Sentence examples for matrix factors of from inspiring English sources

The ALS algorithm rapidly converges when one of the three matrix factors of the model is known.

The second category of constraints concerns the case where the core tensor and/or some matrix factors of the tensor model have a special structure.

Generally, the ALS algorithm is sensitive to the initialization, and convergence to the global minimum can be slow when all the matrix factors of the model are unknown [25].

Note that uniqueness of the matrix factors of the contracted PARAFAC model (83) implies uniqueness of the matrix factors A(1) and A(2) of the original PARATUCK‐(2,4) model.

In a first part, we present a new alternating least squares (ALS -based method for estimALS -basedmethod fortors of a Kronestimatingucthethe so-called Kronecker ALS (KALS) matrix.

The considered constrained tensor models allow to take constraints into account either independently on each matrix factor of a PARAFAC decomposition, in the case of PARALIND/CONFAC models, or between factors, in the case of PARATUCK models.

However, we have recently shown that when the number of SNPs used to estimate genetic similarity,, is less than the cohort size,, and when genetic similarity matrix,, factors as (of dimension ), then the computations (and memory requirement) become linear in (Lippert et al., 2011).

For the minimization of the fill-in in the matrix factors a modification of the approximate minimum degree ordering algorithm of Amestoy, Davis and Duff is utilized.

Incorporation of constraints in tensor models may facilitate physical interpretability of matrix factors.

Other matrix slices can be deduced from (40) by simple permutations of the matrix factors.

Generalizations of this condition can be obtained by imposing additional constraints on the ranks and k‐ranks of the matrix factors (see[94] for details).