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# ' To clean Z based on R2
# ' @export
# '@param Z binary adjacency matrix of the structure (size p)
# ' @param X the dataset
# ' @param R2min lower boundary for the structure (on R-squared value)
# ' @param methode parameter for OLS (matrix inversion) methode_BIC parameter for OLS (matrix inversion) 1:householderQr, 2:colPivHouseholderQr
# ' @param adj boolean. Adjusted R-squared or classical one (if FALSE).
cleanZR2<-function(Z=Z,X=X,R2min=0.4,methode=1,adj=TRUE){
p=ncol(Z)
res=double(p)
res_new=res
quicol=which(colSums(Z)!=0)
for(i in quicol){
qui=which(Z[,i]!=0)
ploc=length(qui)
beta=OLS(X=X[,qui],Y=X[,i],intercept=T,methode=methode)$beta
MSE=MSE_loc(Y=X[,i],X=as.matrix(X[,qui]),intercept=T,A=beta) #on met as.matrix pour les cas avec une seule colonne
res[i]=1-(MSE)/(var((X[,i])))
if(adj){
res[i]=res[i]-(1-res[i])*ploc/(ncol(X)-ploc-1)
}
if(res[i]<R2min){#on supprime ce qui est pourri
Z[,i]=0
}else{
res_new[i]=res[i]
}
}
return(list(Z=Z,res_old=res,res_new=res_new))
}
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