基本信息

叶科  男  博导  中国科学院数学与系统科学研究院
电子邮件: keyk@amss.ac.cn
通信地址: 中关村东路55号思源楼
邮政编码: 100190

​其他:googlesites, google scholar

研究领域

代数及几何工具在各个领域中的应用,包括张量计算,流形上的优化算法,多重线性系统的计算复杂度问题以及线性方程组的快速解法。

教育背景

2007-09--2012-08   Texas A&M University   博士
2003-09--2007-08   四川大学   学士学位

工作经历


2017-08~现在, 中科院数学与系统科学研究院,副研究员

2015-09~2017-07, University of Chicago, 博士后

2012-09~2015-08, University of Chicago, L. E. Dickson Instructor


论文发表

   
已发表论文(期刊)

已发表论文(会议)


预印本

  • (with S. L . Hu) When geometry meets optimization theory: partially orthogonal tensors, 2022, submitted. (arXiv)
  • (with J. T. Yang and L. H. Zhi) Computing sparse Fourier sum of squares on finite abelian groups in quasi-linear time, 2022, submitted. (arXiv)
  • (with Z. H. Lai and  L.-H. Lim) Simpler Grassmannian optimization, 2021, submitted. (arXiv)
  • (with L.-H. Lim) Tensor network states ranks, 2021, in progress. (arXiv)
  • (with S. L. Hu) Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations, 2020, submitted. (arXiv)
  • (with M. Niu and P. Cheung) Heat kernel and intrinsic Gaussian processes on manifolds, 2019, submitted. (arXiv)
  • (with T. R. Gao and L.-H. Lim) Semi-Riemannian manifold optimization, 2019, in progress. (arXiv)
  • (with J. W. Nie and L. H. Zhi) Tensor decompositions on algebraic varieties, 2017, in progress. (arXiv)

学术活动


邀请报告(2017年--现在)

    • Minisymposium on Algebra and Geometry of Tensors: structured tensors, SIAM Conference on Applied Algebraic geometry, College Station, Texas, USA (2021)

    • Minisymposium on Linear Algebra and Differential Geometry, 2021 SIAM Conference on Applied Linear Algebra, New Orleans, Louisana, USA (2021)

    • Data Science Seminar, Mathematical Institute, Orxford University, Oxford, UK (2021)

    • Minisymposium on Tensors, 2019 SIAM Conference on Applied Algebraic Geometry, Bern, Switzerland (2019)

    • Minisymposium on Numerical Differential Geometry, 2019 SIAM Conference on Applied Algebraic Geometry, Bern, Switzerland (2019)

    • Computational and Applied Mathematics Colloquium, University of Chicago, Chicago, Ilinois, USA (2018)

    • Session on Polynomial and Tensor Optimization, 23rd Minisymposium on Mathematical Programming, University of Bordeaux, Bordeaux, France (2018)

    • Minisymposium on Geometry of Tensors, 2018 SIAM Annual Meeting, Oregon Convention Center, Portland, Oregon, USA (2018)

    • 7 th International Conference on Computational Harmonic Analysis, Nashville, Tennessee, USA (2018)

    • Minisymposium on Tensor Analysis, Computation, and Applications, SIAM Conference on Applied Linear Algebra, HongKong, China (2018)

    • The 2017 Korea-China International Conference on Matrix Theorem and Application, Sungkyunkwan university, Suwon, Korea (2017)

    • Minisymposium on Tensors: From Algebra to Applications, SIAM Conference on Applied Algebraic Geometry, Atlanta, Georgia, USA (2017)

    • Minisymposium on Geometry and Computational Challenges in Data Science, SIAM Annual Meeting, David Lawrence Convention Center, Pittsburgh, Pennsylvania, USA (2017)

    • 2017 Meeting of the International Linear Algebra Society, Iowa State University, Ames, Iowa, USA (2017)

    • Algebra Seminar, School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia, USA (2017)

    • Householder Symposium XX on Numerical Linear Algebra, the Inn at Virginia Tech, Blacksburg, Virginia, USA (2017)

    • Colloquium, Department of Mathematics, University of Minnesota--Twin Cities, Minneapolis, Minnesota, USA (2017)

    • Applied Algebra Seminar, Department of Mathematics, University of Wisconsin--Madison, Madison, Wisconsin, USA (2017)

    • Optimization Seminar, Department of Mathematics, University of California at San Diego, La Jolla, California, USA (2017)


    合作情况

    中国

    支丽红,中科院数学与系统科学研究院

    胡胜龙,杭州电子科技大学

    美国

    Lek-Heng Lim, University of Chicago

    Jiawang Nie, University of Berkeley at San Diego

    Joseph M. Landsberg, Texas A&M University

    Ken Sze-Wai Wong, University of Chicago

    Tingran Gao, University of Chicago

    欧洲

    Rodolphe Sepulchre, University of Cambridge

    Pierre Comon, CNRS

    Yang Qi, CMAP, Ecole Polytechnique

    Mu Niu, University of Glasgow







    指导学生

    现指导学生

    王愚  硕士研究生  070104-应用数学  

    刘鹏  博士研究生  070104-应用数学  

    科研项目

    • 华为敞口项目,基于流形的数据压缩和传输算法,72万, 课题负责人,2021.11--2022.10
    • 华为敞口项目,通信中的结构矩阵乘法,64万, 课题负责人,2021.06--2022.05
    • 中国科学院稳定支持基础研究领域青年团队(10人),1500万,课题组成员,2021.06--2026.06
    • ​海外高层次人才引进计划青年项目(优先支持),300万,课题负责人,2018.01--2021.12
    • 国家重点研发计划,隐私保护数据处理的数学方法,课题组成员,2021.01--2025.12
    • 科技部重点专项,数据智能安全核心数学问题的高效算法及其应用,480万,课题组成员,2019.09--2021.12
    • 国家自然科学基金青年项目,与子空间相关的流形上的数值微分几何, 26万, 课题负责人, 2019.01--2021.12
    • 科技部重点专项,量子调控与量子信息重点, 200万,课题组成员,2018.05--2022.12

    获得荣誉

    • 中国科学院数学与系统科学研究院“陈景润未来之星”,2021.01
    • 中国科学院数学与系统科学研究院系统所关肇直青年研究奖,2017.12