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1404.0788
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On the principal components of sample covariance matrices
3 April 2014
Alex Bloemendal
Antti Knowles
H. Yau
J. Yin
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Papers citing
"On the principal components of sample covariance matrices"
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Liberating dimension and spectral norm: A universal approach to spectral properties of sample covariance matrices
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Global and local CLTs for linear spectral statistics of general sample covariance matrices when the dimension is much larger than the sample size with applications
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The Local Ledoit-Peche Law
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Sampling without replacement from a high-dimensional finite population
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Extreme eigenvalues of Log-concave Ensemble
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A CLT for the LSS of large dimensional sample covariance matrices with unbounded dispersions
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Spiked Singular Values and Vectors under Extreme Aspect Ratios
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Detection of Signal in the Spiked Rectangular Models
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Eigenvector distribution in the critical regime of BBP transition
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Limiting laws for extreme eigenvalues of large-dimensional spiked Fisher matrices with a divergent number of spikes
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Edge statistics of large dimensional deformed rectangular matrices
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Statistical inference for principal components of spiked covariance matrices
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Learning Rates as a Function of Batch Size: A Random Matrix Theory Approach to Neural Network Training
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Linear spectral statistics of eigenvectors of anisotropic sample covariance matrices
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The Asymptotic Distribution of Modularity in Weighted Signed Networks
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Sample canonical correlation coefficients of high-dimensional random vectors: local law and Tracy-Widom limit
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Quantitative Universality for the Largest Eigenvalue of Sample Covariance Matrices
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Principal components of spiked covariance matrices in the supercritical regime
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Goodness-of-fit Test for Latent Block Models
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Spiked separable covariance matrices and principal components
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