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We study the problem of high-dimensional Principal Component Analysis (PCA) with missing observations.
Rohe, K., Chatterjee, S. and Yu, B. (2011) Spectral clustering and the high-dimensional stochastic blockmodel. Ann. Statist. , 39
1915
Earlier work this paper cites.
Cho, J., Kim, D. and Rohe, K. (2017) Asymptotic theory for estimating the singular vectors and values of a partially-observed low rank matrix with noise. Statist. Sinica , 27
1948
Earlier work this paper cites.
Anderson, T. W. (1957) Maximum likelihood estimates for a multivariate normal distribution when some observations are missing. J. Amer. Statist. Assoc. , 52
1957
Earlier work this paper cites.
Wold, H. and Lyttkens, E. (1969) Nonlinear iterative partial least squares (NIPALS) estimation procedures. Bull. Int. Stat. Inst. , 43
1969
Earlier work this paper cites.
Dempster, A. P., Laird, N. M. and Rubin, D. B. (1977) Maximum likelihood from incomplete data via the EM algorithm. J. Roy. Statist. Soc., Ser. B , 39
1977
Earlier work this paper cites.
Ford, B. L. (1983) An overview of hot-deck procedures. In W. G. Madow, I. Olkin and D. B. Rubin (Eds.) Incomplete Data in Sample Surveys, Vol. 2: Theory and Bibliographies , 185–207. Academic Press, New York
1983
Earlier work this paper cites.
van der Vaart, A. W. and Wellner, J. A. (1996) Weak Convergence and Empirical Processes . Springer, New York
1996
Earlier work this paper cites.
Kiers H. A. L. (1997) Weighted least squares fitting using ordinary least squares algorithms. Psychometrika , 62
1997
Earlier work this paper cites.
Yu, B. (1997) Assouad, Fano and Le Cam. In Festschrift for Lucien Le Cam: Research Papers in Probability and Statistics , Pollard, D., Torgersen, E. and Yang G. L. (Eds.), 423–435. Springer, New York
1997
Earlier work this paper cites.
Rubin, D. B. (2004) Multiple Imputation for Nonresponse in Surveys . John Wiley & Sons, Hoboken
2004
Earlier work this paper cites.
Massart, P. (2007) Concentration Inequalities and Model Selection , Springer, Berlin
2007
Earlier work this paper cites.
Candès, E. J. and Recht, B. (2009) Exact matrix completion via convex optimization. Found. Comput. Math. , 9
2009
Earlier work this paper cites.
Johnstone, I. M. and Lu, A. Y. (2009) On consistency and sparsity for principal components analysis in high dimensions. J. Amer. Statist. Assoc. , 104
2009
Earlier work this paper cites.
Josse J., Pagès J. and Husson F. (2009) Gestion des donneés manquantes en analyse en composantes principales. J. de la Société Française de Statistique , 150
2009
Earlier work this paper cites.
Candès, E. J. and Plan, Y. (2010) Matrix completion with noise. Proc. IEEE , 98
2010
Earlier work this paper cites.
Keshavan, R. H., Montanari, A. and Oh, S. (2010) Matrix completion from a few entries. IEEE Trans. Inform. Theory , 56
2010
Cited alongside, same era.
Mazumder, R., Hastie, T. and Tibshirani R. (2010) Spectral regularization algorithms for learning large incomplete matrices. J. Mach. Learn. Res. , 11
2010
Cited alongside, same era.
Candès, E. J., Li, X., Ma, Y. and Wright, J. (2011) Robust principal component analysis? J. ACM , 58
2011
Cited alongside, same era.
Koltchinskii, V., Lounici, K. and Tsybakov, A. B. (2011) Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion. Ann. Statist. , 39
2011
Cited alongside, same era.
Josse J. and Husson F. (2012) Handling missing values in exploratory multivariate data analysis methods. J. de la Société Française de Statistique , 153
2012
Cited alongside, same era.
Dray, S. and Josse J. (2015) Principal component analysis with missing values: a comparative survey of methods. Plant Ecol. , 216
2015
Later among the works it cites.
Hastie T., Mazumder R., Lee J. D. and Zadeh R. (2015) Matrix completion and low-rank SVD via fast alternating least squares. J. Mach. Learn. Res. , 16
2015
Later among the works it cites.
Yu, Y., Wang, T. and Samworth, R. J. (2015) A useful variant of the Davis–Kahan theorem for statisticians. Biometrika , 102
2015
Later among the works it cites.
Gao, C., Ma, Z., Zhang, A. Y. and Zhou, H. H. (2016) Achieving optimal misclassification proportion in stochastic block models. J. Mach. Learn. Res. , 18
2016
Later among the works it cites.
Shen, D., Shen, H., Zhu, H. and Marron, J. (2016) The statistics and mathematics of high dimension low sample size asymptotics. Statist. Sinica , 26
2016
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Loh, P.-L. and Wainwright, M. J. (2012) High-dimensional regression with noisy and missing data: provable guarantees with nonconvexity. Ann. Statist. , 40
2012
Cited alongside, same era.
Negahban, S. and Wainwright, M. J. (2012) Restricted strong convexity and weighted matrix completion: optimal bounds with noise. J. Mach. Learn. Res. , 13
2012
Cited alongside, same era.
Tropp, J. A. (2012) User-friendly tail bounds for sums of random matrices. Found. Comput. Math. , 12
2012
Cited alongside, same era.
Vershynin, R. (2012) Introduction to the non-asymptotic analysis of random matrices. In Y. Eldar and G. Kutyniok (Eds.) Compressed Sensing, Theory and Applications . Cambridge University Press, Cambridge. 210–268
2012
Cited alongside, same era.
Boucheron, S., Lugosi, G. and Massart, P. (2013) Concentration Inequalities: A Nonasymptotic Theory of Independence . Oxford University Press, Oxford
2013
Cited alongside, same era.
Large covariance estimation by thresholding principal orthogonal complements. J. Roy. Statist. Soc., Ser. B , 75
2013
Cited alongside, same era.
Lounici, K. (2013) Sparse principal component analysis with missing observations. In C. Houdré et al. (Eds.) High Dimensional Probability VI , 327–356. Birkhäuser, Basel
2013
Cited alongside, same era.
Later among the works it cites.
Belloni, A., Rosenbaum, M. and Tsybakov, A. B. (2017) Linear and conic programming estimators in high dimensional errors-in-variables models. J. Roy. Statist. Soc., Ser. B , 79
2017
Later among the works it cites.
Wang, W. and Fan, J. (2017) Asymptotics of empirical eigen-structure for ultra-high dimensional spiked covariance model. Ann. Statist. , 45
2017
Later among the works it cites.
Cape, J., Tang, M. and Priebe, C. E. (2018) The two-to-infinity norm and singular subspace geometry with applications to high-dimensional statistics. Ann. Statist. , to appear
2018
Later among the works it cites.
2018
Later among the works it cites.
2018
Later among the works it cites.
Loh, P.-L. and Tan, X. L. (2018) High-dimensional robust precision matrix estimation: Cellwise corruption under ϵ \epsilon -contamination. Electron. J. Statist. , 12
2018
Later among the works it cites.
2018
Later among the works it cites.
Wainwright, M. J. (2019) High-Dimensional Statistics: A Non-Asymptotic Viewpoint . Cambridge University Press, Cambridge
2019
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Zhu, Z., Wang, T. and Samworth, R. J. (2019) primePCA
2019
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