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#' Get Laplace matrix from factor vector
#'
#' @param col_data A factor vector
#' @return \code{adjacency} The Laplace matrix of \code{col_data}
#' @export
#' @author Haidong Yi, Ayush T. Raman
#'
#' @examples
#' batch.factor <- c(rep('human',13),rep('mouse',13))
#' batch.factor <- as.factor(batch.factor)
#' adj <- trans_Laplace(batch.factor)
#'
trans_Laplace <- function(col_data) {
adjacency <- matrix(0, nrow = length(col_data), ncol = length(col_data))
iter <- length(levels(col_data))
for (i in 1:iter) {
FACTOR <- which(col_data == levels(col_data)[i])
N <- length(FACTOR)
for (j in 1:(N - 1)) {
for (k in (j + 1):N) {
adjacency[FACTOR[j], FACTOR[k]] <- 1
}
}
}
adjacency <- adjacency + t(adjacency)
adjacency <- diag(rowSums(adjacency)) - adjacency
return(adjacency)
}
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