Genetic Pattern Search and Its Application to Brain Image Classification

Table 1

Information of five benchmark functions.

Test function	Function formulation	Optimal point
Hump	4𝑥^21−2.1𝑥^41+𝑥^61/3+ 𝑥1𝑥2−4𝑥^22+4𝑥^42+2	𝐹(−0.0898,0.7126)= 𝐹(0.0898,−0.7126)=; 0.9684
Powell	𝑥1+10𝑥2^2+5𝑥3−𝑥4^2+ 𝑥2−𝑥3^4+10𝑥1−𝑥4^4	𝐹(0,0,0,0)=0
Rosenbrock	100𝑥^21−𝑥2^2+1−𝑥1^2	𝐹(1,1)=0
Schaffer	sin𝑥^21+𝑥^22^1/22−0.51+0.001𝑥^21+𝑥^22^2+1.5	𝐹(0,0)=1
Woods	100𝑥2−𝑥^21^2+1−𝑥1^2+90𝑥4−𝑥^23^2+ 1−𝑥3^2+10.1[𝑥2−1^2+𝑥4−1^2]+19.8(𝑥2−1)(𝑥4−1)	𝐹(1,1,1,1)=0