Dong XIA
夏冬
PhD in Computational Science and Engineering/Mathematics
The Georgia Institute of Technology, 2016

Assistant Professor
Department of Mathematics



(852) 3469 2244
madxia@ust.hk
Room 3477
Personal Web

---

Google Scholar
btelFt8AAAAJ

ORCID
0000-0003-0834-3019

Scopus ID
57188680620




Research Interest Publications Projects Teaching Assignment RPG Supervision Space used




Research Interest

---

High-dimensional statistics
Statistical machine learning
Optimization
Random matrices



Publications

---

All Years 15 2022 0 2021 4 2020 1 2019 4 2018 1 2017 2 2016 3

---

Expand All Collapse All


2021 4

Community detection on mixture multi-layer networks via regularised tensor decomposition
Annals of Statistics, v. 49, (6), December 2021, p. 3181-3205
Jing, Bing-Yi; Li, Ting; Lyu, Zhongyuan; Xia, Dong Article
Effective Tensor Sketching via Sparsification
IEEE Transactions on Information Theory, v. 67, (2), February 2021, p. 1356-1369
Xia, Dong; Yuan, Ming Article
Normal approximation and confidence region of singular subspaces
Electronic Journal of Statistics, v. 15, (2), 2021, p. 3798-3851
Xia, Dong Article
Statistically Optimal and Computationally Efficient Low Rank Tensor Completion from Noisy Entries
Annals of Statistics, v. 49, (1), February 2021, p. 76-99
Xia, Dong; Yuan, Ming; Zhang, Cun-hui Article

2020 1

Statistical Inferences of Linear Forms for Noisy Matrix Completion
Journal of the Royal Statistical Society. Series B: Statistical Methodology, v. 83, (1), February 2021, p. 58-77
Xia, Dong; Yuan, Ming Article

2019 4

Confidence Region of Singular Subspaces for Low-rank Matrix Regression
IEEE Transactions on Information Theory, v. 65, (11), November 2019, article number 8754764, p. 7437-7459
Xia, Dong Article
Non-asymptotic Bounds for Percentiles of Independent Non-identical Random Variables
Statistics and Probability Letters, v. 152, September 2019, p. 111-120
Xia, Dong Article
On Polynomial Time Methods for Exact Low-Rank Tensor Completion
Foundations of Computational Mathematics, v. 19, (6), December 2019, p. 1265-1313
Xia, Dong; Yuan, Ming Article
The Sup-norm Perturbation of HOSVD and Low Rank Tensor Denoising
Journal of Machine Learning Research, v. 20, 2019, article number 61, p. 1-42
Xia, Dong; Zhou, Fan Article

2018 1

Tensor SVD: Statistical and Computational Limits.
IEEE Transactions on Information Theory, v. 64, (11), May 2018, article number 8368145, p. 7311-7338
Zhang, Anru; Xia, Dong Article

2017 2

Estimation of Low Rank Density Matrices by Pauli Measurements
Electronic Journal of Statistics, v. 11, (1), p. 50-77
Xia, Dong Article
Variable Selection of Linear Programming Discriminant Estimator
Commnication in Statistics - Theory and Methods, v. 46, (7), April 2017, p. 3321-3341
Xia, Dong Article

2016 2

Estimation of Low Rank Density Matrices: Bounds in Schatten Norms and Other Distances
Electronic Journal of Statistics, v. 10, (2), 2016, p. 2717-2745
Xia, Dong; Koltchinskii, Vladimir Article
Perturbation of Linear Forms of Singular Vectors Under Gaussian Noise
High Dimensional Probability VII: The Cargèse Volume, v. 71, 2016, p. 397-423, Book series: Progress in Probability
Koltchinskii, Vladimir; Xia, Dong Conference paper

2015 1

Optimal Estimation of Low Rank Density Matrices
Journal of Machine Learning Research, v. 16, September 2015, p. 1757-1792
Koltchinskii, Vladimir; Xia, Dong Article


Expand All Collapse All


Article 4

Community detection on mixture multi-layer networks via regularised tensor decomposition
Annals of Statistics, v. 49, (6), December 2021, p. 3181-3205
Jing, Bing-Yi; Li, Ting; Lyu, Zhongyuan; Xia, Dong
Effective Tensor Sketching via Sparsification
IEEE Transactions on Information Theory, v. 67, (2), February 2021, p. 1356-1369
Xia, Dong; Yuan, Ming
Normal approximation and confidence region of singular subspaces
Electronic Journal of Statistics, v. 15, (2), 2021, p. 3798-3851
Xia, Dong
Statistically Optimal and Computationally Efficient Low Rank Tensor Completion from Noisy Entries
Annals of Statistics, v. 49, (1), February 2021, p. 76-99
Xia, Dong; Yuan, Ming; Zhang, Cun-hui


Expand All Collapse All


Article 1

Statistical Inferences of Linear Forms for Noisy Matrix Completion
Journal of the Royal Statistical Society. Series B: Statistical Methodology, v. 83, (1), February 2021, p. 58-77
Xia, Dong; Yuan, Ming


Expand All Collapse All


Article 4

Confidence Region of Singular Subspaces for Low-rank Matrix Regression
IEEE Transactions on Information Theory, v. 65, (11), November 2019, article number 8754764, p. 7437-7459
Xia, Dong
Non-asymptotic Bounds for Percentiles of Independent Non-identical Random Variables
Statistics and Probability Letters, v. 152, September 2019, p. 111-120
Xia, Dong
On Polynomial Time Methods for Exact Low-Rank Tensor Completion
Foundations of Computational Mathematics, v. 19, (6), December 2019, p. 1265-1313
Xia, Dong; Yuan, Ming
The Sup-norm Perturbation of HOSVD and Low Rank Tensor Denoising
Journal of Machine Learning Research, v. 20, 2019, article number 61, p. 1-42
Xia, Dong; Zhou, Fan


Expand All Collapse All


Article 1

Tensor SVD: Statistical and Computational Limits.
IEEE Transactions on Information Theory, v. 64, (11), May 2018, article number 8368145, p. 7311-7338
Zhang, Anru; Xia, Dong


Expand All Collapse All


Article 2

Estimation of Low Rank Density Matrices by Pauli Measurements
Electronic Journal of Statistics, v. 11, (1), p. 50-77
Xia, Dong
Variable Selection of Linear Programming Discriminant Estimator
Commnication in Statistics - Theory and Methods, v. 46, (7), April 2017, p. 3321-3341
Xia, Dong


Expand All Collapse All


Article 1

Estimation of Low Rank Density Matrices: Bounds in Schatten Norms and Other Distances
Electronic Journal of Statistics, v. 10, (2), 2016, p. 2717-2745
Xia, Dong; Koltchinskii, Vladimir

Conference paper 1

Perturbation of Linear Forms of Singular Vectors Under Gaussian Noise
High Dimensional Probability VII: The Cargèse Volume, v. 71, 2016, p. 397-423, Book series: Progress in Probability
Koltchinskii, Vladimir; Xia, Dong


Expand All Collapse All


Article 1

Optimal Estimation of Low Rank Density Matrices
Journal of Machine Learning Research, v. 16, September 2015, p. 1757-1792
Koltchinskii, Vladimir; Xia, Dong


Expand All Collapse All


2016 2

Estimation of Low Rank Density Matrices: Bounds in Schatten Norms and Other Distances
Electronic Journal of Statistics, v. 10, (2), 2016, p. 2717-2745
Xia, Dong; Koltchinskii, Vladimir Article
Perturbation of Linear Forms of Singular Vectors Under Gaussian Noise
High Dimensional Probability VII: The Cargèse Volume, v. 71, 2016, p. 397-423, Book series: Progress in Probability
Koltchinskii, Vladimir; Xia, Dong Conference paper

2015 1

Optimal Estimation of Low Rank Density Matrices
Journal of Machine Learning Research, v. 16, September 2015, p. 1757-1792
Koltchinskii, Vladimir; Xia, Dong Article


No Publications






Teaching Assignment

---

2021-22 Winter 0 2021-22 Fall 3 2020-21 Summer 0 2020-21 Spring 4 2020-21 Winter 0 2020-21 Fall 1

---

MATH3424 Regression Analysis
MATH4424 Multivariate Analysis
MATH6913N Reading Course: Statistics and Machine Learning


MATH2421 Probability
MATH6913F Reading Course: Tensor Data Analysis
MSDM5054 Statistical Machine Learning
MSDM6980 Computational Modeling and Simulation Project


MATH2421 Probability


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments






Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 30 January 2022)

---

Current RPGs

---

---

Doctor of Philosophy MA, Wanteng
Mathematics( 2021 - )

SHEN, Yinan
Mathematics( 2021 - )

LYU, Zhongyuan (co-supervision)
Mathematics( 2019 - )

---

Master of Philosophy ZONG, Bohang
Mathematics( 2021 - )









ProjectsFrom January 2020 to December 2022

---

All Projects 5 Leading Projects 4 Participating Projects 1

---

Statistical Methods, Theory, and Applications for Robust Low-rank Tensor Estimation


关於低秩张量的稳健统计分析方法，理论及应用 Leading


RGC - General Research Fund


Project Team (HKUST)
XIA Dong (Lead)


2022 -




Statistical theory and applications of AM algorithms for noisy tensor decomposition


基于交替最小化算法的张量数据分解的统计理论和应用 Leading


RGC - General Research Fund


Project Team (HKUST)
XIA Dong (Lead)


2021 -




Development of Statistical and Machine Learning Methods for Large Scale Genomic Data Analysis


人类基因组数据的统计与机器学习方法研发 Participating


Innovation and Technology Fund


Project Team (HKUST)
YANG Can (Lead)
BAO Zhigang
CAI Jianfeng
WANG Yang
XIA Dong
YAO Yuan
ZHANG Hai


2020 -




Multi-view clustering and subspace learning Leading


Adobe Systems Incorporated


Project Team (HKUST)
XIA Dong (Lead)


2019 -




Confidence regions for high-dimensional and low-rank statistical models


大维低秩矩阵模型的统计检验及置信区间 Leading


RGC - Early Career Scheme


Project Team (HKUST)
XIA Dong (Lead)


2019 -