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The Expectation Maximization (EM) algorithm for Gaussian mixture model

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Amin Gan
Amin Gan 2015-10-30
I have four (N) Gaussian component with 1000 (M1:M4) random sample for each. The following is the procedure: xn=STD(n)*randn(M(n),1) + mu(n). And x=[x1; x2; x3; x4]. I use these following: options = statset('Display','final') obj = gmdistribution.fit(x,N,'Options',options). for i = 1:N, mu(i) = obj.mu(i); sigma(i) = sqrt(obj.Sigma(1,1,i)); weight(i) = obj.PComponents(i); gaussPdfi(:,i) = weight(i)*normpdf(xaxis,mu(i),sigma(i))/A; end This method works, but for each Gaussian component I have the fixed Weight (w) and gmdistribution.fit does not take weight into account and each time I run the program, it gives me random weight, and random shape accordingly.
How can I consider fixed weight into my calculation in order to get fixed shape each time I run the program?

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