Research

Interests

High-Dimensional Statistics, Statistical Machine Learning, Data Privacy.

Technical Reports

(* indicates alphabetical ordering authorship)

• • * T. Tony Cai, Yichen Wang and Linjun Zhang. (2018)
    The Cost of Privacy: Optimal Rates of Convergence for Parameter Estimation with Differential Privacy.
    Submitted.
  • * T. Tony Cai, and Linjun Zhang. (2018)
    A Convex Optimization Approach to High-dimensional Sparse Quadratic Discriminant Analysis.
    Submitted.
  • Xianli Zeng, Yingcun Xia, and Linjun Zhang. (2018)
    Double Cross Validation for The Number of Factors in Orthogonal Factor Models .
    Submitted.

Publications

(* indicates alphabetical ordering authorship)

• • * T. Tony Cai, Jing Ma and Linjun Zhang. (2018)
    CHIME: Clustering of High-Dimensional Gaussian Mixtures with EM Algorithm and Its Optimality.
    to appear in Annals of Statistics
  • * T. Tony Cai, Linjun Zhang and Harrison H. Zhou. (2017)
    Adaptive Functional Linear Regression.
    to appear in Statistica Sinica
  • * T. Tony Cai, and Linjun Zhang. (2017)
    High-Dimensional Gaussian Copula Regression: Adaptive Estimation and Statistical Inference.
    Statistica Sinica, 2018, Vol. 28, 963-993.
  • * T. Tony Cai, and Linjun Zhang. (2016)
    Discussion: Important feature PCA for high dimensional clustering.
    Annals of Statistics, 2016, Vol. 44, No. 6, 2372-2381.
  • Linjun Zhang, Michael Small, and Kevin Judd. (2015)
    Exactly scale-free scale-free networks.
    Physica A, 433: 182-197.
  • Michael Small, Lvlin Hou, and Linjun Zhang. (2014)
    Random complex networks.
    The IEEE International Symposium on Circuits and Systems (ISCAS) 2014 invited paper.
  • Michael Small, Kevin Judd, L. Zhang. (2014)
    How is that complex network complex?
    National Science Review , 1(3): 357-367.