The enterprise input-output matrix A ∗ for the New Zealand dairy manufacturing system is reasonably sparse (Figure 1, left plot).
It is demonstrated in [11] that the solution of Eq. (21) is equivalent to that of the following sparse linear equation: left(L+lambda Uright)widehat{t}=lambda tilde{t}, (22).
We will not enter into details, but just note that the sparse structure of the left hand side matrix in (9) is the cornerstone for the fast computation of the AI-matrix used in the numerical maximisation of the REML likelihood.
The right-hand side with K 2 + n parameters can be interpreted as a sparse parametrization of the left-hand side with n 2 parameters.
As shown in the left part, the sparse solutions of the basis vectors e m are defined as the children sparse vectors β m which will be employed to accelerate the proposed algorithm.
The set of designed numerical operators is based on a specific dilation operator that makes it possible to handle concepts like "between" or "left of" over sparse representations of image data such as graphs.
These responsibilities, along with raising children and a sparse sex life, are causing left-behind rural wives more psychological stress and affecting their mental health [ 6].
As shown in the left Fig. 2a, sparse nanowires are aligned irregularly, reclining or lying.
In contrast, sparse speaker frames observed by lower left component correspond to smaller zero-order Baum-Welch statistics and minor adaptation.
Data on the usefulness of 2D strain (2DS) echocardiography to differentiate hypertrophic cardiomyopathy from hypertensive left ventricular hypertrophy are sparse.
The signal at the right is sparse, but its derivative (signal at the left) is still more sparse.
