Department of Mathematics

Projects

Projects per year 2003 2008 2009 2010 2011 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2027

• 7 Curtailed
• 21 Active
• 26 Not started
• 122 Finished

Projects per year

Search results

• Finished

  Computational models for health management system using multi-source data

  ZHANG, L., CHEUNG, K. W. & FAN, J.

  1/09/22 → 31/08/24

  Project: Research project

  • Machine Learning 100%
  • Learning Model 66%
  • Machine learning 64%
  • Prediction 36%
  • Data Sources 21%

• Preconditioning for Toeplitz-like Systems in Evolutionary Differential Equations

  HON, S. Y. S., Serra-Capizzano, S. & Lin, X.

  1/07/21 → 30/06/24

  Project: Research project

  • Preconditioner 100%
  • MINRES 71%
  • Linear systems 66%
  • Otto Toeplitz 53%
  • Preconditioning 39%

• Kernel-based approximation methods for curvatures estimations and applications on raw point clouds

  LING, L.

  1/01/21 → 31/12/23

  Project: Research project

  • Derivatives 100%
  • Set theory 39%
  • Geometry 36%

• Estimation of conditional M-quantile treatment effect

  ZHU, L.

  1/01/21 → 30/06/24

  Project: Research project

  • Quantile 100%
  • Treatment Effects 82%
  • Causal Effect 66%
  • Propensity Score 34%
  • Bias Correction 32%

• Modelling and analysis of diffuse interface models for two-phase micropolar fluid flows

  LAM, K. F. & Zou, J.

  1/01/21 → 30/06/24

  Project: Research project

  • Flow of fluids 100%
  • Fluids 95%
  • Mathematical models 51%

• Learning theory of outcome weighted schemes and related topics

  FAN, J.

  1/01/21 → 30/06/24

  Project: Research project

  • Personalized medicine 100%
  • Hilbert spaces 92%
  • Descent Algorithm 87%
  • Gradient Descent 85%
  • Gradient Algorithm 84%

• Phase Retrieval of Color Images: Analysis, Algorithms and Applications

  NG, K. P. & ZHENG, G.

  1/01/21 → 30/06/24

  Project: Research project

  • Color 100%
  • Microscopic examination 50%
  • Imaging techniques 47%
  • Mathematical models 31%
  • Recovery 31%

• Essence codings in functional linear regression: identification, interpretation and application

  CHENG, M.

  1/01/21 → 30/06/24

  Project: Research project

  • Stochastic Frontier 100%
  • Specification Testing 99%
  • Stochastic Frontier Analysis 76%
  • Banking 73%
  • Coding 63%

• Neurodynamical Approach for Optimization Problems with Partial Orthogonality Constraints in Supervised Learning

  LIAO, L.

  1/12/20 → 31/05/23

  Project: Research project

  • Alternating Least Squares 100%
  • Non-negative Matrix Factorization 98%
  • Least Square Method 68%
  • Factorization 65%
  • Symmetric matrix 62%

• Mathematical framework for hyperbolic metamaterial

  WU, W.

  1/09/20 → 31/08/23

  Project: Research project

  • Metamaterials 100%
  • Scattering 35%
  • Anisotropic media 14%
  • Elastic waves 11%
  • Electromagnetic waves 9%

• On the Asymptotics of Least-squares Kernel Collocation Methods

  LING, L.

  1/01/20 → 31/12/22

  Project: Research project

  • Surface diffusion 100%
  • Partial differential equations 96%
  • Surface Diffusion 95%
  • Least Square Method 68%
  • Collocation 64%

• Analysis of kernel-based learning and testing schemes for large-scale data

  FAN, J.

  1/01/20 → 30/06/23

  Project: Research project

  • Chemical activation 100%
  • Margin 85%
  • Comparison Theorem 77%
  • Learning algorithms 74%
  • Deep neural networks 72%

• Efficient Splitting And Preconditioning Algorithms For Total Variation And Elastica Energy Minimization For Variational Image Processing And Computer Vision

  TAI, X.

  1/01/20 → 31/12/22

  Project: Research project

  • Image Segmentation 100%
  • Image segmentation 74%
  • Regularization 62%
  • Elastica 52%
  • Min-cut 50%

• Preconditioning Methods for Inverse Source Problem in Fractional Diffusion Equations

  NG, K. P.

  1/01/20 → 30/06/23

  Project: Research project

  • Derivatives 100%
  • Linear systems 47%
  • Iterative methods 37%
  • Spectrum analysis 17%
  • Decomposition 12%

• Order determination for large dimensional matrices and its application

  ZHU, L.

  1/01/20 → 30/06/23

  Project: Research project

  • Canonical Correlation Analysis 100%
  • Approximate Model 94%
  • Factor Models 94%
  • Spike 85%
  • Principal Components 82%

• Interior Point Polynomial-Time Algorithms for Linearly Constrained Convex Programming

  LIAO, L.

  1/09/19 → 28/02/23

  Project: Research project

  • Alternating Least Squares 100%
  • Non-negative Matrix Factorization 98%
  • Convex Programming 74%
  • Least Square Method 68%
  • Symmetric matrix 62%

• Computational Methods for Inverse Scattering Problems with Incomplete Data

  WU, W.

  1/09/19 → 31/08/22

  Project: Research project

  • Scattering 100%
  • Computational methods 55%
  • Numerical methods 46%
  • Physical optics 38%
  • Fourier series 31%

• On Cahn-Hilliard models with singular potentials and source terms

  LAM, K. F.

  1/09/19 → 28/02/23

  Project: Research project

  • uniqueness 100%
  • maintenance 90%
  • regularity 89%
  • tumors 82%
  • Singular Potential 71%

• Weighted Tubal Decompositions for Tensors with Applications in Image Processing

  DING, W.

  1/09/19 → 28/02/23

  Project: Research project

  • Saddle Point Problems 100%
  • Splitting Method 94%
  • Skew 76%
  • Nonlinear Problem 72%
  • Tensor 68%

• Mathematical analysis on scattering from corner singularities, inverse shape problems and geometric structures of transmission eigenfunctions

  LIU, H.

  1/01/19 → 30/06/21

  Project: Research project

  • Plasmonics 100%
  • Eigenvalues and eigenfunctions 59%
  • Plasmon 53%
  • Scattering 53%
  • Plasmons 49%

• Meshfree Methods for Coupled Bulk-Surface Problems

  LING, L.

  1/01/19 → 30/06/22

  Project: Research project

  • Surface diffusion 100%
  • Surface Diffusion 95%
  • Partial differential equations 82%
  • Least Square Method 68%
  • Collocation 64%

• Mathematical studies of a phase field approach to shape optimization

  LAM, K. F. & Garcke, H.

  1/01/19 → 30/06/22

  Project: Research project

  • Phase Field 100%
  • Shape Optimization 29%
  • Tumor 28%
  • Nutrients 21%
  • Cahn-Hilliard Equation 21%

• Model checking for regressions: local smoothing-based tests with global smoothing features

  ZHU, L.

  1/01/19 → 31/12/22

  Project: Research project

  • Local Smoothing 100%
  • Smoothing 48%
  • Alternatives 33%
  • High-dimensional 29%
  • Regression 27%

• Decomposition and analysis of massive point-sources in motion

  CHUI, C. K.

  1/01/19 → 31/12/21

  Project: Research project

  • Stars 100%
  • Cells 95%
  • Cosmology 65%
  • Decomposition 56%
  • Cytology 56%

• Trade-offs between Statistical Efficiency and Complexity of Computation by Discretization and Partial Consistency

  PENG, H.

  1/01/19 → 30/06/22

  Project: Research project

  • Screening 100%
  • Computational complexity 87%
  • Computer science 71%
  • Biomedical engineering 47%
  • Software packages 34%

• Some new developments in hypothesis testing for high-dimensional data

  TONG, T.

  1/12/18 → 31/05/22

  Project: Research project

  • t-distribution 100%
  • t-test 91%
  • Joint Estimation 86%
  • Local Likelihood 85%
  • Shrinkage 78%

• Eigenvalue Problems for Wave Equations with Applications in Invisibility and Inverse Scattering

  WANG, Y.

  1/09/18 → 31/08/21

  Project: Research project

  • Scattering 100%
  • Wave equations 53%
  • Eigenvalues and eigenfunctions 44%
  • Approximation theory 31%
  • Helmholtz equation 31%

• Mathematical analysis of kernel based modal regression schemes

  FAN, J.

  1/09/18 → 28/02/22

  Project: Research project

  • Regression 100%
  • Statistical Learning 87%
  • kernel 25%
  • Functional Data 22%
  • Reproducing Kernel Hilbert Space 21%

• Linear convergence of the (randomized block coordinate) proximal gradient methods via variational analysis

  ZHANG, J.

  1/08/18 → 31/07/21

  Project: Research project

  • Proximal Methods 100%
  • Gradient Method 84%
  • Calmness 43%
  • Linear Convergence 35%
  • Variational Analysis 28%

• SIAM Conference on Applied Linear Algebra 2018

  NG, K. P.

  4/05/18 → 8/05/18

  Project: Research project

• Meshfree methods for parabolic equations based on weighted least-squares

  LING, L.

  1/01/18 → 31/12/20

  Project: Research project

  • Partial differential equations 100%
  • Surface diffusion 77%
  • Surface Diffusion 73%
  • Least Square Method 52%
  • Collocation 50%

• Markov Chains driven by Permuted and Hyperoctahedral Descent Operators on Combinatorial Hopf Algebras

  PANG, C. Y. A.

  1/01/18 → 30/06/21

  Project: Research project

  • Descent 100%
  • Hopf Algebra 81%
  • Markov chain 61%
  • Operator 46%
  • Eigenvalue 41%

• Thresholding double ridge ratio criteria for order determination and their applications

  ZHU, L.

  1/01/18 → 31/12/20

  Project: Research project

  • Thresholding 100%
  • Ridge 96%
  • Single-index Model 82%
  • Dimensionality 63%
  • Biased 58%

• Space-time B-methods for the integration of nonlinear parabolic PDEs with blow-up

  KWOK, W. H. F.

  1/01/18 → 31/12/20

  Project: Research project

• Data-driven Atomic Decomposition by Getting Around the Uncertainty Barriers

  CHUI, C. K.

  1/10/17 → 30/09/20

  Project: Research project

  • Magnetic resonance spectroscopy 100%
  • Super-resolution 89%
  • Fluorescence microscopy 86%
  • Astronomy 78%
  • Isotopes 72%

• Data transformation for meta-analysis with application to evidence-based medicine

  TONG, T.

  1/07/17 → 30/06/19

  Project: Research project

  • RNA 100%
  • RNA-Seq 96%
  • Sequencing 61%
  • Differential Expression 51%
  • Gene 46%

• Deep Learning-Based Trading System for Energy-Relevant Financial Products

  NG, K. P.

  1/02/17 → 31/07/19

  Project: Research project

• Nonparametric generalized likelihood ratio test and significant testing for regressions: dimension reduction approaches

  ZHU, L.

  1/01/17 → 31/12/19

  Project: Research project

  • Dimension Reduction 100%
  • Regression 47%
  • Model Checking 45%
  • Single-index Model 45%
  • Covariates 45%

• Analysis of multivariate spatial point patterns

  CHIU, S. N.

  1/01/17 → 30/06/20

  Project: Research project

  • Shape Parameter 100%
  • Monte Carlo Test 87%
  • Constrained Estimation 84%
  • Local Smoothing 79%
  • Quasi-Monte Carlo Methods 76%

• The index theorem for subelliptic operators on contact manifolds -- A heat kernel approach

  LI, Y.

  1/09/16 → 31/08/19

  Project: Research project

  • Heat Kernel 100%
  • Index Theorem 80%
  • Michael Francis Atiyah 79%
  • Contact Manifold 48%
  • Rescaling 30%

• Super-resolution imaging through inverse scattering problems

  WANG, Y.

  1/09/16 → 31/08/19

  Project: Research project

  • Scattering 100%
  • Boundary value problems 60%
  • Elastic waves 54%
  • Asymptotic analysis 46%
  • spine 46%

• Efficient Algorithms and Hardware Accelerators for Tensor Decomposition and Their Applications to Multidimensional Data Analysis

  NG, K. P.

  1/06/16 → 31/05/19

  Project: Research project

  • Tensors 100%
  • Membranes 33%
  • Tensor 32%
  • Embryo 31%
  • PageRank 28%

• Time-Parallelization Methods for Control

  KWOK, W. H. F.

  1/01/16 → 31/12/17

  Project: Research project

• Asymptotic methods for spatial point processes

  CHIU, S. N.

  1/01/16 → 31/12/18

  Project: Research project

  • Spatial Point Process 100%
  • Shape Parameter 92%
  • Monte Carlo Test 81%
  • Local Smoothing 73%
  • Quasi-Monte Carlo Methods 71%

• Block Laplacian Matrices, Spectral Clustering and Eigendecomposition

  NG, K. P.

  1/01/16 → 31/12/18

  Project: Research project

  • Tensors 100%
  • Graph Clustering 78%
  • Spectral Clustering 77%
  • Clustering Methods 60%
  • Markov chains 56%

• Revisiting the generalized likelihood ratio test and its related nonparametric regression inference problems

  PENG, H.

  1/01/16 → 30/06/19

  Project: Research project

  • Semiparametric Regression 100%
  • Semiparametric Regression Model 98%
  • Multiplicative Model 91%
  • Competing Risks 82%
  • Estimator 81%

• Sufficient dimension reduction with mixture multivariate skew-elliptical distributions

  ZHU, L.

  1/01/16 → 30/06/19

  Project: Research project

  • Sufficient Dimension Reduction 100%
  • Dimension Reduction 73%
  • Elliptical Distribution 71%
  • Skew 63%
  • Central Subspace 41%

• Time Domain Decomposition for Optimal Control Problems

  Kwok, F. W.

  1/09/15 → 31/08/18

  Project: Research project

  • Partial differential equations 100%
  • Decomposition 48%
  • Cluster computing 44%
  • Advection 42%
  • Radiotherapy 41%

• Computational Solution of Nonlinear Integro-differential Equations

  BRUNNER, H.

  1/09/15 → 28/02/19

  Project: Research project

  • Integral equations 100%
  • Volterra Integral Equations 90%
  • Integrodifferential equations 84%
  • Collocation 72%
  • Collocation Method 71%

• Uniqueness, Reconstruction Algorithms and Invisibility Cloaking for Inverse Scattering Problems

  LIU, H.

  1/09/15 → 31/08/18

  Project: Research project

  • Scattering 100%
  • Electromagnetic Wave 69%
  • Imaging 66%
  • Electromagnetic waves 63%
  • Gesture 59%