-#' Main function
-#'
-#' @param X matrix of covariates (of size n*p)
-#' @param Y matrix of responses (of size n*m)
-#' @param procedure among 'LassoMLE' or 'LassoRank'
-#' @param selecMod method to select a model among 'DDSE', 'DJump', 'BIC' or 'AIC'
-#' @param gamma integer for the power in the penaly, by default = 1
-#' @param mini integer, minimum number of iterations in the EM algorithm, by default = 10
-#' @param maxi integer, maximum number of iterations in the EM algorithm, by default = 100
-#' @param eps real, threshold to say the EM algorithm converges, by default = 1e-4
-#' @param kmin integer, minimum number of clusters, by default = 2
-#' @param kmax integer, maximum number of clusters, by default = 10
-#' @param rang.min integer, minimum rank in the low rank procedure, by default = 1
-#' @param rang.max integer, maximum rank in the
-#' @return a list with estimators of parameters
-#' @export
-#-----------------------------------------------------------------------
-valse = function(X,Y,procedure = 'LassoMLE',selecMod = 'DDSE',gamma = 1,mini = 10,
- maxi = 50,eps = 1e-4,kmin = 2,kmax = 2,
- rang.min = 1,rang.max = 10) {
- ##################################
- #core workflow: compute all models
- ##################################
-
- p = dim(X)[2]
- m = dim(Y)[2]
- n = dim(X)[1]
-
- model = list()
- tableauRecap = array(0, dim=c(1000,4))
- cpt = 0
- print("main loop: over all k and all lambda")
-
- for (k in kmin:kmax){
- print(k)
- print("Parameters initialization")
- #smallEM initializes parameters by k-means and regression model in each component,
- #doing this 20 times, and keeping the values maximizing the likelihood after 10
- #iterations of the EM algorithm.
- init = initSmallEM(k, X, Y)
- phiInit <<- init$phiInit
- rhoInit <<- init$rhoInit
- piInit <<- init$piInit
- gamInit <<- init$gamInit
- grid_lambda <<- gridLambda(phiInit, rhoInit, piInit, gamInit, X, Y, gamma, mini, maxi, eps)
-
- if (length(grid_lambda)>100){
- grid_lambda = grid_lambda[seq(1, length(grid_lambda), length.out = 100)]
- }
- print("Compute relevant parameters")
- #select variables according to each regularization parameter
- #from the grid: A1 corresponding to selected variables, and
- #A2 corresponding to unselected variables.
-
- params = selectiontotale(phiInit,rhoInit,piInit,gamInit,mini,maxi,gamma,grid_lambda,X,Y,1e-8,eps)
- #params2 = selectVariables(phiInit,rhoInit,piInit,gamInit,mini,maxi,gamma,grid_lambda[seq(1,length(grid_lambda), by=3)],X,Y,1e-8,eps)
- ## etrange : params et params 2 sont différents ...
- selected <<- params$selected
- Rho <<- params$Rho
- Pi <<- params$Pi
-
- if (procedure == 'LassoMLE') {
- print('run the procedure Lasso-MLE')
- #compute parameter estimations, with the Maximum Likelihood
- #Estimator, restricted on selected variables.
- model[[k]] = constructionModelesLassoMLE(phiInit, rhoInit,piInit,gamInit,mini,maxi,gamma,X,Y,thresh,eps,selected)
- llh = matrix(ncol = 2)
- for (l in seq_along(model[[k]])){
- llh = rbind(llh, model[[k]][[l]]$llh)
- }
- LLH = llh[-1,1]
- D = llh[-1,2]
- } else {
- print('run the procedure Lasso-Rank')
- #compute parameter estimations, with the Low Rank
- #Estimator, restricted on selected variables.
- model = constructionModelesLassoRank(Pi, Rho, mini, maxi, X, Y, eps,
- A1, rank.min, rank.max)
-
- ################################################
- ### Regarder la SUITE
- phi = runProcedure2()$phi
- Phi2 = Phi
- if (dim(Phi2)[1] == 0)
- {
- Phi[, , 1:k,] <<- phi
- } else
- {
- Phi <<- array(0, dim = c(p, m, kmax, dim(Phi2)[4] + dim(phi)[4]))
- Phi[, , 1:(dim(Phi2)[3]), 1:(dim(Phi2)[4])] <<- Phi2
- Phi[, , 1:k,-(1:(dim(Phi2)[4]))] <<- phi
- }
- }
- tableauRecap[(cpt+1):(cpt+length(model[[k]])), ] = matrix(c(LLH, D, rep(k, length(model[[k]])), 1:length(model[[k]])), ncol = 4)
- cpt = cpt+length(model[[k]])
- }
- print('Model selection')
- tableauRecap = tableauRecap[rowSums(tableauRecap[, 2:4])!=0,]
- tableauRecap = tableauRecap[(tableauRecap[,1])!=Inf,]
- data = cbind(1:dim(tableauRecap)[1], tableauRecap[,2], tableauRecap[,2], tableauRecap[,1])
- require(capushe)
- modSel = capushe(data, n)
- if (selecMod == 'DDSE') {
- indModSel = as.numeric(modSel@DDSE@model)
- } else if (selecMod == 'Djump') {
- indModSel = as.numeric(modSel@Djump@model)
- } else if (selecMod == 'BIC') {
- indModSel = modSel@BIC_capushe$model
- } else if (selecMod == 'AIC') {
- indModSel = modSel@AIC_capushe$model
- }
- return(model[[tableauRecap[indModSel,3]]][[tableauRecap[indModSel,4]]])
-}