Skip to Main Content
Table 3:
Evaluation criteria for fitness proportional and truncation selection at n=30. IMMA-P denotes the IMMA with proportional selection, while IMMA-T denotes IMMA with truncation selection. Columns pv and pn list the p values of the rank sum test on the results of the best error criterion and the NFE criterion, respectively. — denotes that the rank sum test is not necessary either because both algorithms are fully successful (no pv is available) or fully failed (no pn is available). denotes that the algorithm stops at the maximum NFEs, that is, .
IMMA-PIMMA-T
FunctionAVGESDEAVGNSDN(SUC)AVGESDEAVGNSDN(SUC)pvpn
f1 0.00e+00 0.00e+00 7.20e+03 4.74e+02(25) .00e+00 0.00e+00 6.55e+03 6.27e+02(25) — <.001 
f2 7.03e–12 1.36e–11 9.51e+03 1.19e+03(25) 6.22e–12 2.57e–12 1.00e+04 1.03e+03(25) — .133 
f3 3.03e–08 5.36e–07 3.95e+04 2.12e+03(25) 1.51e–08 1.54e–08 3.13e+04 2.57e+03(25) — <.001 
f28 2.11e–32 4.00e–32 8.72e+03 7.52e+03(25) 1.93e–34 2.85e–34 6.30e+03 3.56e+02(25) — <.001 
f29 2.20e–14 7.11e–15 2.78e+04 1.66e+04(25) 2.11e–14 7.80e–15 2.67e+04 6.21e+03(25) — .759 
f30 9.78e–14 8.75e–14 9.14e+03 7.23e+02(25) 1.63e–13 3.26e–13 7.68e+03 3.28e+03(25) — .040 
f32 4.29e–04 1.63e–04 3.13e+04 1.47e+04(25) 3.82e–04 7.00e–13 1.47e+04 3.74e+03(25) — <.001 
f33 8.42e–14 2.26e–13 9.42e+04 7.78e+04(25) 3.09e–14 3.02e–14 2.02e+04 9.15e+03(25) — <.001 
f37 2.96e–10 1.30e–09 1.37e+04 7.36e+03(25) 4.73e–11 4.06e–11 1.93e+04 1.65e+03(25) — .001 
f4 6.52e+04 9.10e+03 2.94e+04 6.16e+03 <.001 — 
f5 2.61e+03 8.78e+02 1.68e+03 3.27e+02 <.001 — 
f8 2.00e+01 1.88e–10 2.00e+01 1.12e–10 1.000 — 
f26 1.87e+00 2.12e–01 2.84e–01 4.73e–02 <.001 — 
f27 5.00e+02 9.51e+01 4.13e+01 4.97e+01 <.001 — 
f6 1.91e+03 8.78e+02 3.18e–10 2.56e–10 3.11e+04 3.03e+04(25) <.001 <0.000 
f7 3.54e+04 8.78e+03 1.31e–12 4.79e–12 1.02e+04 6.28e+03(25) <.001 <.001 
f9 2.43e+00 2.17e+00 2.28e+05 6.55e+04(7) 1.09e–03 3.03e–03 3.94e+04 1.46e+04(25) <.001 <.001 
f10 3.43e+01 6.87e–01 2.59e+05 9.85e+04(5) 1.90e–03 3.48e–03 4.20e+04 1.61e+04(25) <.001 <.001 
f31 3.46e+00 2.26e+00 2.90e+05 3.79e+04(2) 3.69e–11 1.10e–10 4.69e+04 1.46e+04(25) <.001 <.001 
f34 2.41e–02 5.22e–02 2.21e+05 5.05e+04(13) 5.56e–13 4.21e–13 4.02e+04 2.22e+04(25) .030 <.001 
IMMA-PIMMA-T
FunctionAVGESDEAVGNSDN(SUC)AVGESDEAVGNSDN(SUC)pvpn
f1 0.00e+00 0.00e+00 7.20e+03 4.74e+02(25) .00e+00 0.00e+00 6.55e+03 6.27e+02(25) — <.001 
f2 7.03e–12 1.36e–11 9.51e+03 1.19e+03(25) 6.22e–12 2.57e–12 1.00e+04 1.03e+03(25) — .133 
f3 3.03e–08 5.36e–07 3.95e+04 2.12e+03(25) 1.51e–08 1.54e–08 3.13e+04 2.57e+03(25) — <.001 
f28 2.11e–32 4.00e–32 8.72e+03 7.52e+03(25) 1.93e–34 2.85e–34 6.30e+03 3.56e+02(25) — <.001 
f29 2.20e–14 7.11e–15 2.78e+04 1.66e+04(25) 2.11e–14 7.80e–15 2.67e+04 6.21e+03(25) — .759 
f30 9.78e–14 8.75e–14 9.14e+03 7.23e+02(25) 1.63e–13 3.26e–13 7.68e+03 3.28e+03(25) — .040 
f32 4.29e–04 1.63e–04 3.13e+04 1.47e+04(25) 3.82e–04 7.00e–13 1.47e+04 3.74e+03(25) — <.001 
f33 8.42e–14 2.26e–13 9.42e+04 7.78e+04(25) 3.09e–14 3.02e–14 2.02e+04 9.15e+03(25) — <.001 
f37 2.96e–10 1.30e–09 1.37e+04 7.36e+03(25) 4.73e–11 4.06e–11 1.93e+04 1.65e+03(25) — .001 
f4 6.52e+04 9.10e+03 2.94e+04 6.16e+03 <.001 — 
f5 2.61e+03 8.78e+02 1.68e+03 3.27e+02 <.001 — 
f8 2.00e+01 1.88e–10 2.00e+01 1.12e–10 1.000 — 
f26 1.87e+00 2.12e–01 2.84e–01 4.73e–02 <.001 — 
f27 5.00e+02 9.51e+01 4.13e+01 4.97e+01 <.001 — 
f6 1.91e+03 8.78e+02 3.18e–10 2.56e–10 3.11e+04 3.03e+04(25) <.001 <0.000 
f7 3.54e+04 8.78e+03 1.31e–12 4.79e–12 1.02e+04 6.28e+03(25) <.001 <.001 
f9 2.43e+00 2.17e+00 2.28e+05 6.55e+04(7) 1.09e–03 3.03e–03 3.94e+04 1.46e+04(25) <.001 <.001 
f10 3.43e+01 6.87e–01 2.59e+05 9.85e+04(5) 1.90e–03 3.48e–03 4.20e+04 1.61e+04(25) <.001 <.001 
f31 3.46e+00 2.26e+00 2.90e+05 3.79e+04(2) 3.69e–11 1.10e–10 4.69e+04 1.46e+04(25) <.001 <.001 
f34 2.41e–02 5.22e–02 2.21e+05 5.05e+04(13) 5.56e–13 4.21e–13 4.02e+04 2.22e+04(25) .030 <.001 
Close Modal

or Create an Account

Close Modal
Close Modal