madxia

XIA, Dong
夏冬

(PhD Georgia Institute of Technology)

Phone: (852) 3469 2244
Email: madxia@ust.hk
Office: Room 3477
Home Page

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

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  1. 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

  1. 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

  2. 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

  3. Tensor SVD: Statistical and Computational Limits
    • Author(s): Xia, Dong; Zhang, Anru
    • Source: arXiv, April 2018, Article number 1703.02724
    • Year: 2018

  4. Effective Tensor Sketching via Sparsification
    • Author(s): Xia, Dong; Yuan, Ming
    • Source: arXiv, November 2017, Article number 1710.11298
    • Year: 2017

  5. 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