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The suggested correction score S c added according to prevalence was computed using the formula S c = log(OR) · b; here, OR represents the odds ratio between the new population being corrected for and the derivation cohort, calculated as OR = odd s new 0.0238 ; moreover, b is the slope of the linear transformation between log-transformed odds and score (see above).
This last proposition allows considering X as the matrix defining the linear transformation between points and durations.
This adaptation (as illustrated in Figure 3) corresponds to the estimation of a linear transformation between two Gaussians obtained by Figure 3 LIAMAP: Method to estimate a unique linear transformation for all Gaussians of a codebook.
It should be mentioned that one may use Mie theory for simulation of extinction spectra of monodisperse metal and insulator spherical particles, and for extinction spectra of particles with non-spherical shapes T-Matrix simulation (linear transformation between coefficients of scattered and incident fields [19]) is the only exact solution [16, 20, 21, 22, 23].
Matrix A is also the linear transformation between the measurement space and the voxel-based image space.
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Linear autoencoders correspond to the special case where only linear transformations between visible and hidden variables are used.
When overlaid on the transformed T1 and T2 maps for other subjects, the ROIs in some cases revealed small displacements relative to the intended structure, due to limitations of linear transformations between brain images.
Furthermore, our ANN architecture using 2 MLPs is potentially able to include more than one dependent variable (in addition to EWL) and operate a non-linear transformation between them.
We approximate the non-linear transformation between adjacent sections by an independent rigid-body transformation (rotation and translation) for each image tile of the section mosaics.
However, if the two closely spaced eigenvalues have a reasonable frequency distance to all other eigenvalues of the system, then a linear transformation exists between the set of perturbed and unperturbed mode shapes describing the significant changes as a rotation in the initial subspace defined by the two mode shapes.
We did not apply a linear transformation (operator) between data vector spaces in order to preserve the operation of data vector addition in the original data.
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