An Adaptive Cauchy Differential Evolution Algorithm for Global Numerical Optimization

Table 4

The experiment result of comparison of adaptive Cauchy DE with FEP and CEP.

	GEN	Adaptive Cauchy DE		DE/rand/1/bin		FEP		CEP
		Mean	Std	Mean	Std	Mean	Std	Mean	Std
𝐹1	1500	𝟓.𝟎𝐄−𝟑𝟔	𝟗.𝟒𝐄−𝟑𝟔	7.9𝐸−14	6.8𝐸−14	5.7𝐸−04	1.3𝐸−04	2.2𝐸−04	5.9𝐸−04
𝐹2	2000	𝟐.𝟒𝐄−𝟑𝟎	𝟏.𝟔𝐄−𝟑𝟎	1.2𝐸−09	6.7𝐸−10	8.1𝐸−03	7.7𝐸−04	2.6𝐸−03	1.7𝐸−04
𝐹3	5000	𝟐.𝟗𝐄−𝟏𝟐	𝟏.𝟏𝐄−𝟏𝟐	3.3𝐸−02	7.2𝐸−02	3.0𝐸−01	5.0𝐸−01	2.0𝐸+00	1.2𝐸+00
𝐹4	1500	𝟎.𝟎𝐄+𝟎𝟎	𝟎.𝟎𝐄+𝟎𝟎	𝟎.𝟎𝐄+𝟎𝟎	𝟎.𝟎𝐄+𝟎𝟎	𝟎.𝟎𝐄+𝟎𝟎	𝟎.𝟎𝐄+𝟎𝟎	5.8𝐸+02	1.1𝐸+03
𝐹5	3000	𝟑.𝟎𝐄−𝟎𝟑	𝟔.𝟗𝐄−𝟎𝟒	4.6𝐸−03	1.0𝐸−03	7.6𝐸−03	2.6𝐸−03	1.8𝐸−02	6.4𝐸−03
𝐹6	9000	−𝟏𝟐𝟓𝟔𝟗.𝟓	𝟕.𝟑𝐄−𝟏𝟐	−11095.3	5.2𝐸+02	−12554.5	5.3𝐸+01	−7917.1	6.3𝐸+02
𝐹7	5000	𝟎.𝟎𝐄+𝟎𝟎	𝟎.𝟎𝐄+𝟎𝟎	7.1𝐸+01	2.9𝐸+01	4.6𝐸−02	1.2𝐸−02	8.9𝐸+01	2.3𝐸+01
𝐹8	1500	𝟑.𝟑𝐄−𝟏𝟓	𝟕.𝟎𝐄−𝟏𝟔	9.2𝐸−08	4.0𝐸−08	1.8𝐸−02	2.1𝐸−03	9.2𝐸+00	2.8𝐸+00
𝐹9	2000	𝟎.𝟎𝐄+𝟎𝟎	𝟎.𝟎𝐄+𝟎𝟎	3.9𝐸−04	2.0𝐸−03	1.6𝐸−02	2.2𝐸−02	8.6𝐸−02	1.2𝐸−01
𝐹10	1500	𝟏.𝟔𝐄−𝟑𝟐	𝟓.𝟓𝐄−𝟒𝟖	6.5𝐸−15	5.6𝐸−15	9.2𝐸−06	3.6𝐸−06	1.8𝐸+00	2.4𝐸+00
𝐹11	1500	𝟏.𝟑𝐄−𝟑𝟐	𝟏.𝟏𝐄−𝟒𝟕	5.9𝐸−14	4.9𝐸−14	1.6𝐸−04	7.3𝐸−05	1.4𝐸+00	3.7𝐸+00