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### sub functions for clusterwise subspace calculation:
# subspace for a single cluster
compute.newsubs <- function(clid, x, act.clustering, dimen){
clusx <- x[which(act.clustering$cluster == clid),]
evd <- eigen(cov(clusx))
if (sum(evd$values == 0) > dimen ) warning("Number of eigenvalues equal 0 is larger than the actual subspace dimension for at least one cluster. The choice of the subspace is arbitrary at this point.")
subspace.k <- evd$vectors[, (ncol(clusx)+1-dimen) : ncol(clusx)]
return(subspace.k)
}
# compute subspaces for all clusters
findvectors <- function(x, act.clustering, dimen){
clids <- 1:length(table(act.clustering$cluster))
subspaces <- lapply(clids, compute.newsubs, x = x, act.clustering = act.clustering, dimen = dimen)
return(subspaces)
}
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