#' @title Function to obtain TLP effect size estimates given summary statistics and a reference panel
#'
#' @details Function finds the minimum of the TLP objective function
#'
#' @param cors A vector of correlations, representing the univariate SNP-phenotype associations from the summary statistic data.
#' @param bfile The stem of a PLINK binary file to be used as a reference panel.
#' @param lambdas Vector of values of lambda.
#' @param taus Vector of values of tau.
#' @param s Vector of values for s.
#' @param thr Convergence threshold.
#' @param init Initial values for \eqn{\beta}.
#' @param maxIter Maximum number of iterations.
#' @param extract Vector of the indices of SNPs to keep. If null, will keep all SNPs.
#' @param ldBlocks Location of file specifying independent LD Blocks to be used. File should be in the BED file format. If null, estimation is done by chromosome.
#' @param corBim Optional PLINK formatted '.bim' file that specifies SNP labels and locations for 'cors' vector. If non-null, will check for SNPs missing in the reference panel and handle ensuing estimation.
#' @export
tlpSum <- function(cors, bfile, lambdas, taus, s=0.5, thr=1e-4, init=NULL, maxIter=1000, extract=NULL, ldBlocks = NULL, corBim = NULL){
fam=read.table(paste0(bfile,".fam"))
N=nrow(fam)
bim=read.table(paste0(bfile,".bim"))
P=nrow(bim)
genoMat=genotypeMatrix(paste0(bfile,".bed"),N=N,P=P,integer(0),integer(0),integer(0),integer(0),1)
sds=normalize2(genoMat)
genoMat[is.na(genoMat)]=0
lassoBetasFull=NULL
yhatFull=NULL
convergedFull=NULL
if(is.null(extract)) extract=c(1:P)
if(sum(extract!=FALSE)!=P) P=P-sum(extract==FALSE)
if(length(extract)<P) P = length(extract)
if(is.null(init)) init = rep(0,P)
genoMat=genoMat[,extract]
bim = bim[extract,]
if(!is.null(corBim)){
copyBim = corBim
missingInd = NULL
counter = 0
for(chr in levels(as.factor(bim$V1))){
subBim = subset(corBim, V1 == chr)
subTune = subset(bim, V1 == chr)
tempInd = which(!subBim$V4%in%bim$V4)
tempInd = tempInd + counter
missingInd = c(missingInd,tempInd)
counter = counter + nrow(subBim)
}
if(length(missingInd) > 0){
nonMissing = setdiff(1:nrow(corBim), missingInd)
copyBim[nonMissing,] = bim
bim = copyBim
tempMat = matrix(rep(0, N*nrow(bim)), ncol = nrow(bim))
tempMat[,nonMissing] = genoMat
rm(genoMat)
genoMat = tempMat
}
}
temp = rep(lambdas, each = length(taus))
taus = rep(taus, length(lambdas))
lambdas = temp
if(!is.null(ldBlocks)){
ldDat = read.table(ldBlocks, header = TRUE)
ldDat[,1] = as.character(sub("^chr","",ldDat[,1], ignore.case = TRUE))
}
#if the LD blocks file is null, do estimation by chromosome
if(is.null(ldBlocks)){
vec1 = c(1:22)
vec2 = rep(0, 22)
vec3 = rep(Inf, 22)
ldDat = cbind.data.frame(vec1,vec2,vec3)
}
permList = NULL
for(b in 1:nrow(ldDat)){
curChr = ldDat[b,1]
curMin = ldDat[b,2]
curMax = ldDat[b,3]
curSnps = bim$V2[bim$V4 > curMin & bim$V4 <= curMax & bim$V1 == curChr]
curInd = which(bim$V2%in%curSnps)
permList = c(permList,curInd)
if(length(curInd) > 0){
lassoBetasBlock = NULL
yhatBlock = NULL
converged = NULL
zeroSD = rep(0, length(curInd))
zeroSD[sds[curInd] == 0] = 1
for(k in 1:length(s)){
corTemp = cors[curInd]
genoMatTemp=genoMat[,curInd, drop=FALSE]*sqrt(1 - s[k])
diagVec=rep(1-s[k],length(curInd))
diagVec[zeroSD]=0
denom=diagVec+s[k]
for(i in 1:length(lambdas)){
maxDiff=Inf
iterator=0
lambda=lambdas[i]
tau=taus[i]
lassoBetas=init[curInd]
yhat=genoMatTemp%*%lassoBetas
while(maxDiff>thr & iterator<maxIter){
iterator=iterator+1
lassoBetasOld=lassoBetas
lambdaWts=abs(lassoBetas)<=tau
for(j in c(1:length(lassoBetas))){
lambdaTmp=lambda*lambdaWts[j]
if(iterator==1) lambdaTmp=lambda
xj=lassoBetas[j]
lassoBetas[j]=0
tempEst=diagVec[j]*xj + corTemp[j] - mean(genoMatTemp[,j]*yhat)
if(abs(tempEst)>lambdaTmp){
tempSign=sign(tempEst)
tempVal=(abs(tempEst)-lambdaTmp) / denom[j]
temp2=tempVal*tempSign
lassoBetas[j]=temp2
}
if(lassoBetas[j]!=xj){
del=lassoBetas[j]-xj
yhat=yhat+(del*genoMatTemp[,j])
}
}
maxDiff=max(abs(lassoBetasOld-lassoBetas))
}
lassoBetas[zeroSD] = lassoBetas[zeroSD]*s[k]
converged=rbind(converged,c(lambda,tau,s[k],iterator!=maxIter))
lassoBetasBlock=cbind(lassoBetasBlock,lassoBetas)
yhatBlock=cbind(yhatBlock,yhat)
}
}
lassoBetasFull = rbind(lassoBetasFull,lassoBetasBlock)
if(!is.null(yhatFull)) yhatFull = yhatFull+yhatBlock
if(is.null(yhatFull)) yhatFull = yhatBlock
if(!is.null(convergedFull)) convergedFull[converged[,4]==0,4] = 0
if(is.null(convergedFull)) convergedFull = converged
}
}
###Account for out-of-order SNPs in the BED file
lassoBetasFull[permList,] = lassoBetasFull
###generating labeling for the output
tempS = rep(s, each = length(lambdas))
tempLambdas = rep(lambdas, length(s))
tempTaus = rep(taus, length(s))
toReturn=structure(list(lambdas=tempLambdas,taus=tempTaus,s=tempS,beta=lassoBetasFull,converged=convergedFull,pred=yhatFull))
return(toReturn)
}
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