Multiplying two matrices of probabilities with different sizes.
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Hi guys,
I have two matrices, with different sizes,that represents the probabilities of occurrence for two independent events. I want to create a new matrix that represent the probability of occurrence for these two events together. I tried multiplying the matrices,but the sum of the probabilities did not produce 1.
any Ideas? this is the code :
attributesize=4;
FileNumber=10;
BSTotal=7;
Files=exprnd(1,attributesize,FileNumber);
Files=Files./repmat(sum(Files,1),attributesize,1);
BS=exprnd(1,BSTotal,attributesize);
BS=BS./repmat(sum(BS,2),1,attributesize);
R= BS*Files;
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Kaushik Lakshminarasimhan
le 24 Août 2018
Modifié(e) : Kaushik Lakshminarasimhan
le 24 Août 2018
I don't think there is anything wrong with your code. What is wrong is your interpretation of the outcome of multiplying your matrices.
Each entry of R denotes the probability that the file actually contains the attribute that the user requests. Specifically, R(i,j) denotes the probability that file number j contains the attribute that user number i requested. This number need not be 1. Also, the sum of columns or sum of rows of R need not be 1 --- the sums are not even probability values because they represent a sum of probabilities of events that are not mutually exclusive.
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