LPM_AIC_CV_Full = function(XMat,yVec) {
N = dim(XMat)[1]
p = dim(XMat)[2]
reRunSOIL_AIC = SOIL(x=XMat,y=yVec,family="gaussian",weight_type="AIC",
psi=0,method="union",
n_bound = floor(N*0.5))
candMat_Exp = reRunSOIL_AIC$candidate_models_cleaned
modelWeight_AIC = reRunSOIL_AIC$weight
largestIndex = which.max(modelWeight_AIC)
largestModel = which(candMat_Exp[largestIndex,] != 0)
numCV = 1000
mseVec = rep(0,times=numCV)
for (i in 1:numCV) {
trainInds = sample(1:N,size=floor(0.9*N),replace=FALSE)
trainX = XMat[trainInds,largestModel] # which(candMat[maxInd,] != 0)]
trainY = yVec[trainInds]
#
testX = XMat[-1*trainInds,largestModel] #which(candMat[maxInd,] != 0)]
testY = yVec[-1*trainInds]
trainDF = data.frame(y = trainY)
trainDF = cbind(trainDF,trainX)
tempM = lm(y ~ .,data=trainDF)
testDF = as.data.frame(testX)
colnames(testDF) = colnames(trainDF)[-1]
tempPred = predict(tempM,newdata=testDF)
mseVec[i] = mean((testY - tempPred)^2,na.rm=TRUE)
}
estSigma2 = mean(mseVec)
return(estSigma2)
}
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