#' Two-staged Independent Linked Component Analysis
#'
#' Two-staged Independent Linked Component Analysis, a generalization based on the Two-staged Independent Linked Component Analysis
#'
#' @param dataset A list of dataset to be analyzed
#' @param group A list of grouping of the datasets, indicating the relationship between datasets
#' @param comp_num A vector indicates the dimension of each compoent
#' @param weighting Weighting of each dataset, initialized to be NULL
#' @param backup A positive scalar to determine how many ICs to over select
#' @param plotting A boolean value to determine whether to plot the scree plot or not, default to be False
#' @param proj_dataset The datasets to be projected on
#' @param proj_group The grouping of projected data sets
#'
#' @importFrom RSpectra svds
#' @importFrom fastICA fastICA
#'
#' @return A list contains the component and the score of each dataset on every component after 2siLCA algorithm
#'
#' @keywords two-staged, independent LCA
#'
#' @examples
#' dataset = list(matrix(runif(5000, 1, 2), nrow = 100, ncol = 50),
#' matrix(runif(5000, 1, 2), nrow = 100, ncol = 50),
#' matrix(runif(5000, 1, 2), nrow = 100, ncol = 50),
#' matrix(runif(5000, 1, 2), nrow = 100, ncol = 50))
#' group = list(c(1, 2, 3, 4), c(1, 2), c(3, 4), c(1, 3), c(2, 4), c(1), c(2), c(3), c(4))
#' comp_num = c(2, 2, 2, 2, 2, 2, 2, 2, 2)
#' proj_dataset = list(matrix(runif(5000, 1, 2), nrow = 100, ncol = 50))
#' proj_group = list(c(TRUE, TRUE, FALSE, FALSE, FALSE, TRUE, FALSE, FALSE, FALSE))
#' res_twoStageiLCA = twoStageiLCA(dataset, group, comp_num, proj_dataset = proj_dataset, proj_group = proj_group)
#'
#' @export
twoStageiLCA <- function(dataset, group, comp_num, weighting = NULL, backup = 0, plotting = FALSE, proj_dataset = NULL, proj_group = NULL){
twoStageLCA_out = twoStageLCA(dataset, group, comp_num, weighting, backup)
## Obtain names for dataset, gene and samples
dataset_name = datasetNameExtractor(dataset)
gene_name = geneNameExtractor(dataset)
sample_name = sampleNameExtractor(dataset)
group_name = groupNameExtractor(group)
dataset = frameToMatrix(dataset)
dataset = normalizeData(dataset)
## Parameters to be initialized
N = length(dataset)
K = length(group)
M = sum(comp_num)
p = nrow(dataset[[1]])
N_dataset = unlist(lapply(dataset, ncol))
## Output the component and scores
list_component = list()
list_score = list()
for(j in 1 : N){
list_score[[j]] = list()
}
for(i in 1 : K){
list_component[[i]] = matrix(0, nrow = p, ncol = comp_num[i])
for(j in 1 : N){
list_score[[j]][[i]] = matrix(0, nrow = comp_num[i], ncol = N_dataset[j])
}
}
## Conduct ICA on the extracted Scores
for(i in 1 : K){
list_component[[i]] = twoStageLCA_out$linked_component_list[[i]]
for(j in 1 : N){
if(j %in% group[[i]] & nrow(list_score[[j]][[i]]) >= 2){
ica_temp = fastICA(t(twoStageLCA_out$score_list[[j]][[i]]), n.comp = nrow(twoStageLCA_out$score_list[[j]][[i]]))
list_score[[j]][[i]] = t(ica_temp$S)
}
}
}
## Assign name for components
list_component = compNameAssign(list_component, group_name)
list_component = geneNameAssign(list_component, gene_name)
list_score = scoreNameAssign(list_score, dataset_name, group_name)
list_score = sampleNameAssign(list_score, sample_name)
list_score = filterNAValue(list_score, dataset, group)
list_score = pveMultiple(dataset, group, comp_num, list_score, list_component)
## Project score
proj_list_score = list()
if(!is.null(proj_dataset)){
proj_sample_name = sampleNameExtractor(proj_dataset)
proj_dataset_name = datasetNameExtractor(proj_dataset)
proj_dataset = frameToMatrix(proj_dataset)
proj_dataset = normalizeData(proj_dataset)
proj_dataset = balanceData(proj_dataset)
for(i in 1 : length(proj_dataset)){
proj_list_score[[i]] = list()
for(j in 1 : length(proj_group[[i]])){
if(proj_group[[i]][j]){
proj_list_score[[i]][[j]] = t(list_component[[j]]) %*% proj_dataset[[i]]
}else{
proj_list_score[[i]][[j]] = NA
}
}
}
proj_list_score = scoreNameAssign(proj_list_score, proj_dataset_name, group_name)
proj_list_score = sampleNameAssign(proj_list_score, proj_sample_name)
}
return(list(linked_component_list = list_component, score_list = list_score, proj_score_list = proj_list_score))
}
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