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俞韋亘

Yu, Wei-Hsuan

whyu@math.ncu.edu.tw

國科會計畫統計

最佳經典與量子碼
1140801~1150731
最佳經典與量子碼
1130801~1140731
最佳球面編碼與設計
1120801~1130731
[離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]
最佳球面編碼與設計
1110801~1120731
[離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]
最佳球面編碼與設計
1100801~1110731
[離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]
最佳球面編碼與設計
1090801~1100731
[離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]
各式樣方法在等角直線叢
1080801~1090731
[等角直線叢,半正定規劃 , equiangular lines, semidefinite programming]
各式樣方法在等角直線叢
1071001~1080731
[等角直線叢,半正定規劃 , equiangular lines, semidefinite programming]

期刊著作

Unbiased weighing matrices of weight 9
Designs, Codes, and Cryptography, 93, 10, 4235-4273, 2025-10-01
[ Association scheme,Linear programming bound,Semidefinite programming bound,Suitable Latin square,Ternary code,Unbiased weighing matrix ]
On the two-distance embedding in real Euclidean space of coherent configuration of type (2,2;3)
Discrete Mathematics, 348, 4, 2025-04-01
[ Coherent configurations,Quasi-symmetric designs,Two-distance sets ]
On character table of Clifford groups
Journal of Mathematical Physics, 66, 2, 2025-02-01
Improving Interpretation Consistency of Serum Capillary Electrophoresis by Development of Quantitative Graphic Indexes
International Journal of Molecular Sciences, 25, 22, 2024-11-01
[ capillary zone electrophoresis,monoclonal gammopathy,reference interval ]
Quantum State Tomography via Nonconvex Riemannian Gradient Descent
Physical Review Letters, 132, 24, 2024-06-14
On the size of maximal binary codes with 2, 3, and 4 distances
Combinatorial Theory, 4, 1, 2024-01-01
[ Delsarte inequalities,Erdӧs–Ko–Rado,Johnson space ]
Semidefinite programming bounds for spherical three-distance sets
Electronic Journal of Combinatorics, 31, 4, 4-11, 2024-01-01
Semidefinite Programming Bounds on the Size of Entanglement-Assisted Codeword Stabilized Quantum Codes
IEEE Transactions on Information Theory, 70, 11, 7867-7881, 2024-01-01
[ codeword stabilized (CWS) codes,Quantum codes,semidefinite program,Terwilliger algebra,weight enumerator ]
The real equiangular tight frames obtained from rank 3 graphs
Electronic Journal of Graph Theory and Applications, 12, 2, 329-341, 2024-01-01
[ equiangular tight frame,rank 3 graph,strongly regular graph ]
Semidefinite programming bounds for binary codes from a split Terwilliger algebra
Designs, Codes, and Cryptography, 91, 10, 3241-3262, 2023-10-01
[ Binary codes,Distance distribution,Semidefinite program,Terwilliger algebra,Weight enumeration ]
Numerical computation of triangular complex spherical designs with small mesh ratio
Journal of Computational and Applied Mathematics, 421, 2023-03-15
[ Complex designs,Numerical integration,Quasi-uniform,Spherical designs,Uniform distribution ]
Machine Learning-Based Technique for the Severity Classification of Sublingual Varices according to Traditional Chinese Medicine
Computational and Mathematical Methods in Medicine, 2022, 2022-01-01
The Lemmens-Seidel conjecture and forbidden subgraphs
Journal of Combinatorial Theory - Series A, 185, 2022-01-01
Combined Acupoints for the Treatment of Patients with Obesity: An Association Rule Analysis
Evidence-based Complementary and Alternative Medicine, 2022, 2022-01-01
Improved image quality for static blade magnetic resonance imaging using the total-variation regularized least absolute deviation solver
Tomography (Ann Arbor, Mich.), 7, 4, 555-572, 2021-12-01
[ BLADE MRI,Graphic processing unit (GPU),Least absolute deviation,Non-uniform fast Fourier transform (NUFFT) ]
Improve concentration of frequency and time (ConceFT) by novel complex spherical designs
Applied and Computational Harmonic Analysis, 54, 137-144, 2021-09-01
[ ConceFT,Multitaper,Quasi-uniform spherical design,Synchrosqueezing transform,Time-frequency analysis ]
Classification of spherical 2-distance {4, 2, 1}-designs by solving diophantine equations
Taiwanese Journal of Mathematics, 25, 1, 1-22, 2021-02-01
[ 2-distance set,Diophantine equation,Spherical design,Strongly regular graph ]
Bounds on antipodal spherical designs with few angles
Electronic Journal of Combinatorics, 28, 3, 2021-01-01
New code upper bounds for the folded n-cube
Journal of Combinatorial Theory - Series A, 172, 2020-05-01
[ Code , Semidefinite programming , Terwilliger algebra , Upper bounds ]
Saturated configuration and new large construction of equiangular lines
Linear Algebra and Its Applications, 588, 272-281, 2020-03-01
[ Clique number , Equiangular lines ]
Equiangular lines and the Lemmens–Seidel conjecture
Discrete Mathematics, 343, 2, 2020-02-01
[ Equiangular set , Lemmens–Seidel , Pillar methods ]
Upper bounds for s-distance sets and equiangular lines
Advances in Mathematics, 330, 810-833, 2018-05-25
[ Equiangular lines , s-distance sets , Semidefinite programming ]
On spherical designs of some harmonic indices
Electronic Journal of Combinatorics, 24, 2, 2017-04-13
[ Delsarte’s method , Elliptic diophantine equation , Fisher type lower bound , Gegenbauer polynomial , Larman-Rogers-Seidel’s theorem , Semidefinite programming , Spherical designs of harmonic index , Tight design ]
New bounds for equiangular lines and spherical two-distance sets
SIAM Journal on Discrete Mathematics, 31, 2, 908-917, 2017-01-01
[ Equiangular lines , Semidefinite programming , Two-distance set ]
A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 4
European Journal of Combinatorics, 53, 96-103, 2016-04-01
Finite two-distance tight frames
Linear Algebra and Its Applications, 475, 163-175, 2015-01-01
[ Finite tight frames , Spherical 2-designs , Spherical designs of harmonic index 2 , Spherical two-distance sets , Strongly regular graphs ]
New bounds for spherical two-distance sets
Experimental Mathematics, 22, 2, 187-194, 2013-04-03
[ Positive definite matrices,Semidefinite programming,Two-distance sets ]

研討會著作

Upper Bounds on the Size of Entanglement-Assisted Codeword Stabilized Codes Using Semidefinite Programming
2269-2274, 2024-01-01
Improved semidefinite programming bounds for binary codes by split distance enumerations
3073-3078, 2022-01-01
[ binary codes,semidefinite p≤rogram,Terwilliger algebra ]
On the generalized eigenvalue problem for robust coil sensitivities of MRI
169-174, 2022-01-01
[ Generalized eigenvalue problem (GEP),magnetic resonance imaging (MRI),parallel imaging,phase singularity ]
On the generalized inverse for MRI reconstruction
2022-01-01
[ generalized inverse,Moore-Penrose pseudoinverse,neural network ]
A parallel hierarchical tensor product method for n-dimensional interpolation in the Fourier domain
2021-01-01
[ hierarchical tensor product,interpolation,nonuniform,parallel computing ]

校外榮譽

109 [國家理論科學研究中心] 國家理論科學中心年輕理論學者獎

校內獲獎

114 研究傑出獎
113 優良論文貢獻獎
111 研究傑出獎
109 新聘傑出獎(舊制)
108 新聘傑出獎(舊制)
107 新聘傑出獎(舊制)
107 新進教師補助

俞韋亘

Yu, Wei-Hsuan

現職

專長

專長簡述

最高學歷

相關連結

科技部學門領域

政府GRB研究專長領域

教育部學門領域

國科會計畫統計

最佳經典與量子碼 1140801~1150731

最佳經典與量子碼 1130801~1140731

最佳球面編碼與設計 1120801~1130731 [離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]

最佳球面編碼與設計 1110801~1120731 [離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]

最佳球面編碼與設計 1100801~1110731 [離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]

最佳球面編碼與設計 1090801~1100731 [離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]

各式樣方法在等角直線叢 1080801~1090731 [等角直線叢,半正定規劃 , equiangular lines, semidefinite programming]

各式樣方法在等角直線叢 1071001~1080731 [等角直線叢,半正定規劃 , equiangular lines, semidefinite programming]

期刊著作

Unbiased weighing matrices of weight 9 Designs, Codes, and Cryptography, 93, 10, 4235-4273, 2025-10-01 [ Association scheme,Linear programming bound,Semidefinite programming bound,Suitable Latin square,Ternary code,Unbiased weighing matrix ]

On the two-distance embedding in real Euclidean space of coherent configuration of type (2,2;3) Discrete Mathematics, 348, 4, 2025-04-01 [ Coherent configurations,Quasi-symmetric designs,Two-distance sets ]

On character table of Clifford groups Journal of Mathematical Physics, 66, 2, 2025-02-01

Improving Interpretation Consistency of Serum Capillary Electrophoresis by Development of Quantitative Graphic Indexes International Journal of Molecular Sciences, 25, 22, 2024-11-01 [ capillary zone electrophoresis,monoclonal gammopathy,reference interval ]

Quantum State Tomography via Nonconvex Riemannian Gradient Descent Physical Review Letters, 132, 24, 2024-06-14

On the size of maximal binary codes with 2, 3, and 4 distances Combinatorial Theory, 4, 1, 2024-01-01 [ Delsarte inequalities,Erdӧs–Ko–Rado,Johnson space ]

Semidefinite programming bounds for spherical three-distance sets Electronic Journal of Combinatorics, 31, 4, 4-11, 2024-01-01

Semidefinite Programming Bounds on the Size of Entanglement-Assisted Codeword Stabilized Quantum Codes IEEE Transactions on Information Theory, 70, 11, 7867-7881, 2024-01-01 [ codeword stabilized (CWS) codes,Quantum codes,semidefinite program,Terwilliger algebra,weight enumerator ]

The real equiangular tight frames obtained from rank 3 graphs Electronic Journal of Graph Theory and Applications, 12, 2, 329-341, 2024-01-01 [ equiangular tight frame,rank 3 graph,strongly regular graph ]

Semidefinite programming bounds for binary codes from a split Terwilliger algebra Designs, Codes, and Cryptography, 91, 10, 3241-3262, 2023-10-01 [ Binary codes,Distance distribution,Semidefinite program,Terwilliger algebra,Weight enumeration ]

Numerical computation of triangular complex spherical designs with small mesh ratio Journal of Computational and Applied Mathematics, 421, 2023-03-15 [ Complex designs,Numerical integration,Quasi-uniform,Spherical designs,Uniform distribution ]

Machine Learning-Based Technique for the Severity Classification of Sublingual Varices according to Traditional Chinese Medicine Computational and Mathematical Methods in Medicine, 2022, 2022-01-01

The Lemmens-Seidel conjecture and forbidden subgraphs Journal of Combinatorial Theory - Series A, 185, 2022-01-01

Combined Acupoints for the Treatment of Patients with Obesity: An Association Rule Analysis Evidence-based Complementary and Alternative Medicine, 2022, 2022-01-01

Improve concentration of frequency and time (ConceFT) by novel complex spherical designs Applied and Computational Harmonic Analysis, 54, 137-144, 2021-09-01 [ ConceFT,Multitaper,Quasi-uniform spherical design,Synchrosqueezing transform,Time-frequency analysis ]

Classification of spherical 2-distance {4, 2, 1}-designs by solving diophantine equations Taiwanese Journal of Mathematics, 25, 1, 1-22, 2021-02-01 [ 2-distance set,Diophantine equation,Spherical design,Strongly regular graph ]

Bounds on antipodal spherical designs with few angles Electronic Journal of Combinatorics, 28, 3, 2021-01-01

New code upper bounds for the folded n-cube Journal of Combinatorial Theory - Series A, 172, 2020-05-01 [ Code , Semidefinite programming , Terwilliger algebra , Upper bounds ]

Saturated configuration and new large construction of equiangular lines Linear Algebra and Its Applications, 588, 272-281, 2020-03-01 [ Clique number , Equiangular lines ]

Equiangular lines and the Lemmens–Seidel conjecture Discrete Mathematics, 343, 2, 2020-02-01 [ Equiangular set , Lemmens–Seidel , Pillar methods ]

Upper bounds for s-distance sets and equiangular lines Advances in Mathematics, 330, 810-833, 2018-05-25 [ Equiangular lines , s-distance sets , Semidefinite programming ]

New bounds for equiangular lines and spherical two-distance sets SIAM Journal on Discrete Mathematics, 31, 2, 908-917, 2017-01-01 [ Equiangular lines , Semidefinite programming , Two-distance set ]

A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 4 European Journal of Combinatorics, 53, 96-103, 2016-04-01

Finite two-distance tight frames Linear Algebra and Its Applications, 475, 163-175, 2015-01-01 [ Finite tight frames , Spherical 2-designs , Spherical designs of harmonic index 2 , Spherical two-distance sets , Strongly regular graphs ]

New bounds for spherical two-distance sets Experimental Mathematics, 22, 2, 187-194, 2013-04-03 [ Positive definite matrices,Semidefinite programming,Two-distance sets ]

研討會著作

Upper Bounds on the Size of Entanglement-Assisted Codeword Stabilized Codes Using Semidefinite Programming 2269-2274, 2024-01-01

Improved semidefinite programming bounds for binary codes by split distance enumerations 3073-3078, 2022-01-01 [ binary codes,semidefinite p≤rogram,Terwilliger algebra ]

On the generalized eigenvalue problem for robust coil sensitivities of MRI 169-174, 2022-01-01 [ Generalized eigenvalue problem (GEP),magnetic resonance imaging (MRI),parallel imaging,phase singularity ]

On the generalized inverse for MRI reconstruction 2022-01-01 [ generalized inverse,Moore-Penrose pseudoinverse,neural network ]

A parallel hierarchical tensor product method for n-dimensional interpolation in the Fourier domain 2021-01-01 [ hierarchical tensor product,interpolation,nonuniform,parallel computing ]

校外榮譽

校內獲獎

最佳經典與量子碼
1140801~1150731

最佳經典與量子碼
1130801~1140731

最佳球面編碼與設計
1120801~1130731
[離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]

最佳球面編碼與設計
1110801~1120731
[離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]

最佳球面編碼與設計
1100801~1110731
[離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]

最佳球面編碼與設計
1090801~1100731
[離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]

各式樣方法在等角直線叢
1080801~1090731
[等角直線叢,半正定規劃 , equiangular lines, semidefinite programming]

各式樣方法在等角直線叢
1071001~1080731
[等角直線叢,半正定規劃 , equiangular lines, semidefinite programming]

Unbiased weighing matrices of weight 9
Designs, Codes, and Cryptography, 93, 10, 4235-4273, 2025-10-01
[ Association scheme,Linear programming bound,Semidefinite programming bound,Suitable Latin square,Ternary code,Unbiased weighing matrix ]

On the two-distance embedding in real Euclidean space of coherent configuration of type (2,2;3)
Discrete Mathematics, 348, 4, 2025-04-01
[ Coherent configurations,Quasi-symmetric designs,Two-distance sets ]

On character table of Clifford groups
Journal of Mathematical Physics, 66, 2, 2025-02-01

Improving Interpretation Consistency of Serum Capillary Electrophoresis by Development of Quantitative Graphic Indexes
International Journal of Molecular Sciences, 25, 22, 2024-11-01
[ capillary zone electrophoresis,monoclonal gammopathy,reference interval ]

Quantum State Tomography via Nonconvex Riemannian Gradient Descent
Physical Review Letters, 132, 24, 2024-06-14

On the size of maximal binary codes with 2, 3, and 4 distances
Combinatorial Theory, 4, 1, 2024-01-01
[ Delsarte inequalities,Erdӧs–Ko–Rado,Johnson space ]

Semidefinite programming bounds for spherical three-distance sets
Electronic Journal of Combinatorics, 31, 4, 4-11, 2024-01-01

Semidefinite Programming Bounds on the Size of Entanglement-Assisted Codeword Stabilized Quantum Codes
IEEE Transactions on Information Theory, 70, 11, 7867-7881, 2024-01-01
[ codeword stabilized (CWS) codes,Quantum codes,semidefinite program,Terwilliger algebra,weight enumerator ]

The real equiangular tight frames obtained from rank 3 graphs
Electronic Journal of Graph Theory and Applications, 12, 2, 329-341, 2024-01-01
[ equiangular tight frame,rank 3 graph,strongly regular graph ]

Semidefinite programming bounds for binary codes from a split Terwilliger algebra
Designs, Codes, and Cryptography, 91, 10, 3241-3262, 2023-10-01
[ Binary codes,Distance distribution,Semidefinite program,Terwilliger algebra,Weight enumeration ]

Numerical computation of triangular complex spherical designs with small mesh ratio
Journal of Computational and Applied Mathematics, 421, 2023-03-15
[ Complex designs,Numerical integration,Quasi-uniform,Spherical designs,Uniform distribution ]

Machine Learning-Based Technique for the Severity Classification of Sublingual Varices according to Traditional Chinese Medicine
Computational and Mathematical Methods in Medicine, 2022, 2022-01-01

The Lemmens-Seidel conjecture and forbidden subgraphs
Journal of Combinatorial Theory - Series A, 185, 2022-01-01

Combined Acupoints for the Treatment of Patients with Obesity: An Association Rule Analysis
Evidence-based Complementary and Alternative Medicine, 2022, 2022-01-01

Improve concentration of frequency and time (ConceFT) by novel complex spherical designs
Applied and Computational Harmonic Analysis, 54, 137-144, 2021-09-01
[ ConceFT,Multitaper,Quasi-uniform spherical design,Synchrosqueezing transform,Time-frequency analysis ]

Classification of spherical 2-distance {4, 2, 1}-designs by solving diophantine equations
Taiwanese Journal of Mathematics, 25, 1, 1-22, 2021-02-01
[ 2-distance set,Diophantine equation,Spherical design,Strongly regular graph ]

Bounds on antipodal spherical designs with few angles
Electronic Journal of Combinatorics, 28, 3, 2021-01-01

New code upper bounds for the folded n-cube
Journal of Combinatorial Theory - Series A, 172, 2020-05-01
[ Code , Semidefinite programming , Terwilliger algebra , Upper bounds ]

Saturated configuration and new large construction of equiangular lines
Linear Algebra and Its Applications, 588, 272-281, 2020-03-01
[ Clique number , Equiangular lines ]

Equiangular lines and the Lemmens–Seidel conjecture
Discrete Mathematics, 343, 2, 2020-02-01
[ Equiangular set , Lemmens–Seidel , Pillar methods ]

Upper bounds for s-distance sets and equiangular lines
Advances in Mathematics, 330, 810-833, 2018-05-25
[ Equiangular lines , s-distance sets , Semidefinite programming ]

New bounds for equiangular lines and spherical two-distance sets
SIAM Journal on Discrete Mathematics, 31, 2, 908-917, 2017-01-01
[ Equiangular lines , Semidefinite programming , Two-distance set ]

A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 4
European Journal of Combinatorics, 53, 96-103, 2016-04-01

Finite two-distance tight frames
Linear Algebra and Its Applications, 475, 163-175, 2015-01-01
[ Finite tight frames , Spherical 2-designs , Spherical designs of harmonic index 2 , Spherical two-distance sets , Strongly regular graphs ]

New bounds for spherical two-distance sets
Experimental Mathematics, 22, 2, 187-194, 2013-04-03
[ Positive definite matrices,Semidefinite programming,Two-distance sets ]

Upper Bounds on the Size of Entanglement-Assisted Codeword Stabilized Codes Using Semidefinite Programming
2269-2274, 2024-01-01

Improved semidefinite programming bounds for binary codes by split distance enumerations
3073-3078, 2022-01-01
[ binary codes,semidefinite p≤rogram,Terwilliger algebra ]

On the generalized eigenvalue problem for robust coil sensitivities of MRI
169-174, 2022-01-01
[ Generalized eigenvalue problem (GEP),magnetic resonance imaging (MRI),parallel imaging,phase singularity ]

On the generalized inverse for MRI reconstruction
2022-01-01
[ generalized inverse,Moore-Penrose pseudoinverse,neural network ]

A parallel hierarchical tensor product method for n-dimensional interpolation in the Fourier domain
2021-01-01
[ hierarchical tensor product,interpolation,nonuniform,parallel computing ]