Sentence examples for matrix drawn from from inspiring English sources

The procedure minimizes the associated cost function through a series of orthogonal transformations, each represented economically as the exponential of a skew-symmetric matrix drawn from a low-dimensional space.

The design interface matrix drawn from this information is shown in the exhibit "Creating an Alignment Matrix for Pratt & Whitney". We then asked at least two members of each of the 54 teams involved in the project how often they received technical information from other teams during the detailed design phase of the project and how critical they perceived this information to be.

Low-rank procedures are often motivated by the statistical model where we observe a noisy matrix drawn from some distribution with expectation assumed to have a low-rank representation; the statistical goal is then to recover the signal from the noisy data.

Furthermore, instead of considering a channel matrix drawn from a probability distribution, a channel transfer function which depends on the geometric position of the scatterers relative to the arrays is considered (Fig. 2).

Following [52], a random projection matrix, drawn from a normal zero-mean distribution, provides with high probability a stable embedding[53] with the dimensionality of the projection d r ′ selected as the minimum value such that d r ′ > 2 z log ( 7, 680 / d r ′ ).

Theorem 2 says that if the matrix of eigenvector components of the Erdös Rényi graph Laplacian is sufficiently similar to a random matrix drawn from the Gaussian ensemble (in terms of assumptions A0 A5) then one would expect the partitioning of the R k into two clusters.

This approach necessitates choice of a suitable null model and generation of a distribution of random matrices drawn from it.

The loading matrix is drawn from a Gaussian distribution with a mean of 1 and a deviation of 0.5.

The elements of the random matrix are drawn from a uniform distribution on the interval [0,1].

A proportion of male gametes, based on the pollen migration matrix, is drawn from other populations to account for pollen flow.

These results concern both deterministic and generic uniqueness, i.e., uniqueness for a particular PARAFAC model or uniqueness with probability one in the case where the entries of the factor matrices are drawn from continuous distributions.