mistral (version 2.1.0)

testConvexity: Test the convexity of set of data

Description

Provides the

Usage

testConvexity(X,Y)

Arguments

X

a matrix containing the data sets

Y

a vector containing -1 or +1 that reprensents the class of each elements of X.

Value

An object of class list containing the number of the class which is convex and the parameters of a set of hyperplanes separating the two classes

Details

testConvexity test if one of the two data set is potentially convex.

References

• R.T. Rockafellar: Convex analysis Princeton university press, 2015.

See Also

LSVM modelLSVM

Examples

# NOT RUN {
# A limit state function
f <- function(x){  sqrt(sum(x^2)) - sqrt(2)/2 }

# Creation of the data sets
n <- 200
X <- matrix(runif(2*n), nrow = n)
Y <- apply(X, MARGIN = 1, function(w){sign(f(w))})

# }
# NOT RUN {
  TEST.Convexity <- testConvexity(X, Y)
  if(length(TEST.Convexity) == 2){
    Convexity <- TEST.Convexity[[1]] 
    model.A   <- TEST.Convexity[[2]]
  }
  if(length(TEST.Convexity) == 1){
    # The problem is not convex
    Convexity <- 0 #the problem is not convex
  }
# }
# NOT RUN {
# }