the eigenvalues represent the variance of the data in the direction of the eigenvectors. In the case of axis aligned error ellipses, i.e. when the covariance equals zero, the eigenvalues equal the variances of the covariance matrix and the eigenvectors are equal to the...
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In addition, we take into account phenomenological limits from Higgs coupling mea- surements and EW precision tests. Together with a perturba- tivity requirement for the parameters of the extended scalar potential, we find that maximal deviations up to few times the SM trilinear Higgs self-...
large higher-order corrections are necessary to restore unitarity, thus leading to the breakdown of the perturbative expansion. This argument has been employed in the
Moreover, their adjacency matrices have to be equal up to permutations of the rows (or columns), hence their spectrum (of eigenvalues counting multiplicities) is identical. Unfortunately, one cannot distinguish two non-isomorphic graphs by their spectra in general; the least example (with respect ...
To solve for b when p > n , the Elastic Net (EN) was proposed in 2005 by Zou and Hastie [21]. The EN was hypothesized to be “like a stretchable fishing net that retains ‘all the big fish’” and uses both the Lasso and RR to find b . The EN is represented as the solution...
When “low” levels of collinearity are present in X , we use the set of k values of Hoerl, Kennard and Baldwin (HKB) to estimate b ; otherwise, we use the set of k values of Lawless and Wang (LW) to estimate b . With high probability, this simple algorithm will find more of ...
With high probability, this simple algorithm will find more of the true regressors than would the EN, and, with high probability, the resultant estimate of b will be more precise than the corresponding estimate yielded by the EN. The alternative to the EN outlined in the predecessor paragraph ...