Department of Mathematics, HKUST  

  XIA, Dong   夏冬

  PhD Georgia Institute of Technology

Office: Room 3477  

Telephone: 3469 2244  

Email: madxia@ust.hk  

URL:
https://www.math.hkust.edu.hk/~madxia   
  Assistant Professor

Teaching

  • MATH3424  Regression Analysis
  • MATH4424  Multivariate Analysis

Research Interests

  • Statistical machine learning, high dimensional statistics, optimization and computational algorithms.

       Selected Publications

Full Publication List [HKUST Scholarly Publications]  

Article   

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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