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As aforementioned above in Assumption 1, the optimal training matrix that minimizes the MSE should satisfy P d P d H = N σ P d 2 I K.
As it has been shown in[1], the optimal training matrix that minimizes the MSE under a constant training energy N 1 σ P t 2 should satisfy.
Future work in this sense should be performed in order to identify the physico-chemical properties of the PSi matrix that minimizes the oxidation in such hybrid materials.
We use the trellis exploration algorithm to design a precoding matrix that minimizes the interference from other users by allocating power in the appropriate eigenmodes.
Based on this, the optimal T can be defined as the matrix that minimizes the mean distance between each fixation contained in F and the coordinates of the center of its closest stimulus.
For example, seeking the column ordering for a non-COP matrix that minimizes the number of gaps between the ones in each row can be reduced to the traveling salesman problem [ 24].
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Unfortunately, matrices that minimize Equation 21, and hence optimize the cutoff rate, do not admit a closed form solution.
The MMSE design of the DF MIMO receiver searches for the filtering and permutation matrices that minimize the variance of the error vector ε t, p [ n ] = Pu [ n ] - u ^ t [ n ].
As explained in [5], the MMSE THP design searches for the filtering and permutation matrices that minimize the variance of the error vector ε t [ n ] = P T Bv [ n ] - d ^ t [ n ] = ε [ n ] - g H η t [ n ], where ε[n] = P T B v[n] - gy[n] is the error vector when there is no Tx-noise.
Here, we selected nuclear genes from those matrices that minimized missing data and maximized taxon coverage to resolve the question at hand.
The matrix Q that minimizes a given distance metric d ( R, R ̃ ) or that maximizes a given similarity metric s ( R, R ̃ ) is determined.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com