The title actually claims it all – I am not pretty absolutely sure if this is solvable. I have two vectors A and C and I want to make a vector B so that the marriage amongst the mutual information and facts I(A,B C) is purely synergistic (ie XOR(A, B) = C). The capture is that A and C are not binary vectors: they array from -3 for A and -4 for C. EDIT – I am in fact not certain if this is feasible if A and C are now correlated as A is will often release data about C no matter of the construction of the other variable.
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