Department of Mathematics

Projects

Projects per year 2012 2015 2016 2017 2018 2019 2020 2021 2022 2910

• 2 Not started
• 13 Active
• 155 Finished

Projects per year

Search results

• Adaptive Variational Models and Numerical Computations for Imaging Processing(1/3)

  Yang, S.

  1/08/19 → 31/07/20

  Project: Research

  • Image fusion 100%
  • Image processing 33%
  • Image denoising 25%
  • Image resolution 22%
  • Image segmentation 20%

• Adaptive Variational Models and Numerical Computations for Imaging Processing(2/3)

  Yang, S.

  1/08/20 → 31/07/21

  Project: Research

  • Image fusion 100%
  • Image processing 33%
  • Image denoising 25%
  • Image resolution 22%
  • Image segmentation 20%

• Adaptive Variational Models and Numerical Computations for Imaging Processing(3/3)

  Yang, S.

  1/08/21 → 31/07/23

  Project: Research

  • Contrast Enhancement 100%
  • Variational Model 74%
  • Pixel 25%
  • Image fusion 20%
  • Video Processing 20%

• A Homomorphism from the Universal Askey-Wilson Algebra into the 3-Fold Tensor Product of Uq(Sl2)

  Huang, H.

  1/10/16 → 30/09/17

  Project: Research

  • Galois 100%
  • embedding 97%
  • algebra 89%
  • modules 78%
  • Closure 76%

• Analysis of the Fractional Sub-Laplacian I

  Nhieu, D.

  1/08/20 → 31/07/21

  Project: Research

  • Sub-Laplacian 100%
  • Fractional 54%
  • Harnack Inequality 45%
  • Nonnegative Solution 41%
  • Context 23%

• Analytic Torsion and Geometric Quantization on Complex and Cr Manifolds(1/2)

  Huang, R.

  1/08/18 → 31/07/19

  Project: Research

• Analytic Torsion and Geometric Quantization on Complex and Cr Manifolds(2/2)

  Huang, R.

  1/08/19 → 31/07/21

  Project: Research

  • Morse Inequalities 100%
  • Equivariant 62%
  • CR Manifold 56%
  • kernel 45%
  • Index Theorem 41%

• A New Framework of Parallel Multiscale Finite Element Methods and their Applications

  Hwang, F.

  1/08/16 → 31/07/17

  Project: Research

  • Multiscale Methods 100%
  • Finite Element Method 63%
  • Basis Functions 59%
  • Interface Problems 57%
  • pulse detonation engines 49%

• A Study of Graph Coloring, Graph Spectra and Diffusion Process on Graphs(1/2)

  Yeh, H.

  1/08/15 → 31/07/16

  Project: Research

  • Graph Spectra 100%
  • Graph Coloring 74%
  • Diffusion Process 61%
  • Circular Chromatic number 48%
  • Strongly Chordal Graphs 47%

• A Study of Graph Coloring, Graph Spectra and Diffusion Process on Graphs(2/2)

  Yeh, H.

  1/08/16 → 31/07/17

  Project: Research

  • Graph Spectra 100%
  • Graph Coloring 74%
  • Diffusion Process 61%
  • Circular Chromatic number 48%
  • Strongly Chordal Graphs 47%

• A Study on Equality Case of Some Numerical Radius Inequalities

  Gau, H.

  1/08/18 → 31/07/19

  Project: Research

  • Numerical Radius 100%
  • Equality 59%
  • Aluthge Transform 39%
  • Polar decomposition 33%
  • Characterization 13%

• A Study on Matrices with Circular Numerical Ranges

  Gau, H.

  1/08/19 → 31/07/20

  Project: Research

  • Unit vector 100%
  • Numerical Radius 72%
  • Weighted Shift 70%
  • Numerical Range 65%
  • Invertible 50%

• A Study on Numerical Radii of Tensor Products and Hadamard Products of Matrices

  Gau, H.

  1/08/20 → 31/07/21

  Project: Research

  • Numerical Range 100%
  • Numerical Radius 70%
  • Operator 39%
  • Unitary Operator 33%
  • Thing 28%

• A Study on Operators with Real Parts at Least - I

  Gau, H.

  1/08/17 → 31/07/18

  Project: Research

  • Numerical Range 100%
  • Diagonal of a matrix 65%
  • Line segment 45%
  • One Dimension 41%
  • Half-plane 40%

• A Study on Some Geometric Invariants on Manifolds(1/2)

  Huang, R.

  1/08/16 → 31/07/17

  Project: Research

  • Circle Action 100%
  • CR Manifold 62%
  • Manifolds with Boundary 54%
  • Asymptotic Formula 45%
  • Analytic Torsion 34%

• A Study on Some Geometric Invariants on Manifolds(2/2)

  Huang, R.

  1/08/17 → 31/07/18

  Project: Research

  • Analytic Torsion 100%
  • Manifolds with Boundary 72%
  • CR Manifold 69%
  • Morse Inequalities 47%
  • Index Theorem 39%

• A Study on Some Spectral Invariants on Cauchy-Riemann Manifolds with Group Action(1/2)

  Huang, R.

  1/08/20 → 31/07/21

  Project: Research

  • CR Manifold 100%
  • Szegö Kernel 68%
  • Compact Lie Group 67%
  • kernel 62%
  • Invariant 59%

• A Study on Zero-Dilation Index of Sn-Matrix and Companion Matrix

  Gau, H.

  1/08/16 → 31/07/17

  Project: Research

  • Numerical Range 100%
  • Companion Matrix 77%
  • Numerical Radius 55%
  • Dilation 51%
  • Contraction 47%

• Behaviors of Solutions to Stochastic Partial Differential Equations(1/2)

  Shiu, S.

  1/08/18 → 31/07/19

  Project: Research

• Behaviors of Solutions to Stochastic Partial Differential Equations(2/2)

  Shiu, S.

  1/08/19 → 31/07/21

  Project: Research

• Besov Spaces Associated to Monge-Ampere Equations(1/2)

  Lee, M.

  1/08/15 → 31/07/16

  Project: Research

  • Campanato Space 100%
  • Hardy Space 68%
  • Lipschitz Spaces 45%
  • G-function 45%
  • Atomic Decomposition 44%

• Besov Spaces Associated to Monge-Ampere Equations(2/2)

  Lee, M.

  1/08/16 → 31/07/17

  Project: Research

  • Carleson Measure 100%
  • Characterization 40%
  • Family 35%
  • Borel Measure 27%
  • Doubling 27%

• Birationality of Pluricanonical System |5k| on Irregular Projective Threefolds of General Type

  Chen, J.

  1/08/19 → 31/07/21

  Project: Research

• Bmo Spaces Associated with a Family of General Sets(1/3)

  Lin, C.

  1/08/17 → 31/07/18

  Project: Research

• Bmo Spaces Associated with a Family of General Sets(2/3)

  Lin, C.

  1/08/18 → 31/07/19

  Project: Research

  • Hardy Space 100%
  • Singular Integrals 92%
  • Boundedness 63%
  • Singular Integral Operator 38%
  • Product Space 37%

• Bmo Spaces Associated with a Family of General Sets(3/3)

  Lin, C.

  1/08/19 → 31/07/21

  Project: Research

  • Singular Integral Operator 100%
  • Besov Spaces 78%
  • Doubling 54%
  • Space of Homogeneous Type 50%
  • Triebel-Lizorkin Space 46%

• Character Formulae in Category O for Periplectic Lie Superalgebras(1/2)

  Chen, C.

  1/10/19 → 31/07/20

  Project: Research

  • Lie Superalgebra 100%
  • Brauer Algebra 23%
  • Character Formula 21%
  • Functor 21%
  • Character 18%

• Characterization of Flag Hardy Space by Maximal Functions(1/2)

  Lee, M.

  1/08/17 → 31/07/18

  Project: Research

  • Hardy Space 100%
  • Littlewood-Paley Function 50%
  • Riesz Transform 42%
  • Surface integral 41%
  • Square Functions 41%

• Characterization of Flag Hardy Space by Maximal Functions(2/2)

  Lee, M.

  1/08/18 → 31/07/19

  Project: Research

  • Singular Integral Operator 100%
  • Doubling 71%
  • Boundedness 70%
  • Hardy Space 64%
  • Triebel-Lizorkin Space 54%

• Construction of Mathematics Workshop and Emathschool on Pad Mobile Device

  Wu, W.

  1/08/16 → 31/07/17

  Project: Research

  • Computer program listings 100%
  • Mobile computing 61%
  • Websites 31%
  • Students 26%

• Convergence Rate and Invariant Measures of Spdes(1/2)

  Shiu, S.

  1/08/20 → 31/07/21

  Project: Research

  • Invariant Measure 100%
  • Convergence Rate 88%
  • Stochastic Heat Equation 69%
  • Allen-Cahn Equation 68%
  • Random Noise 67%

• Deep Inverse Reinforcement Learning for Informative Path Planning(1/3)

  Tseng, K.

  1/08/19 → 31/07/20

  Project: Research

  • Robotics 100%
  • Compressed sensing 93%
  • Remote control 84%
  • Robots 59%
  • Robot applications 54%

• Deep Inverse Reinforcement Learning for Informative Path Planning(2/3)

  Tseng, K.

  1/08/20 → 31/07/21

  Project: Research

  • Unmanned Aerial Vehicle 100%
  • Telerobotics 66%
  • Learning 59%
  • Reinforcement Learning 48%
  • Unmanned aerial vehicles (UAV) 45%

• Deep Inverse Reinforcement Learning for Informative Path Planning(3/3)

  Tseng, K.

  1/08/21 → 31/07/22

  Project: Research

  • Compressed Sensing 100%
  • Reinforcement learning 89%
  • Set theory 85%
  • Compressed sensing 84%
  • Motion planning 70%

• Design and Analysis of Algorithms for (T,R) Broadcast Domination Problems(1/2)

  Liaw, S.

  1/08/17 → 31/07/18

  Project: Research

  • Broadcast 100%
  • Vertex of a graph 80%
  • Domination 38%
  • Grid Graph 33%
  • Resources 24%

• Design and Analysis of Algorithms for (T,R) Broadcast Domination Problems(2/2)

  Liaw, S.

  1/08/18 → 31/07/19

  Project: Research

  • Subdivision 100%
  • Labeling 99%
  • Graph in graph theory 49%
  • Vertex of a graph 37%
  • Broadcast 34%

• Development and Promotion of Applied Mathematics Research in Mathematics Division

  Yang, S.

  1/01/19 → 31/12/19

  Project: Research

• Development and Promotion of Applied Mathematics Research in Mathematics Division

  Yang, S.

  1/01/18 → 31/12/18

  Project: Research

  • mathematics 100%
  • Taiwan 18%

• Development and Promotion of Applied Mathematics Research in Mathematics Division

  Yang, S.

  1/01/17 → 31/12/17

  Project: Research

  • mathematics 100%
  • Taiwan 24%

• Dimension Estimation in Sufficient Dimension Reduction through Pseudo-Covariates

  Huang, S.

  1/08/20 → 31/07/21

  Project: Research

  • Random Field 100%
  • Asymptotic Efficiency 95%
  • Principal Component Analysis 89%
  • Asymptotic Normality 87%
  • Sea Surface Temperature 81%

• Discrete Green$S Functions and the Resistance Distances of Networks(1/3)

  Yeh, H.

  1/08/17 → 31/07/18

  Project: Research

• Discrete Green$S Functions and the Resistance Distances of Networks(2/3)

  Yeh, H.

  1/08/18 → 31/07/19

  Project: Research

• Discrete Green$S Functions and the Resistance Distances of Networks(3/3)

  Yeh, H.

  1/08/19 → 31/07/21

  Project: Research

• Exact Isotropic Tori in Symplectic C^M

  Yau, M.

  1/08/16 → 30/11/17

  Project: Research

  • Torus 100%
  • Isotopy 59%
  • Monotone 29%
  • Topology 26%
  • Submanifolds 22%

• Existence and Uniqueness of Solutions to the Variational Non-Linear Neumann Problem

  Nhieu, D.

  1/08/17 → 31/07/18

  Project: Research

  • Variational Solution 100%
  • Sub-Laplacian 98%
  • Neumann Problem 77%
  • Vector Field 60%
  • Existence and Uniqueness 54%

• Extension, Restriction of Sub-Elliptic Besov Space on Domains

  Nhieu, D.

  1/08/19 → 31/07/20

  Project: Research

• FlagHardy空間理論(1/2)

  Lee, M.

  1/08/21 → 31/07/22

  Project: Research

• FlagHardy空間理論(2/2)

  Lee, M.

  1/08/22 → 31/07/23

  Project: Research

• Free Boundary Problems Concerning the Interaction of Elastic Shells with Viscous or Invicid Fluids, the Flows in Porous Media with Non-Uniform Porosity(1/2)

  Cheng, C.

  1/08/16 → 31/07/17

  Project: Research

  • Free Boundary Problem 100%
  • Viscous Fluid 95%
  • Shell 94%
  • Diffeomorphism 89%
  • Interaction 68%

• Free Boundary Problems Concerning the Interaction of Elastic Shells with Viscous or Invicid Fluids, the Flows in Porous Media with Non-Uniform Porosity(2/2)

  Cheng, C.

  1/08/17 → 31/07/18

  Project: Research

  • Free Boundary Problem 100%
  • Viscous Fluid 95%
  • Shell 94%
  • Diffeomorphism 89%
  • Interaction 68%