Research @ Faculty of Science 2023

DEPARTMENT OF APPLIED MATHEMATICS 72 Email xiaojun.chen@polyu.edu.hk Qualification PhD (Xi'an Jiaotong University) ORCID ID 0000-0002-6627-2637 Prof. CHEN Xiaojun Chair Professor of Applied Mathematics Research Areas (1) Mathematical optimisation (2) Stochastic equilibrium problems (3) Big data analytics Representative Publications • W. Bian and X. Chen, Anderson acceleration for nonsmooth fixed point problems, SIAM J. Numerical Analysis, 60 (2022), 2565-2591 • W. Liu, X. Liu and X. Chen, Linearly-constrained nonsmooth optimization for training autoencoders, SIAM J. Optimization, 32 (2022),1931-1957 • C. Li and X. Chen, Isotropic non-Lipschitz regularization for sparse representations of random fields on the sphere, Math. Comp., 91 (2022), 219-243 • F. He, X. Wang, and X. Chen, A penalty relaxation method for image processing using Euler's elastica model, SIAM J. Imaging Sciences, 14 (2021), 389-417 • W. Bian, X. Chen and C.T. Kelley, Anderson acceleration for a class of nonsmooth fixed-point problems, SIAM J. Scientific Computing. 43 (2021), S1-S20 • L. Pan and X. Chen, Group Sparse Optimization for Images Recovery Using Capped Folded Concave Functions, SIAM J. Imaging Sciences, 14 (2021), 1-25 • X. Chen and Ph.L. Toint, High-Order Evaluation Complexity for Convexly-Constrained Optimization with Non-Lipschitzian Group Sparsity Terms, Math. Programming, 187 (2021), 47-78 • L. Guo and X. Chen, Mathematical Programs with Complementarity Constraints and a Non-Lipschitz Objective: Optimality and Approximation, Math. Programming, 185 (2021), 455-485 • S. Wu, T. Zhou and X. Chen, A Gauss-Seidel type method for dynamic nonlinear complementarity problems, SIAM J. Control and Optimization, 58 (2020), 3389-3412 • W. Bian and X. Chen, A smoothing proximal gradient algorithm for nonsmooth convex regression with cardinality penalty, SIAM J. Numerical Analysis, 58 (2020), 858-883 • J. V. Burke, X. Chen and H. Sun, The Subdifferential of Measurable Composite Max Integrands and Smoothing Approximation, Math. Programming, 181 (2020), 229-264 • C. Zhang and X. Chen, A Smoothing Active Set Method for Linearly Constrained Non-Lipschitz Nonconvex Optimization, SIAM Optimization, 30 (2020), 1-30 Achievements • Fellow, American Mathematical Society, 2023 • The World’s Top 2% most-cited scientists by Stanford University, 2022 • PI, RGC/NSFC Joint Grant, 2022 • CP, CRF grant, 2022 • PI, CAS Croucher Funding Scheme for Joint Laboratories, 2022 • Fellow, Society for Industrial and Applied Mathematics, 2021 Professional Services • Director of University Research Facility in Big Data Analytics, 2020.7-present • Co-Director of CAS AMSS-PolyU Joint Laboratory of Applied Mathematics, 2019.1-present • Area Editor, Journal of Optimization Theory and Applications • Associate Editors, SIAM Journal on Optimization • Associate Editors, Optimization Methods and Software, Taylor & Francis, New York • Associate Editors, Journal of the Operations Research Society of Japan • Associate Editors, Computational Optimization and Applications, Springer-Verlag Wien • Associate Editors, SIAM Journal on Numerical Analysis, 2017, 2019 • Associate Editors, Numerical Functional Analysis and Optimization, Taylor & Francis, New York • Associate Editors, Numerical Algorithms, Kluwer Academic Publishers, The Netherlands

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