韩德仁

    

韩德仁

    

教授

所属系别

统计与运筹学系

学科专业

最优化理论、算法与应用

办公地点

主楼305

办公电话

电子邮件

handr@buaa.edu.cn

教育背景

    200211200410, 新加坡-MIT学术联盟(SMA),博士后.

    1997920027,南京大学数学系,获博士学位.

    1993919977,南京大学数学系,获学士学位.

工作简历

    201712-目前,北京航空航天大学数学与系统科学学院,教授、博导;

    20116–201712,南京师范大学数科院,教授、博导;

    20147-20149,香港科技大学土木工程系,访问学者;

    20146-20147,南洋理工大学土木及环境科学系,访问教授;

    20137-20139,香港浸会大学数学系,访问学者;

    20076–20089,香港理工大学数学系,访问学者;

    20056–,南京师范大学数科院,副教授;

    20029–20055,南京师范大学数科院,讲师;

    200211–200410,新加坡-MIT学术联盟(SMA),博士后;

 

科研项目

l      国家杰出青年基金:  非线性规划理论与方法,245,  20171202112。(11625105

l      国家自然科学基金:  “大规模稀疏优化问题的理论与算法”,参加(3/7),280,  20151201912。(11431002

l      国家自然科学基金:  “广义Nash均衡问题的分解算法研究及应用”,主持人,62,  20141201712。(11371197

l      国家自然科学基金:  “张量分解与最优化及其在信息处理中的应用”,第一参加人,43万,20121201412

l      国家自然科学基金:  “解微分变分不等式问题的数值方法及动态交通平衡问题”,主持人,33,  20111201312.  11071122

l      教育部博士点基金:“张量分解和多项式优化:算法和应用”,第一参加人,  6,  20111201312

l      江苏省自然科学基金:  “大规模科学计算及其在医疗、管理和大气科学中的应用”,  8万,主持人,  2009.09–2011.12,

l      江苏省自然科学基金:  “子空间分类集成和数据不平衡问题研究”,  8万,第二参加人,  2008.09–2010.12,

l      江苏省自然科学基金:  “非线性最优扰动方法在数值天气预报中的应用”,  8万,第四参加人,  2008.09–2010.12,

l      国家自然科学基金:  “解大型非线性规划,非线性半定规划和变分不等式的过滤集型方法的研究”,  第一参加人,27万,2009.01–2011.12.

l      教育部留学回国基金:  “基于信息的求解变分不等式问题的算法和应用”,  主持人,2.5,  2007.01 –2009.12.

l      国家自然科学基金青年基金:  “解变分不等式问题的一些简单数值方法和网络平衡问题”,主持人,15,  20061200812.10501024

l      江苏省自然科学基金:  “大规模优化问题的高性能算法”,  主持人,  6,  20064200812.

发表论文

1. Fan, Jiang, Deren Han, and  Xiaofei Zhang, A Trust-Region-Based  Alternating Least-Squares Algorithm  for Tensor Decompositions”,Journal  of Computational Mathematics 36(3) (2018) 351-372.

2. Zhili Ge, Deren Han, Qin Ni,  and David Z.W. Wang, An operator  splitting method for monotone variational inequalities with a new  perturbation strategy”,Optimization Letters  12 (2018) 103122.

3.  Zhongming Wu, Min Li,  David Z. W. Wang, Deren Han, “A symmetric alternating direction method of  multipliers for separable nonconvex minimization problems”, Asia-Pacific  Journal of Operational Research, 34, 1750030 (2017) [27 pages]

4. Xiaoliang Dong, Deren Han,  Reza Ghanbari, Xiangli Li, and Zhifeng Dai,Some  new three-term Hestenes-Stiefel conjugate gradient methods with affine  combination”,Optimization 66(5) (2017)  759-776.

5. Ke Guo, Deren Han, and  Xiaoming Yuan, Convergence Analysis of  Douglas-Rachford Splitting Method for ``Strongly + Weakly" Convex  Programming”,SIAM Journal on Numerical  Analysis 554)(20171549-1577.

6. Ke Guo, Deren Han, and  Tingting Wu, Convergence of alternating  direction method for minimizing sum of two nonconvex  functions with  linear constraints”, International  Journal of Computer Mathematics 94 2017  1653-1669.

7. Ke Guo, Deren Han, David  Zhiwei Wang, and Tingting Wu, Convergence of ADMM  for multi-block nonconvex separable optimization models”,Frontier  of Mathematics in China 12 (5) (2017) 1139-1162.

8. Yuhong Dai, Deren Han,  Xiaoming Yuan, and Wenxing Zhang, “A sequential updating scheme of Lagrange  multiplier for separable convex programming”, Mathematics of Computation 86  (2017) 315-343.

9. Xingju Cai, Deren Han, and  Xiaoming Yuan, On the convergence of the  direct extension of ADMM for three-block separable convex minimization models  with one strongly convex function”,Computational  Optimization with Applications 66 (2017) 39-73.

10. Zehui JiaXingju  Cai, and Deren Han, Comparison of  Several Fast Algorithms for Projection onto an Ellipsoid”,  Journal of Computational and Applied Mathematics 319 (2017) 320-337.

11. Deren Han, Zehui Jia,  Yongzhong Song, and David Zhiwei Wang, An efficient  projection method for nonlinear inverse problems with sparsity constraints”,  Inverse Problems and Imaging 10 (3)  (2016) 689-709.

12. 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.

13. 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.

14. 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.

15. Tingting Wu, Deren Han, and  Yi Xu, “Cross-Hill: a heuristic method for global optimization”, Applied  Mathematics and Computation 266(1) (2015) 959-967.

16. 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.

17. Hongjin He, Xinju Cai, and  Deren Han, “A fast splitting method tailored for Dantzig selector”,  Computational Optimization with Applications 62(2) (2015) 347-372.

18. 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.

19. 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.

20. 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.

21. 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.  

22. 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.

23. 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.

24. 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

25. 卫婴婴,徐玲玲,韩德仁,“惩罚框架下求解广义纳什均衡的分解算法”,中国科学44(3)(2014) 295-305.

26. 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.

27. 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.

28. 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.

29. Deren Han, Xiaoming Yuan, Local  linear convergence of the alternating direction method of multipliers for  quadratic programs, SIAM Journal on  Numerical Analysis 516)(201334463457.

30. 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.

31. Deren Han and Liqun Qi, “A  successive approximation method for quantum separability”, Frontiers of  Mathematics of China 8(6) (2013) 1275-1293..

32. 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.

33. 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.

34. 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.

35. 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.

36. Lingling Xu and Deren Han,  “A proximal alternating direction method for weakly coupled variational  inequalities”, Pacific Journal of Optimization 9 (1) (2013) 155-166.

37. 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.

38. 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.

39. 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.

40. 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.

41. 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.

42. 张敏,韩德仁,何洪津,陈艳男,“解可分离结构变分不等式的一种新的交替方向法”,中国科学422)(2012133-149.

43. 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.

44. Suoliang Jiang, Deren Han,  and Xiaoming Yuan, “Efficient neural networks for solving variational  inequalities”, Neurocomputing 86 (2012) 97-106.

45. 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.

46. 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.

47. 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.

48. 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.

49. 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 5920115888-5898.

50. Hongjin He, Hongchao Zhang,  and Deren Han, “An improved self-adaptive method for solving variational  inequalities”, Advanced Modeling and Optimization 13 (2011) 277-289.

51. 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.

52. 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.

53. 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.

54. Xiaolei Wang,  Hai  Yang, and Deren Han, “Traffic rationing and short-term and long-term  equilibrium”,  Transportation Research Record 2196 (2010)  131-141.  

55. 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.

56. 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 62010299-313.

57. 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 62010211-226.  

58. 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.

59. 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.

60. Deren Han, Liqun Qi, and  Huihui Dai, “Conditions for strong ellipticity of anisotropic elastic  materials”, Journal of Elasticity 97 (2009) 1-13.

61. 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.

62. Liqun Qi, Huihui Dai, and  Deren Han, “Conditions for strong ellipticity and M-eigenvalues”, Frontiers  of Mathematics in China 4 (2009) 349-364.

63. 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.

64. 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.

65. Deren Han and Hai Yang,  “Congestion pricing in the absence of demand functions”, Transportation  Research Part E 45 (2009) 159-171.

66. Liqun Qi, Deren Han, and Ed  X. Wu, “Principal invariants and inherent parameters of diusion kurtosis  tensors”, Journal of Mathematical Analysis & Applications 349 (2009)  165-180.

67. Deren Han, Wei Xu, and Hai  Yang, “An operator splitting method for variational inequalities with  partially unknown mappings”, Numerische Mathematik 111 (2008) 207-237.

68. Deren Han, “A generalized  proximal point based prediction-correction method for variational inequality  problems”, Journal of Computational and Applied Mathematics 221 (2008)  183-193.

69. Deren Han, Liqun Qi, and Ed  X. Wu, “Extreme diffusion values for non-Gaussian diffusions”, Optimization  Methods and Software 23 (2008) 703-716.

70. 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.

71. 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.

72. 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.

73. Hai YangDeren  Han, and Hong K. Lo, Efficiency of atomic  splittable selfish routing with polynomial cost functions,  Networks and Spatial Economics 8 (2008) 443-451.

74. 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.

75. 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.

76. 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.

77. 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.

78. 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.

79. 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.

80. Feng Xiao, Hai Yang, and  Deren Han, “Competition and efficiency of private toll roads”, Transportation  Research Part B 41 (2007) 292-308.

81. Deren Han, Solving  linear variational inequality problems by a self-adaptive projection method,  Applied Mathematics and Computation, 182200617651771.  

82. Deren Han, “A new class of  projection and contraction methods for solving variational inequality  problems”, Computers and Mathematics with Applications, 51(2006) 937-950.

83. 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.

84. 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.  

85. 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.

86. Deren Han, “A truly  globally convergent feasible Newton-type method for mixed complementarity  problems”, Journal of Computational Mathematics, 22(2004) 347-360.

87. 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.

88. Deren Han and Hong K. Lo,  “A descent algorithm for minimizing the regularized gap function”,  Mathematical Methods of Operations Research, 58 (2003) 259-269.

89. Deren Han, “A proximal  decomposition algorithm for variational inequality problems”, Journal of  Computational and Applied Mathematics, 161 (2003) 231-244.

90. Deren Han and Wenyu Sun,  “New decomposition methods for solving variational inequality problems”,  Mathematical and Computer Modelling 37 (2003) 405-418.

91. Deren Han, “A new hybrid  generalized proximal point algorithm for variational inequality problems”,  Journal of Global Optimization 26 (2003) 125-140.

92. 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.

93. 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.

94. Deren Han, “A modified  alternating direction method for variational inequality problems”, Applied  Mathematics and Optimization 45 (2002) 63-74.

95. 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.

96. 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.

97. 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.

98. Deren Han and Bingsheng He,  “A new accuracy criterion for approximate proximal point algorithms”, Journal  of Mathematical Analysis and Applications 263 (2001) 343-354.

教学活动

获得奖励

l         江苏省科技进步二等奖,  参加者(2006). 

l      中国运筹学会青年科技奖二等奖(2010).

l      大型复杂问题科学计算问题的理论、算法与应用研究,江苏省科技进步二等奖,  参加者(2015).

社会工作

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