涂凯
  • 教育程度:博士以上

  • 职称:助理教授

  • 电话:

  • 邮箱:kaitu@szu.edu.cn

  • 地址:汇星楼1412A

教程程度 博士以上 职称 助理教授
电话 邮箱 kaitu@szu.edu.cn
地址 汇星楼1412A 教育经历 2019.02-2020.05 加拿大西蒙菲沙大学 联培博士;</br>
2016.09-2020.07 北京工业大学 理学博士;</br>
2013.9-2016.6 四川师范大学 理学硕士;</br>
2009.9-2013.6 四川师范大学 理学学士;
工作经历 2022.10-2023.08 香港大学工业及制造系统工程系 博士后;</br>
2021.02-2022.07 香港理工大学应用数学系 博士后;</br>
2020.07-2022.12 四川师范大学 数学科学学院 讲师;
研究领域 最优化理论及其应用
获得荣誉 教学课程 本科课程: 数学分析,概率论与数理统计;数学实验;运筹学;
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研究生课程: 最优化
科研成果 Personal Homepage:  https://kaitu02.github.io/
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</br>
Preprints
</br>
</br>
[1] Chao-Jing Chao, Fu-Quan Xỉa, Kai Tu and Jian Lu. An improved random projection type algorithm for the multiple-sets split feasibility problem. Submitted, 2023.  
</br>
</br>
[2] Kai Tu, Zhi Chen, Man-Chung Yue. A Max-Min-Max Algorithm for Large-Scale Robust Optimization. Submitted, 2024.
</br>
</br>
Published Papers  
</br>
</br>
[1]  Zhichun Yang, Fu-quan Xia, Kai Tu and Man-Chung Yue. Variance Reduced Random Relaxed Projection Method for Constrained Finite-sum Minimization Problems. Accepted for publication in IEEE Transactions on Signal Processing, 2024.
</br>
</br>
[2] Xiaobo Li, Kai Tu and Jian Lu.  Convergence analysis of the DFP algorithm for unconstrained optimization problems on Riemannian manifolds. Optimization Letters, 2024, https:doi.org10.1007s11590-024-02103-2
</br>
</br>
[3] Zhichun Yang, Fu-quan Xỉa and Kai Tu. Variance reduced moving balls approximation method for smooth constrained minimization problems. Optimization Letters, 2023, https:doi.org10.1007s11590-023-02049-x
</br>
</br>
[4] Wanyu Wang, Fu-quan Xia and Kai Tu. Inertial-type incremental constraint projection method for solving variational inequalities without Lipschitz continuity. Numerical Algorithms, 2022, 89: 1769–1798.
</br>
</br>
[5] Kai Tu, Haibin Zhang, Huan Gao and Junkai Feng. A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems. Journal of Global Optimization, 2020, 76: 665-693.
</br>
</br>
[6] Kai Tu, Haibin Zhang and Fu-quan Xia. A new alternating projection-based prediction–correction method for structured variational inequalities. Optimization Methods and Software, 2020, 76: 665-693.
 </br>
</br>
[7] Huan Gao, Haibin Zhang, Zhibao Li and Kai Tu. Optimality analysis on partial L1-minimization recovery. Journal of Global Optimization, 2019, 34: 707-730.

科研项目 国家自然科学基金委员会,面上项目,非凸约束优化问题二阶算法及复杂度分析,2023-01-01 至 2026-12-31,在研,参与.
</br>
</br>
国家自然科学基金委员会,青年科学基金项目, 多项正则非凸优化问题的随机 DC 算法研究,2022-01-01 至 2024-12-31,30 万元,在研,主持

个人简介

教育经历

  • 2019.02-2020.05 加拿大西蒙菲沙大学 联培博士;
    2016.09-2020.07 北京工业大学 理学博士;
    2013.9-2016.6 四川师范大学 理学硕士;
    2009.9-2013.6 四川师范大学 理学学士;

工作经历

  • 2022.10-2023.08 香港大学工业及制造系统工程系 博士后;
    2021.02-2022.07 香港理工大学应用数学系 博士后;
    2020.07-2022.12 四川师范大学 数学科学学院 讲师;

研究领域

  • 最优化理论及其应用

获得荣誉

教学课程

  • 本科课程: 数学分析,概率论与数理统计;数学实验;运筹学;
    研究生课程: 最优化

科研成果

  • Personal Homepage: https://kaitu02.github.io/

    Preprints

    [1] Chao-Jing Chao, Fu-Quan Xỉa, Kai Tu and Jian Lu. An improved random projection type algorithm for the multiple-sets split feasibility problem. Submitted, 2023.

    [2] Kai Tu, Zhi Chen, Man-Chung Yue. A Max-Min-Max Algorithm for Large-Scale Robust Optimization. Submitted, 2024.

    Published Papers

    [1] Zhichun Yang, Fu-quan Xia, Kai Tu and Man-Chung Yue. Variance Reduced Random Relaxed Projection Method for Constrained Finite-sum Minimization Problems. Accepted for publication in IEEE Transactions on Signal Processing, 2024.

    [2] Xiaobo Li, Kai Tu and Jian Lu. Convergence analysis of the DFP algorithm for unconstrained optimization problems on Riemannian manifolds. Optimization Letters, 2024, https:doi.org10.1007s11590-024-02103-2

    [3] Zhichun Yang, Fu-quan Xỉa and Kai Tu. Variance reduced moving balls approximation method for smooth constrained minimization problems. Optimization Letters, 2023, https:doi.org10.1007s11590-023-02049-x

    [4] Wanyu Wang, Fu-quan Xia and Kai Tu. Inertial-type incremental constraint projection method for solving variational inequalities without Lipschitz continuity. Numerical Algorithms, 2022, 89: 1769–1798.

    [5] Kai Tu, Haibin Zhang, Huan Gao and Junkai Feng. A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems. Journal of Global Optimization, 2020, 76: 665-693.

    [6] Kai Tu, Haibin Zhang and Fu-quan Xia. A new alternating projection-based prediction–correction method for structured variational inequalities. Optimization Methods and Software, 2020, 76: 665-693.

    [7] Huan Gao, Haibin Zhang, Zhibao Li and Kai Tu. Optimality analysis on partial L1-minimization recovery. Journal of Global Optimization, 2019, 34: 707-730.

科研项目

  • 国家自然科学基金委员会,面上项目,非凸约束优化问题二阶算法及复杂度分析,2023-01-01 至 2026-12-31,在研,参与.

    国家自然科学基金委员会,青年科学基金项目, 多项正则非凸优化问题的随机 DC 算法研究,2022-01-01 至 2024-12-31,30 万元,在研,主持