#' Encode a given factor variable using low rank encoding
#'
#' @description Transforms the original design matrix using a low rank encoding.
#'
#' @param X The data.frame/data.table to transform.
#' @param fact The factor variable to encode by - either a positive integer specifying the
#' column number, or the name of the column.
#' @param keep_factor Whether to keep the original factor column(defaults to **FALSE**).
#' @param encoding_only Whether to return the full transformed dataset or only the new
#' columns. Defaults to FALSE and returns the full dataset.
#'
#' @return A new data.table X which contains the new columns and optionally the old factor.
#' @details Uses the method from Johannemann et al.(2019)
#' 'Sufficient Representations for Categorical Variables' - Low rank.
#' @importFrom data.table data.table
#' @importFrom data.table setkeyv
#' @importFrom data.table .SD
#' @importFrom data.table ':='
#' @export
#'
#' @examples
#'
#' design_mat <- cbind( data.frame( matrix(rnorm(5*100),ncol = 5) ),
#' sample( sample(letters, 10), 100, replace = TRUE)
#' )
#' colnames(design_mat)[6] <- "factor_var"
#'
#' encode_lowrank(X = design_mat, fact = "factor_var", keep_factor = FALSE)
#'
encode_lowrank <- function(X, fact, keep_factor = FALSE, encoding_only = FALSE)
{
if(is.numeric(fact)){
fact <- colnames(X)[fact]
}
X <- data.table::data.table(X)
data.table::setkeyv(X, fact)
means <- X[, lapply(.SD, mean, na.rm = TRUE), by = fact]
low_rank <- cbind( means[,1], data.table::data.table(svd(means[,2:ncol(means)])$u))
colnames(low_rank) <- c( fact,
paste( fact,"_",
(1:(ncol(low_rank)-1)),
"_lowrank", sep = ""))
if(encoding_only == TRUE){
if(keep_factor == FALSE){
return(low_rank[,-1])
}
else{
return(low_rank)
}
}
X <- X[low_rank, on = fact]
if(keep_factor == FALSE){
X[,(fact) := NULL]
}
return(X)
}
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