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
电话号码：010-82541356
其他：zbMATH profile, googlesites, google scholar, ORCID
研究领域
研究方向为应用代数与应用几何，关注的问题涵盖数值线性代数、张量计算、流形优化、复杂度理论及极值组合等领域。
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--至今, 中科院数学与系统科学研究院，副研究员
2015--2017, University of Chicago, 博士后
2012--2015, University of Chicago, L. E. Dickson Instructor
学术兼职
2026开始，Linear Algebra and its Applications, 编委
2023--至今，SIAM Journal on Applied Algebra and Geometry, 编委
论文发表
最近接收/发表
Z. H. Lai, L.-H. Lim and K. Ye, Euclidean distance degree in manifold optimization, SIAM Journal on Optimization, 2025, 35(4), pp. 2402-2422. (arXiv)
- Z. H. Lai, L.-H. Lim and K. Ye, Simple matrix expressions for the curvatures of Grassmannian, Foundations of Computational Mathematics, 2025, accepted. (arXiv)
- L.-H. Lim and K. Ye, Degree of the Grassmannian as an affine variety, Advances in Mathematics, 2025, Volume 480, Part A, 110459. (arXiv) [证明了Grassmannian作为实仿射代数簇的次数公式，该公式的特殊情况解决了Devriendt-Friedman-Reinke-Sturmfels猜想]
- Q. Y. Chen and K. Ye, Stability of ranks under field extensions, Discrete Analysis, 2025, accepted. (arXiv) [讨论了各种张量秩在域扩张下的稳定性，解决了张量空间slice秩的Adiprasito-Kazhdan-Ziegler稳定性猜想，并证明了若干重要猜想的等价性]
Z. H. Lai, L.-H. Lim and K. Ye, Grassmannian optimization is NP-hard, SIAM Journal on Optimization, 2025, 35(3), pp. 1939-1962. (arXiv)
2025
- Q. Y. Chen and K .Ye, Isotropy and completeness indices of multilinear maps. (arXiv)
- Q. Y. Chen, H. Liu and K. Ye, Extremal constructions for apex partite hypergraphs. (arXiv)
- J. T. Yang, K. Ye and L. H. Zhi, Sparse sum of Hermitian squares in group algebras of finite groups. (arXiv)
- Q. Y. Chen and K. Ye, Bounds for geometric rank in terms of subrank. (arXiv)
- L. X. Wang and K. Ye, An estimate for positive definite functions on finite abelian groups and its applications. (arXiv)
- S. L. Hu and K. Ye, Generic linear convergence for algorithms of non-linear least squares over smooth varieties. (arXiv)
- L.-H. Lim, X. Lu and K. Ye, Special orthogonal, special unitary, and symplectic groups as products of Grassmannians. (arXiv)
2024
- Q. Y. Chen and K. Ye, A quasi-optimal lower bound for skew polynomial multiplication, In Proceedings of the 49th International Symposium on Symbolic and Algebraic Computation (ISSAC '24), pp. 74-81. (arXiv) [证明了斜多项式乘法的拟最优下界，合作者陈琦元获得Distinguished Student Author Award]
- Z. Dai, L.-H Lim and and K. Ye, Complex matrix inversion via real matrix inversions, Numerische Mathematik, 2024, 156, pp. 2179-2219. (arXiv)
- Q. Y. Chen, J. Uhlmann and K. Ye, Generalizing Frobenius inversion to quaternion matrices, Numerical Algorithms, 2024, 97, pp. 101-116. (arXiv)
- Q. L. Huang, X. S. Gao and K. Ye, Skew-sparse matrix multiplication, Journal of Symbolic Computation, 2024, 121, 102240. (arXiv)
- J. T. Yang, K. Ye and L. H. Zhi, Computing sparse Fourier sum of squares on finite abelian groups in quasi-linear time, Applied and Computational Harmonic Analysis, 2024, 73, 101686. (arXiv)
- J. Y. Lu and K. Ye, The Cayley transform on representations. (arXiv)
- Y. Wang and K. Ye, The sparseness of g-convex functions. (arXiv)
- Z. J. Li and K. Ye, Rational curvers on real classical groups. (arXiv)
- L.-H. Lim and K. Ye, Simple matrix models for the flag, Grassmann, and Stiefel manifolds. (arXiv)
- L.-H. Lim and K. Ye, Minimal equivariant embeddings of the Grassmannian and flag manifold. (arXiv)
- K. Ye, M. Niu, P. Cheung, Z. W. Dai and Y. Liu, Intrinsic Gaussian processes on manifolds and their accelerations by symmetry. (arXiv)
2023
- J. T. Yang, K. Ye and L. H. Zhi, Lower bounds of functions on finite abelian groups, In: Wu, W., Tong, G. (eds) Computing and Combinatorics. COCOON 2023. Lecture Notes in Computer Science, vol 14423.
- S. L. Hu and K. Ye, Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations, Mathematical Programming (Series A), 2023, 199, pp. 1305-1364. (arXiv) [解决了低秩正交张量逼近问题APD算法的Chen-Saad收敛性问题]
- P. Liu and K. Ye, Bundle-based similarity measurement for positive semidefinite matrices. (arXiv)
2022
- K. Ye, S. W. Wong and L.-H. Lim, Optimization on flag manifolds, Mathematical Programming (Series A), 2022, 194(1-2), pp. 621-660. (arXiv)
- Z. H. Lai, L.-H. Lim and K. Ye, Simpler flag optimization. (arXiv)
- K. Ye and S. L . Hu, When geometry meets optimization theory: partially orthogonal tensors. (arXiv)
2021
- L.-H. Lim, S. W. Wong and K. Ye, The Grassmannian of affine subspaces, Foundations of Computational Mathematics, 2021, 21, pp. 537-574. (arXiv)
2020
- P. Comom, L.-H. Lim, Y. Qi and K. Ye, Topology of tensor ranks, Advances in Mathematics, 2020, 367, 107128. (arXiv)
- L.-H. Lim and K. Ye, Ubiquity of the exponent of matrix multiplication, In Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation (ISSAC '20), pp. 8-11.
- Z. H. Lai, L.-H. Lim and K. Ye, Simpler Grassmannian optimization. (arXiv)
- J. W. Nie, K. Ye and L. H. Zhi, Tensor decompositions on algebraic varieties. (arXiv)
2019
- L.-H. Lim, S. W. Wong and K.Ye, Numerical algorithms on the affine Grassmannian, SIAM Journal on Matrix Analysis and Applications, 2019, 40(2), pp. 371-393. (arXiv)
- J. W. Nie and K. Ye, Hankel tensor decompositions and ranks, SIAM Journal on Matrix Analysis and Applications, 2019, 40(2), pp. 486-516. (arXiv)
- L.-H. Lim, R. Sepulchre and K. Ye, Geometric distance between positive definite matrices of different dimensions, IEEE Transactions on Information Theory, 2019, 65(9), pp. 5401-5405. (arXiv)
- Y. Qi, P. Comon, L.-H. Lim and K. Ye, Path connectedness of tensor ranks, 27th European Signal Processing Conference (EUSIPCO 2019), pp. 1-5.
- L.-H. Lim and K. Ye, Tensor network states ranks. (arXiv)
2018
- K. Ye and L.-H. Lim, Fast structured matrix computations: tensor rank and Cohn-Umans method, Foundations of Computational Mathematics, 2018, 18(1), pp. 45-95. (arXiv)
- T. R. Gao, L.-H. Lim and K. Ye, Semi-Riemannian manifold optimization. (arXiv)
2017
K. Ye and S. L. Hu, Inverse eigenvalue problems for tensors, Communications in Mathematical Sciences, 2017, 15(6), pp. 1627-1649. (arXiv)
- K. Ye, New classes of matrix decompositions, Linear Algebra and its Applications, 2017, 514, pp. 47-81. (arXiv)
- K. Ye and L.-H. Lim, Cohomology of cryo-electron microscopy, SIAM Journal on Applied Geometry and Algebra, 2017, 1(1), pp. 507-535. (arXiv)
2016
- K. Ye and L.-H. Lim, Every matrix is a product of Toeplitz matrices, Foundations of Computational Mathematics, 2016, 16(3), pp. 577-598. (arXiv) [证明了复数域上的任意矩阵都可以分解成有限个Toeplitz矩阵的乘积，部分解决了T. Y. Lam提出的问题]
- K. Ye and L.-H. Lim, Algorithms for structured matrix-vector product of optimal bilinear complexity, 2016 IEEE Information Theory Workshop (ITW 2016), pp. 310-314.
- S. L. Hu and K. Ye, Multiplicities of tensor eigenvalues, Communications in Mathematical Sciences, 2016, 14(4), pp. 1049-1071. (arXiv)
- K. Ye and L.-H. Lim, Schubert varieties and distances between linear spaces of different dimensions, SIAM Journal on Matrix Analysis and Applications, 2016, 37(3), pp. 1176-1197. (arXiv)
2012
J. M. Landsberg, Y. Qi and K. Ye, On the geometry of tensor network states, Quantum Information & Computation, 2012, 12(3-4), pp. 346-354. (arXiv) [证明了张量网络状态的极限不一定仍是张量网络状态，回答了L. Grasedyck提出的问题]
2011
K. Ye, The stabilizers of immanants, Linear Algebra and Its Applications, 2011, 435(5), pp. 1085-1098. (arXiv)
学术报告（2021-2025）
- 第17届全国代数学会议，大会报告，哈尔滨（2025）
- IMS-NTU joint workshop on Applied Geometry for Data Sciences, Singapore (2024)
- SIAM Conference on Applied Linear Algebra, Sorbonne University, Paris, France (2024)
- Algebraic geometry and complexity theory workshop, Warsaw, Poland (2022)
- SIAM Conference on Applied Algebraic geometry, Texas A&M University, College Station, Texas, USA (2021)
- SIAM Conference on Applied Linear Algebra, New Orleans, Louisana, USA (2021)
- 清华大学，现代数学报告，北京（2021）
- Data Science Seminar, Mathematical Institute, Orxford University, Oxford, UK (2021)
合作情况
中国
中科院数学与系统科学研究院: 陆镜宇，李子佳，杨剑霆，支丽红，高小山
山东大学: 黄巧龙
国防科技大学: 胡胜龙
美国
University of Chicago: Lek-Heng Lim, Ken Sze-Wai Wong, Tingran Gao, Zhen Dai, Xiang Lu
Texas A&M University: Joseph M. Landsberg
University of Berkeley at San Diego: Jiawang Nie
University of Missouri: Jeffrey Uhlmann
University of Texas at Austin: Zehua Lai
法国
CNRS: Pierre Comon
Ecole Polytechnique: Yang Qi
英国
University of Glasgow: Mu Niu
University of Cambridge: Rodolphe Sepulchre
韩国
Institute for Basic Science: Hong Liu