X-Git-Url: https://git.auder.net/?p=valse.git;a=blobdiff_plain;f=R%2FinitSmallEM.R;h=e2157b254b6bfdbd5e369e02d304962e0fb44197;hp=d5197661087de2323e6475d24277e2d4605e04af;hb=31463ab809c0195273ff2760606ea65361d721ab;hpb=39046da6016f15d625bd99cf0303ea8beb838c79 diff --git a/R/initSmallEM.R b/R/initSmallEM.R index d519766..e2157b2 100644 --- a/R/initSmallEM.R +++ b/R/initSmallEM.R @@ -1,31 +1,24 @@ -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)) -} - +#' initialization of the EM algorithm +#' +#' @param k number of components +#' @param X matrix of covariates (of size n*p) +#' @param Y matrix of responses (of size n*m) +#' @param tau threshold to stop EM algorithm +#' +#' @return a list with phiInit, rhoInit, piInit, gamInit +#' @export initSmallEM = function(k,X,Y,tau) { n = nrow(Y) m = ncol(Y) p = ncol(X) - + + Zinit1 = array(0, dim=c(n,20)) 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)) + Gam = matrix(0, n, k) piInit1 = matrix(0,20,k) gamInit1 = array(0, dim=c(n,k,20)) LLFinit1 = list() @@ -33,43 +26,39 @@ initSmallEM = function(k,X,Y,tau) 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 + distance_clus = dist(X) + tree_hier = hclust(distance_clus) + Zinit1[,repet] = cutree(tree_hier, k) 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,] + Z_indice = seq_len(n)[Z == r] #renvoit les indices où Z==r + + betaInit1[,,r,repet] = ginv(crossprod(X[Z_indice,])) %*% + crossprod(X[Z_indice,], Y[Z_indice,]) sigmaInit1[,,r,repet] = diag(m) - phiInit1[,,r,repet] = betaInit1[,,r,repet]/sigmaInit1[,,r,repet] + phiInit1[,,r,repet] = betaInit1[,,r,repet] #/ sigmaInit1[,,r,repet] rhoInit1[,,r,repet] = solve(sigmaInit1[,,r,repet]) - piInit1[repet,r] = sum(Z_vec)/n + piInit1[repet,r] = mean(Z == r) } - + 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]) + dotProduct = tcrossprod(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,]) + 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) + + new_EMG = .Call("EMGLLF_core",phiInit1[,,,repet],rhoInit1[,,,repet],piInit1[repet,], + gamInit1[,,repet],miniInit,maxiInit,1,0,X,Y,tau) LLFEessai = new_EMG$LLF LLFinit1[repet] = LLFEessai[length(LLFEessai)] }