DeJongF4Factory: Factory for function F4 (30-dimensional quartic with noise)

In xegaSelectGene: Selection of Genes and Gene Representation Independent Functions

Factory for function F4 (30-dimensional quartic with noise)

Description

This function factory sets up the problem environment for De Jong's function F4. F4 is a 30-dimensional quartic function with Gaussian noise. It is a continuous, convex, unimodal, high-dimensional quartic function with Gaussian noise. For validation, \epsilon = 3*\sigma will work most of the time. Note: There exist 2^{30} maxima (without noise)!

Usage

DeJongF4Factory()

Value

A problem environment represented as a list of functions:

• $name(): The name of the problem environment.

• $bitlength(): The vector of the number of bits of each parameter of the function.

• $genelength(): The number of bits of the gene.

• $lb(): The vector of lower bounds of the parameters.

• $ub(): The vector of upper bounds of the parameters.

• $f(parm, gene=0, lF=0)): The fitness function.

Additional elements:

• $describe(): Print a description of the problem environment to the console.

• $solution(): The solution structure. A named list with minimum, maximum and 2 lists of equivalent solutions: minpoints, maxpoints.

References

De Jong, Kenneth A. (1975): An Analysis of the Behavior of a Class of Genetic Adaptive Systems. PhD thesis, Michigan, Ann Arbor, pp. 203-206. <https://deepblue.lib.umich.edu/handle/2027.42/4507>

See Also

Other Problem Environments: DelayedPFactory(), Parabola2DEarlyFactory(), Parabola2DErrFactory(), Parabola2DFactory(), envXOR, lau15, newEnvXOR(), newTSP()

Examples

DeJongF4<-DeJongF4Factory()
DeJongF4$name()
DeJongF4$bitlength()
DeJongF4$genelength()
DeJongF4$lb()
DeJongF4$ub()
DeJongF4$f(c(2.01, -1.05, 4.95, -4.3, -3.0))
DeJongF4$f(c(2.01, -1.05, 4.95, -4.3, -3.0))
DeJongF4$describe()
DeJongF4$solution()

xegaSelectGene documentation built on April 16, 2025, 5:12 p.m.