Dear all,
I am looking for study material and basics of composite unconstrained benchmark functions. I have gone through many research papers. Composite functions are stated in various research paper as follows:
Example:
CF1:
f1, f2, f3, . . ., f10 = Sphere Function 10 [5, 5] 0
[sigma1 ,sigma2, sigma3; . . . ,sigma10]=[1, 1, 1, . . . , 1]
[lemda1, lemda2, lemda3 . . ., lemda10] = [5/100, 5/100, 5/100, . . ., 5/100]
Please help me to convert above version into equations similar to other benchmark functions
Thanks
http://dx.doi.org/10.1016/j.advengsoft.2013.12.007
The composite function (CF) is a composition of two or more functions. If f(x) and g(x) are two functions, then (gof)(x) = g(f(x)) is a composite function (similarly f(g(x)) is a composite function). While the domain x could be restricted, the output of composite function can be unconstrained. In the examples, perhaps CF1 takes fi, sigmai, and lambdai as primitives (i = 1 to 10).
Dear Kumar Digvijay Mishra,
Thank you very much for your valuable answer. It clarify some basics, yet It seems difficult.
Would you please add an example of a composite function. So I can have real meaning of composite function.
Thanks ones again
And
[sigma1 ,sigma2, sigma3; . . . ,sigma10]=[1, 1, 1, . . . , 1]
[lemda1, lemda2, lemda3 . . ., lemda10] = [5/100, 5/100, 5/100, . . ., 5/100]
means
This may help: http://www.cil.pku.edu.cn/resources/pso_paper/src/Optimization-Tech-Report-May-30-05.pdf
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