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The lack of training may lead to ill-conditioned covariance matrix estimate and significant degradation in the covariance matrix based detection procedure.
More precisely, the variance of the noise covariance matrix estimate and then the associated performance degradation increases with an increasing relative weight given to the primary data with respect to secondary data in the linear combination of the two estimates, which explains the result.
On the contrary, in such situations, an optimal receiver would necessarily decide to discard the primary data and to keep only the secondary data not to increase the variance of the noise covariance matrix estimate and then not to decrease the performance.
Under the QNM prior for β, the Bayes factor is simply B F (y ) = p + T p (1 + I τ ^ ) p / 2 + 1 exp (T 2 ), (3)where T = I τ σ ^ 2 (1 + I τ ^ ) β ^ ′ Σ ^ β − 1 β ^, β ^ is the maximum likelihood estimate of β, adjusted by other risk covariates when necessary, Σ ^ β − 1 is the corresponding covariance matrix estimate and τ ^ and σ ^ 2 are the empirical Bayes estimates.
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Finally, the filtered signal is fed to -point FFT to obtain the channel gain matrix estimate between the relay and the th user during the second slot.
The OptShrink method requires noisy low-rank matrix and its rank estimate as input and provides denoised low-rank matrix estimate.
The contact potential matrix estimated by Miyazawa and Jernigan reflects the entropy between two residues.
This technique samples points in order to equally constrain all eigenvectors of the covariance matrix estimated from the points and the normals of the overlapping region of two point clouds.
LDA and QDA require no parameters except for the mean and covariance matrix estimates for each channel; these are computed from the training set.
where W(f) is the separation matrix estimated using a sparsity criterion and B(f) is a fixed beamforming filter.
The cophenetic correlation coefficient (CCC) between genetic dissimilarity matrix estimated from the morphological characters and the UPGMA clustering method was r = 0.93, showing a proof fit.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com