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Hence, the size of measurement and sparsifying basis matrices are reduced and the reconstruction algorithm can be implemented in parallel.
The aerodynamic influence coefficient (AIC) matrices at different folding angles are obtained by the Doublet Lattice based aerodynamics theory, and then the orders of these AIC matrices are reduced by the spline interpolation technique.
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Accordingly, the nonlinearity of the interpolation is improved and the rank deficiency of the covariance matrices is reduced.
The length of the feature vectors in these matrices is reduced by performing a principal component analysis (PCA) [ 27].
Real association matrices were reduced by randomly extracting interactions, e.g. from the total of m = 2183 visits in Memmott's web down to m = 5 visits (in steps of five, repeated ten times for each m).
The modelling results show that the stress concentration in both fibre and matrix are reduced significantly by the curved fibre placement and the stiffness of CFRP composites have been improved.
The criterion 3 of the partitioner ensures that the number of fill-ins in the matrix are reduced, but they are overall significantly higher than for the individual partition matrices.
This means that if we generate a suitable random matrix (that is, if it satisfies RIP and NSP), we can also obtain a precise reconstruction, even if the dimensions of the matrix are reduced.
The proposed approach generates a random measurement matrix, where the dimensions of the random measurement matrix are reduced to a quarter (or 1/16, 1/64, and even 1/256) of the number of dimensions, which are used for conventional CS.
As shown in Fig. 1, when the sparsity value k is relatively small, namely k ≤ 20, the probability of an exact reconstruction remains almost 100%, regardless of whether the dimensions of the measurement matrix are reduced.
The DE matrix is reduced by the algorithm to contain only the comparisons in which the seed gene under consideration is found to have significant DE.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com