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For each marker, we assigned a ranking or score based on either the average ranking (AVE) or the minimum ranking (MIN) of the five measures.
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Maximize the minimum rank of the matrix.
IMA-ISU research group on minimum rank [8] studied the minimum rank of skew-symmetric matrices.
The minimum rank value receives the best rank and the maximum rank value receives the worst rank [31].
Intuitively, the minimum rank r l s is n(n+1)/2 and the maximum rank r l b is n(2m+n+1)/2m+n+1
The diversity order of the code matrix is given by rN and is determined by the minimum rank of the correlated code matrix.
It can also correct no more than dmin/2 corrupted packets where dmin is the minimum rank distance of the rank codes.
The proof follows from setting the minimum ranks of the corresponding (B^{ i,ldots,j }A^{ i,ldots,j }) equal to (r(AB)).
The proof follows from setting the minimum ranks of the corresponding (B^{ i,ldots,j }A^{ i,ldots,j }) equal to zero.
The diversity order depends on the minimum rank r and according to (49) that is r=N which guarantees that the full diversity order can be achieved.
The rank criterion is to maximise the minimum rank of for any codeword and, and the eigenvalue criterion is to maximise the minimum product of the nonzero eigenvalues of.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com