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Table 2 The characteristics of the scale-free and small-world for ten clusters

From: Design of a reservoir for cloud-enabled echo state network with high clustering coefficient

Clusters

01

02

03

04

05

06

07

08

09

10

Reservoir type

HCESN-KM

Cluster size

121

115

99

92

103

86

88

108

85

103

Average path length

2.0370

2.0713

1.9376

1.9741

1.9987

1.9586

1.9321

2.0119

1.9836

1.9989

Clustering coefficient

0.3955

0.4001

0.4828

0.4767

0.4097

0.4495

0.4698

0.4711

0.4247

0.4092

Correlation coefficient

0.9851

0.9897

0.9848

0.9860

0.9881

0.9898

0.9824

0.9875

0.9802

0.9825

Reservoir type

HCESN-GA

Cluster size

94

102

86

110

93

95

127

108

103

82

Average path length

1.9801

1.8813

1.9616

2.0751

1.9668

1.9696

2.0833

2.0041

1.8874

1.8931

Clustering coefficient

0.4604

0.4101

0.4186

0.4369

0.4867

0.4491

0.4554

0.4798

0.4366

0.4287

Correlation coefficient

0.9889

0.9834

0.9811

0.9799

0.9871

0.9810

0.9900

0.9839

0.9834

0.9812

Reservoir type

HCESN-DE

Cluster size

98

105

104

101

78

116

93

117

85

103

Average path length

1.9789

2.0854

2.0156

1.8809

1.8857

2.0015

1.9411

2.0048

1.9607

1.8787

Clustering coefficient

0.3454

0.4605

0.4251

0.4249

0.4357

0.4491

0.4854

0.3981

0.4257

0.4602

Correlation coefficient

0.9801

0.9800

0.9802

0.9851

0.9891

0.9901

0.9889

0.9813

0.9864

0.9860

Reservoir typ

HCESN-PSO

Cluster size

83

107

99

103

121

84

99

108

87

109

Average path length

1.9121

2.0103

1.9526

1.8214

1.9678

1.9423

1.9512

1.9943

1.8837

1.9949

Clustering coefficient

0.4221

0.4787

0.4874

0.4609

0.4112

0.4425

0.4824

0.4842

0.4214

0.4782

Correlation coefficient

0.9827

0.9881

0.9953

0.9910

0.9871

0.9890

0.9959

0.9893

0.9872

0.9901