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Table 2 Median computer time in seconds

From: Sparse clusterability: testing for cluster structure in high dimensions

Case

Dimension

PCA.Dip

PCA.Sil

SPCA.Dip

SPCA.Sil

Dist.Dip

Dist.Sil

01

2

0.00

1.90

0.15

2.10

0.01

6.40

01

10

0.01

2.00

0.30

2.20

0.01

6.50

01

50

0.01

2.00

0.64

2.60

0.01

6.60

01

100

0.02

2.00

1.50

3.40

0.01

6.60

01

500

0.06

2.10

6.90

8.80

0.04

6.70

01

1000

0.12

2.20

14.00

16.00

0.08

7.00

01

5000

0.53

2.70

70.00

72.00

0.49

7.40

01

10000

1.30

3.70

161.00

164.00

1.10

8.40

01

50000

8.20

10.80

808.00

811.00

16.50

24.20

02

2

0.00

2.10

0.15

2.20

0.01

19.00

02

10

0.01

2.00

0.29

2.30

0.01

18.90

02

50

0.01

2.10

0.62

2.70

0.03

19.30

02

100

0.03

2.10

1.50

3.60

0.04

19.00

02

500

0.17

2.30

13.90

16.00

0.16

19.90

02

1000

0.31

2.50

27.00

29.00

0.34

20.00

02

5000

1.66

4.00

145.00

148.00

2.15

22.10

02

10000

4.20

6.80

302.00

305.00

4.60

25.60

02

50000

24.10

26.80

1529.00

1532.00

66.20

87.00

03

2

0.00

2.00

0.14

2.20

0.01

18.90

03

10

0.01

2.00

0.30

2.30

0.01

18.90

03

50

0.01

2.10

0.62

2.70

0.03

19.10

03

100

0.03

2.10

1.50

3.50

0.04

19.10

03

500

0.17

2.30

12.90

15.00

0.16

19.90

03

1000

0.30

2.50

26.00

28.00

0.34

20.00

03

5000

1.67

4.10

146.00

148.00

2.14

22.30

03

10000

4.20

6.90

303.00

305.00

4.60

25.50

03

50000

24.00

26.70

1535.00

1538.00

66.90

88.20

04

2

0.00

2.00

0.15

2.20

0.01

18.90

04

10

0.01

2.00

0.29

2.30

0.01

18.80

04

50

0.01

2.10

0.61

2.70

0.03

18.90

04

100

0.03

2.10

1.40

3.50

0.04

19.40

04

500

0.17

2.30

12.80

14.80

0.16

19.80

04

1000

0.30

2.50

25.00

27.00

0.34

20.00

04

5000

1.63

4.00

146.00

148.00

2.12

22.20

04

10000

4.20

6.80

306.00

308.00

4.60

25.40

04

50000

23.90

26.60

1533.00

1536.00

66.90

87.80

05

2

0.00

2.00

0.15

2.20

0.01

13.30

05

10

0.01

2.00

0.30

2.30

0.01

13.00

05

50

0.01

2.00

0.62

2.60

0.02

13.10

05

100

0.02

2.00

1.40

3.40

0.03

13.40

05

500

0.12

2.20

10.60

12.60

0.11

13.80

05

1000

0.23

2.30

21.00

23.00

0.22

14.00

05

5000

1.13

3.50

117.00

120.00

1.62

15.90

05

10000

3.10

5.60

261.00

263.00

3.60

18.30

05

50000

17.80

20.40

1295.00

1298.00

42.10

56.90

06

2

0.00

2.10

0.15

2.30

0.02

27.10

06

10

0.01

2.00

0.29

2.40

0.02

26.90

06

50

0.01

2.10

0.61

2.70

0.04

27.10

06

100

0.03

2.10

1.40

3.50

0.06

27.30

06

500

0.24

2.40

15.70

17.90

0.26

28.00

06

1000

0.44

2.60

31.00

34.00

0.66

28.00

06

5000

2.44

5.00

186.00

189.00

3.80

32.90

06

10000

5.80

8.60

377.00

379.00

8.20

37.70

06

50000

33.60

36.50

1887.00

1890.00

115.90

145.80

07

2

0.01

2.20

0.14

2.50

0.06

109.20

07

10

0.01

2.30

0.30

2.60

0.08

109.10

07

50

0.02

2.40

0.62

2.90

0.14

111.20

07

100

0.05

2.40

1.40

3.70

0.23

111.70

07

500

0.68

3.10

33.20

35.50

1.28

114.10

07

1000

1.59

4.00

65.00

67.00

3.26

118.00

07

5000

7.97

10.70

351.00

354.00

17.81

133.00

07

10000

17.10

20.30

725.00

728.00

39.30

155.90

07

50000

108.10

110.90

9616.00

9619.00

543.70

663.20

08

2

0.01

2.20

0.14

2.40

0.03

53.60

08

10

0.01

2.20

0.30

2.50

0.04

54.10

08

50

0.02

2.20

0.60

2.80

0.07

54.70

08

100

0.04

2.30

1.40

3.70

0.11

54.50

08

500

0.37

2.60

22.40

24.60

0.49

55.90

08

1000

0.78

3.20

44.00

47.00

1.40

58.00

08

5000

4.38

7.10

250.00

253.00

8.60

65.60

08

10000

9.60

12.40

496.00

499.00

18.90

77.80

08

50000

1.30

1.40

54.00

54.00

6.60

7.60

09

2

0.01

2.20

0.15

2.40

0.03

54.60

09

10

0.01

2.10

0.29

2.50

0.04

54.00

09

50

0.02

2.20

0.61

2.80

0.07

55.30

09

100

0.04

2.30

1.40

3.70

0.11

54.70

09

500

0.38

2.60

22.20

24.50

0.50

55.80

09

1000

0.79

3.20

45.00

48.00

1.42

59.00

09

5000

4.36

7.00

251.00

254.00

8.50

65.90

09

10000

9.70

12.50

499.00

501.00

18.80

77.20

09

50000

1.20

1.30

51.00

51.00

5.60

6.70

10

2

0.01

2.20

0.15

2.40

0.03

54.00

10

10

0.01

2.20

0.29

2.50

0.04

53.80

10

50

0.02

2.20

0.61

2.80

0.07

54.70

10

100

0.04

2.30

1.40

3.70

0.11

54.80

10

500

0.37

2.70

22.60

24.80

0.49

55.80

10

1000

0.78

3.20

44.00

47.00

1.39

58.00

10

5000

4.41

7.10

250.00

252.00

8.63

66.40

10

10000

9.80

12.70

498.00

501.00

18.80

76.80

10

50000

1.20

1.30

51.00

51.00

5.80

6.90