Wei-Hsuan Yu 

I am an associate professor at National Central University (中央大學) working in discrete geometry, algebraic combinatorics and the application of Semidefinite Programming. 

About me: 

Ph.D in Mathematics, University of Maryland College Park, 2014

Advisor: Alexander Barg;                  co-advisor: John Benedetto

Visiting Assistant Professor at Michigan State University 2014-17.  

Institute potsdoc, Brown University, ICERM,  mentor : Henry Cohn ,  2017-18 

Publications: 

1. A. Barg, W-H. Yu, New upper bounds for spherical two-distance sets, Experimental Math., 22,  no. 2, 2013, 187-194.  arXiv:1204.5268  

2. A. Barg, W-H. Yu, New bounds for equiangular lines. Discrete Geometry and Algebraic Combinatorics, A. Barg and O. Musin, Editors, AMS Series: Contemporary Mathematics, vol. 625, 2014, 111-121. arXiv:1311.3219

3. A. Barg, K. Okoudjou, A. Glazyrin and W-H. Yu, Finite two-distance tight frames. Linear Algebra and its Application , Volume 474, 15 June 2015, 163-175 arXiv:1402.3521.

4. T. Okuda and W-H. Yu, A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 4. European Journal of Combinatorics, vol. 53 April 2016 96-103. arXiv:1409.6995.

5. New bounds for equiangular lines and spherical two-distance sets. SIAM Journal on Discrete Math Vol 31, No.2, 908-917. arXiv: 1609.01036 

6. Y. Zhu, Eiichi Bannai, Etsuko Bannai, K-T. Kim and W-H. Yu, On spherical designs of harmonic index T. Electronic Journal of Combinatorics, Volume 24, Issue 2, #p2.14. arXiv:1507.05373

7. M. Haver, K. Lee, W. McDermott, A. Wilson, W-H. Yu and A. Zeleke, Closed Forms of Recursive Polynomials and Applications, Arc Combinatoria  142 (2019), 175-195.  

8. A. Glazyrin and W-H. Yu, Upper bounds for s-distance sets and equiangular lines. (Accepted) Advances in Mathematics arXiv:1611.09479

9.  Y-C. Roger Lin and W-H. Yu, Saturated equiangular lines in Euclidean Space and new large construction of equiangular lines. Linear Algebra and its Application, Volume 588, 1 March 2020, Pages 272-281,   arXiv:1801.04502 .

10.  L. Hou, B. Hou, S. Gao and W-H. Yu, New code upper bounds for the folded n-cube.  Journal of Combinatorial Theory series A, Volume 172, May 2020. arXiv:1801.06971.

11. . Y-C. Roger Lin and W-H. Yu, Equiangular lines and the Lemmens-Seidel conjecture. Discrete Mathematics, Volume 343, Issue 2, February 2020, 111667. https://doi.org/10.1016/j.disc.2019.111667   arXiv:1807.06249.

12. E. Bannai, E. Bannai, Z. Xiang, W-H. Yu and Y. Zhu, Classification of spherical two-distance set and {4,2,1} designs, Taiwanese Journal Mathematics, 2020.

13. Z. Xu, Z. Xu and W-H Yu, Bounds on antipodal spherical designs with few angles, Electronic Journal of Combinatorics, Vol 28, Issue 3, 2021.

14. Matt Sourisseau, Yu Guang Wang, Hau-Tieng Wu, Wei-Hsuan Yu, Improved concentration of frequncy and time (ConceFT) by novel complex spherical designs, Applied and Compitational Harmonic Analysis, Vol 54, Sep 2021, p137-144.  arXiv:1907.13493

(與Duke吳浩榳等人合作，用球面設計的概念改進一種時頻分析的算法，並應用在醫學訊號處理)         

15. M. Cao, J. Koolen*, Y-C. Lin, W-H. Yu, Lemmens-Seidel Conjecture and forbidden

subgraph, Journal of Combinatorial Series A, Volume 185, January 2022.

16. P-H. Lu, Y-Y. Chen, F-M Tsai, Y-L. Liao, H-F. Huang, W-H. Yu, C-Y. Kuo, Combined acupoints for the treatment of patients with obesity : an association rule analysis, Evid Based Complement Alternat Med, Mar 2022.

17. P.-C. Tseng, C.-Y. Lai, and W.-H. Yu, Improved Semidefinite Programming Bounds for Binary Codes by Split Distance Enumerations," 2022 IEEE International Symposium on Information Theory (ISIT), 2022, pp. 3073-3078, DOI: 10.1109/ISIT50566.2022.9834515 

18. P.-H. Lu, C.-C. Chiang, W.-H. Yu, M.-C. Yu, F.-N. Huang, Machine Learning-Based Technique for the Severity Classification of Sublingual Varices according to Traditional Chinese Medicine, Computational and Mathematical Method in Medicine, Nov, 2022. https://doi.org/ 10.1155/2022/3545712

19. Y. Wang, R. S. Womersley, H.-T. Wu, W.-H. Yu, Numerical computation of triangular complex spherical designs with small mesh ratio, Journal of Computational and Applied Mathematics, Volume 421, 15 March 2023. https://doi.org/10.1016/j.cam.2022.114796

Submitted Paper

* F-Y. Liu and W-H. Yu, Semidefinite programming bounds for spherical three-distance sets.

* C.-R. Yeh and W.-H. Yu, Improvement of generalization of Larman-Rogers-Seidel’s Theorem. arXiv:2106.09582

* E. Bannai, E. Bannai, C-Y. Lee, H. Tanaka, W-H. Yu, The real equiangular tight frames obtained from rank 3 graphs, arXiv:2202.09858

* W-J. Koa and W-H. Yu, Four-point semidefinite bound for equiangular lines, arXiv:2203.05828

* C-Y. Lai, P-T. Tseng, W-H. Yu, Semidefinite programming bounds for binary codes from a split Terwilliger algebra, arXiv: 2203.06568.

* W-J. Kao, S. Suda, W-H. Yu, Semidefinite programming bounds for complex spherical codes, arXiv: 2204.04108

*A. Barg, A. Glazyrin, W-.J. Kao, C.-Y. Lai, P.-C. Tseng, and W.-H. Yu, On the size of maximal binary codes with 2, 3, and 4 distances, arXiv:2210.07496

* M.-C. Hsu, E.-J. Kuo, W.-H. Yu, J.-F. Cai, M-H. Hsieh, Quantum state tomography via non- convex Riemannian gradient descent, arXiv: 2210.04717

* E. Bannai, E. Bannai, C.-Y. Lee, Z. Xiang, W.-H. Yu, On the two-distance embedding in real Euclidean space of coherent configuration of type(2,2:3), arXiv:2211.02331.

Presentation: 

• WPI talk slide 2015 Aug.

• Anhui University, Bannai 70th Birthday Algebraic Combinatorcis conference 2016 Oct

• Beijing Academy of Mathematics and Systems Science 2018 Jan.

• Shanghai University 2018 Jan.

Conjecture Prize

Attachment of the paper : The real equiangular tight frames obtained from rank $3$ graphs)