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XIA, Dong
夏冬
(PhD Georgia Institute of Technology)
Phone: (852) 3469 2244Email: madxia@ust.hk
Office: Room 3477
Home Page
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Assistant Professor
Research Interests
Statistical machine learning, high dimensional statistics, optimization and computational algorithms.Teaching
- MATH3424 Regression Analysis
- MATH6914N Reading Course: Concentration Inequalities and Applications
Selected Publications
Article
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Generalized Low-rank plus Sparse Tensor Estimation by Fast Riemannian Optimization
- Author(s): Cai, Jian-Feng; Li, Jingyang; Xia, Dong
- Source: Journal of the American Statistical Association, April 2022
- Year: 2022
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Edgeworth expansions for network moments
- Author(s): Zhang, Yuan; Xia, Dong
- Source: Annals of statistics, Annals of Statistics, v. 50, (2), April 2022, p. 726-753
- Year: 2022
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Inference for low-rank tensors—no need to debias
- Author(s): Xia, Dong; Zhang, Anru R.; Zhou, Yuchen
- Source: Annals of Statistics, v. 50, (2), April 2022, p. 1220-1245
- Year: 2022
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Provable Tensor-Train Format Tensor Completion by Riemannian Optimization
- Author(s): Cai, Jianfeng; Li, Jingyang; Xia, Dong
- Source: Journal of Machine Learning Research, v. 23, 2022, p. 1-77
- Year: 2022
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Community detection on mixture multi-layer networks via regularised tensor decomposition
- Author(s): Jing, Bing-Yi; Li, Ting; Lyu, Zhongyuan; Xia, Dong
- Source: Annals of Statistics, v. 49, (6), December 2021, p. 3181-3205
- Year: 2021
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Normal approximation and confidence region of singular subspaces
- Author(s): Xia, Dong
- Source: Electronic Journal of Statistics, v. 15, (2), 2021, p. 3798-3851
- Year: 2021
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Statistically Optimal and Computationally Efficient Low Rank Tensor Completion from Noisy Entries
- Author(s): Xia, Dong; Yuan, Ming; Zhang, Cun-hui
- Source: Annals of Statistics, v. 49, (1), 29 January 2021, p. 76-99
- Year: 2021
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Effective Tensor Sketching via Sparsification
- Author(s): Xia, Dong ; Yuan, Ming
- Source: IEEE Transactions on Information Theory, v. 67, (2), January 2021, p. 1356-1369
- Year: 2021
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Statistical Inferences of Linear Forms for Noisy Matrix Completion
- Author(s): Xia, Dong ; Yuan, Ming
- Source: Journal of the Royal Statistical Society. Series B: Statistical Methodology, 23 November 2020
- Year: 2020
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Confidence Region of Singular Subspaces for Low-rank Matrix Regression
- Author(s): Xia, Dong
- Source: IEEE Transactions on Information Theory, 3 July 2019
- Year: 2019
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Non-asymptotic bounds for percentiles of independent non-identical random variables
- Author(s): Xia, Dong
- Source: Statistics and Probability Letters, v. 152, September 2019, p. 111-120
- Year: 2019
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The Sup-norm Perturbation of HOSVD and Low Rank Tensor Denoising
- Author(s): Xia, Dong ; Zhou, Fan
- Source: Journal of Machine Learning Research, v. 20, (61), 2019, p. 1-42
- Year: 2019
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On Polynomial Time Methods for Exact Low-Rank Tensor Completion
- Author(s): Xia, Dong ; Yuan, Ming
- Source: Foundations of Computational Mathematics, 7 January 2019
- Year: 2019
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Tensor SVD: Statistical and Computational Limits.
- Author(s): Zhang, Anru; Xia, Dong
- Source: IEEE Transactions on Information Theory, v. 64, (11), May 2018, article number 8368145, p. 7311-7338
- Year: 2018
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Estimation of Low Rank Density Matrices by Pauli Measurements
- Author(s): Xia, Dong
- Source: Electronic Journal of Statistics. , v. 11, (1), p. 50-77
- Year: 2017
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Variable Selection of Linear Programming Discriminant Estimator
- Author(s): Xia, Dong
- Source: Commnication in Statistics - Theory and Methods. , v. 46, (7), April 2017, p. 3321-3341
- Year: 2017
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Estimation of Low Rank Density Matrices: Bounds in Schatten Norms and Other Distances
- Author(s): Xia, Dong; Koltchinskii, Vladimir
- Source: Electronic Journal of Statistics. , v. 10, (2), 2016, p. 2717-2745
- Year: 2016
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Optimal Estimation of Low Rank Density Matrices
- Author(s): Koltchinskii, Vladimir; Xia, Dong
- Source: Journal of Machine Learning Research. , v. 16, September 2015, p. 1757-1792
- Year: 2015
Conference paper
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Perturbation of Linear Forms of Singular Vectors Under Gaussian Noise
- Author(s): Koltchinskii, Vladimir; Xia, Dong
- Source: High Dimensional Probability VII: The Cargèse Volume, v. 71, 2016, p. 397-423, Book series: Progress in Probability
- Year: 2016
Preprint
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Statistically Optimal and Computationally Efficient Low Rank Tensor Completion from Noisy Entries
- Author(s): Cun-Hui Zhang; Ming Yuan; Xia, Dong
- Source: arXiv, March 2018, Article number 1711.04934
- Year: 2018
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The ℓ∞ Perturbation of HOSVD and Low Rank Tensor Denoising
- Author(s): Xia, Dong; Zhou, Fan
- Source: arXiv, May 2018, Article number 1707.01207
- Year: 2018
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Tensor SVD: Statistical and Computational Limits
- Author(s): Xia, Dong; Zhang, Anru
- Source: arXiv, April 2018, Article number 1703.02724
- Year: 2018
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Effective Tensor Sketching via Sparsification
- Author(s): Xia, Dong; Yuan, Ming
- Source: arXiv, November 2017, Article number 1710.11298
- Year: 2017
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On Polynomial Time Methods for Exact Low Rank Tensor Completion
- Author(s): Xia, Dong; Yuan, Ming
- Source: arXiv, February 2017, Article number 1702.06980
- Year: 2017