DEPARTMENT OF APPLIED MATHEMATICS 90 Email xiaoxia.liu@polyu.edu.hk Qualification BSc (Sun Yat-sen University) PhD (Syracuse University) ORCID ID 0000-0002-2289-7520 Dr LIU Xiaoxia Research Assistant Professor Research Overview My research interests lie in inverse problems and continuous optimisation, with applications to image processing. My past research included developing low-rank regularisation techniques for removing different complicated noises and proposing algorithms for solving nonconvex nonsmooth models with generalised low-rank regularisation terms. My current research focuses on constructing tensor decomposition based low-rank regularisation techniques and designing efficient algorithms for Stiefel manifold constrained nonconvex nonsmooth optimisation problems. Representative Publications • J. Lu, C. Xu, Z. Hu, X. Liu*, Q. Jiang, D. Meng, Z. Lin; A new nonlocal low-rank regularization method with applications to magnetic resonance image denoising, Inverse Probl., 2022, 38(6), 065012 • C. Xu, X. Liu, J. Zheng, L. Shen, Q. Jiang, J. Lu*; Nonlocal low-rank regularized two-phase approach for mixed noise removal, Inverse Probl., 2021, 37(8), 085001 • J. Lu, J. Tian, Q. Jiang, X. Liu, Z. Hu, Y. Zou*; Rician noise removal via weighted nuclear norm penalization, Appl. Comput. Harmon. Anal., 2021, 53, 180-198 • X. Liu, J. Lu*, L.Shen, C. Xu, Y. Xu; Multiplicative noise removal: Nonlocal low-rank model and its proximal alternating reweighted minimization algorithm, SIAM J. Imaging Sci., 2020, 13(3): 1595-1629
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