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To conveniently compute the point x k + 1, Mastroeni in [15] proposed the auxiliary problem principle for solving Problem EP ( f, C ).
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An ANP case is conveniently computed by super decisions ANP software.
Principal angles can be conveniently computed using singular value decomposition as P 1 ′ P 2 = US V ′ (2).
Following the same authors, C can be conveniently computed as the weighted covariance of y i and R i, i.e.e
Within this method and following Stainier and Ortiz (2010), all unknown variables are jointly and conveniently computed by minimizing an incrementally defined potential.
Following the same authors, C can be conveniently computed as the covariance of y i and R i, i.e. ( C=frac{2}{mu}{operatorname{cov}}_wleft {y}_i,{R}_iright)=frac{2}{ Nmu}{displaystyle sum_{i=1}^Nleft {y}_i-mu right)left {R}_i-frac{1}{2}right)} ).
Using the linear system of GM-ELM in conjunction with linear random vibration theories, response statistics such as the mean up-crossing rate and first-passage probability of the nonlinear system can be conveniently computed.
Furthermore, URSA conveniently computes a probability value for each predicted tissue/cell-type annotation that provides a natural intuition about the strength of the predicted tissue/cell-type signal present in a given sample.
While the estimated binding signal is of good utility and can be conveniently computed for a given dataset using our software package, by extension, we can envision a complete ChIP-seq analysis methodology where the raw ChIP-seq signal would be subjected to a comprehensive multistage decomposition process, taking into account all relevant control datasets at the same time.
The parameters in the proposed multi-state model may conveniently be computed using a semi-parametric or parametric approach with an existing R package FrailtyPack for frailty models.
As discussed in the section on the estimation procedure method, an important advantage of our proposed approach is that the parameters in the multi-state model may conveniently be computed using a semi-parametric or parametric approach with an existing R package FrailtyPack for frailty models.
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