Research

Employment

• 2017 - present, Associate professor, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

• 2015 - 2017, Postdoctoral scholar, Computational and Applied Mathematics Initiative, The University of Chicago

• 2012 - 2015, L. E. Dickson Instructor, The Department of Mathematics, The University of Chicago

Editorial services 

• 2023 - present, Associate Editor, SIAM Journal on Applied Algebra and Geometry

Short term visit

• March - June 2021, Participant of the program: Tensor Methods and Emerging Applications to the Physical and Data Sciences, Institute for Pure & Applied Mathematics (IPAM), University of California at Los Angeles, Los Angeles, California, USA

• September - December 2018, Visiting scholar, Institute for Computational and Experimental Research in Mathematics (ICERM), Brown University, Providence, Rhode Island, USA

• August - December 2014, Visiting scholar, Simons Institue for the Theory of Computing, University of California at Berkeley, Berkeley, California, USA

• May - August 2014, Visiting scholar, National Institue of Mathematical Sciences (NIMS), Daejeon, South Korea

Education

• 2007 - 2012, Ph.D. in Mathematics, The Department of Mathematics, Texas A&M University at College Station (advisor: Joseph M Landsberg)

• 2003 - 2007, B.S. in Mathematics, The Department of Mathematics, Sichuan University

Papers

published & accepted

• journal papers

1. Q. Y. Chen, J. Ulhmann and K. Ye, "Generalizing Frobenius inversion to quaternion matrices", Numerical Algorithms, 2023, accepted.

2. Q. L. Huang, K. Ye and X. S. Gao, "Skew-sparse matrix multiplication", Journal of Symbolic Computation, 2024, 121, pp. 102240. (doi) 

3. 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. (doi)

4. K. Ye, S. W. Wong and L.-H. Lim, "Optimization on flag manifolds", Mathematical Programming (Series A), 2022, 194(1-2), pp. 621-660. (doi)

5. L.-H. Lim, S. W. Wong and K. Ye, ''The Grassmannian of affine subspaces", Foundations of Computational Mathematics, 2021, 21, pp. 537-574. (doi)

6. P. Comom, L.-H. Lim, Y. Qi and K. Ye, ''Topology of tensor ranks", Advances in Mathematics, 2020, 367, pp. 107128. (doi)

7. 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. (doi)

8. J. W. Nie and K. Ye, "Hankel tensor decompositions and ranks", SIAM Journal on Matrix Analysis and Applications, 2019, 40(2), pp. 486–516. (doi)

9. 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. (doi) 

10. K. Ye and L.-H. Lim, ''Fast structured matrix computations: tensor rank and Cohn-Umans method", Foundations of Computational Mathematics, 2018, 18, pp. 45-95. (doi)

11. K. Ye and S. L. Hu, ''Inverse tensor eigenvalue problem", Communications in Mathematical Sciences, 2017, 15(6), pp. 1627-1649. (doi)

12. K. Ye and L.-H. Lim, "Cohomology of Cryo- Electron Microscopy", SIAM Journal on Applied Geometry and Algebra, 2017, 1(1), pp. 507-535. (doi)  

13. K. Ye, ''New classes of matrix decompositions", Linear Algebra and its Applications, 2017, 514, pp. 47-81. (doi)

14. 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. (doi)

15. S. L. Hu and K. Ye, ''Multiplicities of eigenvalues of tensors", Communications in Mathematical Sciences, 2016, 14 (4), pp. 1049-1071. (doi)

16. K. Ye and L.-H. Lim, ''Every matrix is a product of Toeplitz matrices", Foundations of Computational Mathematics, 2016, 16 (3), pp. 577-598. (doi)

17.  J. M. Landsberg, Y. Qi and K. Ye, ''On the geometry of tensor network states", Quantum Information and Computation, 2012, 12 (3-4), pp. 346-354. (doi)

18. K. Ye, "The stabilizer of immanants", Linear Algebra and its Applications, 2011, 435 (5), pp. 1085-1098. (doi)

• conference papers

1. J.T Yang, K. Ye and L.H Zhi, "Lower bounds of functions on finite abelian groups", The 29th International Computing and Combinatorics Conference (COCOON 2023), accepted.

2. L.-H. Lim and K. Ye, "Ubiquity of the exponent of matrix multipication", Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation (ISSAC'20), pp. 8-11. (doi )

3. Y. Qi, P. Comon, L.-H. Lim, and K. Ye, "Path connectedness of tensor ranks", 2019 27th European Signal Processing Conference (EUSIPCO'19), pp. 1-5. (doi)

4.  K. Ye and L.-H. Lim, "Algorithms for structured matrix-vector product of optimal bilinear complexity", 2016 IEEE Information Theory Workshop (ITW'16), pp. 310-314. (doi)

submitted 

1. Z. Dai, L.-H. Lim and K. Ye, "Complex matrix inversion by real matrix inversions", 2023, submitted. (arXiv)

2. J.T Yang, K. Ye and L.H Zhi, "Short certificates for MAX-SAT via Fourier sum of squares", 2023,  submitted. (arXiv)

3.  K. Ye and S. L. Hu, "When geometry meets optimization theory: partially orthogonal tensors", 2022, submitted. (arXiv )

preprint

1. Z. Lai, L.-H. Lim, K. Ye, "Simpler flag optimization", 2023,  in progress. (arXiv)

2. J.T Yang, K. Ye and L.H Zhi, ''Computing sparse Fourier sum of squares on finite abelian groups in quasi-linear time", 2022, in progress. (arXiv )

3. Z. H. Lai,  L.-H. Lim and K. Ye, "Simpler Grassmannian optimization", 2021, in progress. (arXiv) 

4. K. Ye and L.-H. Lim, "Tensor network ranks", 2020, in progress.  (arXiv)

5. K. Ye, M. Niu and P. Cheung, "Heat kernel and intrinsic Gaussian processes on manifolds", 2020, in progress. (arXiv)

6. J. W. Nie, K. Ye and L. H. Zhi, "Tensor decompositions on algebraic varieties", 2020, in progress. (arXiv) 

7. T. R. Gao, L.-H. Lim and K. Ye, "Semi-Riemannian manifold optimization", 2019, in progress. (arXiv)