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How to get cluster more than 2 if i have :
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Y1 = mvnpdf(X,mu1,sigma1);
Y2 = mvnpdf(X,mu2,sigma2);
Y3 = mvnpdf(X,mu3,sigma3);
Cluster1 = Y1 > Y2;
Cluster2 = ~Cluster1;
Cluster3 = ??????
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Image Analyst
2019년 12월 15일
Original question
How to get cluster more than 2 if i have :
Y1 = mvnpdf(X,mu1,sigma1);
Y2 = mvnpdf(X,mu2,sigma2);
Y3 = mvnpdf(X,mu3,sigma3);
Cluster1 = Y1 > Y2;
Cluster2 = ~Cluster1;
Cluster3 = ??????
답변 (2개)
Walter Roberson
2019년 12월 7일
Cluster1 = Y1 > Y2 & Y1 > Y3 & Y2 > Y3
Cluster2 = Y1 > Y2 & Y1 > Y3 & Y2 <= Y3
Cluster3 = Y1 > Y2 & Y1 <= Y3 %Y2 < Y3 by transitive
Cluster4 = Y1 <= Y2 & Y1 > Y3 %Y2 > Y3 by transitive
Cluster5 = Y1 <= Y2 & Y1 <= Y3 & Y2 > Y3
Cluster6 = Y1 <= Y2 & Y1 <= Y3 & Y2 <= Y3
Or use kmeans() with the number of clusters that you want.
Caution: kmeans will always return the number of clusters you ask for, even if it does not make sense for the data.
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Walter Roberson
2019년 12월 7일
Pick any three of those.
Note that there is a difference between finding three clusters, versus finding three meaningfull clusters.
If your mu* values are well separated, you could probably use the mu* values as the locations around which clusters would be expected to form. If you were to sort the mu values, ms1, ms2, ms3, then you could form clusters "value <= (ms1+ms2)/2, (ms1+ms2)/2 <= value < (ms2+ms3)/2, value >= (ms2+ms3)/2 . These would, however, not necessarily represent equal areas.
Walter Roberson
2019년 12월 7일
I doubt that you want to be comparing Y1 to Y2 or Y3. I think you want to be throwing all of the values into one basket, [Y1, Y2, Y3] and then trying to form clusters that can distinguish which of the three sources the values came from.
Image Analyst
2019년 12월 7일
Just define Cluster3 to be something. What would you want it to be? It could be virtually anything you direct it to be.
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