N-D Test Functions Y

class YaoLiu04(dimensions=2)

Yao-Liu 4 objective function.

This class defines the Yao-Liu function 4 global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional YaoLiu04 function

Global optimum: for for

Mishra, S. Global Optimization by Differential Evolution and Particle Swarm Methods: Evaluation on Some Benchmark Functions. Munich Personal RePEc Archive, 2006, 1005

Todo

line 1201. Gavana code and documentation differ. max(abs(x)) != abs(max(x))

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class YaoLiu09(dimensions=2)

Yao-Liu 9 objective function.

This class defines the Yao-Liu function 9 global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional YaoLiu09 function

Global optimum: for for

Gavana, A. Global Optimization Benchmarks and AMPGO

Todo

Yao-Liu Fast Evolutionary programming is the the original ref.