謝亞君 教授


謝亞君  博士  

教授  碩/博導  

學校郵箱:xyj@fzfu.edu.cn

 

學歷

2015 計算數學博士,福建師範大學,中國

2009 基礎數學碩士,福建師範大學,中國

2002 應用數學學士,福建農林大學,中國

 

現任

福州外語外貿學院 大數據學院 副院長

福州外語外貿學院 數據科學與智能計算重點實驗室主任

 

曾任教科目

機器學習、深度學習、數值分析、數據可視化技術、運籌學、概率論與數理統計、線性代數、高等數學

 

研究方向

最優化算法、機器學習與圖像處理、數值代數、矩陣與張量方程

 

研究及出版

Books

机器学习算法(MATLAB版),科学出版社,2021,北京.

最优化方法及其PYTHON程序实现,电子工业出版社,2023年,北京.

数字图像处理(MATLAB版),电子工业出版社,2022年,北京.

Refereed Journal Articles

1. Yajun Xie, Changfeng Ma, Qingqing Zheng, On the nonlinear matrix equation X^s+A^HF(X)A=Q,AIMS Mathematics,2023, 8(4), 1-17. (SCI)

2. Yajun Xie, Yifen Ke, Finite iterative (R,S)-conjugate solutions of the generalized complex coupled Sylvester-transpose equations, Journal of Applied Analysis and Computation,2021,11(1):309–332. (SCI)

3. Yajun Xie, Yifen Ke, Neural network approaches based on new NCP-functions for solving tensor complementarity problem, Journal of Applied Mathematics and Computing,2021(67):833-853. (SCI)

4. Yajun Xie, Minhua Yin, Changfeng Ma, Novel accelerated methods of tensor splitting iteration for solving multi- systems, AIMS Mathematics, 2020, 5(3): 2801-2812.(SCI)

5. Yajun Xie, Minhua Yin, Limin Ren, Krylov subspace methods of  Hessenberg based for algebraic Riccati equation, Journal of Applied Analysis and Computation, 2020, 10(3):1047-1059(SCI)

6. Yajun Xie, Changfeng Ma, A modifified SSOR iterative method for a class of block two-by-two linear systems. ScienceAsia , 2019, 45: 187-193. (SCI)

7. Baohua Huang, Yajun Xie*, Changfeng Ma, Krylov subspace methods to solve a class of tensor equations via the Einstein product. Numerical Linear Algebra with Applications, 2019, 26(4): e2254.(SCI)

8. Yajun Xie, Changfeng Ma, A relaxed two-step splitting iteration method for computing PageRank. Computational and Applied Mathematics, 2018, 37:221-233.(SCI)

9. Yajun Xie, Changfeng Ma, An accelerated gradient based iterative algorithm for solving the generalized Sylvester-transpose matrix equation. Applied Mathematics and Computation, 2016, 273: 1257-1268.(SCI)

10. Yajun Xie, Changfeng Ma, A modified positive-definite and skew-Hermitian splitting preconditioner for generalized saddle point problems from the Navier-Stokes equation. Numerical Algorithms, 2016, 72:243–258. (SCI)

11. Yajun Xie, Changfeng Ma, Matrix iterative methods to solve the generalized coupled Sylvester-conjugate linear matrix equations. Applied Mathematical Modelling, 2015, 39(16): 4895-4908.(SCI)

12. Yajun Xie, Changfeng Ma, The scaling conjugate gradient iterative method for two types of linear matrix equations. Computers and Mathematics with Applications, 2015(70):1098-1113.(SCI)

13. Yajun Xie, Changfeng Ma, A generalized Newton method of high-order convergence for solving the large-scale linear complementarity problem. Journal of Inequalities and Applications, 2015, 410: 1025-5834.(SCI)

14. Yajun Xie, Na Huang, Changfeng Ma, Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix. Computers and Mathematics with Applications, 2014, 67: 2071-2084.(SCI)

15. Yajun Xie, Yifen Ke, Changfeng Ma, The modified accelerated Bregman method for regularized basis pursuitproblem. Journal of Inequalities and Applications, 2014, 130(1):1-18. (SCI)

16. Yajun Xie, Changfeng Ma, Iterative method to solve the generalized coupled Sylvester-conjugate linear matrix equations for centrally symmetric (centrally anti-symmetric) matrix. Journal of Applied Mathematics, 2014, Article ID 5158161-17.(SCI)

17. Yajun Xie, Changfeng Ma, A smoothing Levenberg–Marquardt algorithm for solving a class of stochastic linear complementarity problem, Applied Mathematics and Computation, 2011, 217(19):4459-4472.(SCI)

18. Na Huang, Yajun Xie, Changfeng Ma, An inexact relaxed DPSS preconditioner for saddle point problem. Applied Mathematics and Computation, 2015, 265: 431-447.(SCI)

19. Na Huang, Yajun Xie, Changfeng Ma, The Derivative-Free Double Newton Step Methods for Solving System of Nonlinear Equations, Mediterranean Journal of Mathematics, 2016, 13: 2253-2270.(SCI)

20. Jia Tang, Yajun Xie, Changfeng Ma, A modified product preconditioner for indefinite and asymmetric generalized saddle-point matrices, Applied Mathematics and Computation, 2015, 268: 303-310.(SCI)

21. Jia Tang, Yajun Xie*,The generalized conjugate direction method for solving quadratic inverse eigenvalue problems over generalized skew Hamiltonian matrices with a submatrix constraint, AIMS Mathematics, 2020 5(4): 3664–3681.(SCI)

22. Jing Ning, Yajun Xie*, Jie Yao, Efficient splitting methods for solving tensor absolute value equation. Symmetry, 2022, 14(2): 387. (SCI)

23. Baohua Huang, Yajun Xie*, Structure preserving subspace methods for the general coupled discrete-time periodic matrix equation and its application in antilinear periodic system. International Journal of Computer Mathematics, 2023, 100(2):453–477. (SCI)

24.  Baohua Huang, Changfeng Ma, Yajun Xie, An efficient iterative method for solving quadratic inverse eigenvalue problem over hermitian centroskew matrices with a submatrix constraint. Pacific Journal of Optimization,2022,18(3),601-624. (SCI)

25. Yifen Ke, Changfeng Ma, Zhigang Jia, Yajun Xie, Riwei Liao, Quasi Non-Negative Quaternion Matrix Factorization with Application to Color Face Recognition. Journal of Scientific Computing, 2023, 95:38. https://doi.org/10.1007/s

10915-023-02157-x (SCI)

26. Hai Ye, Yajun Xie, The Composite Grid Method for Singular Problems of Partial Differential Equations, Mathematics 2023, 11(15), 3385. (SCI)

27. 谢亚君,叶福兰,一种正则化非负张量分解算法及其新的有效加速策略,应用数学,2024, 37(1): 100-114.CSCD

28. 谢亚君,张量分裂可行域问题的有效投影迭代,应用数学,2023, 36(2): 454-463.CSCD

29. 谢亚君,求解大型最小二乘问题的混合贪婪随机坐标下降法,计算数学,2023, 45(2):230-239.CSCD

30. 谢亚君马昌凤,源于自由边值离散的弱非线性互补问题的m+1阶收敛性算法,数学物理学报,2022, 42A(5) :1506-1516CSCD

31. 谢亚君,一类基于Halley-Newton型的有效修正算法,数学物理学报,2021, 41A(4): 1066-1078.CSCD

32. 谢亚君,姚洁,马昌凤,求解无约束优化问题的Aitken 加速算法,高校应用数学学报,2021, 36(4): 481-491. (CSCD)

33. 谢亚君,马昌凤,求解Einstein-积张量方程的混合贪婪随机坐标下降法,数值计算与计算机应用,2021, 42(4): 1-14.

34. 谢亚君马昌凤,盒子型区域上变分不等式的一个光滑牛顿法数学季刊,2012(01):156-162. (CSCD)

35. 谢亚君,马昌凤,求解一类随机线性互补问题的L-M算法,福建师范大学学报(自然科学版)2013, 29(3):7. (CSCD)

36. 谢亚君马昌凤,求解非线性规划问题的光滑牛顿法,福建师范大学学报(自然科学版)2011, 27(5):6. (CSCD)

37. 范斌,马昌凤,谢亚君,求解非线性互补问题的一类光滑 Broyden-like 方法,计算数学,2013, 35(2): 181-194.CSCD

38. 黄娜,马昌凤,谢亚君,求解非对称代数 Riccati 方程几个新的预估-矫正法,计算数学,2013, 35(4): 401-418.CSCD

39. 黄娜,马昌凤,谢亚君,一类 Hermitian 鞍点矩阵的特征值估计,计算数学,2015, 37(1): 92-102. CSCD

40. 马昌凤,谢亚君,求解张量绝对值方程的非精确LM方法,河南师范大学学报 (自然科学版)2023, 51(1): 1-7.  (北核)

41. 马昌凤,谢亚君*,求解张量绝对值方程的两步非精确Levenberg-Marquardt算法, 山西大学学报 (自然科学版)2023,46(03): 585-591.  (北核)

42. 马昌凤,谢亚君,求解张量绝对值方程基于连续时间的神经网络方法,高等学校计算数学学报,202345(1) :84-96. CSCD

43. 马昌凤,谢亚君*,利用对称正交逼近求解对称张量的MSOA算法, 应用数学学报,2023,46(5):751-767.CSCD

44. 曾姣艳,林思涛,谢亚君,曾美艳,基于改进型EfficientNet模型的木薯病害识别方法研究.西南大学学报(自然科学版),2024,46(06):197-208.CSCD

45. 马昌凤,柯艺芬,谢亚君*,广义★-Sylvester矩阵方程的重新表述[J/OL]. 山西大学学报(自然科学版)2024. (北核)

 

科研项目

  1. 国家自然科学基金面上项目,12371378,基于随机化非负张量分解与补全的超光谱医学图像处理, 2024/01-2027/12, 43.5万,在研,主持。
  2. 福建省自然科学基金面上项目,2023J011127,超光谱医学图像处理中随机化非负张量分解算法研究,2023/08-2026/08, 5万,在研,主持。
  3. 福建省自然科学基金面上项目,2019J01879,基于非负张量分解与填充的图像处理及超光谱数据分析,2019/06-2022/06, 5万元,已结题,主持。
  4. 2017年省教育厅高校“新世纪优秀人才培养计划”,大规模矩阵方程快速迭代算法及并行和预处理技术研究,2017/06-2020/06, 6万元,已结项,主持。
  5. 2017年省教育厅高校学科带头人赴海外访学项目,数值线性代数在图像处理中的应用,2017/03-2018/03, 15万,已结题,主持。
  6. 福建省自然科学基金面上项目,2015J01578,基于凸优化技术的低秩矩阵恢复与填充的快速算法研究,2015/04-2018/04,3万元,已结题,主持。
  7. 福建省教育厅JK项目,JK2013060,压缩感知及相关算法研究,2013/01-2015/12,3万元,已结题,主持。
  8. 省教育厅高校“杰青”培养计划,基于高性能计算平台的广义Sylvester 矩阵方程快速迭代算法研究,2015/05-2018/05,4万元,已结题,主持。
  9. 国家自然科学基金面上项目,11071041,随机变分不等式与互补问题的迭代算法研究,2011/01-2013/12,25万元,已结题,主要参与。
  10. 国家林业与草原局重点研发项目,三角梅规范命名及快速识别算法系统研究,2021/12-2023/12, 25万元,已结题,主要参与。

 

學術獎項

  1. 第十二届福州市自然科学优秀论文一等奖, 2020
  2. 第十三届福建省自然科学优秀论文三等奖, 2018
  3. 第十二届福建省自然科学优秀论文二等奖, 2016
  4. 高等教育省级教学成果奖二等奖,2022

 

專業屬會

  1. 至今  福建省人工智能学会  常务理事
  2. 至今  福建省运筹学学会  监事长

 

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