Sentence examples for sum of the singular from inspiring English sources

The truncated sum of the singular values is used to distinguish the color filter array pattern.

The truncated sum of the singular values was used to identify the Bayer CFA pattern.

Because both the original pixels and the interpolated pixels are assumed to have similar singular values in the background region, we use the truncated sum of the singular values for the color difference blocks.

Finally, the trace norm penalty is the sum of the singular values of η, which induces η to have low rank.

t.    X = A Z, where || Z||∗ means the nuclear norm of matrix Z, that is, the sum of the singular values of matrix Z. Strictly speaking, the dictionary A should be overcomplete and noiseless.

In particular, the sum of the singular values provides a simple flexibility measure, with large values indicating a greater relative change in the outputs for parameter perturbations of a fixed size.

The tightest convex relaxation of problem (1.1) is the following nuclear norm minimization problem: min_{X} Vert X Vert _{bigstar} quadtext{s.t.} quadmathrm{A} ( X ) = b, (1.2) where (Vert X Vert _{bigstar} = sum_{i = 1}^{r} sigma_{i} ( X )) is the sum of all the singular values of (X in R^{m times n}) with (operatorname{rank} ( X ) = r) (without loss of generality, (n le m)).

The loss of energy with the selected D′ and F′ is proportional to the sum of the corresponding singular values of the discarded singular vectors contained in U m).

In this paper, we attempt to remove large singular values to eliminate the background effect and present a CFA pattern identification algorithm using the sum of the remaining singular values.

Our method is based on a Gaussian-sum approximation of the singular convolution kernel combined with a Taylor expansion of the density.

First, we determine the diagonal pair consisting of R and B in the Bayer CFA pattern by comparing the difference of the sum of singular values for the diagonal and anti-diagonal term pairs.