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
• 17 Not started
• 24 Active
• 128 Finished

Projects per year

Search results

• Finished

  TadReamk Limited

  XU, Y. D. (PI)

  1/04/23 → 31/03/25

  Project: Knowledge transfer project

• Computational models for health management system using multi-source data

  ZHANG, L. (PI), CHEUNG, K. W. (CoPI) & FAN, J. (CoPI)

  1/09/22 → 31/08/24

  Project: Research project

  • Machine Learning Models 100%
  • Polygenic Score 95%
  • Polygenic Risk Score 88%
  • Genetic Determinism 76%
  • Non-genetic Factors 57%

• Optimising the design of support structures in additive manufacturing with phase fields

  LAM, K. F. (PI)

  1/01/22 → 31/12/24

  Project: Research project

  • Phase Field 100%
  • Additive Manufacturing 75%
  • Support Structure 58%
  • Structural Topology Optimization 37%
  • Numerical Simulation 33%

• Developing new models and methods for meta-analysis

  TONG, T. (PI)

  1/01/22 → 31/12/24

  Project: Research project

  • Simulation Study 100%
  • Meta-Analysis 90%
  • Sharpe Ratio 90%
  • Null 83%
  • Asymptotic Properties 60%

• Model Checking for Parametric Ordinary Differential Equations Systems

  ZHU, L. (PI)

  1/01/22 → 31/12/24

  Project: Research project

  • Ordinary Differential Equation 100%
  • Asymptotic Properties 66%
  • Null 66%
  • System of Ordinary Differential Equations 50%
  • Fixed Design 50%

• An intrinsic formulation for radial basis function finite difference methods of partial differential equations on manifolds

  LING, L. (PI)

  1/01/22 → 31/12/24

  Project: Research project

  • Radial Basis Function 100%
  • Least Square 93%
  • RBF-FD 74%
  • Partial Differential Equation 74%
  • Basis Function 71%

• Nonnegative Low Multi-Rank Transformed Tensor Approximation and its Applications

  NG, K. P. (PI)

  1/01/22 → 31/12/24

  Project: Research project

  • Total Variation 100%
  • Matrix (Mathematics) 96%
  • Regularization 81%
  • Tensor 71%
  • Convolutional Neural Network 67%

• Preconditioning for Toeplitz-like Systems in Evolutionary Differential Equations

  HON, S. Y. S. (PI), Serra-Capizzano, S. (Collaborator) & Lin, X. (Collaborator)

  1/07/21 → 30/06/24

  Project: Research project

  • Matrix (Mathematics) 100%
  • Minimal Residual Method 78%
  • Preconditioned Matrix 58%
  • Linear System 54%
  • Eigenvalue 53%

• Estimation of conditional M-quantile treatment effect

  ZHU, L. (PI)

  1/01/21 → 30/06/24

  Project: Research project

  • Treatment Effect 100%
  • Conditionals 100%
  • Semi-parametric 53%
  • Conditional Average Treatment Effect 50%
  • Covariate 46%

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

  LAM, K. F. (PI) & Zou, J. (CoI)

  1/01/21 → 30/06/24

  Project: Research project

  • Diffuse Interface 100%
  • Micropolar Fluid Flow 100%
  • Mathematical Modeling 100%
  • Mathematical Analysis 100%
  • Discrete Solution 100%

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

  NG, K. P. (PI) & ZHENG, G. (CoI)

  1/01/21 → 30/06/24

  Project: Research project

  • Regularization 100%
  • Total Variation 89%
  • Matrix (Mathematics) 89%
  • Tensor 84%
  • Color Image 68%

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

  CHENG, M.-Y. (PI)

  1/01/21 → 30/06/24

  Project: Research project

  • Covariate 100%
  • Functional Data 100%
  • Simulation Study 85%
  • Functional Regression 66%
  • Testing Specifications 66%

• Learning theory of outcome weighted schemes and related topics

  FAN, J. (PI)

  1/01/21 → 30/06/24

  Project: Research project

  • Functional Linear Regression 100%
  • Hilbert Space 100%
  • Linear Regression Analysis 100%
  • Functional Data 83%
  • Loss Function 72%

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

  LING, L. (PI)

  1/01/21 → 31/12/23

  Project: Research project

  • Pattern Formation 100%
  • Least Square 100%
  • Finite Difference Method 62%
  • Error Estimate 62%
  • Normal Vector 50%

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

  LIAO, L. (PI)

  1/12/20 → 31/05/23

  Project: Research project

  • Neural Network 100%
  • Optimization Problem 71%
  • Orthogonality Constraint 71%
  • Discrete-time Neural Networks 71%
  • Partial Orthogonality 71%

• Mathematical framework for hyperbolic metamaterial

  WU, W. (PI)

  1/09/20 → 31/08/23

  Project: Research project

  • Hyperbolic Metamaterials 100%
  • Mathematical Framework 100%
  • Metamaterial 100%
  • Far-field Behavior 25%
  • Scattering Theory 25%

• Order determination for large dimensional matrices and its application

  ZHU, L. (PI)

  1/01/20 → 30/06/23

  Project: Research project

  • Order Determination 100%
  • Ridge Ratio 100%
  • Eigenvalue 100%
  • Ridge 83%
  • Eigenvalues 75%

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

  TAI, X.-C. (PI)

  1/01/20 → 31/12/22

  Project: Research project

  • Image Segmentation 100%
  • Regularization 93%
  • Convolutional Neural Network 61%
  • Total Variation 61%
  • Level Set 55%

• On the Asymptotics of Least-squares Kernel Collocation Methods

  LING, L. (PI)

  1/01/20 → 31/12/22

  Project: Research project

  • Least Square 100%
  • Least-squares Collocation Method 50%
  • Surface Diffusion 50%
  • Pattern Formation 50%
  • Partial Differential Equation 43%

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

  FAN, J. (PI)

  1/01/20 → 30/06/23

  Project: Research project

  • Functional Data 100%
  • Loss Function 94%
  • Hilbert Space 77%
  • Regression Function 76%
  • Rectified Linear Unit (ReLU) 75%

• Preconditioning Methods for Inverse Source Problem in Fractional Diffusion Equations

  NG, K. P. (PI)

  1/01/20 → 30/06/23

  Project: Research project

  • Tensor 100%
  • Regularization 86%
  • Matrix (Mathematics) 81%
  • Total Variation 51%
  • Rank Tensor 49%

• Computational Methods for Inverse Scattering Problems with Incomplete Data

  WU, W. (PI)

  1/09/19 → 31/08/22

  Project: Research project

  • Wave Field 100%
  • Incomplete Data 83%
  • Elastic Body 83%
  • Inverse Scattering Problem 83%
  • Coupled Waves 83%

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

  LAM, K. F. (PI)

  1/09/19 → 28/02/23

  Project: Research project

  • Source Term 100%
  • Phase Field 87%
  • Singular Source Term 75%
  • Singular Potential Term 75%
  • Mass Source 75%

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

  LIAO, L. (PI)

  1/09/19 → 28/02/23

  Project: Research project

  • Hierarchical Alternating Least Squares 100%
  • Factorization 100%
  • Matrix (Mathematics) 100%
  • Least Square 100%
  • Neural Network 65%

• Weighted Tubal Decompositions for Tensors with Applications in Image Processing

  DING, W. (PI)

  1/09/19 → 28/02/23

  Project: Research project

  • Rectified Linear Unit (ReLU) 100%
  • Functional Data 100%
  • Continuous Functionals 75%
  • Approximates 75%
  • Neural Network 75%

• Meshfree Methods for Coupled Bulk-Surface Problems

  LING, L. (PI)

  1/01/19 → 30/06/22

  Project: Research project

  • Kernel-based 100%
  • Kernel-based Collocation Methods 100%
  • Pattern Formation 100%
  • Partial Differential Equation 76%
  • Meshfree Method 75%

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

  ZHU, L. (PI)

  1/01/19 → 31/12/22

  Project: Research project

  • Null 100%
  • Empirical Process 66%
  • Global Smoothing 66%
  • Adaptive-to-model 66%
  • Nonparametric Estimation 66%

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

  LIU, H. (PI)

  1/01/19 → 30/06/21

  Project: Research project

  • Scattering Problem 100%
  • Eigenvector 93%
  • Plasmonics 81%
  • Far-field Pattern 81%
  • Eigenfunctions 70%

• Mathematical studies of a phase field approach to shape optimization

  LAM, K. F. (PI) & Garcke, H. (CoI)

  1/01/19 → 30/06/22

  Project: Research project

  • Phase Field 100%
  • Phase-field Approach 95%
  • Shape Optimization 77%
  • Mathematical Study 66%
  • Optimality Conditions 51%

• Decomposition and analysis of massive point-sources in motion

  CHUI, C.K.-T. (PI)

  1/01/19 → 31/12/21

  Project: Research project

  • Instantaneous Frequency 100%
  • Deep Learning Method 76%
  • Deep Learning 60%
  • Deep Nets 53%
  • Blind Source 53%

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

  PENG, H. (PI)

  1/01/19 → 30/06/22

  Project: Research project

  • Statistical Efficiency 100%
  • Coefficient Function 100%
  • Real Data 87%
  • Finite Sample Performance 62%
  • Statistical Computing 60%

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

  TONG, T. (PI)

  1/12/18 → 31/05/22

  Project: Research project

  • Simulation Study 100%
  • Ratio Function 90%
  • Sharpe Ratio 90%
  • Dimensional Data 90%
  • Statistical Hypothesis Testing 90%

• Mathematical analysis of kernel based modal regression schemes

  FAN, J. (PI)

  1/09/18 → 28/02/22

  Project: Research project

  • Modal Regression 100%
  • Gaussian Distribution 75%
  • Quantile Regression 75%
  • Regression Function 60%
  • Scale Parameter 60%

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

  WANG, Y. (PI)

  1/09/18 → 31/08/21

  Project: Research project

  • Eigenvalue Problem 100%
  • Wave Equation 100%
  • Invisibility 100%
  • Inverse Scattering 100%
  • Eigenvalue 100%

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

  ZHANG, J. (PI)

  1/08/18 → 31/07/21

  Project: Research project

  • Error Bound 100%
  • Convergence Rate 100%
  • Metrics 100%
  • Variational Analysis 100%
  • Randomized Block-coordinate 100%

• SIAM Conference on Applied Linear Algebra 2018

  NG, K. P. (PI)

  4/05/18 → 8/05/18

  Project: Research project

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

  KWOK, W. H. F. (PI)

  1/01/18 → 31/12/20

  Project: Research project

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

  LING, L. (PI)

  1/01/18 → 31/12/20

  Project: Research project

  • Overtesting 100%
  • Partial Differential Equation 100%
  • Meshfree Method 75%
  • Parabolic 75%
  • Parabolic Equation 75%

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

  PANG, A. (PI)

  1/01/18 → 30/06/21

  Project: Research project

  • Hopf Algebras 100%
  • Markov Chain 90%
  • Combinatorial Hopf Algebras 54%
  • Hopf Algebra 46%
  • Eigenvalues 41%

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

  ZHU, L. (PI)

  1/01/18 → 31/12/20

  Project: Research project

  • Double Ridge 100%
  • Ridge Ratio 100%
  • Ridge 100%
  • Numerical Analysis 100%
  • Thresholding 100%

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

  CHUI, C.K.-T. (PI)

  1/10/17 → 30/09/20

  Project: Research project

  • Deep Nets 100%
  • Deep Learning Method 98%
  • Realization 73%
  • Instantaneous Frequency 64%
  • Deep Learning 63%

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

  TONG, T. (PI)

  1/07/17 → 30/06/19

  Project: Research project

  • RNA-seq Data 100%
  • Hypothesis Testing 50%
  • Differential Expression Analysis 50%
  • Statistical Normalization 50%
  • Normalization Method 50%

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

  NG, K. P. (PI)

  1/02/17 → 31/07/19

  Project: Research project

• Analysis of multivariate spatial point patterns

  CHIU, S. N. (PI)

  1/01/17 → 30/06/20

  Project: Research project

  • Shape Parameter 100%
  • Random Shape 50%
  • Value Function Approximation 50%
  • Variable Shape 50%
  • Skewness Parameter 50%

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

  ZHU, L. (PI)

  1/01/17 → 31/12/19

  Project: Research project

  • Covariate 100%
  • Parametric 97%
  • Dimensionality Reduction 90%
  • Adaptive-to-model Test 75%
  • Adaptive-to-model 62%

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

  LI, Y. (PI)

  1/09/16 → 31/08/19

  Project: Research project

  • Index Theorem 100%
  • Contact Manifold 100%
  • Heat Kernel 100%
  • Subelliptic Operators 100%
  • Kernel Approach 100%

• Super-resolution imaging through inverse scattering problems

  WANG, Y. (PI)

  1/09/16 → 31/08/19

  Project: Research project

  • Scattering Problem 100%
  • Interior Transmission Eigenvalues 80%
  • Eigenvector 80%
  • Boundary Value Problems 68%
  • Eigenvalue Problem 60%

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

  NG, K. P. (PI)

  1/06/16 → 31/05/19

  Project: Research project

  • Experimental Result 100%
  • Image Reconstruction 81%
  • Numerical Example 81%
  • Segmentation-based 61%
  • Morphological Characteristics 61%

• Time-Parallelization Methods for Control

  KWOK, W. H. F. (PI)

  1/01/16 → 31/12/17

  Project: Research project

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

  PENG, H. (PI)

  1/01/16 → 30/06/19

  Project: Research project

  • Coefficient Function 100%
  • Real Data 94%
  • Simulation Study 91%
  • Finite Sample Performance 88%
  • Parametric 74%