X-Git-Url: https://git.auder.net/?a=blobdiff_plain;f=pkg%2FR%2FEMGLLF.R;h=93012fb163100e8d2d4952ffb156ac94286fc1a3;hb=859c30ec72871f923da0498c14a94e67b0219875;hp=bf4476b63d839fc1f260ff7b005309f32e80d4af;hpb=228ee602a972fcac6177db0d539bf9d0c5fa477f;p=valse.git diff --git a/pkg/R/EMGLLF.R b/pkg/R/EMGLLF.R index bf4476b..93012fb 100644 --- a/pkg/R/EMGLLF.R +++ b/pkg/R/EMGLLF.R @@ -1,6 +1,9 @@ -#' EMGLLF +#' EMGLLF #' -#' Description de EMGLLF +#' Run a generalized EM algorithm developped for mixture of Gaussian regression +#' models with variable selection by an extension of the Lasso estimator (regularization parameter lambda). +#' Reparametrization is done to ensure invariance by homothetic transformation. +#' It returns a collection of models, varying the number of clusters and the sparsity in the regression mean. #' #' @param phiInit an initialization for phi #' @param rhoInit an initialization for rho @@ -14,37 +17,38 @@ #' @param Y matrix of responses (of size n*m) #' @param eps real, threshold to say the EM algorithm converges, by default = 1e-4 #' -#' @return A list ... phi,rho,pi,LLF,S,affec: -#' phi : parametre de moyenne renormalisé, calculé par l'EM -#' rho : parametre de variance renormalisé, calculé par l'EM -#' pi : parametre des proportions renormalisé, calculé par l'EM -#' LLF : log vraisemblance associée à cet échantillon, pour les valeurs estimées des paramètres -#' S : ... affec : ... +#' @return A list (corresponding to the model collection) defined by (phi,rho,pi,LLF,S,affec): +#' phi : regression mean for each cluster +#' rho : variance (homothetic) for each cluster +#' pi : proportion for each cluster +#' LLF : log likelihood with respect to the training set +#' S : selected variables indexes +#' affec : cluster affectation for each observation (of the training set) #' #' @export -EMGLLF <- function(phiInit, rhoInit, piInit, gamInit, mini, maxi, gamma, lambda, +EMGLLF <- function(phiInit, rhoInit, piInit, gamInit, mini, maxi, gamma, lambda, X, Y, eps, fast) { if (!fast) { # Function in R - return(.EMGLLF_R(phiInit, rhoInit, piInit, gamInit, mini, maxi, gamma, lambda, + return(.EMGLLF_R(phiInit, rhoInit, piInit, gamInit, mini, maxi, gamma, lambda, X, Y, eps)) } # Function in C n <- nrow(X) #nombre d'echantillons p <- ncol(X) #nombre de covariables - m <- ncol(Y) #taille de Y (multivarié) - k <- length(piInit) #nombre de composantes dans le mélange - .Call("EMGLLF", phiInit, rhoInit, piInit, gamInit, mini, maxi, gamma, lambda, - X, Y, eps, phi = double(p * m * k), rho = double(m * m * k), pi = double(k), - LLF = double(maxi), S = double(p * m * k), affec = integer(n), n, p, m, k, + m <- ncol(Y) #taille de Y (multivarie) + k <- length(piInit) #nombre de composantes dans le melange + .Call("EMGLLF", phiInit, rhoInit, piInit, gamInit, mini, maxi, gamma, lambda, + X, Y, eps, phi = double(p * m * k), rho = double(m * m * k), pi = double(k), + llh = double(1), S = double(p * m * k), affec = integer(n), n, p, m, k, PACKAGE = "valse") } # R version - slow but easy to read -.EMGLLF_R <- function(phiInit, rhoInit, piInit, gamInit, mini, maxi, gamma, lambda, +.EMGLLF_R <- function(phiInit, rhoInit, piInit, gamInit, mini, maxi, gamma, lambda, X, Y, eps) { # Matrix dimensions @@ -72,7 +76,6 @@ EMGLLF <- function(phiInit, rhoInit, piInit, gamInit, mini, maxi, gamma, lambda, ps2 <- array(0, dim = c(p, m, k)) X2 <- array(0, dim = c(n, p, k)) Y2 <- array(0, dim = c(n, m, k)) - EPS <- 1e-15 for (ite in 1:maxi) { @@ -190,5 +193,6 @@ EMGLLF <- function(phiInit, rhoInit, piInit, gamInit, mini, maxi, gamma, lambda, break } - list(phi = phi, rho = rho, pi = pi, llh = llh, S = S) + affec = apply(gam, 1, which.max) + list(phi = phi, rho = rho, pi = pi, llh = llh, S = S, affec=affec) }