X-Git-Url: https://git.auder.net/?p=valse.git;a=blobdiff_plain;f=R%2FinitSmallEM.R;h=d5197661087de2323e6475d24277e2d4605e04af;hp=8f3c86b59baa01acab04c7042c6518c16339418c;hb=39046da6016f15d625bd99cf0303ea8beb838c79;hpb=8266149c7d93aa0543cee2a1b22e1233e7b82617 diff --git a/R/initSmallEM.R b/R/initSmallEM.R index 8f3c86b..d519766 100644 --- a/R/initSmallEM.R +++ b/R/initSmallEM.R @@ -1,80 +1,84 @@ -library(MASS) #generalized inverse of matrix Monroe-Penrose - -vec_bin = function(X,r){ - Z = c() - indice = c() - j=1 - for(i in 1:length(X)){ - if(X[i] == r){ - Z[i] = 1 - indice[j] = i - j=j+1 - } - else{ - Z[i] = 0 - } - } - return(list(Z,indice)) +vec_bin = function(X,r) +{ + Z = c() + indice = c() + j = 1 + for (i in 1:length(X)) + { + if(X[i] == r) + { + Z[i] = 1 + indice[j] = i + j=j+1 + } else + Z[i] = 0 + } + return (list(Z=Z,indice=indice)) } -initSmallEM = function(k,X,Y,tau){ - n = nrow(Y) - m = ncol(Y) - p = ncol(X) +initSmallEM = function(k,X,Y,tau) +{ + n = nrow(Y) + m = ncol(Y) + p = ncol(X) - betaInit1 = array(0, dim=c(p,m,k,20)) - sigmaInit1 = array(0, dim = c(m,m,k,20)) - phiInit1 = array(0, dim = c(p,m,k,20)) - rhoInit1 = array(0, dim = c(m,m,k,20)) - piInit1 = matrix(0,20,k) - gamInit1 = array(0, dim=c(n,k,20)) - LLFinit1 = list() - - - for(repet in 1:20){ - clusters = hclust(dist(y)) #default distance : euclidean - clusterCut = cutree(clusters,k) - Zinit1[,repet] = clusterCut #retourne les indices (à quel cluster indiv_i appartient) d'un clustering hierarchique (nb de cluster = k) - - for(r in 1:k){ - Z = Zinit1[,repet] - Z_bin = vec_bin(Z,r) - Z_vec = Z_bin[[1]] #vecteur 0 et 1 aux endroits où Z==r - Z_indice = Z_bin[[2]] #renvoit les indices où Z==r - - betaInit1[,,r,repet] = ginv(t(x[Z_indice,])%*%x[Z_indice,])%*%t(x[Z_indice,])%*%y[Z_indice,] - sigmaInit1[,,r,repet] = diag(m) - phiInit1[,,r,repet] = betaInit1[,,r,repet]/sigmaInit1[,,r,repet] - rhoInit1[,,r,repet] = solve(sigmaInit1[,,r,repet]) - piInit1[repet,r] = sum(Z_vec)/n - } - - for(i in 1:n){ - for(r in 1:k){ - dotProduct = (y[i,]%*%rhoInit1[,,r,repet]-x[i,]%*%phiInit1[,,r,repet]) %*% (y[i,]%*%rhoInit1[,,r,repet]-x[i,]%*%phiInit1[,,r,repet]) - Gam[i,r] = piInit1[repet,r]*det(rhoInit1[,,r,repet])*exp(-0.5*dotProduct) - } - sumGamI = sum(gam[i,]) - gamInit1[i,,repet]= Gam[i,] / sumGamI - } - - miniInit = 10 - maxiInit = 11 - - new_EMG = EMGLLF(phiInit1[,,,repet],rhoInit1[,,,repet],piInit1[repet,],gamInit1[,,repet],miniInit,maxiInit,1,0,x,y,tau) - ##.C("EMGLLF", phiInit = phiInit, rhoInit = rhoInit, ...) - LLFEessai = new_EMG[[4]] - LLFinit1[[repet]] = LLFEessai[[length(LLFEessai)]] - } - - b = which.max(LLFinit1) - - phiInit = phiInit1[,,,b] - rhoInit = rhoInit1[,,,b] - piInit = piInit1[b,] - gamInit = gamInit1[,,b] - - return(list(phiInit, rhoInit, piInit, gamInit)) -} + betaInit1 = array(0, dim=c(p,m,k,20)) + sigmaInit1 = array(0, dim = c(m,m,k,20)) + phiInit1 = array(0, dim = c(p,m,k,20)) + rhoInit1 = array(0, dim = c(m,m,k,20)) + piInit1 = matrix(0,20,k) + gamInit1 = array(0, dim=c(n,k,20)) + LLFinit1 = list() + + require(MASS) #Moore-Penrose generalized inverse of matrix + for(repet in 1:20) + { + clusters = hclust(dist(y)) #default distance : euclidean + #cutree retourne les indices (à quel cluster indiv_i appartient) d'un clustering hierarchique + clusterCut = cutree(clusters,k) + Zinit1[,repet] = clusterCut + + for(r in 1:k) + { + Z = Zinit1[,repet] + Z_bin = vec_bin(Z,r) + Z_vec = Z_bin$Z #vecteur 0 et 1 aux endroits où Z==r + Z_indice = Z_bin$indice #renvoit les indices où Z==r + + betaInit1[,,r,repet] = + ginv(t(x[Z_indice,])%*%x[Z_indice,])%*%t(x[Z_indice,])%*%y[Z_indice,] + sigmaInit1[,,r,repet] = diag(m) + phiInit1[,,r,repet] = betaInit1[,,r,repet]/sigmaInit1[,,r,repet] + rhoInit1[,,r,repet] = solve(sigmaInit1[,,r,repet]) + piInit1[repet,r] = sum(Z_vec)/n + } + for(i in 1:n) + { + for(r in 1:k) + { + dotProduct = (y[i,]%*%rhoInit1[,,r,repet]-x[i,]%*%phiInit1[,,r,repet]) %*% + (y[i,]%*%rhoInit1[,,r,repet]-x[i,]%*%phiInit1[,,r,repet]) + Gam[i,r] = piInit1[repet,r]*det(rhoInit1[,,r,repet])*exp(-0.5*dotProduct) + } + sumGamI = sum(gam[i,]) + gamInit1[i,,repet]= Gam[i,] / sumGamI + } + miniInit = 10 + maxiInit = 11 + + new_EMG = .Call("EMGLLF",phiInit1[,,,repet],rhoInit1[,,,repet],piInit1[repet,], + gamInit1[,,repet],miniInit,maxiInit,1,0,x,y,tau) + LLFEessai = new_EMG$LLF + LLFinit1[repet] = LLFEessai[length(LLFEessai)] + } + + b = which.max(LLFinit1) + phiInit = phiInit1[,,,b] + rhoInit = rhoInit1[,,,b] + piInit = piInit1[b,] + gamInit = gamInit1[,,b] + + return (list(phiInit=phiInit, rhoInit=rhoInit, piInit=piInit, gamInit=gamInit)) +}