Fetching the paper…
Reading the bibliography…
This paper is on the normal approximation of singular subspaces when the noise matrix has i.i.d.
The accuracy of the gaussian approximation to the sum of independent variates
Berry, A. C. (1941) · 1941
Earlier work this paper cites.
On the liapunoff limit of error in the theory of probability
Esseen, C.-G. (1942) · 1942
Earlier work this paper cites.
The rotation of eigenvectors by a perturbation. iii
Davis, C. and Kahan, W. M. (1970) · 1970
Earlier work this paper cites.
Perturbation bounds in connection with singular value decomposition
Wedin, P.-Å. (1972) · 1972
Earlier work this paper cites.
A singular value thresholding algorithm for matrix completion
Cai, J.-F., Candès, E. J., and Shen, Z. (2010) · 1982
Earlier work this paper cites.
Dimension reduction in text classification with support vector machines
Kim, H., Howland, P., and Park, H. (2005) · 2005
Earlier work this paper cites.
Phase retrieval via wirtinger flow: Theory and algorithms
Candes, E. J., Li, X., and Soltanolkotabi, M. (2015) · 2007
Earlier work this paper cites.
On directional regression for dimension reduction
Li, B. and Wang, S. (2007) · 2007
Earlier work this paper cites.
Matrix completion from a few entries
Keshavan, R. H., Montanari, A., and Oh, S. (2010) · 2010
Earlier work this paper cites.
Introduction to the non-asymptotic analysis of random matrices
Vershynin, R. (2010) · 2010
Earlier work this paper cites.
On the rate of convergence to the marchenko–pastur distribution
Götze, F. and Tikhomirov, A. (2011) · 2011
Earlier work this paper cites.
The singular values and vectors of low rank perturbations of large rectangular random matrices
Benaych-Georges, F. and Nadakuditi, R. R. (2012) · 2012
Earlier work this paper cites.
Matrix computations
Golub, G. H. and Van Loan, C. F. (2012) · 2012
Earlier work this paper cites.
Topics in random matrix theory
Tao, T. (2012) · 2012
Cited alongside, same era.
Asymptotics and concentration bounds for bilinear forms of spectral projectors of sample covariance
Koltchinskii, V. and Lounici, K. (2016) · 2013
Cited alongside, same era.
Reconstruction of a low-rank matrix in the presence of gaussian noise
Shabalin, A. A. and Nobel, A. B. (2013) · 2013
Cited alongside, same era.
Minimax risk of matrix denoising by singular value thresholding
Donoho, D. and Gavish, M. (2014) · 2014
Cited alongside, same era.
A useful variant of the davis–kahan theorem for statisticians
Yu, Y., Wang, T., and Samworth, R. J. (2014) · 2014
Cited alongside, same era.
On the principal components of sample covariance matrices
Bloemendal, A., Knowles, A., Yau, H.-T., and Yin, J. (2016) · 2016
Cited alongside, same era.
Bootstrap confidence sets for spectral projectors of sample covariance
Naumov, A., Spokoiny, V., and Ulyanov, V. (2017) · 2017
Later among the works it cites.
Statistically optimal and computationally efficient low rank tensor completion from noisy entries
Xia, D., Yuan, M., and Zhang, C.-H. (2017) · 2017
Later among the works it cites.
Singular vector and singular subspace distribution for the matrix denoising model
Bao, Z., Ding, X., and Wang, K. (2018) · 2018
Later among the works it cites.
Rate-optimal perturbation bounds for singular subspaces with applications to high-dimensional statistics
Cai, T. T. and Zhang, A. (2018) · 2018
Later among the works it cites.
Asymmetry helps: Eigenvalue and eigenvector analyses of asymmetrically perturbed low-rank matrices
Chen, Y., Cheng, C., and Fan, J. (2018) · 2018
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Perturbation of linear forms of singular vectors under gaussian noise
Koltchinskii, V. and Xia, D. (2016) · 2016
Cited alongside, same era.
Entrywise eigenvector analysis of random matrices with low expected rank
Abbe, E., Fan, J., Wang, K., and Zhong, Y. (2017) · 2017
Cited alongside, same era.
High dimensional deformed rectangular matrices with applications in matrix denoising
Ding, X. (2017) · 2017
Cited alongside, same era.
Normal approximation and concentration of spectral projectors of sample covariance
Koltchinskii, V. and Lounici, K. (2017) · 2017
Cited alongside, same era.
Ma, C., Wang, K., Chi, Y., and Chen, Y. (2017) · 2017
Cited alongside, same era.
Free probability and random matrices
Mingo, J. A. and Speicher, R. (2017) · 2017
Cited alongside, same era.
Later among the works it cites.
Two-sample test of community memberships of weighted stochastic block models
Li, Y. and Li, H. (2018) · 2018
Later among the works it cites.
Limit theorems for eigenvectors of the normalized laplacian for random graphs
Tang, M., Priebe, C. E., et al. (2018) · 2018
Later among the works it cites.
On polynomial time methods for exact low rank tensor completion
Xia, D. and Yuan, M. (2018+) · 2018
Later among the works it cites.
Tensor svd: Statistical and computational limits
Zhang, A. and Xia, D. (2018) · 2018
Later among the works it cites.
Confidence interval of singular subspaces for high-dimensional and low-rank matrix regression
Xia, D. (2019) · 2019
Closest in time.
The sup-norm perturbation of hosvd and low rank tensor denoising
Xia, D. and Zhou, F. (2019) · 2019
Closest in time.
The power of convex relaxation: Near-optimal matrix completion
Candès, E. J. and Tao, T. (2010) · 2080
Closest in time.