Sentence examples for using the generalized inverse from inspiring English sources

By using the generalized inverse approach, the effect of the unknown inputs can be decoupled completely from the residual signals.

Produce a typical set of gains for one interferer using the generalized inverse method.

From this expression, we propose the following two-step approach: 1. Produce a typical set of gains for one interferer using the generalized inverse method.

In the process of solving Eq. (5.1) by setting t = q, q ∈ [ a, b ], no matter whether it is consistent or inconsistent, we obtain the minimal norm least squares solution [20] by using the generalized inverse of the coefficient matrix S, i.e., X ( r ) = S † ( q ) Y ( r ).

The weak fuzzy solutions to the fuzzy system are expressed by using the generalized inverses of the coefficient matrix.

Because of the principal applications of generalized inverses is to the solution of linear systems and matrix equations in the singular case, we use the generalized inverse of matrices to demonstration that the transform function of the neural synaptic matrix is trapdoor one-way function.

The ordinary least squares estimator of β found using the generalized Moore-Penrose inverse method is β * = ∑ i = 1 n d i s i V i (6 Thus, β * depends on the ratios d i s i, i = 1, …, n, between transformed data points and the decaying singular values, which could be interpreted as representing a decreasing signal-noise ratio sequence.

Differential expression was computed using the generalized linear model implemented in the Bioconductor package DESeq2.

Exchange correlation was described using the generalized gradient approximation in the Perdew–Burke Ernzerhof implementation.

We computed chemical structure similarity scores of compounds by using the generalized Jaccard correlation coefficient.

Using the generalized f-projection method.