| 1 | #' runValse |
| 2 | #' |
| 3 | #' Main function |
| 4 | #' |
| 5 | #' @param X matrix of covariates (of size n*p) |
| 6 | #' @param Y matrix of responses (of size n*m) |
| 7 | #' @param procedure among 'LassoMLE' or 'LassoRank' |
| 8 | #' @param selecMod method to select a model among 'DDSE', 'DJump', 'BIC' or 'AIC' |
| 9 | #' @param gamma integer for the power in the penaly, by default = 1 |
| 10 | #' @param mini integer, minimum number of iterations in the EM algorithm, by default = 10 |
| 11 | #' @param maxi integer, maximum number of iterations in the EM algorithm, by default = 100 |
| 12 | #' @param eps real, threshold to say the EM algorithm converges, by default = 1e-4 |
| 13 | #' @param kmin integer, minimum number of clusters, by default = 2 |
| 14 | #' @param kmax integer, maximum number of clusters, by default = 10 |
| 15 | #' @param rank.min integer, minimum rank in the low rank procedure, by default = 1 |
| 16 | #' @param rank.max integer, maximum rank in the low rank procedure, by default = 5 |
| 17 | #' @param ncores_outer Number of cores for the outer loop on k |
| 18 | #' @param ncores_inner Number of cores for the inner loop on lambda |
| 19 | #' @param thresh real, threshold to say a variable is relevant, by default = 1e-8 |
| 20 | #' @param grid_lambda, a vector with regularization parameters if known, by default numeric(0) |
| 21 | #' @param size_coll_mod (Maximum) size of a collection of models, by default 50 |
| 22 | #' @param fast TRUE to use compiled C code, FALSE for R code only |
| 23 | #' @param verbose TRUE to show some execution traces |
| 24 | #' @param plot TRUE to plot the selected models after run |
| 25 | #' |
| 26 | #' @return |
| 27 | #' The selected model (except if the collection of models |
| 28 | #' has less than 11 models, the function returns the collection as it can not select one using Capushe) |
| 29 | #' |
| 30 | #' @examples |
| 31 | #' n = 50; m = 10; p = 5 |
| 32 | #' beta = array(0, dim=c(p,m,2)) |
| 33 | #' beta[,,1] = 1 |
| 34 | #' beta[,,2] = 2 |
| 35 | #' data = generateXY(n, c(0.4,0.6), rep(0,p), beta, diag(0.5, p), diag(0.5, m)) |
| 36 | #' X = data$X |
| 37 | #' Y = data$Y |
| 38 | #' res = runValse(X, Y, kmax = 5, plot=FALSE) |
| 39 | #' X <- matrix(runif(100), nrow=50) |
| 40 | #' Y <- matrix(runif(100), nrow=50) |
| 41 | #' res = runValse(X, Y, plot=FALSE) |
| 42 | #' |
| 43 | #' @export |
| 44 | runValse <- function(X, Y, procedure = "LassoMLE", selecMod = "DDSE", gamma = 1, mini = 10, |
| 45 | maxi = 50, eps = 1e-04, kmin = 2, kmax = 3, rank.min = 1, rank.max = 5, ncores_outer = 1, |
| 46 | ncores_inner = 1, thresh = 1e-08, grid_lambda = numeric(0), size_coll_mod = 50, |
| 47 | fast = TRUE, verbose = FALSE, plot = TRUE) |
| 48 | { |
| 49 | n <- nrow(X) |
| 50 | p <- ncol(X) |
| 51 | m <- ncol(Y) |
| 52 | |
| 53 | if (verbose) print("main loop: over all k and all lambda") |
| 54 | |
| 55 | if (ncores_outer > 1) { |
| 56 | cl <- parallel::makeCluster(ncores_outer, outfile = "") |
| 57 | parallel::clusterExport(cl = cl, envir = environment(), varlist = c("X", |
| 58 | "Y", "procedure", "selecMod", "gamma", "mini", "maxi", "eps", "kmin", |
| 59 | "kmax", "rank.min", "rank.max", "ncores_outer", "ncores_inner", "thresh", |
| 60 | "size_coll_mod", "verbose", "p", "m")) |
| 61 | } |
| 62 | |
| 63 | # Compute models with k components |
| 64 | computeModels <- function(k) { |
| 65 | if (ncores_outer > 1) |
| 66 | require("valse") #nodes start with an empty environment |
| 67 | |
| 68 | if (verbose) |
| 69 | print(paste("Parameters initialization for k =", k)) |
| 70 | # smallEM initializes parameters by k-means and regression model in each |
| 71 | # component, doing this 20 times, and keeping the values maximizing the |
| 72 | # likelihood after 10 iterations of the EM algorithm. |
| 73 | P <- initSmallEM(k, X, Y, fast) |
| 74 | if (length(grid_lambda) == 0) { |
| 75 | grid_lambda <- computeGridLambda(P$phiInit, P$rhoInit, P$piInit, P$gamInit, |
| 76 | X, Y, gamma, mini, maxi, eps, fast) |
| 77 | } |
| 78 | if (length(grid_lambda) > size_coll_mod) |
| 79 | grid_lambda <- grid_lambda[seq(1, length(grid_lambda), length.out = size_coll_mod)] |
| 80 | |
| 81 | if (verbose) |
| 82 | print("Compute relevant parameters") |
| 83 | # select variables according to each regularization parameter from the grid: |
| 84 | # S$selected corresponding to selected variables |
| 85 | S <- selectVariables(P$phiInit, P$rhoInit, P$piInit, P$gamInit, mini, maxi, |
| 86 | gamma, grid_lambda, X, Y, thresh, eps, ncores_inner, fast) |
| 87 | |
| 88 | if (procedure == "LassoMLE") { |
| 89 | if (verbose) |
| 90 | print("run the procedure Lasso-MLE") |
| 91 | # compute parameter estimations, with the Maximum Likelihood Estimator, |
| 92 | # restricted on selected variables. |
| 93 | models <- constructionModelesLassoMLE(P$phiInit, P$rhoInit, P$piInit, |
| 94 | P$gamInit, mini, maxi, gamma, X, Y, eps, S, ncores_inner, fast, verbose) |
| 95 | } else { |
| 96 | if (verbose) |
| 97 | print("run the procedure Lasso-Rank") |
| 98 | # compute parameter estimations, with the Low Rank Estimator, restricted on |
| 99 | # selected variables. |
| 100 | models <- constructionModelesLassoRank(S, k, mini, maxi, X, Y, eps, rank.min, |
| 101 | rank.max, ncores_inner, fast, verbose) |
| 102 | } |
| 103 | # warning! Some models are NULL after running selectVariables |
| 104 | models <- models[sapply(models, function(cell) !is.null(cell))] |
| 105 | models |
| 106 | } |
| 107 | |
| 108 | # List (index k) of lists (index lambda) of models |
| 109 | models_list <- |
| 110 | if (ncores_outer > 1) { |
| 111 | parallel::parLapply(cl, kmin:kmax, computeModels) |
| 112 | } else { |
| 113 | lapply(kmin:kmax, computeModels) |
| 114 | } |
| 115 | if (ncores_outer > 1) parallel::stopCluster(cl) |
| 116 | |
| 117 | if (!requireNamespace("capushe", quietly = TRUE)) { |
| 118 | warning("'capushe' not available: returning all models") |
| 119 | return(models_list) |
| 120 | } |
| 121 | |
| 122 | # Get summary 'tableauRecap' from models |
| 123 | tableauRecap <- do.call(rbind, lapply(seq_along(models_list), function(i) { |
| 124 | models <- models_list[[i]] |
| 125 | # For a collection of models (same k, several lambda): |
| 126 | LLH <- sapply(models, function(model) model$llh[1]) |
| 127 | k <- length(models[[1]]$pi) |
| 128 | sumPen <- sapply(models, function(model) k * (dim(model$rho)[1] + sum(model$phi[,,1] != 0) + 1) - 1) |
| 129 | data.frame(model = paste(i, ".", seq_along(models), sep = ""), pen = sumPen/n, complexity = sumPen, contrast = -LLH) |
| 130 | })) |
| 131 | tableauRecap <- tableauRecap[which(tableauRecap[, 4] != Inf), ] |
| 132 | if (verbose) print(tableauRecap) |
| 133 | |
| 134 | if (nrow(tableauRecap) > 10) { |
| 135 | modSel <- capushe::capushe(tableauRecap, n) |
| 136 | indModSel <- if (selecMod == "DDSE") { |
| 137 | as.numeric(modSel@DDSE@model) |
| 138 | } else if (selecMod == "Djump") { |
| 139 | as.numeric(modSel@Djump@model) |
| 140 | } else if (selecMod == "BIC") { |
| 141 | modSel@BIC_capushe$model |
| 142 | } else if (selecMod == "AIC") { |
| 143 | modSel@AIC_capushe$model |
| 144 | } |
| 145 | listMod <- as.integer(unlist(strsplit(as.character(indModSel), "[.]"))) |
| 146 | modelSel <- models_list[[listMod[1]]][[listMod[2]]] |
| 147 | modelSel$models <- tableauRecap |
| 148 | |
| 149 | if (plot) plot_valse(X, Y, modelSel) |
| 150 | return(modelSel) |
| 151 | } |
| 152 | tableauRecap |
| 153 | } |