About me

I am Lexiao Lai 赖乐潇, a fifth-year Ph.D. student at Columbia IEOR. My research is in nonconvex optimization, applied semi-algebraic geometry, and data science. I am very fortunate to be advised by Prof. Cédric Josz. Prior to Columbia, I received my Bachelor of Science in Mathematics from the University of Hong Kong.

[Curriculum Vitae] [Google Scholar]

Email: lexiao.lai@columbia.edu


  1. Cédric Josz, Lexiao Lai, Xiaopeng Li, Convergence of the momentum method for semi-algebraic functions with locally Lipschitz gradients, SIAM Journal on Optimization, 2023 [preprint]
  2. Cédric Josz, Lexiao Lai, Global stability of first-order methods for coercive tame functions, Mathematical Programming, 2023 [preprint]
  3. Cédric Josz, Lexiao Lai, Sufficient conditions for instability of the subgradient method with constant step size, SIAM Journal on Optimization (to appear), 2023 [preprint]
  4. Cédric Josz, Lexiao Lai, Lyapunov stability of the subgradient method with constant step size, Mathematical Programming, 2023 [preprint]
  5. Cédric Josz, Lexiao Lai, Nonsmooth rank-one matrix factorization landscape, Optimization Letters, 2021 [preprint]
  6. Elliot Cartee, Lexiao Lai, Qianli Song, Alexander Vladimirsky, Time-dependent surveillance-evasion games, 58th IEEE Conference on Decision and Control, 2019 [preprint]