c_functionality function

c-functionality calculates the c-functionality based on the maximum edge value We define c-functionality as the aggregated functionality between any two columns of confs

c_functionality(
  confs,
  aggr = NULL,
  alpha = 1,
  C = 15,
  var.thr = 1e-05,
  zeta = NULL
)

Arguments

• confs: a numeric matrix or data frame
• aggr: the aggregation function for configurations of more than two dimensions. Defaults to mean
• alpha: an optional number of cells allowed in the X-by-Y search-grid. Default value is 1
• C: an optional number determining the starting point of the X-by-Y search-grid. When trying to partition the x-axis into X columns, the algorithm will start with at most C X clumps. Default value is 15.
• var.thr: minimum value allowed for the variance of the input variables, since mine can not be computed in case of variance close to 0. Default value is 1e-5.
• zeta: integer in [0,1] (?). If NULL (default) it is set to 1-MIC. It can be set to zero for noiseless functions, but the default choice is the most appropriate parametrization for general cases (as stated in Reshef et al.). It provides robustness.

Returns

a numeric value; functionality (aggregated maximaum edge value MEV, see mine)

Examples

x<-seq(-3,3,length.out=200)
y<-sqrt(3^2-x^2)
z<- sin(y-x)
confs<-cbind(x,y,z)
c_functionality(confs)