LUO Ziyan

Professional title:Professor

Office No.:51685467


Postdoc in System Science, Beijing Jiaotong University from June 2010 to June 2012

Ph.D. in Operations Research, Beijing Jiaotong University, June, 2010

B.Sc. in Mathematics, Beijing Jiaotong University, July, 2005

Professional Experience

Visiting scholar at Stanford from Feb. 2011 to Jan. 2012; visiting scholar at National University of Singapore from Sept. 2015 to Sept. 2016; visiting scholar at Southampton University in 2019, 2021; Research Associate at Hong Kong Polytechnic University in 2010, 2015, 2020. Guest editor for Pacific Journal of Optimization in 2021.

Research Field

Sparse and Low-Rank Optimization Theory and Methods, Tensor Analysis and Applications, Statistics, Machine Learning


2019-2023: Beijing Natural Science Foundation, Z190002, Dimension Reduction Theory and Methodology in Supervised Learning.


2018-2021: National Natural Science Foundation of China, 11771038, Optimization theory and algorithms for high order high dimensional tensor regression.


2014-2016: National Natural Science Foundation of China, 11301022, Study on Methods for Wireless Sensor Network Localization Based on Matrix Rank Minimization Models.

Teaching Courses

Theory and Algorithms for Optimization, Optimization Methods I & II, Linear Algebra


  1. Shuangyue Wang,Ziyan Luo,Low rank support tensor machine based on L0/1 soft-margin loss function, Operations Research Transactions, 25(3)(2021) 160–172 (In Chinese)
  2. Xiaotong Yu, Ziyan Luo, A sparse tensor optimization approach for background subtraction from compressive measurements, Multimedia Tools and Applications, 80 (2021) 26657–26682 (SCI)
  3. Yang Chen, Ziyan Luo, Lingchen Kong, ℓ2,0-norm based selection and estimation for multivariate generalized linear models, Journal of Multivariate Analysis, 185 (2021) 104782 (SCI)
  4. Xiaotong Yu, Ziyan Luo, Liqun Qi and Yanwei Xu, SLRTA: A sparse and low-rank tensor-based approach to internet traffic anomaly detection, Neurocomputing 434 (2021) 295–314 (SCI)
  5. Chen Zhao,Ziyan Luo,Naihua Xiu,Some advances in theory and algorithms for sparse optimization, Operations Research Transactions, 24(4)(2020) 1–24 (In Chinese)
  6. Xinrong Li,Naihua Xiu,Ziyan Luo,Some advances in low-rank matrix optimization, Operations Research Transactions, 24(2)(2020) 23–41 (In Chinese)
  7. Ziyan Luo, Liqun Qi and Philippe L. Toint, Tensor Bernstein concentration inequalities with an application to sample estimators for high-order moments, Frontiers of Mathematics in China, 15(2) (2020) 367–384 (SCI)
  8. Ziyan Luo, Defeng Sun, Kim-Chuan Toh and Naihua Xiu, Solving the OSCAR and SLOPE models using a semismooth Newton-based augmented Lagrangian method, Journal of Machine Learning Research, 20 (106) (2019) 1-25 (SCI)
  9. Ziyan Luo, Xiaotong Yu and Xiaoyu Li, An l0-norm minimization for energy-efficient timetabling in subway systems, IEEE Access, 7(2019) 59422-59436 (SCI)
  10. Chen Zhao, Ziyan Luo, Weiyue Li, Hou-duo Qi and Naihua Xiu, Lagrangain duality and saddle points for sparse linear programming, Science China Mathematics, 62(10) (2019) 2015-2032 (SCI)
  11. Zhiyong Huang, Ziyan Luo and Naihua Xiu, High-dimensional least-squares with perfect positive correlation, Asia-Pacific Journal of Operational Research, 36(4) (2019) 1950016 (SCI)
  12. Yunfang Fu, Qiuqi Ruan, Ziyan Luo, Jin Yi, Gaoyun An and Jun Wan, FERLrTc: 2D + 3D facial expression recognition via low-rank tensor completion,Signal Processing, 161 (2019) 74–88 (SCI)
  13. Ziyan Luo, Xiaoyu Li and Naihua Xiu, A sparse optimization approach for energy-efficient timetabling in metro railway systems, Journal of Advanced Transportation, 2018, 19 pages, ID 1784789 (SCI)
  14. Weiyang Ding, Ziyan Luo and Liqun Qi, P-tensors, P0-tensors, and their applications, Linear Algebra and its Applications, 555(1) (2018) 336-354 (SCI)
  15. Lili Pan, Ziyan Luo and Naihua Xiu, Restricted Robinson constraint qualification and optimality for cardinality-constrained cone programming, Journal of Optimization Theory and Applications, 175(1) (2017) 104-118 (SCI)
  16. Ziyan Luo, Liqun Qi and Naihua Xiu, The sparsest solutions to Z-tensor complementarity problems, Optimization Letters, 11(3)(2017) 471-482 (SCI)
  17. Ziyan Luo and Liqun Qi, Completely positive tensors: properties, easily checkable subclasses, and tractable relaxations, SIAM Journal on Matrix Analysis and Applications, 37(4) (2016) 1675-1698 (SCI)
  18. Changqing Xu, Ziyan Luo, Liqun Qi and Zhibing Chen, {0,1} completely positive tensors and multi-hypergraphs,  Linear Algebra and its Applications, 510 (2016) 110-123 (SCI)
  19. Ziyan Luo and Naihua Xiu, On minimal rank solutions to symmetric Lyapunov equations in Euclidean Jordan algebra, Optimization, 2(65) (2016) 433-442 (SCI)
  20. Ziyan Luo and Liqun Qi, Positive semidefinite tensors, Science China Mathematics, 5 (2016) 639-654 (in Chinese) 
  21. Chen Zhao, Ziyan Luo and Naihua Xiu, Low-order penalty equations for semidefinite linear complementarity problems, Operations Research Letters, 3(44) (2016) 342-347 (SCI)
  22. Shenglong Zhou, Naihua Xiu, Ziyan Luo and Lingchen Kong, Sparse and low-rank covariance matrix estimation,Journal of the Operations Research Society of China, 3 (2015) 231-250
  23. Jinchuan Zhou, Naihua Xiu, Soonyi Wu and Ziyan Luo, Subderivative and subdifferential of dual gap functions in variational inequalities, Pacific Journal of Optimization, 11 (2015) 177-193 (SCI)
  24. Ziyan Luo, Liqun Qi and Yinyu Ye, Linear operators and positive semidefiniteness of symmetric tensor spaces, Science China Mathematics, 58 (2015) 197-212 (SCI)
  25. Yongqiang Chen, Ziyan Luo and Naihua Xiu, Half thresholding eigenvalue algorithm for semidefinite matrix completion, Science China Mathematics, 58(9) (2015) 2015-2032 (SCI)
  26. Lingchen Kong, Jiyuan Tao, Ziyan Luo and Naihua Xiu, Some new results on Z-transformations on the Lorentz cone, Pacific Journal of Optimization, 11(4) (2015) 751-762 (SCI)
  27. Jiyuan Tao, Lincheng Kong, Ziyan Luo and Naihua Xiu, Some majorization inequalities in Euclidean Jordan algebras, Linear Algebra and Its Applications, 461 (2014) 92-122 (SCI)
  28. Ziyan Luo and Naihua Xiu, Exact relaxation for the semidefinite matrix rank minimization problem with extended Lyapunov equation constraint, Electronic Journal of Linear Algebra, 27 (2014) 683-691(SCI)
  29. Ziyan Luo, Jiyuan Tao, Naihua Xiu, Lowest-rank solutions of continuous and discrete Lyapunov equations over symmetric cone, Linear Algebra and its Applications, 452 (2014) 68-88 (SCI)
  30. Ziyan Luo, Linxia Qin, Lingchen Kong and Naihua Xiu, The Nonnegative zero-norm minimization under generalized Z-Matrix measurement, Journal of Optimization Theory and Applications, 160 (2014) 854-864 (SCI)
  31. Xin Ma, Keping Li, Ziyan Luo and Jin Zhou, Analyzing the causation of a railway accident based on a complex network, Chinese Physics B, 23(2) (2014) 028904 (SCI)
  32. Liping Zhang, Liqun. Qi and Ziyan Luo, The dominant eigenvalue of an essentially nonnegative tensor, Numerical Linear Algebra with Applications, 20 (2013) 929–941 (SCI)
  33. Ziyan Luo, Keping Li, Xin Ma and Jin Zhou, A new accident analysis method based on complex networkand Cascading Failure, Discrete Dynamics in Nature and Society, Volume 2013, Article ID 437428, 9 pages, 2013 (SCI)
  34. Ziyan Luo, Keping Li, Xin Ma and Jin Zhou, Analyzing Railway Accidents Based on Complex Network and Cascading Failure. the 2013 International Conference on Electrical and Information Technologies for Rail Transportation (EITRT2013)
  35. Ziyan Luo, Naihua Xiu and Lincheng Kong, Lyapunov-type least-squares problems over symmetric cones, Linear Algebra and its Applications, 437 (2012) 2498-2515 (SCI)
  36. Yingnan Wang, Naihua Xiu and Ziyan Luo, A regularized strong duality for nonsymmetricsemidefinite least squares problem, Optimization Letters, 5 (2011) 665-682(SCI)
  37. Ziyan Luo and Naihua Xiu, Feasibility and solvability of Lyapunov-type linear programming over symmetric cones, Positivity, 14 (2010) 481-499 (SCI)
  38. Ziyan Luo and Naihua Xiu, Path-following interior point algorithms for Cartesian $P_*(\kappa)-LCP$ over symmetric cones, Science in China Series A, 52 (2009) 1769-1784(SCI)
  39. Ziyan Luo and Naihua Xiu, An $\mathcal{O}(rL)$ infeasible interior-point algorithm for symmetric cone LCP via CHKS function, Acta Mathematicae Applicatae Sinica English Series, 25 (2009) 593-606(SCI)
  40. Ziyan Luo and Naihua Xiu, Extensions for generalized inverse of matrices, Journal of Beijing Jiaotong University, 33(3) (2009) 116-120 (in Chinese)


Liqun Qi, Ziyan Luo, Tensor Analysis: Spectral Theory and Special Tensors, SIAM, April 2017

Naihua Xiu,Ziyan Luo,Semidefinite Programming, Beijing Jiaotong University Press, June 2014 (In Chinese)