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In this paper we study principal components analysis in the regime of high dimensionality and high noise.
Fluctuations of the free energy of the spherical Sherrington–Kirkpatrick model with ferromagnetic interaction
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Some rigorous results on the Sherrington–Kirkpatrick spin glass model
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Sum rules for the free energy in the mean field spin glass model
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Statistical physics of spin glasses and information processing: an introduction
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Extended variational principle for the Sherrington-Kirkpatrick spin-glass model
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Broken replica symmetry bounds in the mean field spin glass model
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Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
Baik, J., Arous, G. B., Péché, S., et al. (2005) · 2005
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Eigenvalues of large sample covariance matrices of spiked population models
Baik, J. and Silverstein, J. W. (2006) · 2006
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The Parisi formula
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Finite sample approximation results for principal component analysis: A matrix perturbation approach
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Onatski, A., Moreira, M. J., and Hallin, M. (2014) · 2014
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van Handel, R. (2014) · 2014
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Phase transitions in sparse PCA
Lesieur, T., Krzakala, F., and Zdeborová, L. (2015) · 2015
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Fluctuations of the free energy of the spherical Sherrington–Kirkpatrick model
Baik, J. and Lee, J. O. (2016) · 2016
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