| DeJongF4Factory {xegaSelectGene} | R Documentation |
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. -
$solution(): The solution structure. A named list withminimum,maximumand 2 lists of equivalent solutions:minpoints,maxpoints.
References
De Jong, Kenneth A. (1975): An Analysis of the Behavior of a Class of Genetic Adaptive Systems. PhD thesis, Michigan, Ann Arbor, pp. 203-206. <https://deepblue.lib.umich.edu/handle/2027.42/4507>
See Also
Other Problem Environments:
DelayedPFactory(),
Parabola2DEarlyFactory(),
Parabola2DErrFactory(),
Parabola2DFactory(),
envXOR,
lau15,
newEnvXOR(),
newTSP()
Examples
DeJongF4<-DeJongF4Factory()
DeJongF4$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()