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# ' Computes the MSE on the joint distribution of the dataset
# ' @param X the dataset to predict
# ' @param X_appr an optional learning set
# ' @param B the structure tested (if known)
# '@param Z binary adjacency matrix of the structure (size p)
# ' @param scale boolean defining wether the dataset has to be scaled or not
# '@export
MSEZ<-function(X=X,X_appr=NULL,B=NULL,Z=Z,scale=TRUE){
X=scale(X)
I1=which(colSums(Z)==0)
X1=cbind(1,X[,I1])
X2=X[,-I1]
I2=(1:ncol(Z))[-I1]
res=sum(apply(X1,2,var))
if(is.null(B)){
if(is.null(X_appr)){X_appr=X
}else{
X_appr=scale(X_appr)
}
B=hatB(Z=Z,X=X_appr)
}
X2=X[,-colSums(Z)!=0]
res=res+sum(apply(X2-X1%*%B[-(I2+1),I2],2,var))
return(res)
}
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