--- /dev/null
+function[phiInit,rhoInit,piInit,gamInit] = initSmallEM(k,x,y,tau)
+[n,m]=size(y);
+gamInit1=zeros(n,k,20);
+for repet=1:20
+ Zinit1(:,repet)=clusterdata(y,k);
+ for r=1:k
+ betaInit1(:,:,r,repet)=pinv(transpose(x(Zinit1(:,repet)==r,:))*x(Zinit1(:,repet)==r,:))*transpose(x(Zinit1(:,repet)==r,:))*y(Zinit1(:,repet)==r,:);
+ sigmaInit1(:,:,r,repet)=eye(m);
+ phiInit1(:,:,r,repet)=betaInit1(:,:,r,repet)/sigmaInit1(:,:,r,repet);
+ rhoInit1(:,:,r,repet)=inv(sigmaInit1(:,:,r,repet));
+ piInit1(repet,r)=sum(Zinit1(:,repet)==r)/n;
+ end
+ for i=1:n
+ for r=1:k
+ dotProduct = (y(i,:)*rhoInit1(:,:,r,repet)-x(i,:)*phiInit1(:,:,r,repet)) * transpose(y(i,:)*rhoInit1(:,:,r,repet)-x(i,:)*phiInit1(:,:,r,repet));
+ Gam(i,r) = piInit1(repet,r)*det(rhoInit1(:,:,r,repet))*exp(-0.5*dotProduct);
+ end
+ sumGamI = sum(Gam(i,:));
+ gamInit1(i,:,repet) = Gam(i,:) / sumGamI;
+ end
+ miniInit=int64(10);
+ maxiInit=int64(11);
+
+ [~,~,~,LLFEssai,~] = EMGLLF(phiInit1(:,:,:,repet),rhoInit1(:,:,:,repet),piInit1(repet,:),gamInit1(:,:,repet),miniInit,maxiInit,1,0,x,y,tau);
+ LLFinit1(repet)=LLFEssai(end);
+end
+[~,b]=max(LLFinit1);
+
+phiInit=phiInit1(:,:,:,b);
+rhoInit=rhoInit1(:,:,:,b);
+piInit=piInit1(b,:);
+gamInit=gamInit1(:,:,b);
+end
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