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Rayleigh-Schr\"{o}dinger perturbation theory is a well-known theory in quantum mechanics and it offers useful characterization of eigenvectors of a perturbed matrix.
Spectral clustering and the high-dimensional stochastic blockmodel
Rohe, K · 1915
Earlier work this paper cites.
Quantisierung als eigenwertproblem
Schrödinger, E · 1926
Earlier work this paper cites.
The sizes of compact subsets of hilbert space and continuity of gaussian processes
Dudley, R. M · 1967
Earlier work this paper cites.
The rotation of eigenvectors by a perturbation. iii
Davis, C · 1970
Earlier work this paper cites.
Perturbation bounds in connection with singular value decomposition
Wedin, P.-Å · 1972
Earlier work this paper cites.
Séries des variables aléatoires gaussiennes à valeurs dans E ⊗ ^ ϵ F E\widehat{\otimes}_{\epsilon}F , application aux produits d’espaces de wiener abstraits
Chevet, S · 1978
Earlier work this paper cites.
Some applications of the metric entropy condition to harmonic analysis
Pisier, G · 1983
Earlier work this paper cites.
Matrix perturbation theory (computer science and scientific computing)
Stewart, G · 1990
Earlier work this paper cites.
Concentration of measure and isoperimetric inequalities in product spaces
Talagrand, M · 1995
Earlier work this paper cites.
On coverings of ellipsoids in euclidean spaces
Dumer, I · 2004
Earlier work this paper cites.
Covering an ellipsoid with equal balls
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Cited alongside, same era.
Covering spheres with spheres
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Cited alongside, same era.
Asymptotics of sample eigenstructure for a large dimensional spiked covariance model
Paul, D · 2007
Cited alongside, same era.
A tutorial on spectral clustering
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Cited alongside, same era.
Non-asymptotic theory of random matrices: extreme singular values
Rudelson, M · 2010
Cited alongside, same era.
Introduction to the non-asymptotic analysis of random matrices
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Cited alongside, same era.
The singular values and vectors of low rank perturbations of large rectangular random matrices
Benaych-Georges, F · 2012
Later among the works it cites.
On consistency and sparsity for principal components analysis in high dimensions
Johnstone, I. M · 2012
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Concentration inequalities: A nonasymptotic theory of independence
Boucheron, S · 2013
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Large covariance estimation by thresholding principal orthogonal complements
Fan, J · 2013
Later among the works it cites.
Random perturbation of low rank matrices: Improving classical bounds
O’Rourke, S · 2013
Later among the works it cites.
Probability in high dimension
van Handel, R · 2014
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The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
Benaych-Georges, F · 2011
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Angular synchronization by eigenvectors and semidefinite programming
Singer, A · 2011
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Singular vectors under random perturbation
Vu, V · 2011
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The theory of sound
Rayleigh, J. W. S. B
Cited in the paper.
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Estimation in high dimensions: a geometric perspective
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Fan, J · 2016
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Vershynin, R · 2016
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