DEPARTMENT OF APPLIED MATHEMATICS 103 Email xiao.qi.yang@polyu.edu.hk Qualification MSc (Chinese Academy of Science) PhD (University of New South Wales) ORCID ID 0000-0002-5583-4032 Prof. YANG Xiaoqi Professor Research Overview My research interests include augmented Lagrangian duality and penalty function theory and methods, Newton methods, sparse optimisation, variational analysis and stability theory. Representative Publications • Burachik R. S.; Hu Y.H. and Yang X.Q. Interior quasi-subgradient method with non-Euclidean distances for constrained quasiconvex optimization problems in Hilbert spaces. J. Global Optim. 83 (2022), no. 2, 249–271 • Meng K.W. Li M.H. and Yao W.F. and Yang X.Q. Lipschitz-like property relative to a set and the generalized Mordukhovich criterion. Math. Program. 189 (2021), no. 1-2, Ser. B, 455–489 • Wang J.H., Hu Y.H., Yu.C.K.W., Li C. and Yang X.Q., Extended Newton methods for multiobjective optimization: majorizing function technique and convergence analysis. SIAM J. Optim. 29 (2019), no. 3, 2388–2421 • Li M.H., Meng K.W. and Yang X.Q. On error bound moduli for locally Lipschitz and regular functions, Math. Program. Vol. 171 (2018) no. 1-2, pp. 463-487 • Hu Y.H., Li C., Meng K.W., Qin J. and Yang X.Q. Group sparse optimization via regularization. Journal of Machine Learning and Research 18 (2017) Paper No. 30, 52pp • Hu Y.H., Li C. and Yang X.Q. On convergence rates of linearized proximal algorithms for convex composite optimization with applications. SIAM J. Optim. 26 (2016), no. 2, 1207–1235 • Hu Y.H., Yang X.Q. and Sim C.K. Inexact subgradient methods for quasi-convex optimization problems. European J. Oper. Res. Vol. 240 (2015), no. 2, pp. 315–327 • Wang C.Y., Yang X.Q. and Yang X.M. Nonlinear augmented Lagrangian and duality theory, Mathematics of Operations Research. Vol. 38 (2013), no. 4, pp.740-760 • Fang Y.P., Meng K.W. and Yang X.Q. Piecewise linear multicriteria programs: the continuous Case and its discontinuous generalization. Operations Research Vol. 60 (2012), no. 2, pp. 398–409 • Fang D.H., Li C. and Yang X.Q. Stable and total Fenchel duality for DC optimization problems in locally convex spaces. SIAM J. Optim. Vol. 21 (2011), no. 3, pp. 730-760
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