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

• Active

  Novel Models and Efficient Methods for Surface Reconstruction and Fairing

  LIU, H.

  1/01/24 → 31/12/26

  Project: Research project

  • Deep neural networks 100%
  • Image segmentation 97%
  • Potts model 85%
  • Surface reconstruction 58%
  • Mathematical operators 23%

• 基于核密度估计的有监督学习算法及其理论 Kernel Density Estimation Driven Supervised Learning: Algorithms and Theory

  FAN, J. & ZHANG, Y.

  1/01/24 → 31/12/26

  Project: Research project

  • Learning algorithms 100%
  • Supervised learning 63%
  • Deep learning 35%
  • Hilbert spaces 26%
  • Deep neural networks 19%

• Statistical inference for inverse binomial proportion and dependent p-values

  TONG, T.

  1/01/24 → 31/12/26

  Project: Research project

  • Rare Events 100%
  • p-Value 85%
  • Statistical Inference 77%
  • Proportion 71%
  • Evidence 66%

• Approximation analysis of outcome weighted learning by convolutional neural networks

  FAN, J.

  1/01/24 → 31/12/26

  Project: Research project

  • Convolutional neural networks 100%
  • Learning algorithms 75%
  • Deep neural networks 71%
  • Personalized medicine 26%
  • Probability distributions 17%

• High dimensional inference via kernel convolution smoothing

  ZHOU, L.

  1/01/24 → 31/12/26

  Project: Research project

  • High-dimensional 100%
  • Finance 48%
  • Regression 46%
  • Canonical Model 40%
  • Wald Test 40%

• Thermoelasticity with phase transitions for 4D printing: diffuse interface models and mathematical analysis

  LAM, K. F.

  1/01/24 → 31/12/26

  Project: Research project

  • Intelligent materials 100%
  • Shape-memory polymer 68%
  • Phase transitions 50%
  • Medical robotics 26%
  • Bending (deformation) 24%

• New methods for solving nonconvex and singular generalized Nash equilibrium problems via polynomial optimization

  TANG, X. & Qu, Z.

  1/09/23 → 31/08/26

  Project: Research project

  • Polynomials 100%
  • Numerical methods 21%
  • Set theory 15%

• TadReamk Limited

  XU, Y. D.

  1/04/23 → 31/03/25

  Project: Knowledge transfer project

• Kernel-based hybrid methods for convection-dominated equations on surfaces

  LING, L.

  1/01/23 → …

  Project: Research project

  • Partial differential equations 100%
  • Convection 25%
  • Advection 21%
  • Conservation 8%
  • Numerical methods 7%

• Data-driven PDE learning

  LIU, H.

  1/01/23 → 31/12/25

  Project: Research project

• Phase field modeling, calibration and experimental design for Stereolithography in 3D printing

  LAM, K. F.

  1/01/23 → 31/12/25

  Project: Research project

  • Stereolithography 100%
  • Calibration 55%
  • 3D printers 53%
  • Design of experiments 50%
  • Mathematical models 37%

• Applications of Determining the number of mixture components in Multiple Change-Point Detection and Mixture of the Experts System

  PENG, H.

  1/01/23 → …

  Project: Research project

  • Cox Model 100%
  • Latent Class Model 96%
  • Finite Mixture Models 92%
  • Apathy 88%
  • Latent Class 88%

• Statistical modeling and inference for multivariate functional responses

  CHENG, M.

  1/01/23 → …

  Project: Research project

  • Functional Data 100%
  • Multivariate Data 73%
  • Functional Response 73%
  • Multivariate Response 70%
  • Trends 49%

• Nonlinear Eigen-Approach for Optimization on Stiefel Manifolds Arising from Machine Learning

  XU, Y. D.

  1/07/22 → 30/06/25

  Project: Research project

  • Machine learning 100%
  • Data Science 61%
  • Constrained optimization 49%
  • Eigenvalues and eigenfunctions 47%
  • Noise abatement 46%

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

  LAM, K. F.

  1/01/22 → 31/12/24

  Project: Research project

  • 3D printers 100%

• Model Checking for Parametric Ordinary Differential Equations Systems

  ZHU, L.

  1/01/22 → 31/12/24

  Project: Research project

  • Smoothing 100%
  • Null 74%
  • Asymptotic Properties 70%
  • Ordinary differential equation 63%
  • Model Checking 61%

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

  NG, K. P.

  1/01/22 → 31/12/24

  Project: Research project

  • Non-negative 100%
  • Tensor Rank 91%
  • Tensor 63%
  • Approximation 22%
  • Singular value decomposition 18%

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

  LING, L.

  1/01/22 → 31/12/24

  Project: Research project

  • Partial differential equations 100%
  • Computer graphics 72%
  • Finite difference method 68%
  • Cell membranes 45%
  • Magnetic resonance imaging 35%

• Hyperspectral Image Restoration, Unmixing, and Classification by Low-Rank Tensor Recovery, Nonlocal Self-Similarity, and Deep Priors

  NG, K. P., Gao, L., Zhuang, L., Wu, J., Wu, H., Wu, Y., Sun, X. & Zhao, B.

  1/01/22 → 31/12/25

  Project: Research project

  • Tensors 100%
  • Image reconstruction 78%
  • Spectral resolution 73%
  • Earth (planet) 63%
  • Image classification 53%

• Developing new models and methods for meta-analysis

  TONG, T.

  1/01/22 → 31/12/24

  Project: Research project

  • Local Likelihood 100%
  • t-test 83%
  • t-distribution 82%
  • Sharpe Ratio 81%
  • Meta-analysis 71%

• Statistical modeling for nonstationary time series and functional time series with dynamical periodic structures and covariate effects

  CHENG, M.

  1/01/22 → 31/12/24

  Project: Research project

  • Covariates 100%
  • Time series 73%
  • Trends 70%
  • Change Point 53%
  • Periodic Sequence 44%
• Not started

  Learning Theory of Distributed Mirror Descent on Some Typical Banach Spaces and Related Topics

  YU, Z.

  1/01/25 → 31/12/27

  Project: Research project

  • Mirrors 100%
  • Banach spaces 42%
  • Supervised learning 34%
  • Learning algorithms 27%
  • Hilbert spaces 21%

• 基于核的去中心化分布式泛函学习体系的逼近分析

  YU, Z.

  1/01/25 → 31/12/27

  Project: Research project

• 时空分数阶偏微分方程的最优预处理算法

  HON, S. Y. S.

  1/01/25 → 31/12/27

  Project: Research project

• Nonparametric variable selection and semiparametric structure identification in high dimension

  CHENG, M.

  1/01/25 → 31/12/27

  Project: Research project

  • Structure Identification 100%
  • Asthma 90%
  • Variable Selection 87%
  • Semiparametric Regression Model 49%
  • High-dimensional Data 27%

• Generalization analysis of operator learning by deep neural networks

  FAN, J.

  1/01/25 → 31/12/27

  Project: Research project

  • Neural networks 100%
  • Deep neural networks 80%
  • Mathematical operators 37%
  • Network architecture 19%
  • Convolutional neural networks 18%

• Efficient regression methods for flexible high dimensional models with heavy-tailed error

  ZHOU, L. & Zou, H.

  1/01/25 → 31/12/27

  Project: Research project

  • High-dimensional 100%
  • High-dimensional Data 84%
  • Rank Regression 75%
  • Estimator 73%
  • Genomics 57%

• Efficiency and Fairness Dual Focus: The Neyman-Pearson Approach

  YAO, S.

  1/01/25 → 31/12/27

  Project: Research project

  • Labels 100%
  • Classifiers 66%
  • Decision making 34%
  • Finance 27%
  • Banking 26%

• Advancements in Meshfree Methods for Hyperbolic Conservation Laws on High-Dimensional Manifolds

  LING, L. & DON, W. S.

  1/01/25 → 31/12/27

  Project: Research project

  • Conservation 100%
  • Surface roughness 42%
  • Physics 29%
  • Meteorology 24%
  • Wave equations 21%

• Some theoretical and numerical studies for inverse problems in wave propagations

  LIU, H.

  Project: Research project

  • Plasmonics 100%
  • Plasmon 53%
  • Scattering 53%
  • Plasmons 49%
  • Anomalous 44%

• Appointed Mainland Postdoctoral Fellows (汪賢超)

  LIU, H.

  Project: Research project

• Splitting Algorithms via Positive-Indefinite Proximal Regularization for Convex Programming

  YUAN, X.

  Project: Research project

• Study on large-scale bilevel programming: optimality and algorithm

  ZHANG, J.

  Project: Research project

• Super-resolution Imaging through Inverse Scattering

  WANG, Y.

  Project: Research project

• Optimized Scwharz based nonlinear preconditioning for nonlinear elliptic PDEs

  KWOK, W. H. F.

  Project: Research project

• 高维异方差回归模型的估计与推断

  ZHOU, L.

  Project: Research project

• Appointed Mainland Postdoctoral Fellows (孙正杰)

  LING, L.

  Project: Research project

• Difference-based methods in statistics and their wide applications

  TONG, T.

  Project: Research project

• Creating an Edublog for Mathematics Education: A Recreational Approach

  WONG, S. & LAU, M. S. K.

  Project: Teaching project

• Statistical and computational methods for integrative analysis of Big Data in Biomedicine

  YANG, C.

  Project: Research project

• A unified framework for exploring genetic architecture of human complex phenotypes using summary statistics

  YANG, C.

  Project: Research project

  • Variable Selection 100%
  • Bayesian Methods 67%
  • Multi-task Learning 23%
  • Approximation 22%
  • Variational Approximation 19%

• Neurodynamical Approach for Linearly Constrained Convex Programming

  LIAO, L.

  Project: Research project

  • Convex Programming 100%
  • Convex optimization 93%
  • Affine Scaling 78%
  • Trajectory 76%
  • Interior Point 71%

• 带正交约束的迹商优化问题的理论，算法和应用

  HOU, L.

  Project: Research project

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

  NG, K. P.

  Project: Research project

• Nonlinear Toeplitz-like Matrix Systems in Image Restoration

  NG, K. P.

  Project: Research project

  • Noise Removal 100%
  • Tensors 94%
  • Convex optimization 80%
  • Tensor 77%
  • Fast Algorithm 71%

• Orthogonal Non-negative Matrix and Tensor Factorizations: Analysis, Algorithms and Applications

  ZUSER, T.

  Project: Research project

  • Tensors 100%
  • Image Restoration 63%
  • Color Image 57%
  • Image reconstruction 50%
  • Denoising 50%

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

  NG, K. P.

  Project: Research project

• 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%