Sentences with phrase «eigenvalue spectrum»

The eigenvalue spectrum can tell you a * lot * about the structure of the data.
Precisely that question was addressed by Mann and coworkers in their response to the rejected MM comment through the use of so - called «Monte Carlo» simulations that generate an ensemble of realizations of the random process in question (see here) to determine the «null» eigenvalue spectrum that would be expected from simple red noise with the statistical attributes of the North American ITRDB data.
They are correct in that i implemented the fit to the log eigenvalue spectrum in fig S4 incorrectly, but fortunately it makes no difference (as stated above)-- I have no idea why they didn't let me know when they found it.

Not exact matches

To overcome these limitations, mathematicians in CRD developed a technique to compute the absorption spectrum directly without explicitly computing the eigenvalues of the matrix.
«Traditionally, researchers have had to compute the eigenvalues and eigenvectors of very large matrices in order to generate the absorption spectrum, but we realized that you don't have to compute every single eigenvalue to get an accurate view of the absorption spectrum,» says Chao Yang, a CRD mathematician who led the development of the new approach.
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