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Young et al.'s Gene Enrichment Motif Searching (GEMS) [ 6] uses a hypergeometric-based scoring scheme and a position-specific weight matrix optimization procedure to identify putative motifs.
The PRS proves to be more robust to the matrix optimization procedure as the correlation between the solution of (3) and the original matrix was much greater (R = 0.92) than for the Gilis matrix (R = 0.67).
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MINITAB v16 statistical package (Minitab Inc., State College, PA, USA) software was applied for generating experimental design matrix, data analysis and optimization procedure.
The procedure of matrix optimization, which implies the search of the best matrix location and length, defined the optimum length for AuxRE sequence as 25 nt with the core hexamer located in the center.
Assuming that K rgb° is the calibration matrix of the RGB camera, an optimization procedure is formulated to estimate the variables q v,i ° and (mathbf {q}_{v,i}^{circ} left (mathbf {q}_{v,i}^{circ}=z_{i}mathbf {q}_{v,i}=left [begin {array}{cc} u_{i}^{circ} & v_{i}^{circ}end {array}right ]^{T}right))of vertex i.
The 'Mathematical approximation' section develops mathematical preparation for optimizing the considered relay network, and 'Optimization of the proposed relay network' section gives a detailed optimization procedure to derive the optimal beamforming and equalization matrices.
The controller design is accomplished by means of a convex optimization procedure formulated using linear matrix inequalities (LMIs).
Providing the original matrix with the determined cutoff value, the set of experimentally defined GATA-3 binding sites and initial functional window to the optimization procedure, we attained a new matrix.
To tackle design problem, we propose a three-stage optimization procedure in which a low rank matrix constraint is enforced.
The multivariable PI controller is designed through an optimization procedure based on solving some Linear Matrix Inequalities.
The proposed optimization procedure adjusts the parameters of a projection matrix and an adaptive reduced-rank filter that operates at the output of the bank of filters.
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