1d:T5bc,# Project a Cut Reference Matrix to a Different Space through an Hilbert Index Starting from a Hilbert Index generated in a high dimensional space, returns a set of coordinates in a new (lower) dimensional space ```r hilbertProjection(hc, target = 2) ``` ## Arguments - `hc`: the hilbert index returned by `do.hilbert` - `target`: the number of dimensions in the target space (defaults to 2) ## Returns a matrix with `target` columns, corresponding to the projection of each Hilbert index to `target` dimensions ## Details Based on the maximum index and the targeted number of dimensions the number of target bins is computed and used to generate a reference matrix and a reference index. The reference matrix is returned, ordered by the reference index. ## Examples ```r # generate a random matrix ncols <- 5 mat <- matrix(rnorm(ncols*5000),ncol=ncols) dimnames(mat)[[2]] <- LETTERS[seq(ncols)] # generate 4 bins with a minimum bin size of 5 horder <- 4 cuts <- make.cut(mat,n=horder+1,count.lim=5) # Generate the cuts and compute the Hilbert index cut.mat <- do.cut(mat,cuts,type='fixed') hc <- do.hilbert(cut.mat,horder) chc <- table(hc) idx <- as.numeric(names(chc)) # project the matrix to 2 dimensions proj <- hilbertProjection(hc) # visualize the result img <- matrix(0,ncol=max(proj[,2])+1,nrow = max(proj[,1])+1) img[proj[idx,]+1] <- chc image(img) ``` ## Author(s) Marilisa Neri Yann Abraham John Skilling (for the original `C` function)1e:T49a,M7.49933 0.25C3.49635 0.25 0.25 3.49593 0.25 7.50024C0.25 10.703 2.32715 13.4206 5.2081 14.3797C5.57084 14.446 5.70302 14.2222 5.70302 14.0299C5.70302 13.8576 5.69679 13.4019 5.69323 12.797C3.67661 13.235 3.25112 11.825 3.25112 11.825C2.92132 10.9874 2.44599 10.7644 2.44599 10.7644C1.78773 10.3149 2.49584 10.3238 2.49584 10.3238C3.22353 10.375 3.60629 11.0711 3.60629 11.0711C4.25298 12.1788 5.30335 11.8588 5.71638 11.6732C5.78225 11.205 5.96962 10.8854 6.17658 10.7043C4.56675 10.5209 2.87415 9.89918 2.87415 7.12104C2.87415 6.32925 3.15677 5.68257 3.62053 5.1

hilbertProjection function