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Table 2:
The comparison between MA-LSch-CMA-ncb and MA-LSch-CMA-acb over 25 independent runs for each of the CEC’05 functions except f7 and f25 (these two functions are excluded as for these only an initialization range is specified). For an explanation of the symbols and their interpretation we refer to the caption of Table 1.
10 dimensions30 dimensions50 dimensions
fcecncbacbncbacbncbacb
f1 1.00E−08    ≈ 1.00E−08 1.00E−08    ≈ 1.00E−08 1.00E−08    ≈ 1.00E−08 
f2 1.00E−08    ≈ 1.00E−08 2.51E−08    ≈ 1.00E−08 8.99E−01    ≈ 3.06E−02 
f3 3.68E+02    > 1.00E−08 4.41E+03 ≈ 2.75E+04 8.11E+04 3.21E+04 
f4 1.00E−08    ≈ 5.54E−03 1.28E+02    < 3.02E+02 5.38E+03 3.23E+03 
f5 7.78E+01 6.75E−07 6.12E+02 1.26E+03 2.08E+03 2.69E+03 
f6 1.00E−08    ≈ 3.19E−01 2.31E+02 1.12E+00 5.58E+02 4.10E+00 
f8 2.00E+01 ≈ 2.00E+01 2.00E+01 ≈ 2.00E+01 2.00E+01 ≈ 2.00E+01 
f9 1.00E−08    ≈ 1.00E−08 1.00E−08    ≈ 1.00E−08 1.00E−08    ≈ 1.00E−08 
f10 3.14E+00    ≈ 2.67E+00 2.00E+01 ≈ 2.25E+01 4.80E+01 ≈ 5.01E+01 
f11 4.53E+00 2.43E+00 2.20E+01 ≈ 2.15E+01 3.95E+01 4.13E+01 
f12 2.95E+02 ≈ 1.14E+02 7.52E+02 1.67E+03 4.56E+03 1.39E+04 
f13 5.03E−01    ≈ 5.45E−01 2.04E+00    ≈ 2.03E+00 3.67E+00    > 3.15E+00 
f14 2.87E+00 2.25E+00 1.32E+01 1.25E+01 2.30E+01 2.22E+01 
f15 2.27E+02 ≈ 2.24E+02 2.59E+02 3.00E+02 2.29E+02 3.72E+02 
f16 9.45E+01 ≈ 9.18E+01 1.06E+02 ≈ 1.26E+02 5.91E+01 6.90E+01 
f17 1.04E+02    ≈ 1.01E+02 1.66E+02 ≈ 1.83E+02 1.41E+02 ≈ 1.47E+02 
f18 8.20E+02 8.84E+02 8.22E+02 8.98E+02 8.47E+02 9.41E+02 
f19 8.17E+02 ≈ 8.78E+02 8.22E+02 9.01E+02 8.48E+02 9.38E+02 
f20 7.69E+02 ≈ 8.63E+02 8.23E+02 8.96E+02 8.48E+02 9.28E+02 
f21 8.57E+02 ≈ 7.94E+02 8.47E+02 5.12E+02 7.23E+02 5.00E+02 
f22 7.63E+02 7.53E+02 5.34E+02 8.80E+02 5.00E+02 9.14E+02 
f23 8.74E+02    ≈ 8.88E+02 8.40E+02 5.34E+02 7.26E+02 5.39E+02 
f24 3.94E+02 2.28E+02 2.14E+02 2.00E+02 2.21E+02 2.00E+02 
 (<, ≈, >): (1, 16, 6) (<, ≈, >): (8, 10, 5) (<, ≈, >): (8, 6, 9) 
 <or> : 7/23 (30%) <or> : 13/23 (57%) <or> : 17/23 (74%) 
 functions or : 13/23 (57%) functions or : 18/23 (79%) functions or : 19/23 (83%) 
10 dimensions30 dimensions50 dimensions
fcecncbacbncbacbncbacb
f1 1.00E−08    ≈ 1.00E−08 1.00E−08    ≈ 1.00E−08 1.00E−08    ≈ 1.00E−08 
f2 1.00E−08    ≈ 1.00E−08 2.51E−08    ≈ 1.00E−08 8.99E−01    ≈ 3.06E−02 
f3 3.68E+02    > 1.00E−08 4.41E+03 ≈ 2.75E+04 8.11E+04 3.21E+04 
f4 1.00E−08    ≈ 5.54E−03 1.28E+02    < 3.02E+02 5.38E+03 3.23E+03 
f5 7.78E+01 6.75E−07 6.12E+02 1.26E+03 2.08E+03 2.69E+03 
f6 1.00E−08    ≈ 3.19E−01 2.31E+02 1.12E+00 5.58E+02 4.10E+00 
f8 2.00E+01 ≈ 2.00E+01 2.00E+01 ≈ 2.00E+01 2.00E+01 ≈ 2.00E+01 
f9 1.00E−08    ≈ 1.00E−08 1.00E−08    ≈ 1.00E−08 1.00E−08    ≈ 1.00E−08 
f10 3.14E+00    ≈ 2.67E+00 2.00E+01 ≈ 2.25E+01 4.80E+01 ≈ 5.01E+01 
f11 4.53E+00 2.43E+00 2.20E+01 ≈ 2.15E+01 3.95E+01 4.13E+01 
f12 2.95E+02 ≈ 1.14E+02 7.52E+02 1.67E+03 4.56E+03 1.39E+04 
f13 5.03E−01    ≈ 5.45E−01 2.04E+00    ≈ 2.03E+00 3.67E+00    > 3.15E+00 
f14 2.87E+00 2.25E+00 1.32E+01 1.25E+01 2.30E+01 2.22E+01 
f15 2.27E+02 ≈ 2.24E+02 2.59E+02 3.00E+02 2.29E+02 3.72E+02 
f16 9.45E+01 ≈ 9.18E+01 1.06E+02 ≈ 1.26E+02 5.91E+01 6.90E+01 
f17 1.04E+02    ≈ 1.01E+02 1.66E+02 ≈ 1.83E+02 1.41E+02 ≈ 1.47E+02 
f18 8.20E+02 8.84E+02 8.22E+02 8.98E+02 8.47E+02 9.41E+02 
f19 8.17E+02 ≈ 8.78E+02 8.22E+02 9.01E+02 8.48E+02 9.38E+02 
f20 7.69E+02 ≈ 8.63E+02 8.23E+02 8.96E+02 8.48E+02 9.28E+02 
f21 8.57E+02 ≈ 7.94E+02 8.47E+02 5.12E+02 7.23E+02 5.00E+02 
f22 7.63E+02 7.53E+02 5.34E+02 8.80E+02 5.00E+02 9.14E+02 
f23 8.74E+02    ≈ 8.88E+02 8.40E+02 5.34E+02 7.26E+02 5.39E+02 
f24 3.94E+02 2.28E+02 2.14E+02 2.00E+02 2.21E+02 2.00E+02 
 (<, ≈, >): (1, 16, 6) (<, ≈, >): (8, 10, 5) (<, ≈, >): (8, 6, 9) 
 <or> : 7/23 (30%) <or> : 13/23 (57%) <or> : 17/23 (74%) 
 functions or : 13/23 (57%) functions or : 18/23 (79%) functions or : 19/23 (83%) 
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