An Analysis of the RBF Hyperparameter Impact on Surrogate-Assisted Evolutionary Optimization

Table 7

Significant performance differences by factor.

(a) Significant differences (s) by BF
BF	s	Test case
Gaussian	0	Ack-05
	1	Gri-05, Ras-05, Gri-10
	2	Ack-10, Ras-10
	3	Dix-05, Ros-05, Dix-10, Ros-10
MQ	0
	1
	2	Ack-05, Ras-05, Ros-05
	3	Dix-05, Gri-05, Ack-10, Dix-10, Gri-10, Ras-10, Ros-10
(b) Significant differences (s) by modality
Modality	s	Test case
High	0	G-Ack-05
	1	G-Gri-05, G-Ras-05, G-Gri-10
	2	G-Ack-10, G-Ras-10, M-Ack-05, M-Ras-05
	3	M-Gri-05, M-Ack-10, M-Gri-10, M-Ras-10
Low	0
	1
	2	M-Ros-05
	3	G-Dix-05, G-Ros-05, G-Dix-10, G-Ros-10, M-Dix-05, M-Dix-10, M-Ros-10
(c) Significant differences by function dimension (d)
Dimension	s	Test cases
5	0	G-Ack-05
	1	G-Gri-05, G-Ras-05
	2	M-Ack-05, M-Ras-05, M-Ros-05
	3	G-Dix-05, G-Ros-05, M-Dix-05, M-Gri-05
10	0
	1	G-Gri-10
	2	G-Ack-10, G-Ras-10
	3	G-Dix-10, G-Ros-10, M-Ack-10, M-Dix-10, M-Gri-10, M-Ras-10, M-Ros-10