Dr. Liu's Personal Website

Welcome

Xiaoxia Liu （刘晓霞）

Associate Professor
School of Mathematics
South China University of Technology
Guangzhou, Guangdong, 510641 China

Email: xiaoxliu at scut.edu.cn
Office: Room 4225, BLDG 4, Wushan



What's New?

News

My research group has openings for self-motivated students at multiple levels:
  1. Research assistants: (starting from anytime) undergraduate students with proficient Python programming skills.
  2. Master students (Domestic applicants only): (starting from Fall 2026) students with a strong mathematical background.
  3. Postdoctoral fellows: (starting from anytime) students with a strong mathematical background.
Please feel free to contact me.
About Me

Biography

Xiaoxia Liu received the B.Sc. degree in information and computational science from Sun Yat-sen University, Guangzhou, China, in 2012, and received the M.Sc. and Ph.D. degrees in Mathematics from Syracuse University, Syracuse, NY, USA, in 2016 and 2018, respectively. She is currently an associate professor at South China University of Technology, Guangzhou, China. Before she join SCUT, she was a research assistant professor at the Hong Kong Polytechnic University from 2021 to 2025. Her current research interests include image and video processing, optimization, and inverse problems.

Interested research topics

Research Interests

Image Processing

Image denoising, medical image reconstruction, etc.

Optimization

Nonconvex nonsmooth optimization, proximal algorithms, etc.

Deep Learning

Proximal denoisers, plug-and-play algorithms, etc.

Inverse Problems

Nonlocal low-rank regularization, sparse representations, etc.

Curriculum Vitae

Education & Work Experience

Education

  • Ph.D. degree in Mathematics (Aug 2012 - Jun 2018)

    Syracuse University, United States
    Supervisors: Professor Yuesheng Xu and Professor Lixin Shen

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

    Sun Yat-Sen University, China

Work Experience

  • Associate Professor (Jul 2025 - Present)

    School of Mathematics, South China University of Technology, Guanghzhou, China

  • Research Assistant Professor (Jan 2022 - Jun 2025)

    Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong SAR, China

  • Associate Researcher (Apr 2021 - Jan 2022)

    College of Mathematics and Statistics, Shenzhen University, Shenzhen, China

  • Postdoctoral Fellow (Oct 2018 - Dec 2020)

    College of Mathematics and Statistics, Shenzhen University, Shenzhen, China
My Published Works

Research

  1. Xiaoxia Liu, Shijie Yu*; Provably convergent plug-and-play proximal block coordinate descent method for hyperspectral anomaly detection, International Journal of Numerical Analysis and Modeling, 23(1), 63-82, 2026.
  2. Xiaoxia Liu, Shijie Yu, Jian Lu, Xiaojun Chen*; Orthogonal constrained minimization with tensor l_{2,p} regularization for HSI denoising and destriping, SIAM Journal on Imaging Sciences, 18(4), 2313-2346, 2025.
  3. Hong Zhu#, Xiaoxia Liu#, Lin Huang, Zhaosong Lu, Jian Lu*, Michael K. Ng; Augmented Lagrangian method for tensor low-rank and sparsity models in multi-dimensional image recovery, Advances in Computational Mathematics, 50(75), 2024.
  4. Jian Lu#, Lin Huang#, Xiaoxia Liu*, Ning Xie*, Qingtang Jiang, Yuru Zou; 3D Poissonian image deblurring via patch-based tensor logarithmic Schatten-p minimization, Inverse Problems, 40(6), 065010, 2024.
  5. Jian Lu, Huaxuan Hu, Yuru Zou, Zhaosong Lu, Xiaoxia Liu*, Keke Zu*, Lin Li; A nonlocal Kronecker-basis-representation method for low-dose CT sinogram recovery, Journal of Computational Mathematics, 42(4), 1080-1108, 2024.
  6. Jian Lu, Yuting Ye, Yiqiu Dong*, Xiaoxia Liu*, Yuru Zou; Impulse noise removal by L1 weighted nuclear norm minimization, Journal of Computational Mathematics, 41(6), 1171-1191, 2023.
  7. 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, 38(6), 065012, 2022.
  8. 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, 37(8), 085001, 2021.
  9. 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, 29(5): 0-2150125, 2021.
  10. 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, 53, 180-198, 2021.
  11. 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, 13(3), 1595-1629, 2020.  Matlab codes
  12. Chen Xu, Yuting Ye, Zhenwei Hu, Yuru Zou, Lixin Shen, Xiaoxia Liu, Jian Lu*; A primal-dual algorithm for robust fractal image coding, Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 27(7), 0-1950119, 2019.
# Co-first author(s)
* Corresponding author(s)
  1. NSFC Schemes - Young Scientists Fund [Category C]: Plug-and-play based Models and Algorithms for Joint Hyperspectral Image Reconstruction and Restoration, 2026-2028.
  1. The second prize for outstanding young academic achievements by the Guangdong Province Computational Mathematical Society.
  1. 2D nonlocal low-rank model (Matlab).  Download or GitHub
  1. Hyperspectral image processing: orthogonal constrained minimization models and the proximal block coordinate descent algorithms, Guangdong-Hong Kong-Macao Data Science Mathematical Theory and Algorithms Youth Forum, Guangzhou, China (Jul 2025).
  2. Hyperspectral image processing: orthogonal constrained minimization models and the proximal block coordinate descent algorithms, Symposium on Computational and Applied Mathematics, Ningbo, China (May 2025).
  3. Low-rank regularization methods with applications to hyperspectral image processing, Hangzhou Institute for Advanced Study, UCAS, Hangzhou, China (May 2025).
  4. A projection algorithm for nonlocal low-rank tensor models with orthogonal constraints, The 25th International Symposium on Mathematical Programming (ISMP2024), Montreal, Canada (Jul 2024).
  5. Orthogonal constrained minimization with tensor l_{2,p} regularization for HSI denoising and destriping, ORSC Conference on Algorithms, Software and Applications (ASA2024), Xinxiang, China (Jun 2024).
  6. 3D Poissonian image deblurring via patch-based tensor logarithmic Schatten-p minimization, SIAM Conference on Imaging Science (IS24), Atlanta, Georgia, U.S. (May 2024).
  7. Nonlocal low-rank regularization and its applications to medical image processing, SIAT-PolyU Joint Seminar, SIAT, Shenzhen, China (Aug 2023).
  8. Nonlocal low-rank models for image restoration, Annual Conference of Guangdong Computational Mathematics Society, virtual, (Dec 2021).
  9. Nonlocal low-rank model for multiplicative noise removal and its PARM algorithm, Seminar on Frontier Advances in Optimization Theory and Applications, SUSTech, Shenzhen, China (Nov 2020).
Lectures Taught at SCUT

Teaching Experience

  • Fall 2025:   Mathematical Analysis III.




Last updated: Nov 17, 2025.