DDlsmh<-function(Niter,Y.i,Y.ia,M,N,D,Zs){
mxzmatKL.new=matrix(NA,nrow=Niter,ncol=1)
mxzmatKL.new[1,]=10000000
Lambda.0=diag(D)*.00001
Lambda.1=diag(D)*.00001
Z.i=Zs$Z.i
Z.a=Zs$Z.a
alpha.0=as.numeric(glm(c(Y.i)~c(as.matrix(dist(Z.i)^2)))$coeff[1])
alpha.1=as.numeric(glm(c(Y.ia)~c(as.matrix(Z.i%*% t(Z.a))))$coeff[1])
dis.new=.5
i=2
while( i<Niter ){
B=solve(diag(D) + 2*Lambda.0 + 2 * Lambda.1)
C=solve(diag(D)+4*Lambda.0)
cont.i <- dist(Z.i %*% chol(C))^2
alpha.0=DDupalpha.0(alpha.0, C, Y.i, cont.i)
alpha.1=DDupalpha.1(alpha.1, B, Y.ia, Z.i, Z.a)
Lambda.0=DDupLambda.0(alpha.0, alpha.1, C,B, Y.i, Y.ia, cont.i, Z.i, Z.a, Lambda.0, Lambda.1 ,p.lambda.0=1)
B=solve(diag(D) + 2*Lambda.0 + 2 * Lambda.1)
Lambda.1=DDupLambda.1.ia( alpha.1, B, Y.ia, Z.i, Z.a, Lambda.0, Lambda.1 ,p.lambda.1=1)
Z.i=DDgetZ.i.t(Y.i,Y.ia, Lambda.0,Lambda.1,Z.i, Z.a,alpha.0,p.lambda.0=1,alpha.1)
if(max(abs(range(Z.i)))>5){
Z.i=DDgetZ.i.t(Y.i,Y.ia, Lambda.0,Lambda.1,Z.i, Z.a,alpha.0,p.lambda.0=1,alpha.1)
}
Z.a=DDgetZ.a.t.i.ia(Y.i,Y.ia, Lambda.0,Lambda.1,Z.i,Z.a,p.lambda.1=1,alpha.1)
if(max(abs(range(Z.a)))>5){
Z.a=DDgetZ.a.t.i.ia(Y.i,Y.ia, Lambda.0,Lambda.1,Z.i,Z.a,p.lambda.1=1,alpha.1)
}
mxzmatKL.new[i,1]=DDKL(alpha.0, alpha.1, Lambda.0,Lambda.1, Z.i,Z.a, Y.i,Y.ia)
dis.new=sum(mxzmatKL.new[i,1])/sum(mxzmatKL.new[i-1,1])
i=i+1
}
list(lsmhEZ.i=Z.i,lsmhEZ.a=Z.a,lsmhVZ.0=Lambda.0,lsmhVZ.1=Lambda.1,lsmhAlpha.0=alpha.0,lsmhAlpha.1=alpha.1,
lsmhKL=mxzmatKL.new[i-1,1])
}
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