陈亮
Liang Chen, Ph.D.
职称/Position: 副教授/ Associate Professor
(博士研究生导师，信息与计算科学系副主任)
地址/Address: 湖南省长沙市湖南大学数学学院
School of Mathematics, Hunan University, Changsha 410082, P.R. China
办公室/Office: 417
Email: chl@hnu.edu.cn
主要研究方向/ Research Area
数学/数值优化，线性与非线性规划，凸优化，矩阵优化，统计优化，运筹学
Mathematical/Computational Optimization, especially Linear and Nonlinear Programming, Convex Programming, Matrix Optimization, Statistical Optimization, Operations Research
教育背景/Education
2005.9--2009.6 (B.S.) College of Mathematics and Econometrics, Hunan University
2009.9--2016.12 (Ph.D.) College of Mathematics and Econometrics, Hunan University
2013.8--2015.8 (Joint Ph.D., sponsored by CSC) Department of Mathematics, National University of Singapore
工作经历/Previous Positions
2017.9--2021.12 Assistant Professor, School of Mathematics, Hunan University, Changsha 410082, P.R. China
2017.2--2017.7 Research Fellow, Department of Mathematics, National University of Singapore (with Prof. Kim-Chuan Toh)
2017.9--2019.9 Postdoctoral Fellow, Department of Applied Mathematics, the Hong Kong Polytechnic University (with Prof. Defeng Sun)
主要学术论文/Representative Publications
[1] Liang Chen, Defeng Sun, and Kim-Chuan Toh: An efficient inexact symmetric Gauss-Seidel based majorized ADMM for high-dimensional convex composite conic programming, Mathematical Programming, 2017, 161(1): 237—270
[2] Liang Chen, Defeng Sun, and Kim-Chuan Toh: A note on the convergence of ADMM for linearly constrained convex optimization problems, Computational Optimization and Applications, 2017, 66(2): 327—343
[3] Yunhai Xiao, Liang Chen, and Donghui Li: A generalized alternating direction method of multipliers with semi-proximal terms for convex composite conic programming, Mathematical Programming Computation, 2018, 10(4): 533—555
[4] Liang Chen, Defeng Sun, and Kim-Chuan Toh: Some problems on the Gauss-Seidel iteration method in degenerate cases, Journal on Numerical Methods and Computer Applications, 2019, 40: 98—110 (in Chinese)
[5] Liang Chen, Defeng Sun, Kim-Chuan Toh, and Ning Zhang: A unified algorithmic framework of symmetric Gauss-Seidel decomposition based proximal ADMMs for convex composite programming, Journal of Computational Mathematics, 2019, 37: 739—757
[6] Xin-Yuan Zhao, Liang Chen: The linear and asymptotically superlinear convergence rates of the augmented Lagrangian method with a practical relative error criterion (Dedicated to Professor Minyi Yue on the occasion of his 100th birthday), Asia-Pacific Journal of Operational Research, 2020, 37(4): 2040001
[7] Liang Chen, Xiaokai Chang, and Sanyang Liu: A three-operator splitting perspective of a three-block ADMM for convex quadratic semidefinite programming and beyond (Dedicated to Professor Minyi Yue on the occasion of his 100th birthday), Asia-Pacific Journal of Operational Research, 2020, 37(4): 2040009
[8] Liang Chen, Anping Liao: On the convergence properties of a second-order augmented Lagrangian method for nonlinear programming problems with inequality constraints, Journal of Optimization Theory and Applications, 2020, 187: 248—265
[9] Liang Chen, Xudong Li, Defeng Sun, and Kim-Chuan Toh: On the equivalence of inexact proximal ALM and ADMM for a class of convex composite programming, Mathematical Programming, 2021, 185: 111—161
[10] Hailin Sun, Dali Zhang, Soon-Yi Wu, and Liang Chen: A modified exchange algorithm for distributional robust optimization and applications in risk management, International Transactions in Operational Research, 2022, 29(1): 130—157
[11] Liang Chen, Junyuan Zhu, and Xinyuan Zhao: Unified convergence analysis of a second-order method of multipliers for nonlinear conic programming, Science China Mathematics, 2022, 65: 2397—2422
科研课题/Research Grants
主持/PI:
1. 非线性锥约束优化问题二阶增广拉格朗日法的理论及实现，国家自然科学基金—面上项目 (12271150，46万元) 2013.01—2026.12
2. 青年科技（荷尖）人才，湖南省“三尖”创新人才工程项目 (2022RC1190，不低于50万元) 2022.09—2025.09
3. 图像处理中的鲁棒性建模与计算方法，国家重点研发计划“数学与应用研究”专项—青年科学家项目(子课题) (2021YFA001300，100万元) 2021.12—2026.11
4. 湖南大学青年教师托举计划 (20万元) 2020.1—2022.12
5. 一类含有双正则项的大规模凸约束优化问题的两阶段增广拉格朗日法，国家自然科学基金—青年基金 (11801158，24万元) 2019.01—2021.12（已结题）
6. 大规模一致性凸优化问题的分散及分布式计算，湖南省自然科学基金—青年基金(2019JJ50040，5万元) 2019.1—2021.12 （已结题）
7. 中央高校基本科研业务费 (湖南大学科研启动经费，25万元)，2018.01—2022.12
主研/Major Participant:
1. 非常规油藏模拟中的变分不等式模型与大规模并行算法的研究, 国家自然科学基金—面上项目 (11971006) 2021.1—2024.12
2. 不对称信息下基于社会化学习的实物众筹机制优化研究, 国家自然科学基金—面上项目 (72071074) 2021.1—2024.12
3. 低秩张量优化理论方法及应用研究, 国家自然科学基金—面上项目 (11971159) 2020.1—2023.12
4. 两类自对偶锥上的最大最小互补特征值问题研究, 国家自然科学基金—面上项目 (11871205) 2019.1—2022.12
会议报告/Conference Talks
1. Some Augmented Lagrangian Function Based Methods for Constrained Optimization, 中国工业与应用数学学会第十四届学术年会 (2016), 湘潭市
2. Implementation of an ADMM-type First-Order Method for Convex Composite Conic Programming, SIAM Conference on Applied Linear Algebra (2018), Hong Kong
3. A Unified Algorithmic Framework of Symmetric Gauss-Seidel Decomposition Based Proximal ADMMs for Convex Composite Programming, 中国运筹学会第十二届全国数学优化学术会议暨第六次数学规划分会代表大会 (2019), 南京市
4. On the Equivalence of Inexact Proximal ALM and ADMM for a Class of Convex Composite Programming, 2019年沪渝湘运筹学会联合年会, 上海市
5. Symmetric Gauss-Seidel Decomposition Based Proximal ADMMs for Convex Composite Programming: A Unified Algorithmic Framework and Computational Strategies, 中科院 2020运筹信息论坛(2020), 中国科学院数学与系统科学研究院，北京市(腾讯会议)
7. Symmetric Gauss-Seidel Decomposition Based Proximal ADMMs for Convex Composite Programming: A Unified Algorithmic Framework and Computational Strategies, 湖南省数学会2020年年会(大会报告)，永州市
8. A Unified Algorithmic Framework of Symmetric Gauss-Seidel Decomposition Based Proximal ADMMs for Convex Composite Programming, 2020大连理工大学矩阵优化优化会议，大连市
9. On the Asymptotically Consistent Linear Convergence Rate of the Randomized Sparse Kaczmarz Method中国工业与应用数学学会第十九届学术年会 (2021), 合肥市
10. An Efficient Proximal Difference-of-Convex Approach for Fitting the Sparse Envelope Model. 中国运筹学会数学规划分会第十三届数学优化大会(2021), 青岛市
11. Decomposition and Approximation Approaches for Large-Scale Convex Composite Programming, Part I-III, MatOpt Short Courses on Matrix Optimization and Applications (短期课程), 中科院数学与系统科学研究院/北京工业大学理学部数学科学系 (线上), 2022-1-14至2022-1-19, 北京市
12. A second-order method of multipliers, 湖南省数学前沿论坛(2022), 湘潭市
主要教授课程/Teaching
1. 运筹学(本)/Operations Research (for undergraduate students) [2019(Fall), 2020(Fall), 2021(Fall), 2022(Fall)]
2. 高等数值分析(硕)/Advanced Numerical Analysis (for graduate students) [2019(Fall), 2020(Fall), 2021(Fall), 2021(Fall), 2022(Fall)]
3. 变分分析(博)/Variational Analysis (for Ph.D. candidates) [2022(Fall)]
4. 矩阵反问题(硕)/Matrix Inverse Problems (for graduate students) [2020(Spring)]
5. 最优化与数值代数(博)/Optimization and Numerical Linear Algebra (for Ph.D. candidates) [2021(Spring), 2022(Spring)]
奖励荣誉/Prize and Honors
1. 湖南省计算数学与应用软件学会第一届青年优秀论文，二等奖，2015.12
2. 湖南省计算数学与应用软件学会第四届青年优秀论文，一等奖，2020.12
3. 湖南大学2021届本科毕业设计（论文）优秀指导教师，2021.6
学术活动/Academic Activities
湖南省运筹学会秘书长
湖南省计算数学与应用软件学会理事
美国数学会(AMS)评论员(Reviewer)
美国工业与应用数学学会(SIAM)会员
中国运筹学会会员
中国工业与应用数学学会会员
《Big Data and Artificial Intelligence》期刊编委
《Math. Program.》、《Math. Program. Comput.》、《SIAM J. Optim.》、《Sci. China Math.》、《J. Comput. Math.》、《J. Oper. Res. Soc. China》、《Comput. Optim. Appl.》、《Optim. Method Softw.》、《J. Global. Optim.》《Asia-Pac. J. Oper. Res.》、《Pac. J. Optim.》、《Optim. Lett.》、《Calcolo》、《J. Comput. Graph. Stat.》、《中国科学：数学》、《计算数学》、《数学物理学报》等运筹学、数学优化及计算数学方向主流期刊的审稿人
*Updated on Nov. 4, 2022
