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Dong Xia
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Tensor SVD: Statistical and computational limits
A Zhang, D Xia
IEEE Transactions on Information Theory 64 (11), 7311-7338, 2018
2042018
On Polynomial Time Methods for Exact Low Rank Tensor Completion
D Xia, M Yuan
Foundations of Computational Mathematics, 1-49, 2019
832019
Community detection for hypergraph networks via regularized tensor power iteration
ZT Ke, F Shi, D Xia
arXiv preprint arXiv:1909.06503, 2019
772019
Statistically optimal and computationally efficient low rank tensor completion from noisy entries
D Xia, M Yuan, CH Zhang
The Annals of Statistics 49 (1), 76-99, 2021
70*2021
Community detection on mixture multi-layer networks via regularized tensor decomposition
BY Jing, T Li, Z Lyu, D Xia
The Annals of Statistics 49 (6), 3181-3205, 2021
622021
Statistical inferences of linear forms for noisy matrix completion
D Xia, M Yuan
Journal of the Royal Statistical Society: Series B (Statistical Methodology …, 2021
532021
Perturbation of linear forms of singular vectors under Gaussian noise
V Koltchinskii, D Xia
High Dimensional Probability VII: The Cargèse Volume, 397-423, 2016
532016
Optimal estimation of low rank density matrices.
V Koltchinskii, D Xia
J. Mach. Learn. Res. 16 (53), 1757-1792, 2015
512015
Normal Approximation and Confidence Region of Singular Subspaces
D Xia
Electronic Journal of Statistics 15 (2), 3798-3851, 2021
41*2021
Generalized low-rank plus sparse tensor estimation by fast Riemannian optimization
JF Cai, J Li, D Xia
Journal of the American Statistical Association 118 (544), 2588-2604, 2023
342023
The Sup-norm Perturbation of HOSVD and Low Rank Tensor Denoising
D Xia, F Zhou
J. Mach. Learn. Res. 20, 1-42, 2019
322019
Edgeworth expansions for network moments
Y Zhang, D Xia
The Annals of Statistics 50 (2), 726-753, 2022
262022
Confidence region of singular subspaces for high-dimensional and low-rank matrix regression
D Xia
IEEE Transactions on Information Theory 65 (11), 1-23, 2019
26*2019
Semiparametric tensor factor analysis by iteratively projected SVD
EY Chen, D Xia, C Cai, J Fan
arXiv preprint arXiv:2007.02404, 2020
232020
Inference for low-rank tensors—no need to debias
D Xia, AR Zhang, Y Zhou
The Annals of Statistics 50 (2), 1220-1245, 2022
222022
Estimation of low rank density matrices: bounds in schatten norms and other distances
D Xia, V Koltchinskii
Electronic Journal of Statistics 10 (2), 2717-2745, 2016
192016
Latent space model for higher-order networks and generalized tensor decomposition
Z Lyu, D Xia, Y Zhang
Journal of Computational and Graphical Statistics 32 (4), 1320-1336, 2023
152023
Provable tensor-train format tensor completion by riemannian optimization
JF Cai, J Li, D Xia
Journal of Machine Learning Research 23 (123), 1-77, 2022
152022
Effective tensor sketching via sparsification
D Xia, M Yuan
IEEE Transactions on Information Theory 67 (2), 1356-1369, 2021
8*2021
Optimal estimation and computational limit of low-rank gaussian mixtures
Z Lyu, D Xia
Annals of Statistics 51 (2), 646-667, 2023
72023
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