Calculate Depth Space using Simplicial Depth
Calculates the representation of the training classes in depth space using simplicial depth.
depth.space.simplicial(data, cardinalities, exact = F, k = 0.05, seed = 0)
data |
Matrix containing training sample where each row is a d-dimensional object, and objects of each class are kept together so that the matrix can be thought of as containing blocks of objects representing classes. |
cardinalities |
Numerical vector of cardinalities of each class in |
exact |
|
k |
Number (k>1) or portion (if 0<k<1) of simplices that are considered if |
seed |
The random seed. The default value |
The depth representation is calculated in the same way as in depth.simplicial, see 'References' for more information and details.
Matrix of objects, each object (row) is represented via its depths (columns) w.r.t. each of the classes of the training sample; order of the classes in columns corresponds to the one in the argument cardinalities.
Chaudhuri, P. (1996). On a geometric notion of quantiles for multivariate data. Journal of the American Statistical Association 91 862–872.
Liu, R. Y. (1990). On a notion of data depth based on random simplices. The Annals of Statistics 18 405–414.
Rousseeuw, P.J. and Ruts, I. (1996). Algorithm AS 307: Bivariate location depth. Journal of the Royal Statistical Society. Seriec C (Applied Statistics) 45 516–526.
ddalpha.train and ddalpha.classify for application, depth.simplicial for calculation of simplicial depth.
# Generate a bivariate normal location-shift classification task
# containing 20 training objects
class1 <- mvrnorm(10, c(0,0),
matrix(c(1,1,1,4), nrow = 2, ncol = 2, byrow = TRUE))
class2 <- mvrnorm(10, c(1,1),
matrix(c(1,1,1,4), nrow = 2, ncol = 2, byrow = TRUE))
data <- rbind(class1, class2)
# Get depth space using simplicial depth
depth.space.simplicial(data, c(10, 10))
data <- getdata("hemophilia")
cardinalities = c(sum(data$gr == "normal"), sum(data$gr == "carrier"))
depth.space.simplicial(data[,1:2], cardinalities)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.