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This avoided incurring the computational cost of decomposition plus residual computation for each phenotype as would typically be done if a linear model was fit separately for each phenotype and marker.
Since the computation for each k is parallel, the computational complexity can be less than 3(r c +1 N 2+12(r c +1 N+O(r c ).
This method lends itself easily to nearly unlimited parallelization, i.e., each coefficient can be computed independently of the others, and the covariance computation for each coefficient is highly parallelizable.
By computation, for each (xin K), the lower-level solution set (M x)={ x}).
This stage is parallelized by distributing the computation for each angular position to individual cores.
Two dimensional strings are used to represent the resource computation for each task in each processor.
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Additionally, to avoid computation of pairwise distances for all evidence that can have quadratic complexity [23], we chose to perform the computations for each dimension individually.
The control unit block guarantees the correct synchronization between the arrival of the input data and the computations for each PE.
The Transformation Method (TM), presented by M. Hanss, replaces interval arithmetic with a set of deterministic computations: for each interval, all parameter extrema are combined in every possible way.
In addition, despite the fact that the scheme introduced in this subsection requires sequential computations for each raster region, this process can nonetheless be pipelined with the MV cost calculation.
We evaluate the complexity of the MP-SA and MA-SA methods empirically by comparing the average number of paths extended and the total number of inner product computations for each data block.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com