X-Git-Url: https://git.auder.net/?a=blobdiff_plain;f=src%2Ftest%2Fgenerate_test_data%2Fhelpers%2FEMGrank.R;fp=src%2Ftest%2Fgenerate_test_data%2Fhelpers%2FEMGrank.R;h=0000000000000000000000000000000000000000;hb=31463ab809c0195273ff2760606ea65361d721ab;hp=346916b1fe3786209cbf19534ee9274657b5fdc8;hpb=7f1a6cf08a4d4d67e8a95b8c1c0cc74ff3deb5a4;p=valse.git diff --git a/src/test/generate_test_data/helpers/EMGrank.R b/src/test/generate_test_data/helpers/EMGrank.R deleted file mode 100644 index 346916b..0000000 --- a/src/test/generate_test_data/helpers/EMGrank.R +++ /dev/null @@ -1,84 +0,0 @@ -#helper to always have matrices as arg (TODO: put this elsewhere? improve?) -matricize <- function(X) -{ - if (!is.matrix(X)) - return (t(as.matrix(X))) - return (X) -} - -require(MASS) -EMGrank = function(Pi, Rho, mini, maxi, X, Y, tau, rank) -{ - #matrix dimensions - n = dim(X)[1] - p = dim(X)[2] - m = dim(Rho)[2] - k = dim(Rho)[3] - - #init outputs - phi = array(0, dim=c(p,m,k)) - Z = rep(1, n) - LLF = 0 - - #local variables - Phi = array(0, dim=c(p,m,k)) - deltaPhi = c() - sumDeltaPhi = 0. - deltaPhiBufferSize = 20 - - #main loop - ite = 1 - while (ite<=mini || (ite<=maxi && sumDeltaPhi>tau)) - { - #M step: Mise à jour de Beta (et donc phi) - for(r in 1:k) - { - Z_indice = seq_len(n)[Z==r] #indices où Z == r - if (length(Z_indice) == 0) - next - #U,S,V = SVD of (t(Xr)Xr)^{-1} * t(Xr) * Yr - s = svd( ginv(crossprod(matricize(X[Z_indice,]))) %*% - crossprod(matricize(X[Z_indice,]),matricize(Y[Z_indice,])) ) - S = s$d - #Set m-rank(r) singular values to zero, and recompose - #best rank(r) approximation of the initial product - if(rank[r] < length(S)) - S[(rank[r]+1):length(S)] = 0 - phi[,,r] = s$u %*% diag(S) %*% t(s$v) %*% Rho[,,r] - } - - #Etape E et calcul de LLF - sumLogLLF2 = 0 - for(i in seq_len(n)) - { - sumLLF1 = 0 - maxLogGamIR = -Inf - for (r in seq_len(k)) - { - dotProduct = tcrossprod(Y[i,]%*%Rho[,,r]-X[i,]%*%phi[,,r]) - logGamIR = log(Pi[r]) + log(det(Rho[,,r])) - 0.5*dotProduct - #Z[i] = index of max (gam[i,]) - if(logGamIR > maxLogGamIR) - { - Z[i] = r - maxLogGamIR = logGamIR - } - sumLLF1 = sumLLF1 + exp(logGamIR) / (2*pi)^(m/2) - } - sumLogLLF2 = sumLogLLF2 + log(sumLLF1) - } - - LLF = -1/n * sumLogLLF2 - - #update distance parameter to check algorithm convergence (delta(phi, Phi)) - deltaPhi = c( deltaPhi, max( (abs(phi-Phi)) / (1+abs(phi)) ) ) #TODO: explain? - if (length(deltaPhi) > deltaPhiBufferSize) - deltaPhi = deltaPhi[2:length(deltaPhi)] - sumDeltaPhi = sum(abs(deltaPhi)) - - #update other local variables - Phi = phi - ite = ite+1 - } - return(list("phi"=phi, "LLF"=LLF)) -}