An Adaptive Cauchy Differential Evolution Algorithm for Global Numerical Optimization

Table 5

The experiment result of comparison of adaptive Cauchy DE with adaptive LEP and best Lévy.

	GEN	Adaptive Cauchy DE		DE/rand/1/bin		Adaptive LEP		Best Lévy
		Mean	Std	Mean	Std	Mean	Std	Mean	Std
𝐹1	1500	𝟒.𝟕𝐄−𝟑𝟔	𝟓.𝟏𝐄−𝟑𝟔	7.2𝐸−14	7.9𝐸−14	6.3𝐸−04	7.6𝐸−05	6.6𝐸−04	6.4𝐸−05
𝐹6	1500	−𝟏𝟐𝟓𝟔𝟗.𝟓	𝟕.𝟑𝐄−𝟏𝟐	−6506.71	6.7𝐸+02	−11469.2	5.8𝐸+01	−11898.2	5.2𝐸+01
𝐹7	1500	𝟎.𝟎𝐄+𝟎𝟎	𝟎.𝟎𝐄+𝟎𝟎	1.7𝐸+02	1.2𝐸+01	5.9𝐸+00	2.1𝐸+00	1.3𝐸+01	2.3𝐸+00
𝐹8	1500	𝟑.𝟐𝐄−𝟏𝟓	𝟓.𝟎𝐄−𝟏𝟔	9.1𝐸−08	3.7𝐸−08	1.9𝐸−02	1.0𝐸−03	3.1𝐸−02	2.0𝐸−03
𝐹9	1500	𝟎.𝟎𝐄+𝟎𝟎	𝟎.𝟎𝐄+𝟎𝟎	2.2𝐸−13	1.4𝐸−13	2.4𝐸−02	2.8𝐸−02	1.8𝐸−02	1.7𝐸−02
𝐹10	1500	𝟏.𝟔𝐄−𝟑𝟐	𝟓.𝟓𝐄−𝟒𝟖	7.5𝐸−15	7.2𝐸−15	6.0𝐸−06	1.0𝐸−06	3.0𝐸−05	4.0𝐸−06
𝐹11	1500	𝟏.𝟑𝐄−𝟑𝟐	𝟏.𝟏𝐄−𝟒𝟕	5.4𝐸−14	4.9𝐸−14	9.8𝐸−05	1.2𝐸−05	2.6𝐸−04	3.0𝐸−05