Deleting row/column iteratively of a correlation matrix
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Hi guys,
So I have a correlation matrix E which is quite large. Some of the individual (i,j) entries have E(i,j)>0.95 (or similar high values). I want to remove the j row/column in the correlation matrix since the correlations of j can be explained by i anyway (i and j are highly correlated). I want to do this for all such (i,j) pairs (this will have to be done iteratively for each entry where E(i,j)>0.95). However, I would also like a record of the j removed from the original matrix. For example:
E= 1 0.97 0.4
0.97 1 0.38
0.4 0.38 1
Hence I want the algorithm to select E(1,2) entry, and delete the second row and column. It will then move to the second such E(i,j)>0.95 and record the j removed ( but I would like to know what column/row j that has been removed from the original matrix). The output of the code will be the reduced matrix and the column/rows j deleted from the original matrix E.
Thank you so much for all your help!
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