CN EN

XIU Naihua

Professional title:Professor

Office No.:010-51684410

Email:nhxiu@bjtu.edu.cn

Education

Sep 1997-Sep 1999: Postdoctor, Department of Applied Mathematics, Beijing Jiaotong University, Beijing, China.

Sep 1994-July 1997: Ph.D. Student, Institute of Applied Mathematics, The Chinese Academy of Sciences, Beijing, China.

Sep 1984-Jan 1986: M.Sc. Course Student, Department of Mathematics, Jilin University, Changchun, China.

Mar 1978-Mar 1982: B.Sc. Student, Department of Mathematics, Hebei Teacher's University, Shijiazhuang, China.

Professional Experience

Naihua Xiu is now a professor in Department of Mathematics, School of Science, Beijing Jiaotong University. Her research interests include sparse and sgn optimization theory and methods, Machine Learning.

Research Field

Sparse and Sgn Optimization Theory and Methods, Compressive sensing, Machine Learning.

Projects


  1. 2019-10-2023-10, “Dimension Reduction Theory and Methodology in Supervised Learning”,Beijing Natural Science foundation.
  2. 2020.07-2022.6, “Rank-2 Optimization Model and Algorithms for Multidimensional Scaling Graph Drawing” ”, The National Natural Science Foundation of China.
  3. 2020.01-2020.12, “Low-rank optimization algorithm for SVM indefinite kernel learning” The National Natural Science Foundation of China.
  4. 2020.01-2023.12, “Fundamental Theory and Algorithms for Sgn Optimization”, The National Natural Science Foundation of China.
  5. 2018.01-2019.12, “Matrix Optimization for Time Series Data”, The National Natural Science Foundation of China.
  6. 2016.04-2018.03, “Optimization Models and Algorithms for Network Data Visualization”, The National Natural Science Foundation of China.
  7. 2015.01-2019.12, “Theory and Algorithms for Large-Scale Sparse Optimization”, The National Natural Science Foundation of China.
  8. 2013.01-2016.12, “Matrix Optimization Models and Algorithms for Multidimensional Scaling”, The National Natural Science Foundation of China.
  9. 2010.01-2014.12, “Establishment of Priori Statistics Models and Nonlinear Optimization Theory”, The National Basic Research Program of China (973 for short).
  10. 2009.01-2011.12, “Analysis and Algorithms for Complementarity Problem with Uncertain Information”, The National Natural Science Foundation of China.
  11. 2007.01-2009.12, “Fundamental Theory for Symmetric Cone Complementarity”, The National Natural Science Foundation of China.
  12. 2006.01-2008.12, “Analysis and Algorithms for Stochastic Optimization with Equilibrium Constraints”, The National Natural Science Foundation of China.
  13. 2005.01-2007.12, “Analysis and Computing for Non-Cooperative Game in Economics”, The Program for the New Century Excellent Talents, Chinese Ministry of Education.
  14. 2005.01-2007.12, “Equilibrium Optimization Algorithms for Generalized Non-Cooperative Game”, The National Natural Science Foundation of China.
  15. 2004.01-2006.12, “Theory and Algorithms for Generalized Nash Equilibrium Problems”, The Key Project of Chinese Ministry of Education.
  16. 2003.01-2005.12, “Projection and Non-Interior Algorithms for Equilibrium Optimization Problems”, The National Natural Science Foundation of China.
  17. 2002.05-2004.05, “Further Studies on Non-Interior Algorithms for Variational Inequalities and complementarity Problems”, The Research Grant of Chinese Ministry of Education.
  18. 2000.01-2002.12, “Some New Algorithms for Variational Inequalities and complementarity Problems”, The National Natural Science Foundation of China.
  19. 1998.01-1999.07, “Non-Interior Algorithms for Variational Inequalities and complementarity Problems”, The Post-Doctoral Research Foundation of China.


 

Teaching Courses

Convex analysis, Semidefinite programming, Theory and Algorithms for Optimization, Variational Inequalities and Complementarity Problems.

Paper

  1. B.Chen and N.H.Xiu (1999), “A global linear and local quadratic non-interior continuation method for NCP based on Chen-Mangasarian smoothing functions”, SIAM J. Optimization, Vol.9(3), 605-623.
  2. J.Z.Zhang and N.H.Xiu (1999), “Local uniqueness of solutions to the extended linear complementarity problem”, J. Optim. Theory Appl., Vol.103(3), 715-726.
  3. J.Z.Zhang and N.H.Xiu (2000), “Global s-type error bound for the extended linear complementarity problem and applications”, Math. Programming, Vol.88(2), 391-410.
  4. C.Y.Wang and N.H.Xiu (2000), “Convergence of projected gradient methods for generalized convex minimization”, Comput. Optim. Appl., Vol.16, 111-120.
  5. N.H.Xiu, C.Y.Wang and J.Z. Zhang (2001), “Convergence properties of the projection and contraction methods for monotone variational inequalities”, Appl. Math. Optim., Vol.43, 147-168.
  6. B.Chen and N.H.Xiu (2001), “A superlinear noninterior one-step continuation method for monotone LCP in the absence of strict complementarity”, J. Optim. Theory Appl., Vol.108 (2), 317-332.
  7. N.H. Xiu, J. Zhang and M. A. Noor (2001), “Tangent  projection equations and general variational inequalities”,  J. Math. Anal. Appl., Vol. 258 (2), 755-762.
  8. N.H.Xiu and J.Z.Zhang (2001), “A smoothing Gauss-Newton method for the generalized  HLCP”,  J. Compu. Appl. Math., Vol.129, 195-208.
  9. N.H.Xiu and Z.Gao (2001), “Convergence of a modified SLP algorithm for the extended linear complementarity problem”,  Appl. Math. Mech., Vol. 22(5), 602-608.
  10. Y.J. Wang, N.H. Xiu and C.Y. Wang (2001), “A unified framework of extragradient-type methods for pseudomonotone variational inequalities”, J. Optim. Theory Appl. , Vol.111(3), 641-656.
  11. Y. Wang, N.H. Xiu and C.Y. Wang (2001), “A new version of extragradient method for variational inequality problems”, Computer Math. Appl., Vol. 42 (6/7), 969-979.
  12. J.Z.Zhang and N.H.Xiu (2001), “Local convergence behavior of some projection-type methods  for affine variational inequalities”, J. Optim. Theory Appl., 108 (1), 205-216.
  13. J.Z. Zhang and N.H. Xiu (2002), “New projection-type methods for monotone LCP with finite termination”, Numer. Math., Vol. 92, 179-195 .
  14. N.H. Xiu and J.Z. Zhang (2002),  “On a characteristic quantity of P-matrices”, Appl. Math. Letters., Vol. 15 (1), 41-46.
  15. N. H. Xiu and J. Zhang (2002), “Global projection-type error bounds for general variational inequalities”,  J. Optim. Theory Appl., Vol.112 (1), 213-228.
  16. N.H. Xiu and J. Zhang (2002), “Local convergence analysis of projection-type algorithms: a  unified approach”, J. Optim. Theory Appl., Vol.115, 211-230.
  17. N. H. Xiu and J. Zhang (2003), “Some recent advances in projection-type methods for variational inequalities”, J. Comput. Appl. Math., Vol.152, 559-585.
  18. Yiju Wang, Naihua Xiu and Jianzhong Zhang (2003), “Modified extragradient method for  variational inequalities and verification of solution existence”, J. Optimization Theory and Applications, Vol.119, 167-183.
  19. M.A. Noor, Yiju Wang, and Naihua Xiu (2003), “Some new projection methods for variational inequalities”, Applied Mathematics and Computation, Vol.137, 423-435.
  20. J.Z. Zhang, Changyu Wang and Naihua Xiu (2003), “The dual gap function for variational inequalities”, Appl. Math. Optim., Vol.48 , 129-148.
  21. N. H. Xiu and J. Zhang (2003), “Identification of optimal active set in noninterior continuation method for LCP”,  J. Global Optim., Vol.26 (2), 183-198.
  22. N. H. Xiu, Y. J. Wang and X. S. Zhang (2004), “On modified fixed-point equations and related iterative methods for variational inequalities”, Computer Math. Appl., Vol.47, 913-920.
  23. N. H. Xiu and J. Zhang (2005), “On finite convergence of proximal point algorithms for variational inequalities”, J. Math. Anal. Appl., Vol.312, 148-158.
  24. B. Qu and N.H. Xiu (2005), “A note on the CQ algorithm for the split feasibility problem”, Inverse Problems, Vol.21, 1655-1665.
  25. N.H. Xiu, J. Zhang and Z.H. Wang (2007), “Convergence of the implicit filtering method for constrained optimization of noisy functions”, Numer. Func. Anal. Optim., Vol.28, 127-147.
  26. N. H. Xiu and C.Y. Wang and L.C. Kong (2007), “A note on the gradient projection method with exact stepsize rule”, J. Comput. Math., Vol. 25, 221-230.
  27. L.C. Kong and N.H. Xiu (2007), “New smooth C-functions for symmetric cone complementarity problems”, Optimization Letters, Vol.1, 391-400.
  28. B. Qu and N.H. Xiu (2007), “A relaxed extragradient-like method for a class of constrained optimization problems”, Journal of Industrial and Management Optimization, Vol.3, 645-654.
  29. A.L. Yan, G.Y. Wang and N.H. Xiu (2007), “Robust solutions of split feasibility problem with uncertain linear operator”, Journal of Industrial and Management Optimization, Vol.3, 749-761.
  30. B. Qu and N.H. Xiu (2008), “A new halfspace-relaxation projection method for the split feasibility problem”, Linear Algebra and Its Applications, Vol. 428, 1218-1229.
  31. L.C. Kong, J. Sun and N.H. Xiu (2008), “A Regularized Smoothing Newton Method for Symmetric Cone Complementarity Problems”, SIAM J. Optimization, Vol.19, 1028-1047.
  32. L.C. Kong, N.H. Xiu and J.Y. Han (2008), “The Solution Set Structure of Monotone Linear Complementarity Problems over Second-Order Cone”, Operations Research Letters, Vol.36, 71-76.
  33. L.C. Kong, L. Tuncel and N.H. Xiu (2009), “Clarke generalized Jacobian of the projection onto symmetric cones and its applications”, Set-Valued and Variational Analysis, Vol.17, 135-151.
  34. C. Zhang, X. Chen and N.H. Xiu (2009), “Global error bounds for the extended vertical LCP”, Comput. Optim. Appl., Vol.42, 335–352.
  35. Z.Y. Luo and N.H. Xiu (2009), “Path-Following Interior Point Algorithms for the Cartesian P*(K)-LCP over Symmetric Cones”, Science in China, Vol. 52, No. 8, 1769–1784.
  36. L.X. Qin, L.C. Kong and J.Y. Han (2009), “Sufficiency of linear transformations on Euclidean Jordan algebras”, Optim. Letters, Vol. 3, 265-276.
  37. L.C. Kong, L. Tuncel and N.H. Xiu (2009), “Vector-Valued Implicit Lagrangian for Symmetric Cone Complementarity Problems”, Asian Pacific Journal of Operations Research, Vol. 26, 199–233.
  38. Y.F. Wang, J. Cao, Y.X. Yuan, C. Yang, and N.H. Xiu (2009), “Regularizing active set method for nonnegatively constrained ill-posed multichannel image restoration problem”, Applied Optics, Vol. 48, 1389-1401.
  39. L.C. Kong, L. Tuncel and N.H. Xiu (2009), “Clarke generalized Jacobian of the projection onto symmetric cones and its applications”, Set-Valued and Variational Analysis, Vol.17, 135-151.
  40. Z.Y. Luo and N.H. Xiu (2009), “An O(rL) Infeasible Interior-Point Algorithm for Symmetric Cone LCP via CHKS Function”, Acta Mathematicae Applicatae Sinica, Vol.25, No.4, 593–606.
  41. Z.Y. Luo and N.H. Xiu (2010), “Feasibility and solvability of Lyapunov-type linear programming over symmetric cones”, Positivity, Vol.14, No.3, 481-499.
  42. Yingnan Wang, Naihua Xiu, Jiye Han (2010), “On cone of nonsymmetric positive semidefinite matrices”, Linear Algebra and its Applications, Vol. 433, 718-736.
  43. Lingchen Kong, Levent Tuncel, Naihua Xiu (2010), “The Fischer-Burmeister complementarity function on Euclidean Jordan algebras”, Pacific Journal of Optimization, Vol.6, No.2, 423-440.
  44. Jianzhong Zhang, Biao Qu, Naihua Xiu (2010), “Some projection-like methods for the generalized Nash equilibria”, Computional Optimization and Applications, Vol.45, No.1, 89-105.
  45. Y.N. Wang and N.H. Xiu (2011), “Strong Semismoothness of Projection onto Slices of Second-Order Cone”,J. Optim. Theory Appl. , Vol.150, 599–614.
  46. Yingnan Wang, Naihua Xiu, Ziyan Luo (2011), “A regularized strong duality for nonsymmetric semidefinite least squares problem”, Optimization Letters, Vol.5, 665–682.
  47. Qingna Li, Houduo Qi, Naihua Xiu (2011), “Block relaxation and majorization methods for the nearest correlation matrix with factor structure”, Computational Optimization and Applications, Vol.50, No.2, 327-349.
  48. Lingchen Kong, Levent Tuncel, Naihua Xiu (2011), “Equivalent conditions for Jacobian nonsingularity in linear symmetric cone programming”, Journal of Optimization Theory and Applications, Vol.148, No.2, 364-389.
  49. L.C. Kong, L. Tuncel and N.H. Xiu (2012), “Monotonicity of Lowner Operator and Its Applications to Symmetric Cone Complementarity Problems”, Math. Programming, Vol.133, 327-336.
  50. Ziyan Luo, Naihua Xiu, Lingchen Kong (2012), “Lyapunov-type least-squares problems over symmetric cones”, Linear Algebra and Its Applications, Vol.437, No.10, 2498-2515.
  51. Dingtao Peng, Jian Yu, Naihua Xiu (2012), “Generic uniqueness of solutions for a class of vector Ky Fan inequalities”, Journal of Optimization Theory and Applications, Vol.155, No.1, 165-179.
  52. Linxia Qin, Naihua Xiu, Lingchen Kong, Yu Li (2012), “Linear program relaxation of sparse nonnegative recovery in compressive sensing microarrays”, Computational and Mathematical Methods in Medicine, Vol.2012 , Article ID 646045, 8 pages.
  53. Yu Li, Dachuan Xu, Donglei Du, Naihua Xiu (2012), “Improved approximation algorithms for the robust fault-tolerant facility location problem”, Information Processing Letters, Vol.112, No.10, 361-364.
  54. Lingchen Kong, Levent Tuncel, Naihua Xiu (2012), “Existence and uniqueness of solutions for homogeneous cone complementarity problems”, Journal of Optimization Theory and Applications, Vol.153, No.2, 357-376.
  55. Jinchuan Zhou, Naihua Xiu, Changyu Wang (2012), “Saddle point and exact penalty representation for generalized proximal Lagrangians”, Journal of Global Optimization, Vol.54, No.4, 669-687.
  56. Jinchuan Zhou, Bore Mordukhovich, Naihua Xiu (2012), “Complete characterizations of local weak sharp minima with applications to semi-infinite optimization and complementarity”, Nonlinear Analysis Series A: Theory, Methods & Applications, Vol.75, 1700-1718.
  57. Houduo Qi, Naihua Xiu (2012), “A convex quadratic semi-definite programming approach to the partial additive constant problem in multidimensional scaling”, Journal of Statistical Computation and Simulation, Vol.82, No.9, 1317-1336.
  58. Li, Shu, Wang, Xiu, Xu, and Zhang: (2013), “Approximation Algorithms for Integrated Distribution Network Design Problems”, INFORMS Journal on Computing, Vol. 25, No.3, 572-584.
  59. Houduo Qi, Naihua Xiu, and XiaomingYuan (2013), “A Lagrangian dual approach to the single source localization problem”, IEEE Trans. Signal Processing, Vol.61, No.15, 3815-3826.
  60. Dingtao Peng, Jian Yu, Naihua Xiu (2013), “Generic uniqueness theorems with some applications”, Journal of Global Optimization, 56(2): 713-725.
  61. Jinchuan Zhou, Naihua Xiu, Jein-Shan Chen (2013), “Solution properties and error bounds for semi-infinite complementarity problems”, Journal of Industrial and Management Optimization, Vol.9, No.1, 99-115.
  62. Lingchen Kong, Naihua Xiu (2013), “Exact low-rank matrix recovery via nonconvex schatten p-minimization”, Asia Pacific Journal of Operations Research, Vol.30, No.3, 1340010 [13 pages].
  63. Yu Li, Donglei Du, Naihua Xiu, Dachuan Xu (2013), “A combinatorial 2.375-approximation algorithm for the facility location problem with submodular penalties”, Theoretical Computer Science, Vol.476, 109–117.
  64. Shenglong Zhou, Lingchen Kong, Naihua Xiu (2013), “New bounds for RIC in compressed sensing”, Journal of the Operations Research Society of China, Vol.1, No.2, 227-237.
  65. Yu Li, Naihua Xiu, Dachuan Xu (2013), “An approximation algorithm for the k-median warehouse-retailer network design problem”, Science China Mathematics, Vol.56, No.11, 2381-2388.
  66. Chao Zhnag, Liping Jing, and Naihua Xiu (2014), “A new active set method for nonnnegatvie matrix factorization”, SIAM Journal on Scientific Computing, Vol.36, No.6, A2633–A2653.
  67. Yu Li, Donglei Du, Naihua Xiu, Dachuan Xu (2014), “A unified dual-fitting approximation algorithm for the facility location problems with linear/submodular penalties”, Journal of Combinatorial Optimization, Vol.27, No.3, 609-620.
  68. Ziyan Luo, Linxia Qin, Lingchen Kong, Naihua Xiu (2014), “The Nonnegative Zero-Norm Minimization Under Generalized Z-Matrix Measurement”, J. Optimization Theory and Applications,Vol.160, No.3, 854-864.
  69. Yongqiang Chen, NaihuaXiu, D.T. Peng (2014),“Global solutions of non-Lipschitz S2-Sp minimization over the positive semidefinite cone”,Optimization Letters,Vol.8, 2053–2064.
  70. Jun Fan, Ailing Yan, Naihua Xiu (2014),“Asymptotic properties for M-estimators in linear models with dependent random errors”,Journal of Statistical Planning and Inference,Vol.148, 49–66.
  71. Ziyan Luo, JiyuanTao, Naihua Xiu (2014), “Lowest-rank solutions of continuous and discrete Lyapunov equations over symmetriccone”,Linear Algebra and its Applications, Vol.452, 68–88.
  72. Meijuan Shang, Chao Zhang, Naihua Xiu (2014),“Minimal Zero Norm Solutions of Linear Complementarity Problems”,J. Optimization Theory and Applications, Vol.163, 795–814.
  73. Shuanghua Bai, Houduo Qi, and Naihua Xiu (2015), “Constrained Best Euclidean Distance Embedding on a Sphere: a Matrix Optimization Approach”, SIAM Journal on Optimization, Vol.25, No.1, 439–467.
  74. Yu Li, Donglei Du,Naihua Xiu, and Dachuan Xu (2015), “Improved Approximation Algorithms for the Facility Location Problems with Linear/Submodular Penalties”,Algorithmica, Vol.73, No.2, 460-482.
  75. Sheng-Long Zhou, Nai-Hua Xiu, Zi-Yan Luo, Ling-Chen Kong (2015), “Sparse and low-rank covariance Matrix Estimation”, J. Oper. Res. Soc. China., Vol.3, No.2, 231-250.
  76. Li-Li Pan, Nai-Hua Xiu, Sheng-Long Zhou (2015), “On solutions of sparsity constrained optimization”, J. Oper. Res. Soc. China., Vol.3, No.4, 421-439.
  77. Y.Q. Chen, Ziyan Luo, N.H. Xiu (2015), “Half thresholding eigenvalue algorithm for semidefinite matrix completion”, SCIENCE CHINA Mathematics, Vol.58, No.9, 2015–2032.
  78. Lingchen Kong, Jie Sun, JiyuanTao, Naihua Xiu (2015), “Sparse recovery on Euclidean Jordan algebras”, Linear Algebra and its Applications, Vol.465, 65–87.
  79. Meijuan Shang, Shenglong Zhou and Naihua Xiu (2015), “Extragradient thresholding methods for sparse solutions of co-coercive NCPs”, Journal of Inequalities and Applications, Vol.2015, 34-47.
  80. Jinchuan Zhou, Naihua xiu, Soonyi Wu, Ziyan Luo (2015), “Subderivative and subdifferential of gap functions in variational inequalities”, Pacific Journal of Optimization, Vol.11, No.1, 177-193.
  81. Lingchen Kong, J. Tao, Ziyan Luo and Naihua Xiu (2015), “Some new results for Z-transformation on the Lorentz Cone”, Pacific Journal of Optimization, Vol.11, No.4, 751-762.
  82. Ziyan Luo, Naihua Xiu (2016), “On minimal rank solutions to symmetric Lyapunov equations in Euclidean Jordan algebra”, Optimization, Vol.65, No.2, 433-442.
  83. Chen Zhao, Ziyan Luo, Naihua Xiu (2016), “Low-order penalty equations for semidefinite linear complementarity problems”, Operations Research Letters, Vol.44, 342–347.
  84. Shenglong Zhou, Naihua Xiu, Yingnan Wang, Lingchen Kong, and Houduo Qi (2016), “A null-space-based weighted L1 minimization approach to compressed sensing”, Information and Inference: A Journal of the IMA, Vol. 5, No.1, 76-102.
  85. Lili Pan, Naihua Xiu and Jun Fan (2017), “Optimality conditions for sparse nonlinear programming”, Science China Mathematics, Vol. 60(5), 759-776.
  86. Lili Pan, Shenglong Zhou, Naihua Xiu and Houduo Qi (2017), “A Convergent Iterative Hard Thresholding for Nonnegative Sparsity Optimization”, Pacific Journal of Optimization, Vol. 13(2), 325-353.
  87. Dingtao Peng, Naihua Xiu and Jian Yu (2017), “S1/2 regularization methods and fixed point algorithms for affine rank minimization problems”, Computational Optimization and Applications, Vol. 67(3), 543-569.
  88. Lili Pan, Ziyan Luo and Naihua Xiu (2017), “Restricted Robinson Constraint Qualification and Optimality for Cardinality-Constrained Cone Programming”, J. Optimization Theory and Applications, Vol. 175(1), 1-15.
  89. Ziyan Luo, Liqun Qi and Naihua Xiu (2017), “The sparsest solutions to Z-tensor complementarity problems”, Optimization Letters, Vol. 11(3), 471-482.
  90. 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)
  91. Shenglong Zhou, Naihua Xiu, Houduo Qi, “A Fast Matrix Majorization-Projection Method for Penalized Stress Minimization With Box Constraints”, IEEE Trans. Signal Processing, 2018, Vol. 66, No.16, 4331-4346.
  92. Jun Fan, Lingchen Kong, Liqun Wang, and Naihua Xiu, “Variable selection in sparse regression with quadratic measements”, Statistica Sinica, 2018, Vol. 28, 1157-1178.
  93. Shenglong Zhou, Naihua Xiu and Huoduo Qi, A fast matrix majorization-projection method for penalized stress minimization with box constraints, IEEE Transactions on Signal Processing, 66, 4331-4346, 2018
  94. 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)
  95. 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)
  96. 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)
  97. Chao Zhang, J. Wang and N. Xiu, Robust and sparse portfolio model for index tracking, J. Ind.  Manag. Optim. 15 (2019), 1001-1015.
  98. Chao Zhang, Q. Zhang, and Naihua Xiu, Solving the logit-based stochastic user equilibrium using modified projected conjugate gradient method via convex model, Pacific J. Optim. 15 (2019), 91-110.
  99. Ziyan Luo, Defeng Sun, KimChuan Toh, Naihua Xiu, "Solving the OSCAR and SLOPE Models Using a Semismooth Newton-Based Augmented Lagrangian Method", Journal of Machine Learning Research, 2019, Vol.20, 1-25.
  100. Shenglong Zhou, Naihua Xiu and Huoduo Qi, Robust euclidean embedding via EDM optimization, Mathematical Programming Computation, 12, 337–387, 2019.
  101. Chen Zhao, Ziyan Luo, Weiyue Li, Houduo Qi, Naihua Xiu. Lagrangian duality and saddle points for sparse linear programming. Science China Mathematics, 2019, 62: 2015-2032.
  102. Rui Wang, Naihua Xiu, and Chao Zhang, Greedy projected gradient-Newton method for large scale sparse logistic regression, IEEE Trans. Neural Learn Syst. 31 (2020), 527-538.
  103. 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)
  104. Xinrong Li,Naihua Xiu,Ziyan Luo,Some advances in low-rank matrix optimization, Operations Research Transactions, 24(2)(2020) 23–41 (In Chinese)
  105. Xinrong Li,Naihua Xiu, Shenlong Zhou . "Matrix Optimization Over Low-Rank Spectral Sets: Stationary Points and Local and Global Minimizers." Journal of Optimization Theory and Applications,184(3):895-930,2020.
  106. Hui Zhang, Lili Pan,Naihua Xiu. Optimality conditions for locally Lipschitz optimization with l0l0-regularization. Optimization Letters, 15, 189–203, 2021.
  107. Rui Wang, Naihua Xiu, Shenglong Zhou. An Extended Newton-type Algorithm for l2 Regularized sparse logistic regression and its efficiency for classifying large scale datasets. Journal of computational and applied mathematics, 397:113656.2021.
  108. Rui Wang, Naihua Xiu, Kim-Chuan Toh. Subspace Quadratic regularization method for group sparse multinomial Logistic Regression.Computational optimization and application, 79:531-559, 2021.
  109. Shenglong Zhou, Naihua Xiu and Huoduo Qi, Global and quadratic convergence of Newton hard-thresholding pursuit, Journal of Machine Learning Research, 22, 1−45, 2021.
  110. Chen Zhao, Naihua Xiu, Houduo Qi, Ziyan Luo. A Lagrange-Newton Algorithm for Sparse Nonlinear Programming. Mathemetical Programming, 2021. forthcoming.
  111. Huajun Wang, Yuanhai Shao, Shenglong Zhou, Ce Zhang and Naihua Xiu, Support vector machine classifier via L0/1 soft-margin loss, IEEE Transactions on Pattern Analysis and Machine Intelligence, 2021. forthcoming.
  112. Shenglong Zhou, Lili Pan, Naihua Xiu and Huoduo Qi, Quadratic convergence of smoothing Newton's method for 0/1 loss optimization, accepted by SIAM Journal on Optimization, 2021.  forthcoming.
  113. Shenglong Zhou, Lili Pan and Naihua Xiu, Newton method for L0-regularized optimization, Numerical Algorithms, 2021. forthcoming.

Monograph

  1. YiJu Wang, Naihua Xiu, Theory and method in Nonlinear optimization , Science Press, Jan 2012 (In Chinese) 
  2. JiYe Han, Nai Hua Xiu and Hou Duo Qi, “Theory and Algorithms for Nonlinear Complementarity Problems", Shanghai Publisher of Science and Technology, Jan., 2006 (In Chinese).
  3. Naihua Xiu,Ziyan Luo,Semidefinite Programming, Beijing Jiaotong University Press, June 2014 (In Chinese)