Yunhai Xiao

Yunhai Xiao

Associate Professor, Ph.D.

Institute of Applied Mathematics

College of Mathematics and Information Science

Henan University, Kaifeng, 475000, P.R. China

Room: 2nd floor, Dr. Studio 2-6

E-mail: yhxiao@henu.edu.cn

Education

B.S., Computational Mathematics, Henan Normal University, 2001, Xinxiang
M.S., Applied Mathematics, Guangxi University, 2004, Nanning, Supervised by Prof. Zengxin Wei
Ph.D., Applied Mathematics, Hunan University, 2007, Changsha, Supervised by Prof. Dong-Hui Li
Post-Doctoral, Nanjing University, 2009.2--2010.12, Nanjing, Supervised by Prof. Bing-Sheng He
Post-Doctoral, National Center for Theoretical Sciences, 2011.1--2011.7,Taiwan,Supervised by Prof. Soon-Yi Wu

Research Interests

Numerical Optimization
Nonlinear Equations
Image Processing
Machine Learning

Research Grants

National Science Funndation of China (11001075), 2011.1 -- 2013.12, RMB 170,000￥.
Post-doctoral Foundation of China (20090461094), 2010.1 -- 2010.12, RMB 30,000￥.
Natural Science Foundation of Henan Province Eduction Department (2010B110004), 2010.1 -- 2012.12, RMB 10,000￥.

Selected Publications

Q.Hu, Y. Xiao and Y. Chen, An active set sequential quadratic programming algorithm for nonlinear optimization, Bulletin of the Australian Mathematical Society, 74 (2006), 69-84. (SCI)
Y. Xiao and Z. Wei, A new subspace limited memory BFGS algorithm for large-scale bound constrained optimization, Applied Mathematics and Computation, 185 (2007), 350-359. (SCI)
Y. Xiao and D.H. Li, An active set limited memory BFGS algorithm for large-scale bound constrained optimization, Mathematical Methods of Operations Research, 67 (2008), 443-454. (SCI)
Y. Xiao and H. Zhang, Modified subspace limited memory BFGS algorithm for large-scale bound constrained optimization, Journal of Computational and Applied Mathematics, 222 (2008),429-439. (SCI)
Y. Xiao, Z. Wei and Z. Wang, A Limited Memory BFGS-type method for large-scale unconstrained optimization, Computers & Mathematics with Applications, 56 (2008), 1001-1009. (SCI) (Numerical results for LBFGS, LBFGST, PRP+)
Y. Xiao and Q. Hu, Subspace Barzilai-Borwein gradient method for large-scale bound constrained optimization, Applied Mathematics and Optimization, 58 (2008), 275-290. (SCI)
W. Cheng, Y. Xiao and Q. Hu, A family of derivative-free conjugate gradient methods for large-scale nonlinear equations, Journal of Computational and Applied Mathematics, 224 (2009),11-19. (SCI)
Y. Xiao, H. Sun，and Z.Wang, A globally convergent BFGS method with nonmonotone line search for nonconvex minimization, Journal of Computational and Applied Mathematics, 230(2009),95-106. (SCI)
Q.Hu, W. Cheng and Y. Xiao, An improved active set feasible SQP algorithm for the solution of inequality constrained optimization problems, Journal of Computational Analysis and Applications, 11 (2009), 54-63. (SCI)
J.Zhang, Y. Xiao and Z. Wei, Nonlinear conjugate gradient-type methods with sufficient descent condition for large-scale unconstrained optimization, Mathematical Problems in Engineering. 16 pages, 2009. (SCI) (Numerical results of MDL, MLTW, PRP)
Z.Yu, J.Lin, J.sun and Y. Xiao, Spectral gradient projection method for monotone nonlinear equations with convex constraints, Applied Numerical Mathematics, 59(2009), 2416-2423. (SCI)
X.An, D.H.Li and Y. Xiao, Sufficiently descent directions in unconstrained optimization, Computational Optimization and Applications, 48 (2011), 515-532. (SCI)
Y. Xiao, Q. Wang and D. Wang, Notes on the Dai-Yuan-Yuan modified spectral gradient method, Journal of Computational and Applied Mathematics, 234 (2010), 2986-2992. (SCI) Results
J.Zhang, Y. Xiao and D. Zhou, A derivative-free method for nonlinear system of equations with global convergence, Journal of Computational Analysis and Applications, 13 (2011), 1319-1328. (SCI)
Y. Xiao, Q. Hu and Z. Wei, Modified active set projected spectral gradient method for bound constrained optimization, Applied Mathematics Modeling, 35 (2011), 3117-3127. (SCI)
Y. Xiao, T. Li and Z. Wei, Global convergence of a modified limited memory BFGS method for non-convex minimization, Acta Mathematicae Applicatae Sinica，accepted. (SCI)
M. Zhang, Y. Xiao and D. Zhou, A simple sufficient descent method for unconstrained optimization, Mathematical Problems in Engineering, 2010, artical ID: 684705, 9pages. (SCI)
K. Yin, Y. Xiao and M. Zhang, Nonlinear Conjugate Gradient Method for ℓ1-norm regularization Problems in Compressive Sensing, Journal of Computational Information Systems, 7 (2011), 880-885. (EI)
Y. Xiao, Q. Wang, and Q. Hu, Non-smooth equations based method for ℓ1-Norm problems with applications to compressed sensing, Nonlinear Analysis: Theory, Methods & Applications, DOI:doi:10.1016/j.na.2011.02.040, (SCI)
Y. Xiao and Z. Jin, An alternating direction method for linear constrained matrix nuclear norm minimization, Numerical Linear Algbra with Applications, In press. (SCI)

Recent Manuscripts

Y. Xiao, J. Yang, and X. Yuan, Fast Algorithms for Total Variation Image Reconstruction from Random Projections, available at http://arxiv.org/abs/1001.1774v1
Y. Xiao and H. Song, An Inexact Alternating Directions Algorithm for Constrained Total Variation Regularized Compressive Sensing Problems.
Y. Xiao, S.-Y. Wu and B. He, A Proximal Alternating Direction Method for ℓ21-Norm Least Squares Problem in Multi-Task Feature Learning.
Y. Xiao, H. Zhu, and S.-Y. Wu, Primal and Dual Alternating Direction Algorithms for ℓ1-ℓ1-Norm Minimization Problems in Compressive Sensing.
Y. Xiao and H. Song, A Modified Conjugate Gradient Algorithm with Cyclic Barzilai-Borwein Steplength for Unconstrained Optimization.
H. Zhu, Y. Xiao and S.-Y. Wu, A Smoothing Technique Based Conjugate Gradient Algorithm for ℓ1-norm Convex Minimization Problems in Compressive Sensing.

International Conferences Attended

The First International Conference on Nonlinear Programming with Applications (NPA2006), May 29 --- Jun 1, 2006, Fudan University, Shanghai, China.
The Second International Conference on Nonlinear Programming with Applications (NPA2008), April 7 ---9, 2008, Chinese Academy of Sciences, China.
The Fourth International Congress of Chinese Mathematicians, ICCM4, Dec. 17 -- 21,2007, Zhejiang University, China.

Reviewing and Refereeing

I have been a feferee for the following journals

Master Degree Students

Tingfeng Li, 2005.9 -- 2008.6 Zhengzhou Technical College
Huijuan Sun, 2005.9 -- 2008.6 Henan college of Finance & Taxation
Shaoyong Cui, 2005.9 -- 2008.6 The Third High School of Luohe
Yan Li, 2007.9 -- 2010.6 High School of Hebi
Huali Dou, 2007.9 -- 2010.6 The First High School of Shenqiu
Dangzhen Zhou, 2007.9 -- 2010.6 The Third High School of Zhoukou
Huina Song, 2009.9 --
Hong Zhu, 2009.9 --
Zhengfen Jin, 2009.9 --
Yanhong Li, 2009.9 --
Nan Shen, 2010.9 --
Lihong Liu, 2010.9 --