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Table 5 Comparison of the best solutions and stabilities with other algorithms

From: Protein folding prediction in the HP model using ions motion optimization with a greedy algorithm

Sequence*1

E *2

ERS-GA

HHGA

IMOG

Best

Mean

Best

Mean

Best

Mean

1

−15

−15

−12.50

−15

−14.73

− 15

− 14.73

2

− 17

− 13

−10.20

−17

−14.93

− 17

−14.93

3

− 12

− 12

− 8.47

− 12

− 11.57

−12

− 11.57

4

− 24

−20

− 16.17

−23

−21.27

− 23

−21.27

5

−43

−32

−28.13

−41

− 37.30

− 41

− 37.30

6

−41

− 30

− 25.30

−38

−34.10

− 38

−34.10

7

–

−55

−49.43

− 66

− 61.83

− 66

−61.83

8

–

−47

−42.37

−63

− 56.53

−63

−56.53

  1. *1Sequences from Table 1. Bold number indicates the best solution for the same test sequence
  2. *2E is the best energy value in 2D HP model. E is calculated by the following formula as described previously [9, 10] as mentioned in formula (1) to (3)
  3. ERS-GA elite-based reproduction strategy-genetic algorithm [9], HHGA hybrid of hill climbing and genetic algorithm [9]; IMOG Ions motion optimization with greedy algorithm