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#' Calculate the chi-squared distance
#'
#' Calculate the chi-squared distance of two any pair-wise samples x_i and x_j for discrete variables
#'
#' @param X A sample-feature matrix with rows as samples and columns as features
#'
#' @param C The same as X
#'
#' @return A matrix whose elements at (i,j) is the chi-squared distance of two any pair-wise samples x_i and x_j
#' @author Xiaoyao Yin
#' @examples
#'
#' data_list <- simu_data_gen()
#' X <- data_list[[1]]
#' C <- X
#' Diff <- dist2chi(X,C)
#' @rdname dist2chi
#' @export
dist2chi <- function(X,C) {
ndata = nrow(X)
ncentres = nrow(C)
meanX = apply(X,2,mean)
meanC = apply(C,2,mean)
res = matrix(0,ndata,ncentres)
for (i in 1:ndata)
{
for (j in 1:ncentres)
{
res[i,j] = sum((X[i,]-C[j,])^2/(X[i,]+C[j,]))/2
}
}
return(res)
}
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