Research @ Faculty of Science 2023

DEPARTMENT OF APPLIED MATHEMATICS 70 Email kuang.bai@polyu.edu.hk Qualification BSc (Lanzhou University) MSc (Dalian University of Technology) PhD (University of Victoria) ORCID ID 0000-0002-9135-9080 Dr BAI Kuang Research Assistant Professor Research Overview Dr Bai’s research area is comprised of optimisation and variational analysis, as well as their applications in economics, engineering and statistics. In particular, he has derived many constraint qualifications for general mathematical programmes. These constraint qualifications can recover their classical counterparts and can serve as sufficient conditions for necessary optimality conditions, existence of error bounds and can guarantee useful calculus rules for generalised subgradients. Meanwhile, he has also studied the optimality conditions of bilevel programmes. His recent interests include studying constraint qualifications and optimality conditions for two-level stochastic programmes and bilevel programmes, as well as sufficient conditions for the existence of error bounds for structured mathematical programmes. Representative Publications • Math. Oper. Res. 2022, 47, 1169-1191 • SIAM J. Opt. 2019, 29, 2625-2649

RkJQdWJsaXNoZXIy Mjc5OTU=