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Table 3 Inter-cluster SSE

From: Big data: an optimized approach for cluster initialization

Dataset

l

k-means++

k-means ||

R-k-means

R = 5

R = 10

R = 15

Iris (k = 3)

2

6.1616

26.7986

27.7711

30.6586

24.6123

3

35.9525

42.9021

49.8446

38.6484

4

61.6088

52.2022

56.2073

54.6286

5

61.7990

72.3874

71.5324

64.7145

6

67.1798

84.4240

84.6325

76.5402

Sonar (k = 2)

2

5.8666

14.5736

17.4731

18.8364

17.7819

3

23.8098

25.1271

23.5792

24.5343

4

38.7443

35.8578

33.0370

33.5313

5

37.4966

44.7290

42.0556

50.9349

6

49.2615

49.1634

48.6287

48.2908

wine (k = 3)

2

250.9660

229.6661

7676.1558

7284.0679

11,915.8242

3

452.9283

10,663.0315

9865.4811

11,915.8242

4

560.4012

12,216.4932

15,047.1598

14,934.4016

5

667.6036

16,447.1180

18,236.0528

17,421.5611

6

778.0889

21,710.9044

20,372.1126

22,901.5713

3D SN (k = 5)

2

109,336,880

2,168,104,903.3345

48,660,297.0000

2,247,790,621.4291

2,314,450,425.5880

3

53,853,088.0000

101,224,306.0000

2,107,780,481.0000

3,508,908,898.8092

4

85,897,954.0000

114,341,298.6666

3,167,177,199.0000

4,691,745,030.8011

5

108,397,304.0000

123,914,049.0000

4,432,592,406.0000

5,637,602,936.0409

6

331,134,543.0000

556,311,668.0000

6,783,567,832.4096

6,939,717,354.0766

News (k = 5)

2

114.3128

1178.0515

2360.5534

2113.9152

2006.8279

3

2156.5824

3144.6057

3360.4814

3236.0935

4

3163.3691

4404.6432

4359.0314

4689.82083

5

4072.5487

5349.1998

5265.0942

5228.0226

6

6176.2299

6383.6909

6057.0527

6280.4491

Activity (k = 5)

2

23.4528

121.2921

527.6653

569.1061

822.1117

3

218.7024

536.2599

626.7691

828.0986

4

231.9427

550.8495

633.4962

917.1622

5

333.8185

624.6799

724.9864

927.2576

6

461.4125

730.1079

819.8806

1028.3068

Norm10 (k = 4)

2

24.3682

636.3063

709.4414

667.8098

608.8425

3

851.1451

1041.1056

1060.4802

1049.3394

4

1138.5454

1356.5306

1350.7130

1355.4381

5

1555.7457

1673.0125

1774.5042

1773.9882

6

1857.9609

2084.9132

2142.4280

2115.3574

Norm25 (k = 5)

2

214.9796

1229.5679

1223.6761

1165.7223

1291.2499

3

1856.8133

1939.1858

1791.1910

1893.9185

4

2429.2542

2378.6777

2469.8412

2465.6334

5

2888.2870

3115.1088

3158.8707

3122.1037

6

3760.7232

3755.8775

3743.6885

3665.1731