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To alleviate the conditioning of the resultant matrix, we employ the multiple-scale method.
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The curve with t = 1 denotes that the matrix we employed is Φ 128×256.
For the spatial weights matrices, we employed both standardized spatial contiguity weights and Inverse Distance Weights.
Instead of inverting this matrix directly, we employ the Sherman-Morrison-Woodbury formula [ 12], to change the matrix inversion to one that only has the same rank as the number of observations, which usually is much smaller than the number of SNPs in genetic studies.
Moreover, in the matrix inversion, we employ an implicit pivoting strategy that migrates the workload (i.e., operations) to the place where the data resides instead of moving the data to the executing cores.
The matrix method we employ has, on average, a Pearson's correlation coefficient of 0.56 with respect to experimental data, whereas the original NN performance was 0.62 (see Table 1) [73].
To confirm that TLR8 stimulation of monocytes inhibits matrix degradation we employed a functional matrix breakdown assay.
As a method of verifying the velocity models estimated by modeling long-period S-waves using the Propagator Matrix method, we employed the H-to-V spectral ratio (HVSR) method.
With the above caveats, the comparison of these sets of codes with the standard code and its locally optimized version yielded several salient observations that held for both measures of amino acid replacements (the PRS and the Gilis matrix) that we employed.
Then, we employ matrix permanents to derive a closed-form tight upper bound for the ergodic sum capacity.
A key novelty of our work is that in addition to the low rank of the matrix, during the recovery, we employ a dictionary for modeling the generative process that produces the sensed data, as it can be seen in Eq. (9).
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CEO of Professional Science Editing for Scientists @ prosciediting.com