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Faculty

Deren Han Professor

Bio: 

Educational Background

  • Ph.D., Computational Mathematics, Nanjing University (2002)
  • BA., Computational Mathematics, Nanjing University (1997)

 

Professional Experiences 

  • Professor, May 2011―,Department of Mathematics, Nanjing Normal University, Nanjing, 210023
  • Associate Professor, May 2005―May 2011,Department of Mathematics, Nanjing Normal University, Nanjing, 210023
  • Assistant Professor, May 2002―May 2005,Department of Mathematics, Nanjing Normal University, Nanjing, 210023
  • Visiting Professor, January 2016—February 2016, School of Civil and Environment Engineering, Nanyang Technological University, Singapore
  • Visiting Scholar, July 2015-September 2015, Department of Mathematics, The Hong Kong Baptist University, Hong Kong
  • Visiting Scholar, June 2015-July 2015, Academy of Mathematics and Systems Science (AMSS), Chinese Academy of Sciences (CAS), Beijing, China.
  • Research Fellow, February 2007-May 2007, Department of Mathematics, The City University of Hong Kong.
  • Research Associate, December 2005---February 2006, Department of Civil                 Engineering, Hong Kong University of Science and Technology.
  • Research Associate, July 2005---September 2005, Department of Civil                  Engineering, Hong Kong University of Science and Technology.
  • Research Associate, January 2005---February 2005, Department of Civil                  Engineering, Hong Kong University of Science and Technology.
  • Research Fellow, November 2002----October 2004, Singapore-MIT Alliance, Singapore.
  • Visiting Student, January, 2002---February 2002, Microsoft Research Asia,                   Beijing, China.
  • Research Assistant, June 2001---September 2001, Department of Civil                  Engineering, Hong Kong University of Science and Technology.
  • Research Assistant, November 2000---February 2001, Department of Civil                  Engineering, Hong Kong University of Science and Technology.
  • Research Assistant, February 2000---May 2000, Department of Civil Engineering, Hong Kong University of Science and Technology.

 

Research

Research Interests

Ø Numerical Optimization

Ø Image Processing

Ø Variational Inequalities

Ø Transportation Research  

Ø Tensor Decompositions and Applications

 

Journal Articles

  1. Yuhong Dai, Deren Han, Xiaoming Yuan, and Wenxing Zhang, “A sequential updating scheme of Lagrange multiplier for separable convex programming”, Mathematics of Computation, to appear
  2. Yannan Chen, Yuhong Dai, and Deren Han, “Fiber orientation distribution estimation using a Peaceman-Rachford splitting method”, SIAM Journal on Imaging Sciences 9(2) (2016) 573-604.
  3. Weihong Yang and Deren Han, “Linear convergence of alternating direction method of multipliers for a class of convex optimization problems”, SIAM Journal on Numerical Analysis 54(2)(2016) 625-640.
  4. Hongjin He and Deren Han, “A distributed Douglas-Rachford splitting method for multi-block convex minimization problems”, Advances in Computational Mathematics 42(1) (2016) 27-53.
  5. Tingting Wu, Deren Han, and Yi Xu, “Cross-Hill: a heuristic method for global optimization”, Applied Mathematics and Computation 266(1) (2015) 959-967.
  6. Qun Wang, Xingju Cai, and Deren Han, “A limited-memory projection method for variational inequality problems”, Pacific Journal of Optimization 11(4) (2015) 705-719.
  7. Hongjin He, Xinju Cai, and Deren Han, “A fast splitting method tailored for Dantzig selector”, Computational Optimization with Applications 62(2) (2015) 347-372.
  8. Hongjin He, Xinju Cai, and Deren Han, “A class of nonlinear proximal point algorithms for variational inequality problems”, Journal of Computer Mathematics 92 (7) (2015) 1385-1401.
  9. Fan Sha, Deren Han, and Weijun Zhong, “Bounds on price of anarchy on linear cost functions”, Journal of Industrial and Management Optimization 11(4) (2015) 1165-1173.
  10. Deren Han, Weiwei Kong, and Wenxing Zhang, “A partial splitting augmented Lagrangian method for low patch-rank image decomposition”, Journal of Mathematical Imaging and Vision 51(1) (2015) 145-160.
  11. Xiaolei Wang, Hai Yang, Deren Han, Wei Liu, “Trial-and-error method for optimal tradable credit schemes: The network case”, Journal of Advanced Transportation 48 (2014) 685-700. 
  12. Deren Han, Xiaoming Yuan,  Wenxing Zhang, “An augmented-Lagrangian-based parallel splitting method for separable convex minimization with applications to image processing”, Mathematics of Computation 83 (2014) 2263-2291.
  13. Wenxing Zhang, Deren Han, Suoliang Jiang, “A modified alternating projection based prediction-correction method for structured variational inequalities”, Applied Numerical Mathematics 83 (2014) 12-21.
  14. Deren Han, Hongjin He, Hai Yang, Xiaoming Yuan, “A customized Douglas-Rachford splitting algorithm for separable convex minimization with linear constraints”, Numerische Mathematik127 (2014) 167-200
  15. Deren Han, Jie Sun, and Marcus Ang, “New bounds for the price of anarchy under nonlinear and asymmetric costs”, Optimization 63(2) (2014) 271-284.
  16. Kai Wang, Lingling Xu, Deren Han, “A new parallel splitting descent method for structured variational inequalities”, Journal of Industrial and Management Optimization 10(2) (2014) 461-476.
  17. Deren Han, Hongjin He, Lingling Xu, “A proximal parallel splitting method for minimizing sum of convex functions with linear constraints”, Journal of Computational and Applied Mathematics 256 (2014) 36-51.
  18. Deren Han, Xiaoming Yuan, “Local linear convergence of the alternating direction method of multipliers for quadratic programs”, SIAM Journal on Numerical Analysis 51(6)(2013)3446–3457.
  19. Xingju Cai, Deren Han, and Lingling Xu, “An improved first-order primal-dual algorithm with a new correction step”, Journal of Global Optimization 57(4) (2013) 1419-1428.
  20. Deren Han and Liqun Qi, “A successive approximation method for quantum separability”, Frontiers of Mathematics of China 8(6) (2013) 1275-1293..
  21. Kai Wang, Deren Han, and Lingling Xu, “A parallel splitting method for separable convex programs”, Journal of Optimization Theory and Applications 159 (2013) 138–158.
  22. Yannan Chen, Yuhong Dai, Deren Han, and Wenyu Sun, “Positive semidefinite generalized diffusion tensor imaging via quadratic semidefinite programming”, SIAM Journal on Imaging Sciences 6 (2013) 1531-1552.
  23. Hongjin He, Deren Han, Wenyu Sun, Yannan Chen, “A hybrid splitting method for variational inequality problems with separable structure”, Optimization Methods and Software 28 (2013) 725-742.
  24. Xiao Ding and Deren Han, “A modification of the forward-backward splitting method for maximal monotone mappings”, Numerical Algebra, Control and Optimization 3(2013) 295-307.
  25. Lingling Xu and Deren Han, “A proximal alternating direction method for weakly coupled variational inequalities”, Pacific Journal of Optimization 9 (1) (2013) 155-166.
  26. Deren Han, Xiaoming Yuan, Wenxing Zhang, and Xingju Cai, “An ADM-based splitting method for separable convex programming”, Computational Optimization with Applications 54(2) (2013) 343-369.
  27. Gang Qian, Deren Han, Hai Yang, and Lingling Xu, “Solving non-additive traffic assignment problems: A self-adaptive projection-auxiliary problem method for variational inequalities”, Journal of Industrial and Management Optimization 9 (1) (2013) 255-274.
  28. Zhibao Li, Deren Han, and Wenxing Zhang, “A self-adaptive projection-type method for nonlinear multiple-sets split feasibility problem”, Inverse Problems in Science & Engineering 21(1) (2013) 155-170.
  29. Xingju Cai, Yannan Chen, and Deren Han, “Nonnegative tensor factorizations using an alternating direction method”, Frontiers of Mathematics of China 8(1) (2013) 3-18.
  30. Cuixia Cao, Deren Han, and Lingling Xu, “A new partial splitting augmented Lagrangian method for minimizing the sum of three convex functions”, Applied Mathematics and Computation 219 (2013) 5449-5457.
  31. Wenxing Zhang, Deren Han, and Xiaoming Yuan, “An efficient simultaneous method for the constrained multiple-sets split feasibility problem”, Computational Optimization and Applications, 52(3) (2012) 825-843.
  32. Suoliang Jiang, Deren Han, and Xiaoming Yuan, “Efficient neural networks for solving variational inequalities”, Neurocomputing 86 (2012) 97-106.
  33. Deren Han and Xiaoming Yuan, “A note on the alternating direction method of multipliers”, Journal of Optimization Theory and Applications 155(1) (2012) 227-238.
  34. Hongjin He, Deren Han, and Zhibao Li, “Some projection methods with the BB step sizes for variational inequalities”, Journal of Computational and Applied Mathematics 236 (2012) 2590-2604.
  35. Min Zhang, Deren Han, Gang Qian, and Xihong Yan, “A new decomposition method for variational inequalities with linear constraints”, Journal of Optimization Theory and Applications, 152 (2012) 675-695.
  36. Deren Han, Hongchao Zhang, Gang Qian, and Lingling Xu, “An improved two-step method for solving generalized Nash equilibrium problems”, European Journal of Operational Research 216 (2012) 613-623.
  37. Yannan Chen, Deren Han, and Liqun Qi, “New ALS methods with extrapolating search directions and  optimal step size for complex-valued tensor decompositions”, IEEE Transaction on Signal Processing 59(2011)5888-5898.
  38. Hongjin He, Hongchao Zhang, and Deren Han, “An improved self-adaptive method for solving variational inequalities”, Advanced Modeling and Optimization 13 (2011) 277-289.
  39. Zhili Ge, Gang Qian, and Deren Han, “Global convergence of an inexact operator splitting method  for monotone variational inequalities”, Journal of Industrial and Management Optimization 7 (2011) 1013-1026.
  40. Deren Han and Xiaoming Yuan, “Existence of anonymous link tolls for decentralizing an oligopolistic game and the efficiency analysis”, Journal of Industrial and Management Optimization 7 (2011) 347-364.
  41. Deren Han, Hai Yang and Xiaolei Wang, “Efficiency of the plate-number-based traffic rationing in general networks”, Transportation Research Part E 46 (2010) 1095–1110.
  42. Xiaolei Wang,  Hai Yang, and Deren Han, “Traffic rationing and short-term and long-term equilibrium”,  Transportation Research Record 2196 (2010) 131-141.   
  43. Deren Han, Wei Xu and Hai Yang, “Solving a class of variational inequalities with inexact oracle operators”, Mathematical Methods of Operations Research 71 (2010) 427–452.
  44. Deren Han, Hai Yang and Xiao-Ming Yuan, “A practical trial-and-error implementation of marginal-cost pricing on networks”, Journal of Industrial and Management Optimization 6(2010)299-313.
  45. Deren Han, Hong K. Lo, Jie Sun and Hai Yang, “Second-order cone reformulation and the price of anarchy of a robust Nash-Cournot game”, Pacific Journal of Optimization 6(2010)211-226.
  46. Gang Qian, Deren Han and Hongjin He, “Congestion control with pricing in the absence of demand and cost functions: An improved trial and error method”, Journal of Industrial and Management Optimization 6 (2010) 103-121.
  47. Wenxing Zhang, Deren Han, and Zhibao Li, “A self-adaptive projection method for solving the multiple-sets split feasibility problem”, Inverse Problems, 25 (2009) 115001 (16pp). doi: 10.1088/0266-5611/25/11/115001.
  48. Deren Han, Liqun Qi, and Huihui Dai, “Conditions for strong ellipticity of anisotropic elastic materials”, Journal of Elasticity 97 (2009) 1-13.
  49. Zhili Ge and Deren Han, “Self-adaptive implicit methods for monotone variant variational inequalities”, Journal of Inequalities and Applications, vol. 2009, Article ID 458134, 20 pages, 2009. doi:10.1155/2009/458134.
  50. Liqun Qi, Huihui Dai, and Deren Han, “Conditions for strong ellipticity and M-eigenvalues”, Frontiers of Mathematics in China 4 (2009) 349-364.
  51. Xihong Yan, Deren Han, and Wenyu Sun, “A modified projection method with a new direction for solving variational inequalities”, Applied Mathematics and Computation 211 (2009) 118-129.
  52. Wenxing Zhang and Deren Han, “A new alternating direction method for co-coercive variational inequality problems”, Computers and Mathematics with Applications 57 (2009) 1168-1178.
  53. Deren Han and Hai Yang, “Congestion pricing in the absence of demand functions”, Transportation Research Part E 45 (2009) 159-171.
  54. Liqun Qi, Deren Han, and Ed X. Wu, “Principal invariants and inherent parameters of diffusion kurtosis tensors”, Journal of Mathematical Analysis & Applications 349 (2009) 165-180.
  55. Deren Han, Wei Xu, and Hai Yang, “An operator splitting method for variational inequalities with partially unknown mappings”, Numerische Mathematik 111 (2008) 207-237.
  56. Deren Han, “A generalized proximal point based prediction-correction method for variational inequality problems”, Journal of Computational and Applied Mathematics 221 (2008) 183-193.
  57. Deren Han, Liqun Qi, and Ed X. Wu, “Extreme diffusion values for non-Gaussian diffusions”, Optimization Methods and Software 23 (2008) 703-716.
  58. Xihong Yan, Deren Han, and Wenyu Sun, “A self-adaptive projection method with improved step-size for solving variational inequalities”, Computers and Mathematics with Applications 55 (2008) 819-832.
  59. Deren HanHong K. Lo, and Hai Yang, “On the price of anarchy for non-atomic congestion games under asymmetric costs with elastic demand”, Computers and Mathematics with Applications 56 (2008) 2737-2743.
  60. Deren Han, “A hybrid entropic proximal decomposition method with self-adaptive strategy for solving variational inequality problems”, Computers and Mathematics with Applications 55 (2008) 101-115.
  61. Hai Yang,Deren Han, and Hong K. Lo, “Efficiency of atomic splittable selfish routing with polynomial cost functions”, Networks and Spatial Economics 8 (2008) 443-451.
  62. Deren Han and Hai Yang, “The multi-class, multi-criterion traffic equilibrium and the efficiency of congestion pricing”, Transportation Research Part E 44 (2008) 753-773.
  63. Deren Han, Hong K. Lo, Jie Sun, and Hai Yang, “The toll effect on price of anarchy with nonlinear and asymmetric costs”, European Journal of Operational Research 186 (2008) 300-316.
  64. Deren Han, “On the coerciveness of some merit functions for complementarity problems over symmetric cones”, Journal of Mathematical Analysis and Applications 336 (2007) 727-737.
  65. Deren Han, Hong K. Lo and Zhiwei Wang, “A simple self-adaptive alternating direction method for linear variational inequality problems”, Computers and Mathematics with Applications 53 (2007) 1595-1604.
  66. Zhong Zhou, Anthony Chen, and Deren Han, “An extended alternating direction method for varaitional inequality problems with linear equality and inequality constraints”, Applied Mathematics and Computation 184 (2007) 769-782.
  67. Deren Han, “Inexact operator splitting methods with self-adaptive strategy for variational inequality problems”, Journal of Optimization Theory and Applications 132 (2) (2007) 227-243.
  68. Feng Xiao, Hai Yang, and Deren Han, “Competition and efficiency of private toll roads”, Transportation Research Part B 41 (2007) 292-308.
  69. Deren Han, “Solving linear variational inequality problems by a self-adaptive projection method”, Applied Mathematics and Computation, 182(2006)1765-1771.
  70. Deren Han, “A new class of projection and contraction methods for solving variational inequality problems”, Computers and Mathematics with Applications, 51(2006) 937-950.
  71. Deren Han, Xun Li, Jie Sun, and Defeng Sun, “Bounding Option Prices of Multi-Asset: A Semidefinite Programming Approach”, Pacific Journal of Optimization 1 (2005) 59-79.
  72. Deren Han and Wenyu Sun, “A new modified Goldstein-Levitin-Polyak projection method for variational inequality problems”, Computers and Mathematics with Applications, 47(2004)1817-1825.
  73. Deren Han and Hong K. Lo, “Solving non-additive traffic assignment problems: A descent method for co-coercive variational inequalities”, European Journal of Operational Research 159 (2004) 529-545.
  74. Deren Han, “A truly globally convergent feasible Newton-type method for mixed complementarity problems”, Journal of Computational Mathematics, 22(2004) 347-360.
  75. Deren Han and Hong K. Lo, “Solving variational inequality problems with linear constraints by a proximal decomposition algorithm”, Journal of Global Optimization, 28 (2004) 97-113.
  76. Deren Han and Hong K. Lo, “A descent algorithm for minimizing the regularized gap function”, Mathematical Methods of Operations Research, 58 (2003) 259-269.
  77. Deren Han, “A proximal decomposition algorithm for variational inequality problems”, Journal of Computational and Applied Mathematics, 161 (2003) 231-244.
  78. Deren Han and Wenyu Sun, “New decomposition methods for solving variational inequality problems”, Mathematical and Computer Modelling 37 (2003) 405-418.
  79. Deren Han, “A new hybrid generalized proximal point algorithm for variational inequality problems”, Journal of Global Optimization 26 (2003) 125-140.
  80. Bingsheng He, Lizhi Liao, Deren Han and Hai Yang, “A new inexact alternating direction method for monotone variational inequalities”, Mathematical Programming 92 (2002) 103-118.
  81. Deren Han and Hong K. Lo, “A new alternating direction method for a class of nonlinear variational inequality problems”, Journal of Optimization Theory and Applications 112 (2002) 549-560.
  82. Deren Han, “A modified alternating direction method for variational inequality problems”, Applied Mathematics and Optimization 45 (2002) 63-74.
  83. Deren Han and Hong K. Lo, “A new stepsize rule in He and Zhou's alternating direction method”, Applied Mathematics Letters 15 (2002) 181-185.
  84. Bingsheng He, Hai Yang, Qiang Meng, and Deren Han, “Modified Goldstein-Levitin-Polyak projection method for asymmetric strongly monotone variational inequalities”, Journal of Optimization Theory and Applications 112 (2002) 129-143 2002.
  85. Deren Han and Hong K. Lo, “Two new self-adaptive projection methods for variational inequality problems”, Computers and Mathematics with Applications 43 (2002) 1529-1537.
  86. Deren Han and Bingsheng He, “A new accuracy criterion for approximate proximal point algorithms”, Journal of Mathematical Analysis and Applications 263 (2001) 343-354.

 

Honors and Awards

  • 2010, Young Researchers for Operations Research
  • 2015, Jiangsu Sciences and Technologies

 

Academic Title

Associate Editor, Mathematica Numerica Sinaca

 

Contact 

Phone:+86-25-85891380-8513