Hierarchical Genetic Algorithm for B-Spline Surface Approximation of Smooth Explicit Data

Table 4

Simulation results. Mean of the computed MSEs with estimated standard errors based on 100 test sets.

Test	Algorithm	SNR = 2	SNR = 3	SNR = 4
1	LOWESS	0.049889 ± 0.000722	0.044644 ± 0.000461	0.043435 ± 0.000349
	HGA	0.020792 ± 0.001195	0.013381 ± 0.000757	0.011380 ± 0.000824
2	LOWESS	0.029555 ± 0.000464	0.026570 ± 0.000325	0.024656 ± 0.000180
	HGA	0.028086 ± 0.002732	0.025059 ± 0.004591	0.017700 ± 0.002964
3	LOWESS	0.039298 ± 0.000621	0.035072 ± 0.000337	0.033791 ± 0.000218
	HGA	0.030230 ± 0.002457	0.014920 ± 0.001158	0.013911 ± 0.001307
4	LOWESS	0.018480 ± 0.000434	0.014860 ± 0.000172	0.013765 ± 0.000163
	HGA	0.017167 ± 0.000538	0.009926 ± 0.000295	0.006886 ± 0.000221