应用数学研究所

一、研究所简介

应用数学研究所成立于2016年7月，是在原tyc131太阳集团城网址不确定问题的数学理论及应用、机器学习理论、图论与组合优化三个研究团队，以及计算数学等研究方向的基础上，通过凝练研究方向，整合研究队伍，形成的面向数学应用与计算的研究机构。研究所以实际问题中的数学理论研究为主，强化数学与信息科学的交叉研究，紧跟国际上相应领域的研究趋势，致力于人工智能、数据挖掘、大数据分析等国内外热点问题的研究。

研究所现有成员14人，其中教授2人，副教授5人，博士12人。近十年来，秉承勤奋、严谨、创新的精神，科研工作取得了长足的发展。主持国家自然科学基金项目7项，省级科研基金项目8项，其他校级项目10余项。发表SCI、EI收录的科研论文150余篇。

二、研究所负责人简介

孙红卫，男，1966年出生，博士、教授、硕士生导师，获济南大学师德标兵，济南大学优秀教师等荣誉称号。1984-1988年，浙江大学应用数学系，获理学学土；1988-1991年，浙江大学应用数学系，获理学硕士；2005-2008年，北京师范大学tyc131太阳集团城网址，获理学博士。2007年出访美国Duke大学统计系，2002-2015年间八次出访香港城市大学数学系。

主要从事机器学习理论方面的研究，主持国家自然科学基金面上项目两项，省自然科学基金两项、校级科研项目两项，参加其他国家自然科学基金，省自然科学基金、校级科研项目十余项。多次受邀参加国内与国际学术会议，并在香港城市大学、复旦大学、北京师范大学、中山大学等学校召开的学术会议上宣读研究报告。在机器学习理论中基于相关抽样的正则化算法、系数正则化算法、用积分算子估计的方法研究正则化算法等研究课题，取得了较好的研究成果，发表研究论文三十余篇，SCI收录论文二十余篇，其中四篇文章被他引超过40次，一篇入选SCI高引用率论文。SCI论文引用超过250次，他引超过200次。

三、研究所成员情况

四、研究方向介绍

1.不确定问题的数学理论及应用

2.机器学习理论

3.图论与组合优化

4. 数值计算

五、承担科研项目与获奖

六、代表性科研论文

[1] Hongwei Sun, Qiang Wu, Sparse Representation in Kernel Machines, IEEE Transactions on Neural Networks andLearning Systems, 2015,26(10): 2576-2582.

[2]Hongwei Sun, Qiang Wu, Least Square Regression with Indefinite Kernels and Coefficient Regularization, Applied and Computational Harmonic Analysis, 2011, 30: 96-109.

[3]Hongwei Sun, Qiang Wu, A note on application of integral operator in learning theory, Applied and Computational Harmonic Analysis, 2009, 26: 416–421.

[4] Yanyong Guan, Hongkai Wang, Set-valued information systems, Information Sciences, 2006, 176: 2507-2525.

[5] Yanyong Guan, Hongkai Wang, Yun Wang, Fang Yang, Attribute reduction and optimal decision rules acquisition for continuous-valued information systems, Information Sciences, 2009, 179: 2974-2984.

[6]Hongwei Sun, Qiang Wu, Regularized Least Square Regression with Dependent Samples, Advances in Computational Mathematics, 2010, 32: 175–189.

[7] Chuanbin Du, Dong Liang, An Efficient S-DDM Iterative Approach for Compressible Contamination Fluid Flows in Porous Media, Journal of Computational Physics, 2010, 229: 4501-4521.

[8]Tao Wang, Yuan-Ming Wang, A higher-order compact LOD method and its extrapolations for nonhomogeneous parabolic differential equations, Applied Mathematics and Computation, 2014,237 : 512-530.

[9]Caiqin Song,Guoliang Chen, Linlin Zhao,Iterative solutions to coupled Sylvester-transpose matrix equations,Applied Mathematical Modelling,2011, 35: 4675-4683.

[10]Hongwei Sun, Dingxuan Zhou, Reproducing kernel Hilbert spaces associated with analytic translation-invariant Mercer kernels, Journal of Fourier Analysis and Applications, 2008, 14(1):89-101.

[11]Hongwei Sun , Qiang Wu, Application of integral operator for regularized least-square regression, Mathematicaland Computer Modelling, 2009, 49(1-2): 276-285.

[12]Hongwei Sun, Qiang Wu,Indefinite Kernel Network with Dependent Sampling, Analysis and Applications, 2013, Vol. 11, No. 5, Article ID 1350020, 15 pages.

[13] Xiuyun Wang, Yanquan Feng. Tetravalent half-edge-transitive graphs and non-normal Cayley graphs, Journal of Graph Theory, 2012, 70(2): 197-213.

[14] Hongkai Wang, Yanyong Guan, Chunhua Yuan. Genetic algorithm for λ-optimal translation sequence of rough communication, Journal of Systems Engineering and Electronics, 2011, 22(4): 609-614.

[15] Hongkai Wang, Yanyong Guan, Lei Du. Information rough communication based on both-branch fuzzy set, Journal of Systems Engineering and Electronics, 2011, 22(2): 257-262.

[16] Hongkai Wang, Yanyong Guan. Rough communication of crisp concept in fuzzy approximation spaces. Journal of Systems Engineering and Electronics, 2009, 20(2): 327-331.

[17] Jihui Wang, Qiaoling Ma, Xue Han, Xiuyun Wang, A proper total coloring distinguishing adjacent vertices by sums of planar graphs without intersecting triangles, J. Comb. Optim., DOI 10.1007/s10878-015-9886-6.

[18] Jihui Wang, Qiaoling Ma, Xue Han. Neighbor sum distinguishing total colorings of triangle free planar graphs. Acta Mathematica Sinica, 2015, 31(2): 216-224.

[19] Jihui Wang, Jiansheng Cai, Qiaoling Ma, Neighbor Sum Distinguishing Total Choosability of Planar Graphs without 4-Cycles, Discrete Applied Mathematics，2016，206：215-219.

[20]Tao Wang, Yuan-Ming Wang, A Compact LOD Method and its Extrapolation for Two-dimensional Modified Anomalous Fractional Sub-diffusion Equations, Computers and Mathematics with Applications, 2016, 71: 147-170.

[21]Xiuyun Wang,Yanquan Feng, Jinxin Zhou,Jihui Wang, Qiaoling Ma.Tetravalent half-arc-transitive graphs of order a product of three primes.Discrete Mathematics, 2016, 339(5): 1566-1573.

[22]Caiqin Song, Jun-e Feng, Jianli Zhao, A new technique for solving continuous Sylvester-conjugate matrix equation, Transactions of the Institute of Measurement and Control, 2014, 36(8): 946 –953.

[23] Bin Chen, Soft semi-open sets and related properties in soft topological spaces, Applied Mathematics andInformation Sciences, 2013, 7(1): 287-294.

[24] Bin Chen, Some local properties of soft semi-open sets, Discrete Dynamics in Nature and Society, Volume 2013, Article ID 298032, 6 pages.

[25] Liyun Zuo, Yanren Hou, A two-grid decoupling method for the mixed Stokes-Darcy model, Journal of Computational and Applied Mathematics, 2015, 275:139-147.

[26] Liyun Zuo, Yanren Hou, A decoupling two-grid algorithm for the mixed Stokes-Darcy model with the Beavers-Joseph interface condition, Numerical Methods for Partial Differential Equations, 2014, 30: 1066-1082.

[27] Liyun Zuo, Yanren Hou, Numerical analysis for the mixed Navier-Stokes and Darcy problem with the Beavers-Joseph interface condition, Numerical Methods for Partial Differential Equations, 2015, 31: 1009-1030.

[28]孟庆芳,陈珊珊,陈月辉,冯志全. “基于递归量化分析与支持向量机的癫痫脑电自动检测方法”.物理学报,2014, 63(5): 050506.

[29]孟庆芳,陈月辉,冯志全,王枫林,陈珊珊. “基于局域相关向量机回归模型的小尺度网络流量的非线性预测”.物理学报, 2013, 62 (15): 150509.