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#' @title Likelihood function of the Beta-Negative Binomial HMM Model
#' @usage LikefunNBHMM(ParamPool, InputPool)
#' @param ParamPool The parameters that will be estimated in EM.
#' @param InputPool The control parameters that will not be estimated in EM
#' @author Ning Leng
#' @examples
#' data(GeneExampleData)
#' tmp <- GeneExampleData[1:10,]
#' In <- list(tmp,1,5,10,3,tmp,rep(1,15),as.factor(rep(1:5,each=3)), 10,cbind(rep(.5,10),rep(1,10),rep(2,10)))
#' Start <- c(1,1)
#' LikefunNBHMM(Start,In)
#' @details The likelihood function of the Beta-Negative Binomial HMM model used in EBSeqHMM.
#' EBSeqHMM uses optim() function to obtain the optimal estimates that minimizes the likelihood.
#' @return optimal estimates of the parameters of interest
#######################
# Optim fun
#######################
LikefunNBHMM <- function(ParamPool, InputPool){
a1 <- proc.time()[3]
DataListIn.unlist <- InputPool[[1]]
NumGene <- InputPool[[4]]
AlphaMat <- InputPool[[2]]
NumPoints <- InputPool[[3]]
NumTranStage <- InputPool[[5]]
RPairsListIn.unlist <- InputPool[[6]]
sizeFactors <- InputPool[[7]]
Conditions <- InputPool[[8]]
NumOfEachGroupIn <- InputPool[[9]]
FCParam <- InputPool[[10]]
Vect <- ParamPool
AlphaIn <- Vect[1]
BetaIn <- Vect[2:(1+length(NumOfEachGroupIn))]
LogBraw <- sapply(1:NumPoints,function(pp)
sapply(1:NumTranStage,function(ss){
idx1 <- which(Conditions==levels(Conditions)[pp])
idx2 <- which(Conditions==levels(Conditions)[pp+1])
t1 <- matrix(DataListIn.unlist[,idx1],nrow=dim(DataListIn.unlist)[1])
t2 <- matrix(DataListIn.unlist[,idx2],nrow=dim(DataListIn.unlist)[1])
tmpdata <- cbind(t1,t2)
rownames(tmpdata) <- rownames(DataListIn.unlist)
Rtmp1 <- outer(RPairsListIn.unlist[,pp],sizeFactors[idx1])
Rtmp2 <- outer(RPairsListIn.unlist[,pp],sizeFactors[idx2])
Log <- f0(tmpdata,
AlphaIn=AlphaIn, BetaIn=BetaIn,
cbind(Rtmp1*FCParam[ss,1],
Rtmp2*FCParam[ss,2]), NumOfGroups=NumOfEachGroupIn, log=TRUE)
}),simplify=FALSE)
LogBraw2 <- do.call(rbind,LogBraw)
LogB <- as.vector(LogBraw2)
a2 <- proc.time()[3]
#cat(a2-a1)
#cat(" ")
Sumgs <- LogB*AlphaMat
# -sum(Sumgs)
#Use=which(Sumgs< quantile(Sumgs,.95,na.rm=TRUE) & Sumgs> quantile(Sumgs,0,na.rm=TRUE), arr.ind=TRUE)
Use <- which(!is.na(Sumgs) & abs(Sumgs)!=Inf, arr.ind=TRUE)
-mean(Sumgs[Use])
}
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