This may seem to be a simple task, however I am new in the field of
statistics. I am interested in creating an MxN value matrix X(where M
rows can be taken as the attributes or values and N columns are
considered the instances that you are testing) such that the
correlation matrix of such MxN values C, (which will be of dim NxN)
will be extremely sparse. I am just looking to do this for random data
generation and testing. Therefore I while most of the data is to be
random, I do want to have a few of the instances (col) in X have
controled dependency.  I have been guided to try to use conditional
probability, however thus far have not been able to understand how
this will help me. I am overall a little confused on what eventually
creates a "sparse correlation matrix" because it seems to me that if I
created streams of random numbers, and set a few col dependent on one
another this would create a sparse matrix. However upon review of
correlation functin, I can see that since the col are extremely
different they are turning up with a rather dense correlation matrix.
Any help would be greatly appreciated.
.
.
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