
个人简介:张弦,女,侗族,理学博士,校聘副教授。主要研究方向:最优化理论与方法,包括非光滑优化、稀疏优化、低秩优化、统计优化、大数据分析、机器学习等。在Comput. Optim. Appl.、J. Global Optim.、中国科学-数学等国内外数学期刊上发表论文多篇。主要教授课程:《概率论与数理统计》、《运筹学》、《高等代数选讲》、《随机过程》等。
代表性论文:
[1]Xian Zhang, Dingtao Peng*, Yanyan Su. A singular value shrinkage thresholding algorithm for folded concave penalized low-rank matrix optimization problems. Journal of Global Optimization, 2024, 88(2): 485-508.
[2]Dingtao Peng*,Xian Zhang, Shouyu Yi. Singular value half thresholding algorithm for l_p (0<p<1) regularized matrix optimization problems. Scientia Sinica Mathematica, 2024, 54(8): 1023-1140. 彭定涛*,张弦,易守鱼. Lp(0<p<1)正则矩阵优化问题的奇异值半阈值算法.中国科学:数学,2024,54(8):1023-1140.
[3]Xian Zhang, Dingtao Peng*. Solving constrained nonsmooth group sparse optimization via group Capped-l1 relaxation and group smoothing proximal gradient algorithm. Computational Optimization and Applications, 2022, 83(3): 801-844.
[4]Qingqing Wu, Dingtao Peng*,Xian Zhang. Continuous exact relaxation and alternating proximal gradient algorithm for partial sparse and partial group sparse optimization problems. Journal of Scientific Computing, 2024, 100: 20, 1-35.
[5]Huiling Shen, Dingtao Peng*,Xian Zhang. Smoothing composite proximal gradient algorithm for sparse group Lasso problems with nonsmooth loss functions. Journal of Applied Mathematics and Computing, 2024, 70(3): 1887-1913.
[6]苑文丽,张弦*.两个二维多参数绝对值优化问题解的等价性.运筹与模糊学, 2023, 13(2): 859-876.
[7]彭定涛*,唐琦,张弦.组稀疏优化问题精确连续Capped-L1松弛.数学学报, 2022, 65(2): 243-262.
[8]罗孝敏,彭定涛*,张弦.基于MCP正则的最小一乘回归问题研究.系统科学与数学, 2021, 41(8): 2327-2337.