涂凯
  • 教育程度:博士及以上

  • 职称:助理教授

  • 电话:

  • 邮箱:kaitu@szu.edu.cn

  • 地址:汇星楼1412A

教程程度 博士及以上 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;
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 2021.08-2022.07 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 图像处理与鲁棒优化
获得荣誉 教学课程 数学分析
科研成果 <p>
Wanyu Wang, Fu-quan Xia, Kai Tu.<br>Inertial-type incremental constraint projection method for solving variational inequalities without Lipschitz continuity.<br>Numerical Algorithms, 89: 1769–1798, 2022<br><br>Kai Tu, Haibin Zhang, Huan Gao and Junkai Feng.<br>A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems<br>Journal of Global Optimization, 76: 665-693,  2020.<br><br>Kai Tu, Haibin Zhang and Fu-quan Xia.<br>A new alternating projection-based prediction–correction method for structured variational inequalities.<br>Optimization Methods and Software, 76: 665-693,  2020.<br><br><br>Kai Tu, Haibin Zhang, Huan Gao.<br>Stochastic proximal difference-of-convex algorithm with SPIDER for a class of nonconvex nonsmooth regularized problems.<br>Journal of Nonlinear and Convex Analysis, 1191-1208,  2020.<br><br>Huan Gao, Haibin Zhang, Zhibao Li and Kai Tu.<br>Optimality analysis on partial L1-minimization recovery.<br>Journal of Global Optimization,  34: 707-730, 2019.<br><br>Kai Tu, Fu-quan Xia and Jen-Chih Yao.<br>An iterative algorithm for solving generalized variational inequality problems and fixed point problems.<br>Applicable Analysis, 95: 209-225,  2016.<br><br>Kai Tu and Fu-quan Xia.<br>A projection-type algorithm for solving generalized mixed variational inequalities.<br>Acta Mathematica Scientia, 36: 1919-1630, 2016.</p>
科研项目 1.国家自然科学基金青年项目, 2022.1-2024.12, 30万, 多项正则非凸优化问题的随机DC算法研究 (主持)<br>2. 国家自然科学基金面上项目, 2023.1-2026.12, 45万, 非凸约束优化问题二阶算法及复杂度分析(参与)<br><br>

个人简介

男,1991年6月生, 中共党员. 主要研究兴趣为: 机器学习、图像处理、鲁棒优化等应用领域优化问题算法及其理论研究

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

  • 2021.08-2022.07 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

  • 图像处理与鲁棒优化

获得荣誉

教学课程

  • 数学分析

科研成果

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

    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, 76: 665-693,  2020.

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


    Kai Tu, Haibin Zhang, Huan Gao.
    Stochastic proximal difference-of-convex algorithm with SPIDER for a class of nonconvex nonsmooth regularized problems.
    Journal of Nonlinear and Convex Analysis, 1191-1208,  2020.

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

    Kai Tu, Fu-quan Xia and Jen-Chih Yao.
    An iterative algorithm for solving generalized variational inequality problems and fixed point problems.
    Applicable Analysis, 95: 209-225,  2016.

    Kai Tu and Fu-quan Xia.
    A projection-type algorithm for solving generalized mixed variational inequalities.
    Acta Mathematica Scientia, 36: 1919-1630, 2016.

科研项目

  • 1.国家自然科学基金青年项目, 2022.1-2024.12, 30万, 多项正则非凸优化问题的随机DC算法研究 (主持)
    2. 国家自然科学基金面上项目, 2023.1-2026.12, 45万, 非凸约束优化问题二阶算法及复杂度分析(参与)