Computational Intelligence and Neuroscience

Research Article

Enhanced Differential Evolution Algorithm with Local Search Based on Hadamard Matrix

Table 5

Experimental results of jDE, SaDE, ODE, OXDE, and jDEHLS for all functions.
 jDESaDEODEOXDEjDEHLS
f11.31e − 61 ± 2.02e − 61-4.10e − 131 ± 1.54e − 130+1.39e − 75 ± 6.59e − 75-3.67e − 59 ± 7.32e − 59-2.83E − 118 ± 1.05E − 117
f21.91e − 36 ± 1.75e − 36-2.80e − 79 ± 5.88e − 79+1.21e − 23 ± 1.29e − 23-4.09e − 33 ± 3.66e − 33-3.92E − 62 ± 1.13E − 61
f32.67e − 07 ± 4.76e − 07-5.66e − 07 ± 1.25e − 06-4.98e − 08 ± 6.62e − 08-2.91e − 05 ± 3.39e − 05-6.29E − 09 ± 1.80E − 08
f48.05e − 01 ± 1.72e + 00-2.11e − 07 ± 1.15e − 06-2.89e − 10 ± 1.58e − 09-7.08e + 00 ± 4.64e + 00-2.15E − 94 ± 1.18E − 93
f59.58e + 00 ± 9.25e − 01-3.14e + 00 ± 2.61e + 00+2.53e + 01 ± 8.26e − 01-1.20e + 00 ± 1.86e + 00+4.68E + 00 ± 1.06E + 01
f60.00e + 00 ± 0.00e + 00≈0.00e + 00 ± 0.00e + 00≈0.00e + 00 ± 0.00e + 00≈0.00e + 00 ± 0.00e + 00≈0.00E + 00 ± 0.00E + 00
f73.38e − 03 ± 8.43e − 04-2.60e − 03 ± 1.10e − 03-7.87e − 04 ± 2.23e − 04-4.08e − 03 ± 1.59e − 03-4.68E − 04 ± 3.12E − 04
f83.82e − 04 ± 0.00e + 00≈3.82e − 04 ± 0.00e + 00≈6.57e + 03 ± 5.69e + 02-3.94e + 00 ± 2.16e + 01-3.82E − 04 ± 0.00+00
f90.00e + 00 ± 0.00e + 00≈0.00e + 00 ± 0.00e + 00≈2.91e + 01 ± 1.78e + 01-1.01e + 01 ± 2.79e + 00-0.00E + 00 ± 0.00E + 00
f103.91e − 15 ± 1.08e − 15-1.24e − 01 ± 3.22e − 01-3.55e − 15 ± 0.00e + 00-3.10e − 02 ± 1.70e − 01-0.00E + 00 ± 0.00E + 00
f110.00e + 00 ± 0.00e + 00≈2.22e − 03 ± 4.90e − 03-1.15e − 03 ± 3.02e − 03-1.15e − 03 ± 3.09e − 03-0.00E + 00 ± 0.00E + 00
f121.57e − 32 ± 5.57e − 48≈3.46e − 03 ± 1.89e − 02≈1.58e − 32 ± 2.63e − 34-1.04e − 02 ± 3.16e − 02-1.57E − 32 ± 5.57E − 48
f131.35e − 32 ± 5.57e − 48≈1.10e − 03 ± 3.3e − 03≈1.37e − 32 ± 9.00e − 34≈1.83e − 03 ± 8.20e − 03≈1.35E − 32 ± 5.57E − 48
f140.00e + 00 ± 0.00e + 00≈1.64e − 33 ± 9.00e − 33≈6.57e − 33 ± 3.60e − 32≈1.31e − 31 ± 5.89e − 310.00E + 00 ± 0.00E + 00
f152.07e − 07 ± 2.95e − 07-3.28e − 07 ± 5.69e − 07-1.03e − 07 ± 2.14e − 07-1.45e − 05 ± 1.59e − 05-5.6E − 08 ± 2.93E − 07
f163.87e − 07 ± 4.23e − 07-1.66e − 01 ± 5.26e − 01-1.21e − 07 ± 1.63e − 07+1.15e − 04 ± 1.95e − 04-1.99E − 07 ± 1.08E − 06
f170.00e + 00 ± 0.00e + 00≈2.22e − 03 ± 5.35e − 03-3.29e − 04 ± 1.80e − 03≈2.55e − 03 ± 4.51e − 03-0.00E + 00 ± 0.00E + 00
f183.67e − 15 ± 6.49e − 16-3.10e − 02 ± 1.70e − 01-3.55e − 15 ± 0.00e + 00-3.55e − 15 ± 0.00e + 00-0.00E + 00 ± 0.00E + 00
f191.57e − 32 ± 5.57e − 48≈1.18e − 02 ± 3.21e − 02-1.57e − 32 ± 5.57e − 48≈1.58e − 32 ± 3.29e − 34≈1.57E − 32 ± 5.57E − 48
f201.35e − 32 ± 5.57e − 48≈3.66e − 04 ± 2.01e − 03≈1.61e − 32 ± 1.44e − 32≈1.10e − 03 ± 3.35e − 03-1.35E − 32 ± 5.57E − 48
−/+/≈10/0/010/3/713/1/616/1/3