數學系

研究成果

每年研究成果 1989 2002 2003 2004 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022

• 5518 引文
• 31 h-指數
• 599 期刊論文
• 20 會議論文篇章
• 5 評論/辯論
• 3 回顧評介論文
• 1 更多
  • 1 篇章

每年研究成果

每年研究成果

搜尋結果

• 2022

  3D Map Exploration Using Topological Fourier Sparse Set

  Lu, B. X. & Tseng, K. S., 4月 2022, 於: Journal of Intelligent and Robotic Systems: Theory and Applications. 104, 4, 75.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Set theory 100%
  • Unmanned aerial vehicles (UAV) 36%
  • Robotics 29%
  • Experiments 13%

• Adaptive submodular inverse reinforcement learning for spatial search and map exploration

  Wu, J. J. & Tseng, K. S., 2月 2022, 於: Autonomous Robots. 46, 2, p. 321-347 27 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Reinforcement learning 100%
  • NP-hard 32%
  • Learning algorithms 27%
  • Experiments 11%

• A hybrid-line-and-curve search globalization technique for inexact Newton methods

  Cai, S. R. & Hwang, F. N., 3月 2022, 於: Applied Numerical Mathematics. 173, p. 79-93 15 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Inexact Newton Methods 100%
  • Globalization 99%
  • Newton-Raphson method 79%
  • Damping 55%
  • Line Search 53%

• Applications of an extended geometric Brownian motion degradation model

  Hsu, Y. S., Chen, P. C., Lee, M. Y. & Wu, C. H., 2022, 於: Communications in Statistics - Theory and Methods. 51, 7, p. 2139-2153 15 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Geometric Brownian Motion 100%
  • Degradation 91%
  • Brightness 65%
  • First Passage Time 34%
  • Model 24%

• A simple and effective multi-focus image fusion method based on local standard deviations enhanced by the guided filter

  You, C. S. & Yang, S. Y., 4月 2022, 於: Displays. 72, 102146.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Image fusion 100%
  • Pixels 64%

• Asymptotics of G-equivariant Szegő kernels

  Huang, R. T. & Shao, G., 2022, (已被接受) 於: Annals of Global Analysis and Geometry.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Equivariant 100%
  • kernel 73%
  • CR Manifold 34%
  • Group 32%
  • Compact Lie Group 29%

• BLOCKS AND CHARACTERS OF D(2|1; ζ)-MODULES OF NON-INTEGRAL WEIGHTS

  Chen, C. W., Cheng, S. J. & Luo, L., 2022, (已被接受) 於: Transformation Groups.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Lie Superalgebra 100%
  • Character 69%
  • Module 60%
  • Reduction Method 50%
  • Classify 35%

• Combined Acupoints for the Treatment of Patients with Obesity: An Association Rule Analysis

  Lu, P. H., Chen, Y. Y., Tsai, F. M., Liao, Y. L., Huang, H. F., Yu, W. H. & Kuo, C. Y., 2022, 於: Evidence-based Complementary and Alternative Medicine. 2022, 7252213.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Acupuncture Points 100%
  • Obesity 56%
  • Randomized Controlled Trials 20%
  • Boidae 14%
  • Therapeutics 13%

• CRITICAL TRAVELING WAVE SOLUTIONS FOR A VACCINATION MODEL WITH GENERAL INCIDENCE

  Yang, Y., Zhou, J. & Hsu, C. H., 3月 2022, 於: Discrete and Continuous Dynamical Systems - Series B. 27, 3, p. 1209-1225 17 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Vaccination 100%
  • Traveling Wave Solutions 82%
  • Incidence 80%
  • Wave Speed 39%
  • Model 27%
  1 引文 斯高帕斯（Scopus）

• Double-barrier option pricing equations under extended geometric Brownian motion with bankruptcy risk

  Hsu, Y. S., Chen, P. C. & Wu, C. H., 5月 2022, 於: Statistics and Probability Letters. 184, 109383.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Double Barrier Options 100%
  • Bankruptcy 91%
  • Barrier Options 87%
  • Geometric Brownian Motion 80%
  • Option Pricing 70%

• GLOBAL ATTRACTIVITY OF A NONLOCAL REACTION-DIFFUSION VIRAL INFECTION MODEL

  Yang, Y., Zou, L. & Hsu, C. H., 2022, 於: Proceedings of the American Mathematical Society. 150, 7, p. 2901-2911 11 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Global Attractivity 100%
  • Reaction-diffusion 92%
  • Infection 82%
  • Cell 41%
  • Endemic Equilibrium 30%

• On the Coefficients of the Equivariant Szegő Kernel Asymptotic Expansions

  Hsiao, C. Y., Huang, R. T. & Shao, G., 1月 2022, 於: Journal of Geometric Analysis. 32, 1, 31.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Equivariant 100%
  • Asymptotic Expansion 92%
  • kernel 73%
  • Coefficient 53%
  • CR Manifold 46%

• Parabolic Category for Periplectic Lie Superalgebras

  Chen, C. W. & Peng, Y. N., 2022, (已被接受) 於: Transformation Groups.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Lie Superalgebra 100%
  • Tilting Modules 80%
  • Classify 47%
  • Character 46%
  • Kazhdan-Lusztig Polynomial 43%

• People search via deep compressed sensing techniques

  Lu, B. X., Tsai, Y. C. & Tseng, K. S., 2022, (已被接受) 於: Robotica.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Compressed Sensing 100%
  • Compressed sensing 84%
  • Set theory 47%
  • Search Problems 36%
  • Sparse Coding 27%

• SOME HOMOLOGICAL PROPERTIES of CATEGORY O for LIE SUPERALGEBRAS

  Chen, C. W. & Mazorchuk, V., 2022, (已被接受) 於: Journal of the Australian Mathematical Society.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Lie Superalgebra 100%
  • Injective Dimension 24%
  • Projective Dimension 22%
  • Socle 21%
  • Injective 16%

• Spontaneous locomotion of phoretic particles in three dimensions

  Hu, W. F., Lin, T. S., Rafai, S. & Misbah, C., 3月 2022, 於: Physical Review Fluids. 7, 3, 034003.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Locomotion 100%
  • Ballistics 75%
  • Chaos theory 69%
  • Three-dimension 65%
  • Dimension 51%

• The Lemmens-Seidel conjecture and forbidden subgraphs

  Cao, M. Y., Koolen, J. H., Lin, Y. C. R. & Yu, W. H., 1月 2022, 於: Journal of Combinatorial Theory. Series A. 185, 105538.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Equiangular 100%
  • Forbidden Subgraph 92%
  • Angle 58%
  • Line 46%
  • Eigenvalue 43%

• The space of Dunkl monogenics associated with Z₂³

  Huang, H. W., 7月 2022, 於: Nuclear Physics B. 980, 115766.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • modules 100%
  • algebra 76%
  • integers 39%
  • operators 28%
  • symmetry 23%

• Transferable domination number of graphs

  Chang, F. H., Chia, M. L., Kuo, D., Deng, W., Liaw, S. C. & Pan, Z., 31 5月 2022, 於: Discrete Applied Mathematics. 313, p. 135-146 12 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Domination number 100%
  • Graph in graph theory 44%
  • Multiset 18%
  • Bipartite Graph 14%
  • Connected graph 12%
• 2021

  A sufficient condition for random zero sets of Fock spaces

  Fang, X. & Tien, P. T., 9月 2021, 於: Archiv der Mathematik. 117, 3, p. 291-304 14 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Fock Space 100%
  • Random Sets 99%
  • Zero set 99%
  • Sufficient Conditions 42%
  • Counting Function 34%

• Blocks and characters of G(3)-modules of non-integral weights

  Chen, C. W., Cheng, S. J. & Luo, L., 15 12月 2021, 於: Journal of Algebra. 588, p. 574-616 43 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Lie Superalgebra 100%
  • Character 69%
  • Module 60%
  • Lie Algebra 47%
  • Tilting Modules 40%
  1 引文 斯高帕斯（Scopus）

• Bounds on antipodal spherical designs with few angles

  Xu, Z., Xu, Z. & Yu, W. H., 2021, 於: Electronic Journal of Combinatorics. 28, 3, P3.39.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Spherical Design 100%
  • Angle 55%
  • Equiangular 37%
  • Tight Frame 34%
  • Packing 25%

• Characterization of Besov spaces associated with parabolic sections

  Cheng, M., Lin, C. C. & Qu, M., 1 5月 2021, 於: Journal of Mathematical Analysis and Applications. 497, 1, 124871.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Doubling 100%
  • Besov Spaces 96%
  • Embedding Theorem 53%
  • Characterization 48%
  • Lower bound 30%

• Classification of spherical 2-distance {4, 2, 1}-designs by solving diophantine equations

  Bannai, E., Bannai, E., Xiang, Z., Yu, W. H. & Zhu, Y., 2月 2021, 於: Taiwanese Journal of Mathematics. 25, 1, p. 1-22 22 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Diophantine equation 100%
  • Design 56%
  • Integral Solution 55%
  • Combinatorics 43%
  • Object 30%
  1 引文 斯高帕斯（Scopus）

• Effects of surfactant solubility on the hydrodynamics of a viscous drop in a dc electric field

  Nganguia, H., Hu, W. F., Lai, M. C. & Young, Y. N., 6月 2021, 於: Physical Review Fluids. 6, 6, 064004.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Solubility 100%
  • Surface-Active Agent 88%
  • Electric Field 85%
  • Surface active agents 83%
  • Hydrodynamics 78%

• Exact asymptotic behavior of pulsating traveling waves for a periodic monostable lattice dynamical system

  Wu, S. L., Chen, G. S. & Hsu, C. H., 4月 2021, 於: Proceedings of the American Mathematical Society. 149, 4, p. 1697-1710 14 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Lattice Dynamical System 100%
  • Traveling Wave 68%
  • Dynamical systems 56%
  • Asymptotic Behavior 48%
  • Periodic Systems 25%

• Finite-dimensional irreducible modules of the universal Askey–Wilson algebra at roots of unity

  Huang, H. W., 1 3月 2021, 於: Journal of Algebra. 569, p. 12-29 18 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Irreducible Module 100%
  • Universal Algebra 98%
  • Roots of Unity 85%
  • Generator 39%
  • F-algebra 36%
  2 引文 斯高帕斯（Scopus）

• Finite-dimensional modules of the universal Askey–Wilson algebra and DAHA of type (C1∨,C1)

  Huang, H. W., 6月 2021, 於: Letters in Mathematical Physics. 111, 3, 81.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Affine Hecke Algebra 100%
  • Universal Algebra 88%
  • algebra 69%
  • F-algebra 65%
  • modules 60%
  1 引文 斯高帕斯（Scopus）

• Finite-dimensional modules of the universal Racah algebra and the universal additive DAHA of type (C₁^∨,C₁)

  Huang, H. W., 8月 2021, 於: Journal of Pure and Applied Algebra. 225, 8, 106653.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Affine Hecke Algebra 100%
  • Module 49%
  • F-algebra 48%
  • Algebra 40%
  • Unital 36%
  3 引文 斯高帕斯（Scopus）

• Finite W-superalgebras via super Yangians

  Peng, Y. N., 22 1月 2021, 於: Advances in Mathematics. 377, 107459.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Superalgebra 100%
  • Lie Superalgebra 97%
  • Nilpotent Element 56%
  • Subalgebra 37%
  • Isomorphism 35%
  3 引文 斯高帕斯（Scopus）

• G-invariant Szegő kernel asymptotics and CR reduction

  Hsiao, C. Y. & Huang, R. T., 2月 2021, 於: Calculus of Variations and Partial Differential Equations. 60, 1, 47.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Lie groups 100%
  • kernel 46%
  • Invariant 37%
  • Fourier Integral Operators 31%
  • CR Manifold 29%
  2 引文 斯高帕斯（Scopus）

• Improve concentration of frequency and time (ConceFT) by novel complex spherical designs

  Sourisseau, M., Wang, Y. G., Womersley, R. S., Wu, H. T. & Yu, W. H., 9月 2021, 於: Applied and Computational Harmonic Analysis. 54, p. 137-144 8 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Spherical Design 100%
  • Time series 57%
  • Sleep 34%
  • Electroencephalography 31%
  • Non-stationary Time Series 18%
  1 引文 斯高帕斯（Scopus）

• Improved image quality for static blade magnetic resonance imaging using the total-variation regularized least absolute deviation solver

  Chen, H. C., Yang, H. C., Chen, C. C., Harrevelt, S., Chao, Y. C., Lin, J. M., Yu, W. H., Chang, H. C., Chang, C. K. & Hwang, F. N., 12月 2021, 於: Tomography. 7, 4, p. 555-572 18 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Least-Squares Analysis 100%
  • Magnetic Resonance Imaging 59%
  • Radiologists 20%
  • Analysis of Variance 17%
  • Confidence Intervals 13%

• L(p,q)-labelings of subdivisions of graphs

  Chang, F. H., Chia, M. L., Jiang, S. A., Kuo, D. & Liaw, S. C., 11 3月 2021, 於: Discrete Applied Mathematics. 291, p. 264-270 7 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Subdivision 100%
  • Labeling 95%
  • Graph in graph theory 45%
  • G-function 20%
  • Labels 13%

• Monge–Ampère singular integral operators acting on Triebel–Lizorkin spaces

  Cheng, M., Lee, M. Y., Lin, C. C. & Qu, M., 2021, 於: Applicable Analysis. 100, 5, p. 923-963 41 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Triebel-Lizorkin Space 100%
  • Singular Integral Operator 91%

• Numerical ranges of Foguel operators

  Gau, H. L., Wang, K. Z. & Wu, P. Y., 1 2月 2021, 於: Linear Algebra and Its Applications. 610, p. 766-784 19 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Numerical Range 100%
  • Operator 39%
  • Numerical Radius 37%
  • Unitary Operator 33%
  • Thing 28%

• On quint-canonical birationality of irregular threefolds

  Chen, J. J., Chen, J. A., Chen, M. & Jiang, Z., 2月 2021, 於: Proceedings of the London Mathematical Society. 122, 2, p. 234-258 25 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Threefolds 100%
  • Irregular 86%

• On the asymptotic normality and efficiency of Kronecker envelope principal component analysis

  Huang, S. H. & Huang, S. Y., 7月 2021, 於: Journal of Multivariate Analysis. 184, 104761.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Asymptotic Efficiency 100%
  • Principal Component Analysis 94%
  • Asymptotic Normality 92%
  • Envelope 71%
  • Electron Microscopy 29%

• Optimal group testing designs for prevalence estimation combining imperfect and gold standard assays

  Huang, S. H., Huang, M. N. L. & Shedden, K., 2021, 於: Electronic Journal of Statistics. 15, 1, p. 630-649 20 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Group Testing 100%
  • Gold 96%
  • Gold Standard 95%
  • Imperfect 86%
  • Testing 64%

• Simple supermodules over lie superalgebras

  Chen, C. W. & Mazorchuk, V., 2月 2021, 於: Transactions of the American Mathematical Society. 374, 2, p. 899-921 23 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Lie Superalgebra 100%
  • Annihilator 20%
  • Grading 20%
  • Classification Problems 19%
  • Proof by induction 17%
  5 引文 斯高帕斯（Scopus）

• Testing Independence Between Two Spatial Random Fields

  Huang, S. H., Huang, H. C., Tsay, R. S. & Pan, G., 6月 2021, 於: Journal of Agricultural, Biological, and Environmental Statistics. 26, 2, p. 161-179 19 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Random Field 100%
  • Sea Surface Temperature 81%
  • Oceans and Seas 76%
  • Atlantic Ocean 59%
  • Canonical Correlation Analysis 59%
  1 引文 斯高帕斯（Scopus）

• The Casimir elements of the Racah algebra

  Huang, H. W. & Bockting-Conrad, S., 8月 2021, 於: Journal of Algebra and its Applications. 20, 8, 2150135.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Algebra 100%
  • Generator 70%
  • Associative Algebra 52%
  • Faithful 49%
  • Unital 47%
  1 引文 斯高帕斯（Scopus）

• The Harnack inequality for a class of nonlocal parabolic equations

  Banerjee, A., Garofalo, N., Munive, I. H. & Nhieu, D. M., 9月 2021, 於: Communications in Contemporary Mathematics. 23, 6, 2050052.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Parabolic Operator 100%
  • Scale Invariant 95%
  • Harnack Inequality 93%
  • Fractional Powers 91%
  • Nonlocal Equations 89%
  1 引文 斯高帕斯（Scopus）

• The optimal limit prices of limit orders under an extended geometric brownian motion with bankruptcy risk

  Hsu, Y. S., Chen, P. C. & Wu, C. H., 1 1月 2021, 於: Mathematics. 9, 1, p. 1-13 13 p., 54.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Bankruptcy 100%
  • Geometric Brownian Motion 88%
  • Trading Strategies 41%
  • Influence 20%
  • Crisis 17%
  1 引文 斯高帕斯（Scopus）

• Tilting modules for classical Lie superalgebras

  Chen, C. W., Cheng, S. J. & Coulembier, K., 4月 2021, 於: Journal of the London Mathematical Society. 103, 3, p. 870-900 31 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Tilting Modules 100%
  • Lie Superalgebra 82%
  • Injective Module 46%
  • Projective Module 43%
  • Tilting 23%
  5 引文 斯高帕斯（Scopus）

• Transfer learning of coverage functions via invariant properties in the fourier domain

  Tseng, K. S., 5月 2021, 於: Autonomous Robots. 45, 4, p. 519-542 24 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Transfer learning 100%
  • NP-hard 11%
  • Robotics 9%
  • Experiments 8%
  • Robots 7%
  3 引文 斯高帕斯（Scopus）

• Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras

  Chen, C. W., Coulembier, K. & Mazorchuk, V., 2月 2021, 於: Mathematische Zeitschrift. 297, 1-2, p. 255-281 27 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  開啟存取

  • Simple Module 100%
  • Lie Superalgebra 92%
  • Lie Algebra 65%
  • Module 37%
  • Socle 33%
  4 引文 斯高帕斯（Scopus）

• Traveling wave solutions for a diffusive age-structured SIR epidemic model

  Wu, S. L., Chen, L. & Hsu, C. H., 7月 2021, 於: Communications in Nonlinear Science and Numerical Simulation. 98, 105769.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • SIR Epidemic Model 100%
  • Traveling Wave Solutions 74%
  • Wave Speed 44%
  • Nonexistence 32%
  • Age-structured Model 25%
  4 引文 斯高帕斯（Scopus）

• Whittaker Modules for Classical Lie Superalgebras

  Chen, C. W., 11月 2021, 於: Communications in Mathematical Physics. 388, 1, p. 351-383 33 p.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Lie Superalgebra 100%
  • modules 74%
  • Module 60%
  • Verma Modules 29%
  • Standards 25%
  1 引文 斯高帕斯（Scopus）
• 2020

  A direct Poisson solver in spherical geometry with an application to diffusiophoretic problems

  Lin, T. S., Hu, W. F. & Misbah, C., 15 5月 2020, 於: Journal of Computational Physics. 409, 109362.

  研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

  • Spherical geometry 100%
  • Poisson equation 89%
  • Finite difference method 70%
  • Statistical methods 58%
  • Siméon Denis Poisson 55%
  1 引文 斯高帕斯（Scopus）