Dr. Liu's Personal Website

Welcome

Xiaoxia Liu （刘晓霞）

Research Assistant Professor
Department of Applied Mathematics
The Hong Kong Polytechnic University
Hung Hom, Kowloon, Hong Kong

Tel: +852 2766 6348
Office: TU813, Yip Kit Chuen Bldg
Email: xiaoxia.liu at polyu.edu.hk

Interested research topics

Research Interests

Inverse Problems

Low-rank regularization, sparse representations, etc.

Image Processing

Image denoising, medical image reconstruction, data recovery, etc.

Optimization

Nonconvex nonsmooth optimization, proximal algorithms, etc.

Curriculum Vitae

Biography

Education

  • Ph.D. degree in Mathematics (Aug 2012 - Jun 2018)
    M.Sc. degree in Mathematics (Aug 2012 - May 2016)

    Syracuse University
    Supervisors: Professor Yuesheng Xu and Professor Lixin Shen

  • B.Sc. degree in Information and Computational Science (Sep 2008 - Jun 2012)

    Sun Yat-Sen University

Work Experience

  • Research Assistant Professor (Jan 2022 - Present)

    Department of Applied Mathematics, The Hong Kong Polytechnic University

  • Associate Researcher (Apr 2021 - Jan 2022)

    College of Mathematics and Statistics, Shenzhen University

  • Postdoctoral Research Fellow (Oct 2018 - Dec 2020)

    College of Mathematics and Statistics, Shenzhen University
My Published Works

Research

  1. Jian Lu#, Chen Xu#, Zhenwei Hu, Xiaoxia Liu*, Qingtang Jiang, Deyu Meng and Zhouchen Lin; A new nonlocal low-rank regularization method with applications to magnetic resonance image denoising, Inverse Problems, 2022, 38(6), 065012.
  2. Chen Xu#, Xiaoxia Liu#, Jian Zheng, Lixin Shen, Qingtang Jiang, Jian Lu*; Nonlocal low-rank regularized two-phase approach for mixed noise removal, Inverse Problems, 2021, 37(8), 085001.
  3. Yuru Zou, Huaxuan Hu, Jian Lu, Qingtang Jiang, Guohui Song, Xiaoxia Liu*; A nonlocal low-rank regularization method for fractal image coding, Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 2021, 29(5): 0-2150125.
  4. Jian Lu, Jiapeng Tian, Qingtang Jiang, Xiaoxia Liu, Zhenwei Hu, Yuru Zou*; Rician noise removal via weighted nuclear norm penalization, Applied and Computational Harmonic Analysis, 2021, 53, 180-198.
  5. Xiaoxia Liu, Jian Lu*, Lixin Shen, Chen Xu, Yuesheng Xu; Multiplicative noise removal: Nonlocal low-rank model and its proximal alternating reweighted minimization algorithm, SIAM Journal on Imaging Sciences, 2020, 13(3): 1595-1629.  Codes
  1. 2D nonlocal low-rank model.  Download
  1. Annual Conference of Guangdong Computational Mathematics Society, Dec 2021, Nonlocal low-rank models for image restoration.
  2. Seminar on Frontier Advances in Optimization Theory and Applications, SUSTech, Nov 2020, Nonlocal low-rank model for multiplicative noise removal and its PARM algorithm.
Taught Lectures at POLYU

Teaching

  • Semester 2 2022/2023:   AMA3820 Operations Research Methods.
  • Semester 3 2021/2022:   AMA1120 Basic Mathematics II - Calculus and Linear Algebra.