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
部门/实验室:系统科学研究所

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

出版信息

   
发表论文
(1) Numerical algorithms on the affine Grassmannian, SIAM Journal on Matrix Analysis and Applications, 2019, 第 3 作者
(2) Hankel tensor decompositions and ranks, SIAM Journal on Matrix Analysis and Applications, 2019, 第 2 作者
(3) Geometric distance between positive definite matrices of different dimensions, IEEE Transactions on Information Theory, 2019, 第 3 作者
(4) Fast structured matrix computations: tensor rank and Cohn-Umans method, Foundations of Computational Mathematics, 2018, 第 1 作者
(5) Inverse tensor eigenvalue problem, Communications in Mathematical Sciences, 2017, 第 1 作者
(6) Cohomology of Cryo- Electron Microscopy, SIAM Journal on Applied Geometry and Algebra, 2017, 第 1 作者
(7) New classes of matrix decompositions, Linear Algebra and its Applications, 2017, 第 1 作者
(8) Every matrix is a product of Toeplitz matrices, Foundations of Computational Mathematics, 2016, 第 1 作者
(9) Schubert varieties and distances between linear spaces of different dimensions, SIAM Journal on Matrix Analysis and Applications, 2016, 第 1 作者
(10) Multiplicities of eigenvalues of tensors, Communications in Mathematical Sciences, 2016, 第 2 作者
(11) Algorithms for structured matrix-vector product of optimal bilinear complexity, IEEE Information Theory Workshop, 2016, 第 1 作者
(12) On the geometry of tensor network states, Quantum Information and Computation, 2012, 第 3 作者
(13) The stabilizer of immanants, Linear Algebra and its Applications, 2011, 第 1 作者

学术报告

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

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

  • 张量分析及其应用研讨会,复旦大学(2018)

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

  • 多项式与张量优化学术研讨会,天津大学(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)

  • Scientific and Statistical Computing Seminar, Department of Statistics, University of Chicago, Chicago, Illinois, USA (2016)

  • AMS Special Session on Applied Algebraic Geometry, Fall Southeastern Sectional Meeting, North Carolina State University, Raleigh, North Carolina, USA (2016)

  • International Conference on Tensor, Matrix and Their Applications, Chern Institute, Nankai University, Tianjin, China (2016)

  • Applied Mathematics seminar, Peking University, Beijing, China (2016)

  • AMS Special Session on Tensor Decompositions and Secant Varieties, Joint Mathematics Meetings, Seattle, Washington, USA (2016)

  • Minisymposium on Matrix and Tensor Decompositions and Applications, SIAM conference on Applied linear algebra, Atlanta, Geogia, USA (2015)

  • Minisymposium on Aspects of Grassmann Manifolds With a view towards Applications, SIAM Conference on Applied Algebraic Geometry, National Institute for Mathematical Sciences, Daejeon, South Korea (2015)

  • Minisymposium on Tensor Decomposition: Ideals meet Applications, SIAM Conference on Applied Algebraic Geometry, National Institute for Mathematical Sciences, Daejeon, South Korea (2015)

  • Minisymposium on Spectral Theory of Tensors and Tensor Rank, SIAM Conference on Applied Algebraic Geometry, National Institute for Mathematical Sciences, Daejeon, South Korea (2015)

  • Plenary Speaker, Chicago Area SIAM Student Conference, Illinois Institute of Technology, Chicago, Illinois, USA (2015)

  • Computational Algebraic Geometry Seminar, University of California at Berkeley, Berkeley, California, USA (2014)

  • Algebraic Geometry Fellow's Seminar, Simons Institute, Berkeley, California,California, USA (2014)

  • AMS Sectional Meeting: Algebraic statistics, San Francisco State University, San Francisco, California, USA (2014)

  • NIMS thematic program: Applied algebraic geometry, Daejon, National Institute for Mathematical Sciences, South Korea (2014)

  • Colloquium, Auburn University, Auburn, Alabama, USA (2014)

  • SIAM Conference on Applied Algebraic Geometry, Fort Collins, Colorado, USA (2013)

  • ICTP Workshop: Geometry of matrix, The Abdus Salam International Centre for Theoretical PhysicsTrieste, Italy (2013)

  • MRC Workshop: Geometry and Representation Theory Related to Geometric Complexity and Other Variants of P v. NP, Snowbird, Salt Lake, Utah, USA (2012)

  • Applied algebra Seminar, Pennsylvania state University, University Park, Pennsylvania, USA (2012)

  • Mathematical Aspects of P v. NP and variants, The Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, Rhode Island,USA (2011)

  • SIAM Conference on Applied Algebraic Geometry, North Carolina State University, Raleigh, North Carolina, USA (2011)

  • Algebra and Combinatorics Seminar, Texas A&M University, College Station, Texas,USA (2009)


科研项目
( 1 ) 量子调控与量子信息重点专项, 参与, 国家级, 2018-05--2023-12
( 2 ) 与子空间相关的流形上的数值微分几何, 主持, 国家级, 2019-01--2021-12

合作情况

中国

支立红,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

Yang Qi, University of Chicago

Ken Sze-Wai Wong, University of Chicago

欧洲

Rodolphe Sepulchre, University of Cambridge

Pierre Comon, CNRS







指导学生