Statistical mechanics of learning multiple orthogonal signals: asymptotic theory and fluctuation effects.

By D. Hoyle, Magnus Rattray. 2007

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The singular values and vectors of low rank perturbations of large rectangular random matrices (2011, background): “…distributions for the noise model X ) and recover as a special case results found in the literature for the eigenvalues [8, 9] and eigenvectors [34, 46, 44] of X X ∗ in the setting where X in (1) is Gaussian. e e Such results had already been proved in the particular case where X is a Gaussian…”
The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices (2009, background): “Additive perturbation of a Gaussian Wigner matrix.”