makeSingleObjectiveFunction function

Generator for single-objective target functions.

makeSingleObjectiveFunction(
  name = NULL,
  id = NULL,
  description = NULL,
  fn,
  has.simple.signature = TRUE,
  vectorized = FALSE,
  par.set,
  noisy = FALSE,
  fn.mean = NULL,
  minimize = TRUE,
  constraint.fn = NULL,
  tags = character(0),
  global.opt.params = NULL,
  global.opt.value = NULL,
  local.opt.params = NULL,
  local.opt.values = NULL
)

Arguments

• name: [character(1)]

  Function name. Used for the title of plots for example.

• id: [character(1) | NULL]

  Optional short function identifier. If provided, this should be a short name without whitespaces and now special characters beside the underscore. Default is NULL, which means no ID at all.

• description: [character(1) | NULL]

  Optional function description.

• fn: [function]

  Objective function.

• has.simple.signature: [logical(1)]

  Set this to TRUE if the objective function expects a vector as input and FALSE

  if it expects a named list of values. The latter is needed if the function depends on mixed parameters. Default is TRUE.

• vectorized: [logical(1)]

  Can the objective function handle vector input, i.~e., does it accept matrix of parameters? Default is FALSE.

• par.set: [ParamSet]

  Parameter set describing different aspects of the objective function parameters, i.~e., names, lower and/or upper bounds, types and so on. See makeParamSet

  for further information.

• noisy: [logical(1)]

  Is the function noisy? Defaults to FALSE.

• fn.mean: [function]

  Optional true mean function in case of a noisy objective function. This functions should have the same mean as fn.

• minimize: [logical(1)]

  Set this to TRUE if the function should be minimized and to FALSE otherwise. The default is TRUE.

• constraint.fn: [function | NULL]

  Function which returns a logical vector indicating whether certain conditions are met or not. Default is NULL, which means, that there are no constraints beside possible box constraints defined via the par.set argument.

• tags: [character]

  Optional character vector of tags or keywords which characterize the function, e.~g. unimodal , separable . See getAvailableTags for a character vector of allowed tags.

• global.opt.params: [list | numeric | data.frame | matrix | NULL]

  Default is NULL which means unknown. Passing a numeric vector will be the most frequent case (numeric only functions). In this case there is only a single global optimum. If there are multiple global optima, passing a numeric matrix is the best choice. Passing a list or a data.frame

  is necessary if your function is mixed, e.g., it expects both numeric and discrete parameters. Internally, however, each representation is casted to a data.frame

  for reasons of consistency.

• global.opt.value: [numeric(1) | NULL]

  Global optimum value if known. Default is NULL, which means unknown. If only the global.opt.params are passed, the value is computed automatically.

• local.opt.params: [list | numeric | data.frame | matrix | NULL]

  Default is NULL, which means the function has no local optima or they are unknown. For details see the description of global.opt.params.

• local.opt.values: [numeric | NULL]

  Value(s) of local optima. Default is NULL, which means unknown. If only the local.opt.params are passed, the values are computed automatically.

Returns

[function] Objective function with additional stuff attached as attributes.

Examples

library(ggplot2)

fn = makeSingleObjectiveFunction(
  name = "Sphere Function",
  fn = function(x) sum(x^2),
  par.set = makeNumericParamSet("x", len = 1L, lower = -5L, upper = 5L),
  global.opt.params = list(x = 0)
)
print(fn)
print(autoplot(fn))

fn.num2 = makeSingleObjectiveFunction(
  name = "Numeric 2D",
  fn = function(x) sum(x^2),
  par.set = makeParamSet(
    makeNumericParam("x1", lower = -5, upper = 5),
    makeNumericParam("x2", lower = -10, upper = 20)
  )
)
print(fn.num2)
print(autoplot(fn.num2))

fn.mixed = makeSingleObjectiveFunction(
  name = "Mixed 2D",
  fn = function(x) x$num1^2 + as.integer(as.character(x$disc1) == "a"),
  has.simple.signature = FALSE,
  par.set = makeParamSet(
    makeNumericParam("num1", lower = -5, upper = 5),
    makeDiscreteParam("disc1", values = c("a", "b"))
  ),
  global.opt.params = list(num1 = 0, disc1 = "b")
)
print(fn.mixed)
print(autoplot(fn.mixed))