This rewiring scheme is equivalent to randomly switching pairs of 0 and 1 in the rows of the adjacency matrix while keeping the raw and column margins unchanged.
Both R and Q values were calculated for model predictions on the original data matrix as well as for 20 random orderings of the Y (health outcomes) data matrix, while keeping the X-matrix (emissions sample composition) fixed.
The permutations re-sort the base composition of the matrix while keeping other associations such as the GC content and the depth of the matrix, i.e. the number of sites, unchanged.
Third, to minimize the loss of information in the original marker matrix, while keeping the dimension small, principal component scores (U D) of X were used as inputs as well.
Schaefer and Strimmer (2005), who approach a similar problem in the context of gene association networks, use a shrinkage factor in a computationally efficient way for zeroing entries in the covariance matrix, while keeping it well conditioned.
Finally, a digest with proteinase K (code S3004; Dako) for 15 minutes turned out to be most suitable since it led to a sufficient degradation of the interfering cartilage matrix while keeping the sensitive protein structure of the CD166 molecule intact.
The nonlinear optimization method based on solving a system of nonlinear equations is employed in finding the structural parameters which give the maximal dipole matrix element while keeping the absorption peak at the desired wavelength.
It then alternately solves for the left and right singular vectors of the rank-1 matrix D while keeping the other one fixed (step 2).
The theorem follows by writing equations (A3.27a– A3.27c) in the matrix form while keeping only the leading order of s.
In these circumstances, it is therefore needed to estimate the covariance matrix with fewer samples while keeping a reasonable detection performance.
Firstly, a necessary and sufficient condition is proposed for the incremental mass and stiffness matrices that modify some eigenpairs while keeping other eigenpairs unchanged.
