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The numerical optimization process is fully automated and based on parallel processing, making the computations very efficient.
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Bifurcation maps are generated using only matrix-vector products, thus making the computation of these maps feasible (>105 equations).
However, in these problems, assuming a kind of boundary condition is necessary for simplifying the problem and making the computation possible [24].
The number of variables to be estimated can grow exponentially with the size of (K) and (theta ), thus making the computation very costly.
Let us now see how Jayme was able to reduce the complexity to O(n3) in [46], by making the computation of each new graph in the sequence linear.
All these will largely increase the number of parameters to be estimated, making the computation quickly prohibitive and the parameter estimation imprecise.
We can set K=2 for our test, meaning that the largest matrix size is 2 × 2, making the computation very efficient.
Typically, the dimer and trimer fragments are significantly smaller than the full system, making the computation costs for a single oligomer negligible compared with the cost for a single calculation of the entire system.
For the analysis part of GWAS, the resulting hybrid algorithm will only take the time given in Table 5 plus a little overhead, making the computation time ∼30 s to 1 min as the filtering of case and control groups and computation of contingency tables are done locally.
However, we have recently proved sufficient statistics for the orthogonal superposition problem that allows each updated superposition to be computed as a constant-time update over the previous ones (Konagurthu et al., 2014), making the computation of I (T | S & A ), and I-value under rigid superposition, linear.
During the discussions, the teacher pointed out how the students rearranged, transformed, and substituted numbers to make the computations easier to compute mentally.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com