Spectral_RBF_5

Ward linkage

fcps/atom

0.19

0.19

0.17

0.09

1

1

1

1

0.27

1

1

0.19

fcps/chainlink

0.35

0.36

0.39

0.95

1

1

1

1

0.31

1

1

0.36

fcps/engytime

0.13

0.88

0.11

0.98

0.85

0.85

0.85

0.91

0.88

0

0.92

0.77

fcps/hepta

1

1

1

1

1

1

1

0.9

1

1

1

1

fcps/lsun

0.45

0.51

0.51

1

1

1

1

1

0.54

1

0.81

0.46

fcps/target

0.79

0.25

0.82

0.17

1

1

1

1

0.28

1

1

0.33

fcps/tetra

0.99

0.97

0.99

1

1

1

1

1

1

0.01

1

0.97

fcps/twodiamonds

1

1

0.99

1

0.98

0.98

0.98

0.99

1

0

1

1

fcps/wingnut

1

1

1

0.93

1

1

1

1

0.93

1

0.88

0.78

graves/dense

0.92

0.92

0.34

1

0.96

0.96

0.96

1

0.82

0.02

0.92

0.92

graves/fuzzyx

0.76

0.9

0.94

1

0.74

0.59

0.5

0.95

1

0

0.67

0.79

graves/line

0

0

0

1

0.02

1

1

0.2

0

1

1

0

graves/parabolic

0.75

0.6

0.67

0.7

0.84

0.84

0.84

0.78

0.76

0

0.79

0.72

graves/ring

0.2

0.21

0.3

0.09

1

1

1

1

0.01

1

1

0.21

graves/ring_noisy

0

0.2

0.35

0.08

1

1

1

1

0.25

0

1

0.24

graves/ring_outliers

0.19

0.17

0.15

0.14

1

1

1

1

0.24

1

1

0.17

graves/zigzag

0.54

0.64

0.38

0.96

1

1

1

0.79

0.6

1

0.71

0.53

graves/zigzag_noisy

0.51

0.68

0.42

0.93

0.8

1

1

0.62

0.52

0.4

0.68

0.71

graves/zigzag_outliers

0.17

0.4

0.29

0.98

1

1

1

0.83

0.33

0.4

0.22

0.25

other/chameleon_t4_8k

0.54

0.51

0.48

0.47

0.64

1

0.72

0.69

0.52

0

0.52

0.48

other/chameleon_t5_8k

1

1

0.73

1

1

1

0.71

0.57

1

0

1

1

other/chameleon_t7_10k

0.33

0.28

0.28

0.27

0.42

0.71

1

0.46

0.31

0

0.31

0.37

other/chameleon_t8_8k

0.28

0.34

0.26

0.34

0.41

0.34

0.68

0.4

0.28

0

0.27

0.28

other/hdbscan

0.19

0.56

0.39

0.74

0.97

0.69

0.69

0.78

0.72

0

0.34

0.86

other/iris

0.76

0.74

0.64

0.91

0.9

0.9

0.4

0.9

0.76

0.38

0.75

0.74

other/iris5

0.77

0.75

0.65

0.91

0.34

0.34

0.91

0.28

0.76

0.41

0.75

0.75

other/square

0.24

0.01

0.26

0.17

1

1

1

1

0.15

1

0.26

0.34

sipu/a1

0.94

0.94

0.93

0.97

0.95

0.88

0.76

0.74

0.98

0.2

0.95

0.93

sipu/a2

0.95

0.95

0.92

0.97

0.96

0.92

0.75

0.77

0.98

0.14

0.9

0.93

sipu/a3

0.95

0.95

0.93

0.94

0.97

0.94

0.77

0.76

0.94

0.1

0.92

0.95

sipu/aggregation

1

0.7

0.67

1

0.31

0.45

0.8

0.47

0.65

0.58

0.99

0.7

sipu/compound

0.64

0.67

0.64

0.67

0.59

0.67

0.7

0.54

0.68

0.64

0.65

0.67

sipu/d31

0.91

0.95

0.95

0.96

0.95

0.9

0.69

0.81

0.97

0.15

0.95

0.94

sipu/flame

0.48

0.17

0

0.36

1

1

1

0.37

0.56

0.01

0.91

0.17

sipu/jain

0.74

0.53

0.74

0

0.01

1

1

0.39

0.39

0.21

0.53

0.53

sipu/pathbased

0.4

0.49

0.35

0.4

0.97

0.97

0.6

0.57

0.42

0

0.43

0.49

sipu/r15

1

1

1

1

0.99

0.99

1

0.99

1

1

1

1

sipu/s1

0.99

0.99

0.97

0.99

0.99

0.99

0.99

0.73

0.99

0.28

0.99

0.99

sipu/s2

0.94

0.92

0.75

0.96

0.94

0.94

0.78

0.8

0.96

0

0.96

0.93

sipu/s3

0.55

0.77

0.46

0.82

0.76

0.7

0.51

0.69

0.82

0

0.8

0.76

sipu/s4

0.44

0.62

0.4

0.75

0.72

0.67

0.41

0.59

0.75

0

0.59

0.63

sipu/spiral

0.03

0.06

0.05

0.03

1

1

1

0.72

0.01

1

0.02

0.06

sipu/unbalance

1

1

0.74

1

0.17

0.21

0.26

0.15

1

0.78

1

1

uci/ecoli

0.39

0.41

0.34

0.39

0.29

0.3

0.27

0.33

0.4

0.18

0.34

0.41

uci/glass

0.06

0.21

0.21

0.22

0.19

0.27

0.21

0.22

0.27

0.05

0.16

0.22

uci/ionosphere

0.01

0.35

0.01

0.53

0.4

0.4

0

0.17

0.34

0.01

0.01

0.35

uci/sonar

0.03

0

0

0.01

0

0

0.04

0.01

0.05

0.01

0.01

0

uci/statlog

0

0.35

0.13

0.42

0.71

0.52

0.42

0.52

0.32

0

nan

0.32

uci/wdbc

0.06

0.3

0.06

0.73

0.06

0.3

0.3

0.73

0.5

0

0

0.3

uci/wine

0.23

0.48

0.42

0.83

0.46

0.46

0.13

0.46

0.48

0.03

0.25

0.48

uci/yeast

0.17

0.23

0.17

0.18

0.16

0.17

0.13

0.13

0.24

0.13

0.14

0.21

wut/circles

1

1

1

1

1

1

1

1

1

1

1

1

wut/cross

0.02

0.11

0.17

0.3

0.78

0.55

0.27

0.33

0.28

0

0.01

0.22

wut/graph

0.38

0.42

0.38

0.88

0.53

0.46

0.26

0.55

0.43

0.05

0.4

0.46

wut/isolation

0.03

0.03

0.02

0.01

1

1

1

1

0.01

1

0.01

0.04

wut/labirynth

0.31

0.42

0.31

0.57

0.35

0.46

0.69

0.69

0.31

0.52

0.34

0.29

wut/mk1

0.99

0.99

0.97

0.99

0.99

0.99

0.99

0.55

0.99

0.35

0.99

0.99

wut/mk2

0.07

0.09

0.09

0.08

1

1

1

1

0.09

1

0.07

0.06

wut/mk3

0.35

0.89

0.87

0.92

0.82

0.82

0.43

0.56

0.93

0

0.92

0.91

wut/mk4

0.1

0.2

0.3

0.55

1

1

1

0.63

0.25

1

0.27

0.24

wut/olympic

0.22

0.24

0.2

0.18

0.25

0.26

0.21

0.31

0.21

0

0.24

0.19

wut/smile

0.98

0.65

0.58

0.43

0.47

1

1

0.62

0.66

1

1

0.69

wut/stripes

0.04

0.03

0.09

0.11

1

1

1

1

0.1

1

0.11

0.08

wut/trajectories

1

1

0.62

1

1

1

1

1

1

1

1

1

wut/trapped_lovers

0.13

0.15

0.34

0.17

0.5

1

1

0.49

0.21

1

0.77

0.21

wut/twosplashes

0.03

0.53

0.44

0.82

0.71

0.71

0.71

0.75

0.53

0.01

0.53

0.37

wut/windows

0.28

0.28

0.06

0.34

0.29

0.39

1

0.2

0.24

1

0.08

0.26

wut/x1

1

1

1

1

1

1

1

1

1

1

1

1

wut/x2

0.56

0.98

1

0.74

0.74

0.74

0.5

0.75

0.98

0

0.19

0.98

wut/x3

0.92

0.98

0.59

0.94

0.89

0.92

0.92

0.49

1

0.02

0.45

0.98

wut/z1

0.25

0.2

0.33

0.09

0.38

0.38

0.19

0.38

0.31

0.04

0.31

0.2

wut/z2

0.45

0.56

0.39

1

0.56

0.47

0.63

0.56

0.51

0.47

0.99

0.51

wut/z3

1

0.99

0.92

0.99

0.49

0.44

0.9

0.6

1

0.55

0.97

1

Summary

Medians and means of the partition similarity scores (read row-wise, in groups of 2 columns):

../_images/indices_small-1.png

Figure 22 Heat map of median and mean similarity scores

Large Datase

Results

nca

Summary statistics for nca (best=1.0):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

0.75

0.22

0.43

0.6

0.76

0.92

1

Genie_0.3

6

0.61

0.33

0.16

0.38

0.6

0.88

1

Genie_0.5

6

0.39

0.43

0

0.06

0.25

0.71

1

ITM

6

0.71

0.15

0.52

0.6

0.75

0.79

0.9

K-means

6

0.68

0.26

0.42

0.47

0.62

0.91

0.99

Single linkage

6

0.1

0.24

0

0

0

0

0.59

Ward linkage

6

0.69

0.23

0.44

0.5

0.65

0.86

1

Ranks for nca (best=1):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

1.7

0.8

1

1

1.5

2

3

Genie_0.3

6

3.5

1.8

1

2.2

4

5

5

Genie_0.5

6

5

2

1

5.2

6

6

6

ITM

6

3

2.1

1

1.2

2.5

4.5

6

K-means

6

3.5

1.6

1

2.5

4

4.8

5

Single linkage

6

6.8

0.4

6

7

7

7

7

Ward linkage

6

3

1.3

1

2.2

3.5

4

4

Raw results for nca (best=1.0):

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Ward linkage

mnist/digits

0.69

0.34

0.06

0.9

0.48

0

0.58

mnist/fashion

0.43

0.16

0.06

0.56

0.42

0

0.44

sipu/birch1

0.94

0.94

0.8

0.8

0.96

0

0.91

sipu/birch2

1

1

1

0.77

0.99

0.59

1

sipu/worms_2

0.57

0.49

0.44

0.52

0.46

0

0.47

sipu/worms_64

0.84

0.7

0

0.74

0.75

0

0.73

ar

Summary statistics for ar (best=1.0):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

0.66

0.26

0.31

0.48

0.65

0.85

1

Genie_0.3

6

0.52

0.37

0.07

0.25

0.46

0.81

1

Genie_0.5

6

0.35

0.43

0

0.02

0.17

0.63

1

ITM

6

0.6

0.18

0.37

0.46

0.65

0.71

0.8

K-means

6

0.61

0.31

0.32

0.35

0.52

0.88

0.99

Single linkage

6

0.07

0.18

0

0

0

0

0.44

Ward linkage

6

0.58

0.27

0.33

0.38

0.47

0.75

1

Ranks for ar (best=1):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

1.8

1.2

1

1

1.5

2

4

Genie_0.3

6

3.2

1.7

1

2

3

4.8

5

Genie_0.5

6

4.8

1.9

1

5

5.5

6

6

ITM

6

3.3

2.3

1

1.5

3

5.2

6

K-means

6

3.3

1.6

1

2.2

3.5

4.8

5

Single linkage

6

6.8

0.4

6

7

7

7

7

Ward linkage

6

3.2

1.5

1

2.2

3.5

4

5

Raw results for ar (best=1.0):

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Ward linkage

mnist/digits

0.6

0.21

0.02

0.8

0.37

0

0.53

mnist/fashion

0.31

0.07

0.02

0.41

0.35

0

0.37

sipu/birch1

0.89

0.89

0.73

0.72

0.94

0

0.83

sipu/birch2

1

1

1

0.71

0.99

0.44

1

sipu/worms_2

0.45

0.38

0.32

0.37

0.32

0

0.33

sipu/worms_64

0.7

0.54

0

0.59

0.67

0

0.42

fm

Summary statistics for fm (best=1.0):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

0.69

0.23

0.42

0.51

0.68

0.85

1

Genie_0.3

6

0.6

0.29

0.31

0.4

0.49

0.82

1

Genie_0.5

6

0.49

0.31

0.2

0.31

0.34

0.65

1

ITM

6

0.62

0.16

0.39

0.51

0.66

0.72

0.82

K-means

6

0.64

0.28

0.35

0.42

0.56

0.88

0.99

Single linkage

6

0.28

0.15

0.1

0.19

0.26

0.32

0.53

Ward linkage

6

0.61

0.25

0.36

0.45

0.52

0.77

1

Ranks for fm (best=1):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

1.7

0.8

1

1

1.5

2

3

Genie_0.3

6

3.3

2

1

2

3

4.8

6

Genie_0.5

6

4.8

2.1

1

4.2

5.5

6

7

ITM

6

3.3

2.3

1

1.5

3

5.2

6

K-means

6

3.5

1.9

1

2.2

3.5

4.8

6

Single linkage

6

6.3

0.8

5

6

6.5

7

7

Ward linkage

6

3.2

1.5

1

2.2

3.5

4

5

Raw results for fm (best=1.0):

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Ward linkage

mnist/digits

0.65

0.41

0.31

0.82

0.43

0.32

0.58

mnist/fashion

0.42

0.31

0.31

0.47

0.42

0.32

0.44

sipu/birch1

0.89

0.89

0.75

0.72

0.94

0.1

0.83

sipu/birch2

1

1

1

0.72

0.99

0.53

1

sipu/worms_2

0.47

0.4

0.36

0.39

0.35

0.19

0.36

sipu/worms_64

0.72

0.58

0.2

0.61

0.69

0.2

0.47

ami

Summary statistics for ami (best=1.0):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

0.77

0.17

0.57

0.67

0.74

0.9

1

Genie_0.3

6

0.7

0.24

0.37

0.59

0.66

0.88

1

Genie_0.5

6

0.49

0.42

0

0.19

0.41

0.84

1

ITM

6

0.75

0.15

0.56

0.63

0.74

0.87

0.91

K-means

6

0.72

0.22

0.5

0.53

0.66

0.91

1

Single linkage

6

0.15

0.36

0

0

0

0

0.89

Ward linkage

6

0.75

0.17

0.56

0.62

0.7

0.87

1

Ranks for ami (best=1):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

1.3

0.5

1

1

1

1.8

2

Genie_0.3

6

3

1.5

1

2

3

4

5

Genie_0.5

6

4.5

2

1

4

5

6

6

ITM

6

3.8

2.1

1

2.2

4

5.8

6

K-means

6

2.8

2

1

1

2.5

4.8

5

Single linkage

6

6.8

0.4

6

7

7

7

7

Ward linkage

6

2.7

1.6

1

1.2

2.5

3.8

5

Raw results for ami (best=1.0):

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Ward linkage

mnist/digits

0.75

0.57

0.18

0.83

0.5

0

0.68

mnist/fashion

0.57

0.37

0.21

0.56

0.51

0

0.56

sipu/birch1

0.94

0.94

0.92

0.89

0.98

0

0.92

sipu/birch2

1

1

1

0.91

1

0.89

1

sipu/worms_2

0.65

0.63

0.61

0.62

0.6

0

0.6

sipu/worms_64

0.72

0.68

0

0.66

0.72

0

0.72

nmi

Summary statistics for nmi (best=1.0):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

0.77

0.17

0.57

0.67

0.74

0.9

1

Genie_0.3

6

0.7

0.24

0.37

0.59

0.66

0.88

1

Genie_0.5

6

0.49

0.42

0

0.19

0.41

0.84

1

ITM

6

0.75

0.15

0.56

0.63

0.75

0.87

0.91

K-means

6

0.72

0.22

0.5

0.53

0.66

0.91

1

Single linkage

6

0.15

0.36

0

0

0

0

0.89

Ward linkage

6

0.75

0.17

0.56

0.62

0.7

0.87

1

Ranks for nmi (best=1):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

1.5

0.5

1

1

1.5

2

2

Genie_0.3

6

3

1.5

1

2

3

4

5

Genie_0.5

6

4.5

2

1

4

5

6

6

ITM

6

3.8

2.1

1

2.2

4

5.8

6

K-means

6

3

1.9

1

1.2

3

4.8

5

Single linkage

6

6.8

0.4

6

7

7

7

7

Ward linkage

6

2.7

1.6

1

1.2

2.5

3.8

5

Raw results for nmi (best=1.0):

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Ward linkage

mnist/digits

0.75

0.57

0.18

0.83

0.5

0

0.68

mnist/fashion

0.57

0.37

0.21

0.56

0.51

0

0.56

sipu/birch1

0.94

0.94

0.92

0.89

0.98

0

0.92

sipu/birch2

1

1

1

0.91

1

0.89

1

sipu/worms_2

0.65

0.63

0.61

0.62

0.6

0

0.6

sipu/worms_64

0.72

0.68

0

0.66

0.72

0

0.73

npa

Summary statistics for npa (best=1.0):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

0.75

0.22

0.43

0.61

0.77

0.92

1

Genie_0.3

6

0.61

0.33

0.16

0.39

0.61

0.88

1

Genie_0.5

6

0.4

0.43

0

0.06

0.26

0.71

1

ITM

6

0.71

0.15

0.49

0.6

0.75

0.79

0.89

K-means

6

0.67

0.26

0.42

0.44

0.62

0.91

0.99

Single linkage

6

0.1

0.24

0

0

0.01

0.02

0.59

Ward linkage

6

0.68

0.23

0.44

0.48

0.65

0.86

1

Ranks for npa (best=1):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

1.7

0.8

1

1

1.5

2

3

Genie_0.3

6

3.3

1.9

1

2

3.5

5

5

Genie_0.5

6

4.8

1.9

1

5

5.5

6

6

ITM

6

3.2

2

1

1.5

3

4.5

6

K-means

6

3.7

1.9

1

2.5

4

4.8

6

Single linkage

6

6.8

0.4

6

7

7

7

7

Ward linkage

6

3

1.3

1

2.2

3.5

4

4

Raw results for npa (best=1.0):

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Ward linkage

mnist/digits

0.7

0.35

0.07

0.89

0.48

0.01

0.58

mnist/fashion

0.43

0.16

0.06

0.56

0.42

0

0.44

sipu/birch1

0.94

0.94

0.8

0.8

0.96

0

0.91

sipu/birch2

1

1

1

0.77

0.99

0.59

1

sipu/worms_2

0.58

0.51

0.44

0.49

0.43

0.03

0.45

sipu/worms_64

0.84

0.7

0

0.74

0.75

0

0.73

psi

Summary statistics for psi (best=1.0):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

0.7

0.25

0.37

0.51

0.72

0.9

1

Genie_0.3

6

0.57

0.35

0.13

0.31

0.53

0.86

1

Genie_0.5

6

0.36

0.42

0

0.04

0.18

0.63

1

ITM

6

0.65

0.16

0.39

0.57

0.69

0.73

0.85

K-means

6

0.62

0.3

0.31

0.36

0.57

0.88

0.98

Single linkage

6

0.09

0.21

0

0

0

0

0.52

Ward linkage

6

0.62

0.28

0.31

0.39

0.6

0.83

1

Ranks for psi (best=1):

count

mean

std

min

25%

50%

75%

max

Genie_0.1

6

1.5

0.5

1

1

1.5

2

2

Genie_0.3

6

3.3

1.9

1

2

3.5

5

5

Genie_0.5

6

4.8

2

1

4.5

6

6

6

ITM

6

3.2

2

1

1.5

3

4.5

6

K-means

6

3.7

1.5

1

3.2

4

4.8

5

Single linkage

6

6.8

0.4

6

7

7

7

7

Ward linkage

6

3

1.4

1

2.2

3

3.8

5

Raw results for psi (best=1.0):

Genie_0.1

Genie_0.3

Genie_0.5

ITM

K-means

Single linkage

Ward linkage

mnist/digits

0.6

0.28

0.05

0.85

0.43

0

0.5

mnist/fashion

0.37

0.13

0.04

0.53

0.33

0

0.35

sipu/birch1

0.92

0.92

0.73

0.75

0.94

0

0.87

sipu/birch2

1

1

1

0.69

0.98

0.52

1

sipu/worms_2

0.48

0.4

0.32

0.39

0.31

0

0.31

sipu/worms_64

0.84

0.66

0

0.7

0.7

0

0.71

Summary

Medians and means of the partition similarity scores:

../_images/indices_large-3.png

Figure 23 Heat map of median and mean similarity scores