Therefore, I attempt to orthogonalize
UWIB to other variables and conduct robustness checks.
(2).Gram-Schmidt orthogonalization process is employed in order to orthogonalize
The principle of PCA is to reduce data dimension and orthogonalize
the original multidimensional data to obtain a set of values of linearly uncorrelated variables to minimize the chance of overfitting and improve the speed of training procedure.
Cholesky uses the inverse of the Cholesky factor of the residual covariance matrix to orthogonalize
Another way to build an orthonormal basis is to first compute a Krylov basis of size m, where m matrix-vector multiplications can be done in parallel, and to orthogonalize
each feature vector and obtain its orthogonal matrix and transpose matrix:
the first score [t.sub.1] (first component containing maximum of information) to Y in order to obtain new score tn as follows:
For example, both the allocation schemes orthogonalize
the WSOs in frequency domain by allocating a dedicated channel to each allocated WSO, while the proposed scheme orthogonalizes
WSOs in a joint time-frequency domain by slicing the available TVWS in the frequency bands and further slicing each channel (frequency band) into a number of COTs in the channel window time, as discussed in Section 4.
In order to do so, we orthogonalize
the structural residuals in the model by imposing restrictions on the [[beta].sup.i.sub.j] parameters.
Since the reduced-form residuals are correlated and cannot be interpreted as structural shocks, a block-recursive structure is imposed on the contemporaneous relationship between the reduced-form residuals and the structural innovations to orthogonalize
One could also choose to orthogonalize
the solution against the nullspace inside the algorithm, but in our experience the performance results are similar.
Discrete expressions for the evolutionary spectrum based on the HHT are deduced, and the Gram-Schmidt method is used to orthogonalize
the EMD components to avoid energy leakage during the analysis of the typhoon's evolutionary spectrum.