Assistant Professor

Research Interests

Probabilistic combinatorics; Random structures; Random matrix theory and its applications

Teaching

• MATH1013  Calculus IB

Selected Publications

  Article

1. Statistical inference for principal components of spiked covariance matrices
   • Author(s): Bao, Zhigang; Ding, Xiucai; Wang, Jingming; Wang, Ke
   • Source: Annals of Statistics, v. 50, (2), April 2022, p. 1144-1169
   • Year: 2022


2. Enhanced Expressive Power and Fast Training of Neural Networks by Random Projections
   • Author(s): Cai, Jianfeng; Li, Dong; Sun, Jiaze; Wang, Ke
   • Source: CSIAM Transactions on Applied Mathematics, v. 2, (3), August 2021, p. 532-550
   • Year: 2021


3. Singular vector and singular subspace distribution for the matrix denoising model
   • Author(s): Bao, Zhigang; Ding, Xiucai; Wang, Ke
   • Source: Annals of Statistics, v. 49, (1), February 2021, p. 370-392
   • Year: 2021


4. Statistical Properties of Eigenvalues of Laplace–Beltrami Operators
   • Author(s): Jiang, Tiefeng; Wang, Ke
   • Source: Journal of Theoretical Probability, January 2021
   • Year: 2021


5. A Generalized Hardy-ramanujan Formula for the Number of Restricted Integer Partitions
   • Author(s): Jiang, Tiefeng; Wang, Ke
   • Source: Journal of Number Theory, v. 201, August 2019, p. 322-353
   • Year: 2019


6. On A Class of Nonlocal SIR Models
   • Author(s): Guan, Li; Li, Dong ; Wang, Ke ; Zhao, Kun
   • Source: Journal of Mathematical Biology, v. 78, (6), May 2019, p. 1581-1604
   • Year: 2019


7. New Methods for Handling Singular Sample Covariance Matrices
   • Author(s): Tucci, Gabriel H.; Wang, Ke
   • Source: IEEE Transactions on Information Theory, v. 65, (2), February 2019, p. 770-786
   • Year: 2019


8. Symmetric radial decreasing rearrangement can increase the fractional Gagliardo norm in domains
   • Author(s): Li, Dong ; Wang, Ke
   • Source: Communications in Contemporary Mathematics, 27 August 2018
   • Year: 2018


9. Random Perturbation of Low Rank Matrices: Improving Classical Bounds
   • Author(s): O'Rourke, Sean; Vu, Van; Wang, Ke
   • Source: Linear Algebra and its Applications, v. 540, March 2018, p. 26-59
   • Year: 2018


10. Eigenvectors of Random Matrices: A Survey
    • Author(s): O'Rourke, Sean; Vu, Van; Wang, Ke
    • Source: Journal of Combinatorial Theory. Series A. , v. 144, November 2016, p. 361-442
    • Year: 2016


11. Random Weighted Projections, Random Quadratic Forms and Random Eigenvectors
    • Author(s): Vu, Van; Wang, Ke
    • Source: Random Structures and Algorithms. , v. 47, (4), December 2015, p. 792-821
    • Year: 2015


12. Sparse Random Graphs: Eigenvalues and Eigenvectors
    • Author(s): Tran, Linh V.; Vu, Van; Wang, Ke
    • Source: Random Structures and Algorithms. , v. 42, (1), January 2013, p. 110-134
    • Year: 2013


13. Random Covariance Matrices: Universality of Local Statistics of Eigenvalues Up to the Edge
    • Author(s): Wang, Ke
    • Source: Random Matrices: Theory and Applications. , v. 1, (1), 2012, Jan
    • Year: 2011

  Conference paper

1. An Innovative Approach for Analysing Rank Deficient Covariance Matrices
   • Author(s): Tucci, Gabriel H.; Wang, Ke
   • Source: IEEE International Symposium on Information Theory - Proceedings. , 2012, p. 2596-2600, Article number 6283987
   • Year: 2012

  Preprint

1. Statistical Properties of Eigenvalues of Laplace-beltrami Operators
   • Author(s): Jiang, Tiefeng; Wang, Ke
   • Source: arXiv, Feb 2016, Article number:1602.00406v1
   • Year: 2016


2. New Methods for Handling Singular Covariance Matrices
   • Author(s): Tucci, Gabriel H.; Wang, Ke
   • Source: arXiv, Nov 2011, Article number 1111.0235
   • Year: 2011