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Table 2 The true communities and the inferred communities

From: Overlapping community detection for count-value networks

 

Communities

Size

Ground truth

C1 = \(\{2,3,4,5,7,8,9, 10, 11, 14, 16, 17,18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29\}\)

23

C2 = \(\{1, 3, 4,6, 7,9, 10, 11, 12, 13, 14, 15, 16, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30\}\)

23

C3 = \(\{1,2,5,6,13,17,26,30\}\)

8

C4 = \(\{1,8,15,16,28\}\)

5

C5 = \(\{5,12,17,24,28\}\)

5

C6 = \(\{3,7,10,13,18,30\}\)

6

C7 = \(\{4,12,20,25\}\)

4

C8 = \(\{13,14,23\}\)

3

Inferred result, the 6997th sample

C1 = \(\{2,3,4,5,7,8,9, 10, 11, 14, 16, 17,18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29\}\)

23

C2 = \(\{1, 3, 4,6, 7,9, 10, 11, 12, 13, 14, 15, 16, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30\}\)

23

C3 = \(\{5,12,13,17,24,25,28\}\)

7

C4 = \(\{1,2,5,6,17,26,30\}\)

7

C5 = \(\{1,2,8,15,16,28\}\)

6

C6 = \(\{6,13,18,23,30\}\)

5

C7 = \(\{3,10,21\}\)

3

C8 = \(\{10,13,21\}\)

3

The 1000th sample

C1 = \(V_t\)

30

C2 = \(\{3,4,7,10,11,14,16,20,21,22,23,25,29\}\)

13

C3 = \(\{5,20,23,24,25,27\}\)

6

C4 = \(\{2,5,8,17,26\}\)

5

C5 = \(\{1,2,6,30\}\)

4

C6 = \(\{6,21,26,27,28\}\)

5

C7 = \(\{9,12,14,20,27\}\)

5

C8 = \(\{9,10,30\}\)

3