Sentence examples for be decomposed using the from inspiring English sources

As shown in [17], the vector space of the noisy speech can be decomposed using the square matrix: mathbf{B} = mathbf{V}^{T} mathbf{R}_{mathbf{vv}}^{1/2} (22).

Reshape ( ℋ, A 1 … A L ) is a L th-order tensor and may be decomposed using the HOSVD: Reshape ( ℋ, A 1, …, A L ) = K × 1 U ( 1 ) … × L U ( L ), (15).

The analytic expression of the posterior density can be decomposed using the Bayes' rule as p ( x t ∣ Z t ) = k p ( z t ∣ x t ) p ( x t ∣ Z t - 1 ), (3).

The matrix T can be decomposed using the eigenvalue decomposition as: T = U † ∧ U with U = [u1, u2, …, u M ] and ∧ being a diagonal matrix with the eigenvalues in descending order.

According to [5] and many others, the MWF in (10) can be decomposed using the matrix inversion lemma as begin{array}rcl@ mathbf{G} &=& frac{P_{S}}{P_{S} + mu(boldsymbol{H}^{dag}boldsymbol{R}_{N}^{-1}boldsymbol{H})^{-1}},frac{boldsymbol{R}_{N}^{-1}boldsymbol{H}}{boldsymbol{H}^{dag}boldsymbol{R}_{N}^{-1}boldsymbol{H}},tilde{H}_{d}^{ast} end{array} (13).

Similarly, the target vector can also be decomposed using the same latent space as (6) V t T = T × P T + F, with P T the corresponding loadings vector and F a vector of residuals.

First, registered original images that need to be fused are decomposed using the multi-wavelet system.

We also tested if the population of single units (N = 1083) whose response profiles were decomposed using the NNMF analysis, displayed any significant difference in their activity during monocular and incongruent visual input.

To understand the variations in wave propagation, the Lamb modes were decomposed using the polarization characteristics of piezoelectric sensors, which were used to measure wave responses.

The space-variant temporal anomaly (Rtn) of SWC, which is responsible for the spatial variability of soil water dynamics, was decomposed using the EOF.

The terrain attributes of a study area were decomposed using the wavelet analysis, and the resulted components were applied to map soil organic carbon (SOC) content, pH and clay content using multiple linear regression (MLR) and regression kriging (RK).