PCA consistency for the power spiked model in high-dimensional settings
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[1] Makoto Aoshima,et al. PCA Consistency for Non-Gaussian Data in High Dimension, Low Sample Size Context , 2009 .
[2] Makoto Aoshima,et al. Effective PCA for high-dimension, low-sample-size data with noise reduction via geometric representations , 2012, J. Multivar. Anal..
[3] J. W. Silverstein,et al. Eigenvalues of large sample covariance matrices of spiked population models , 2004, math/0408165.
[4] U. Alon,et al. Broad patterns of gene expression revealed by clustering analysis of tumor and normal colon tissues probed by oligonucleotide arrays. , 1999, Proceedings of the National Academy of Sciences of the United States of America.
[5] I. Johnstone,et al. On Consistency and Sparsity for Principal Components Analysis in High Dimensions , 2009, Journal of the American Statistical Association.
[6] I. Johnstone. On the distribution of the largest eigenvalue in principal components analysis , 2001 .
[7] Zhidong Bai,et al. ESTIMATION OF SPIKED EIGENVALUES IN SPIKED MODELS , 2012 .
[8] P. Bickel,et al. Regularized estimation of large covariance matrices , 2008, 0803.1909.
[9] Makoto Aoshima,et al. Effective PCA for high-dimension, low-sample-size data with singular value decomposition of cross data matrix , 2010, J. Multivar. Anal..
[10] J. S. Marron,et al. Geometric representation of high dimension, low sample size data , 2005 .
[11] F. Wright,et al. CONVERGENCE AND PREDICTION OF PRINCIPAL COMPONENT SCORES IN HIGH-DIMENSIONAL SETTINGS. , 2012, Annals of statistics.
[12] D. Paul. ASYMPTOTICS OF SAMPLE EIGENSTRUCTURE FOR A LARGE DIMENSIONAL SPIKED COVARIANCE MODEL , 2007 .
[13] J. Marron,et al. The high-dimension, low-sample-size geometric representation holds under mild conditions , 2007 .
[14] J. S. Marron,et al. Boundary behavior in High Dimension, Low Sample Size asymptotics of PCA , 2012, J. Multivar. Anal..
[15] J. Marron,et al. PCA CONSISTENCY IN HIGH DIMENSION, LOW SAMPLE SIZE CONTEXT , 2009, 0911.3827.
[16] Makoto Aoshima,et al. Two-Stage Procedures for High-Dimensional Data , 2011 .
[17] Song-xi Chen,et al. A two-sample test for high-dimensional data with applications to gene-set testing , 2010, 1002.4547.
[18] Z. Bai,et al. EFFECT OF HIGH DIMENSION: BY AN EXAMPLE OF A TWO SAMPLE PROBLEM , 1999 .
[19] S. Péché,et al. Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices , 2004, math/0403022.
[20] E. Lander,et al. Gene expression correlates of clinical prostate cancer behavior. , 2002, Cancer cell.
[21] J. Mesirov,et al. Molecular classification of cancer: class discovery and class prediction by gene expression monitoring. , 1999, Science.