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Table 2 Comparison of results of ARACO, RACO, ACOR, and probability-learning methods that model and sample probability distributions

From: An accelerated and robust algorithm for ant colony optimization in continuous functions

Function

ARACO

RACO

ACOR

(1+1) ES

CSA-ES

CMA-ES

IDEA

MBOA

Sphere \( \overrightarrow{x} \):[−3,7]n, n = 10

1.0 (86)

2.23

17.52

15.93

25.48

20.70

79.65

764.65

Ellipsoid \( \overrightarrow{x} \):[−3,7]n, n = 10

1.0 (103)

2.11

112.33

2851.45

4752.42

43.20

69.12

604.85

Cigar \( \overrightarrow{x} \):[−3,7]n, n = 10

1.0 (114.5)

2.05

46.95

20457.64

26829.69

33.53

154.27

402.44

Tablet \( \overrightarrow{x} \):[−3,7]n, n = 10

1.0 (89)

2.28

28.84

1326.76

1874.77

49.03

83.64

692.22

Rosenbrock \( \overrightarrow{x} \):[−5,5]n, n = 10

*1.0 (997)

1.25

*7.93

*367.79

1298.09

7.21

*1514.44

*7932.79