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Teaching Staff

Professor LAI, Lexiao

Professor LAI, Lexiao

Assistant Professor, Department of Mathematics, Faculty of Science, HKU

    • 2241 5792
    • RR318, Run Run Shaw Building, The University of Hong Kong

    Research Interest

    • Continuous optimization. In particular, he is interested in nonconvex optimization, first-order methods, and applied semialgebraic geometry, with applications in data science.

     

    Publications

    • Sufficient conditions for instability of the subgradient method with constant step size, SIAM Journal on Optimization, 2024
    • Convergence of the momentum method for semialgebraic functions with locally Lipschitz gradients, SIAM Journal on Optimization, 2023 
    • Global stability of first-order methods for coercive tame functions, Mathematical Programming, 2023 
    • Lyapunov stability of the subgradient method with constant step size, Mathematical Programming, 2023 
    • Nonsmooth rank-one matrix factorization landscape, Optimization Letters, 2021 
    • Time-dependent surveillance-evasion games, 58th IEEE Conference on Decision and Control, 2019
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