Faculty Profiles - WANG Ke | The Hong Kong University of Science and Technology

Ke WANG
王可

PhD in Mathematics
Rutgers, The State University of New Jersey, 2013

Assistant Professor
Department of Mathematics

(852) 3469 2016
kewang@ust.hk
Room 3434
Personal Web

Google Scholar

Ht2KOzEAAAAJ

ORCID

0000-0001-8128-3441

Scopus ID

55501617200

Research Interest Publications Projects Teaching Assignment RPG Supervision Space used

Research Interest

Probability
Discrete mathematics and combinatorics
Probabilistic combinatorics
Random matrices
Random structures

Publications

All Years 18 2025 0 2024 1 2023 3 2022 1 2021 3 2020 0 2019 10

2024 1

Matrices with Gaussian Noise: Optimal Estimates for Singular Subspace Perturbation

IEEE Transactions on Information Theory, v. 70, (3), March 2024, article number 10312781, p. 1978-2002
O'Rourke, Sean; Vu, Van; Wang, Ke
Article

2023 3

Asymptotic Properties of Random Restricted Partitions

Mathematics, v. 11, (2), January 2023, article number 417
Jiang, Tiefeng; Wang, Ke
Article

Limiting empirical spectral distribution for the non-backtracking matrix of an Erdős-Rényi random graph

Combinatorics, Probability and Computing, v. 32, (6), November 2023, p. 956-973
Wang, Ke; Wood, Philip Matchett
Article

Optimal Subspace Perturbation Bounds under Gaussian Noise

IEEE International Symposium on Information Theory - Proceedings, v. 2023-June, June 2023, article number 10206931, p. 2601-2606
O'Rourke, Sean; Vu, Van; Wang, Ke
Conference paper

2022 1

Statistical inference for principal components of spiked covariance matrices

The Annals of Statistics, v. 50, (2), April 2022, p. 1144-1169
Bao, Zhigang; Ding, Xiucai; Wang, Jingming; Wang, Ke
Article

2021 3

Enhanced Expressive Power and Fast Training of Neural Networks by Random Projections

CSIAM Transactions on Applied Mathematics, v. 2, (3), August 2021, p. 532-550
Cai, Jianfeng; Li, Dong; Sun, Jiaze; Wang, Ke
Article

Singular vector and singular subspace distribution for the matrix denoising model

Annals of Statistics, v. 49, (1), February 2021, p. 370-392
Bao, Zhigang; Ding, Xiucai; Wang, Ke
Article

Statistical Properties of Eigenvalues of Laplace–Beltrami Operators

Journal of Theoretical Probability, January 2021
Jiang, Tiefeng; Wang, Ke
Article

2019 4

A Generalized Hardy-ramanujan Formula for the Number of Restricted Integer Partitions

Journal of Number Theory, v. 201, August 2019, p. 322-353
Jiang, Tiefeng; Wang, Ke
Article

New Methods for Handling Singular Sample Covariance Matrices

IEEE Transactions on Information Theory, v. 65, (2), February 2019, p. 770-786
Tucci, Gabriel H.; Wang, Ke
Article

On A Class of Nonlocal SIR Models

Journal of Mathematical Biology, v. 78, (6), May 2019, p. 1581-1604
Guan, Li; Li, Dong; Wang, Ke; Zhao, Kun
Article

Symmetric radial decreasing rearrangement can increase the fractional Gagliardo norm in domains

Communications in Contemporary Mathematics, v. 21, (7), November 2019, article number 1850059
Li, Dong; Wang, Ke
Article

2018 1

Random Perturbation of Low Rank Matrices: Improving Classical Bounds

Linear Algebra and its Applications, v. 540, March 2018, p. 26-59
O'Rourke, Sean; Vu, Van; Wang, Ke
Article

2016 1

Eigenvectors of Random Matrices: A Survey

Journal of Combinatorial Theory. Series A, v. 144, November 2016, p. 361-442
O'Rourke, Sean; Vu, Van; Wang, Ke
Article

2015 1

Random Weighted Projections, Random Quadratic Forms and Random Eigenvectors

Random Structures and Algorithms, v. 47, (4), December 2015, p. 792-821
Vu, Van; Wang, Ke
Article

2013 1

Sparse Random Graphs: Eigenvalues and Eigenvectors

Random Structures and Algorithms, v. 42, (1), January 2013, p. 110-134
Tran, Linh V.; Vu, Van; Wang, Ke
Article

2012 2

Random Covariance Matrices: Universality of Local Statistics of Eigenvalues Up to the Edge

Random Matrices: Theory and Application, v. 1, (1), January 2012, article number 1150005
Wang, Ke
Article

An Innovative Approach for Analysing Rank Deficient Covariance Matrices

IEEE International Symposium on Information Theory - Proceedings, 2012, p. 2596-2600, Article number 6283987
Tucci, Gabriel H.; Wang, Ke
Conference paper

Article 1

Matrices with Gaussian Noise: Optimal Estimates for Singular Subspace Perturbation

IEEE Transactions on Information Theory, v. 70, (3), March 2024, article number 10312781, p. 1978-2002
O'Rourke, Sean; Vu, Van; Wang, Ke

Article 2

Asymptotic Properties of Random Restricted Partitions

Mathematics, v. 11, (2), January 2023, article number 417
Jiang, Tiefeng; Wang, Ke

Limiting empirical spectral distribution for the non-backtracking matrix of an Erdős-Rényi random graph

Combinatorics, Probability and Computing, v. 32, (6), November 2023, p. 956-973
Wang, Ke; Wood, Philip Matchett

Conference paper 1

Optimal Subspace Perturbation Bounds under Gaussian Noise

IEEE International Symposium on Information Theory - Proceedings, v. 2023-June, June 2023, article number 10206931, p. 2601-2606
O'Rourke, Sean; Vu, Van; Wang, Ke

Article 1

Statistical inference for principal components of spiked covariance matrices

The Annals of Statistics, v. 50, (2), April 2022, p. 1144-1169
Bao, Zhigang; Ding, Xiucai; Wang, Jingming; Wang, Ke

Article 3

Enhanced Expressive Power and Fast Training of Neural Networks by Random Projections

CSIAM Transactions on Applied Mathematics, v. 2, (3), August 2021, p. 532-550
Cai, Jianfeng; Li, Dong; Sun, Jiaze; Wang, Ke

Singular vector and singular subspace distribution for the matrix denoising model

Annals of Statistics, v. 49, (1), February 2021, p. 370-392
Bao, Zhigang; Ding, Xiucai; Wang, Ke

Statistical Properties of Eigenvalues of Laplace–Beltrami Operators

Journal of Theoretical Probability, January 2021
Jiang, Tiefeng; Wang, Ke

Article 4

A Generalized Hardy-ramanujan Formula for the Number of Restricted Integer Partitions

Journal of Number Theory, v. 201, August 2019, p. 322-353
Jiang, Tiefeng; Wang, Ke

New Methods for Handling Singular Sample Covariance Matrices

IEEE Transactions on Information Theory, v. 65, (2), February 2019, p. 770-786
Tucci, Gabriel H.; Wang, Ke

On A Class of Nonlocal SIR Models

Journal of Mathematical Biology, v. 78, (6), May 2019, p. 1581-1604
Guan, Li; Li, Dong; Wang, Ke; Zhao, Kun

Symmetric radial decreasing rearrangement can increase the fractional Gagliardo norm in domains

Communications in Contemporary Mathematics, v. 21, (7), November 2019, article number 1850059
Li, Dong; Wang, Ke

Article 1

Random Perturbation of Low Rank Matrices: Improving Classical Bounds

Linear Algebra and its Applications, v. 540, March 2018, p. 26-59
O'Rourke, Sean; Vu, Van; Wang, Ke

Article 1

Eigenvectors of Random Matrices: A Survey

Journal of Combinatorial Theory. Series A, v. 144, November 2016, p. 361-442
O'Rourke, Sean; Vu, Van; Wang, Ke

Article 1

Random Weighted Projections, Random Quadratic Forms and Random Eigenvectors

Random Structures and Algorithms, v. 47, (4), December 2015, p. 792-821
Vu, Van; Wang, Ke

Article 1

Sparse Random Graphs: Eigenvalues and Eigenvectors

Random Structures and Algorithms, v. 42, (1), January 2013, p. 110-134
Tran, Linh V.; Vu, Van; Wang, Ke

Article 1

Random Covariance Matrices: Universality of Local Statistics of Eigenvalues Up to the Edge

Random Matrices: Theory and Application, v. 1, (1), January 2012, article number 1150005
Wang, Ke

Conference paper 1

An Innovative Approach for Analysing Rank Deficient Covariance Matrices

IEEE International Symposium on Information Theory - Proceedings, 2012, p. 2596-2600, Article number 6283987
Tucci, Gabriel H.; Wang, Ke

2019 4

A Generalized Hardy-ramanujan Formula for the Number of Restricted Integer Partitions

Journal of Number Theory, v. 201, August 2019, p. 322-353
Jiang, Tiefeng; Wang, Ke
Article

New Methods for Handling Singular Sample Covariance Matrices

IEEE Transactions on Information Theory, v. 65, (2), February 2019, p. 770-786
Tucci, Gabriel H.; Wang, Ke
Article

On A Class of Nonlocal SIR Models

Journal of Mathematical Biology, v. 78, (6), May 2019, p. 1581-1604
Guan, Li; Li, Dong; Wang, Ke; Zhao, Kun
Article

Symmetric radial decreasing rearrangement can increase the fractional Gagliardo norm in domains

Communications in Contemporary Mathematics, v. 21, (7), November 2019, article number 1850059
Li, Dong; Wang, Ke
Article

2018 1

Random Perturbation of Low Rank Matrices: Improving Classical Bounds

Linear Algebra and its Applications, v. 540, March 2018, p. 26-59
O'Rourke, Sean; Vu, Van; Wang, Ke
Article

2016 1

Eigenvectors of Random Matrices: A Survey

Journal of Combinatorial Theory. Series A, v. 144, November 2016, p. 361-442
O'Rourke, Sean; Vu, Van; Wang, Ke
Article

2015 1

Random Weighted Projections, Random Quadratic Forms and Random Eigenvectors

Random Structures and Algorithms, v. 47, (4), December 2015, p. 792-821
Vu, Van; Wang, Ke
Article

2013 1

Sparse Random Graphs: Eigenvalues and Eigenvectors

Random Structures and Algorithms, v. 42, (1), January 2013, p. 110-134
Tran, Linh V.; Vu, Van; Wang, Ke
Article

2012 2

Random Covariance Matrices: Universality of Local Statistics of Eigenvalues Up to the Edge

Random Matrices: Theory and Application, v. 1, (1), January 2012, article number 1150005
Wang, Ke
Article

An Innovative Approach for Analysing Rank Deficient Covariance Matrices

IEEE International Symposium on Information Theory - Proceedings, 2012, p. 2596-2600, Article number 6283987
Tucci, Gabriel H.; Wang, Ke
Conference paper

No Publications

Teaching Assignment

2024-25 Spring 3 2024-25 Winter 0 2024-25 Fall 1 2023-24 Summer 0 2023-24 Spring 1 2023-24 Winter 0

MATH2421	Probability
MATH6912R	Reading Course: Randomized Numerical Linear Algebra
UROP1100O	Undergraduate Research Opportunities Series 1

MATH2421

Probability

MATH2421

Probability

No Teaching Assignments

Research Postgraduate (RPG) Supervision

From January 2022 to December 2025 (As of 21 April 2025)

All Supervisions Current RPGs Graduated RPGs

Current RPGs

Doctor of Philosophy

LIU, Fengkai
Mathematics
LIU, Ziyun (co-supervision)
Mathematics
XIA, Ruizhe (co-supervision)
Mathematics

Graduated RPGs

Doctor of Philosophy

WU, Yue (co-supervision)
Mathematics( Completed in 2023 )

Master of Philosophy

LIU, Ziyun (co-supervision)
Mathematics( Completed in 2024 )

Projects

From January 2023 to December 2025

All Projects 3

No Projects.
Random matrices beyond the symmetric class

非對稱隨機矩陣 Leading

RGC - General Research Fund
Project Team (HKUST)
WANG Ke (Lead)
2023 -
Low-rank perturbations of large random matrices

大隨機矩陣的低秩擾動 Leading

RGC - Early Career Scheme
Project Team (HKUST)
WANG Ke (Lead)
2021 - 2024
Eigenvalues and eigenvectors of structured random matrices

有結構的隨機矩陣的特征值和特征向量 Leading

RGC - General Research Fund
Project Team (HKUST)
WANG Ke (Lead)
2020 - 2023

Research Interest

Publications

2024 1

2023 3

2022 1

2021 3

2019 4

2018 1

2016 1

2015 1

2013 1

2012 2

Article 1

Article 2

Conference paper 1

Article 1

Article 3

Article 4

Article 1

Article 1

Article 1

Article 1

Article 1

Conference paper 1

2019 4

2018 1

2016 1

2015 1

2013 1

2012 2

Teaching Assignment

Research Postgraduate (RPG) Supervision

From January 2022 to December 2025 (As of 21 April 2025)

Current RPGs

Graduated RPGs

Projects

From January 2023 to December 2025

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