Publications

1. Sampling allocation of LinUCB: Optimal design limits in the small-gap regime

   Yujie Liu, Vincent Y. F. Tan, and Yunbei Xu

   ACM SIGMETRICS 2027 Accepted

2. Finite-time minimax bounds and an optimal Lyapunov policy in queueing control

   Yujie Liu, Vincent Y. F. Tan, and Yunbei Xu

   Operations Research Forthcoming

   Short version presented at the NeurIPS 2025 Workshop on ML×OR.

3. A non-convex optimization approach of searching algebraic degree phase-type representations for general phase-type distributions

   Yujie Liu, Dacheng Yao, and Hanqin Zhang

   Advances in Applied Probability, 57(3): 1101–1137, 2025

4. On substochastic inverse eigenvalue problems with the corresponding eigenvector constraints

   Yujie Liu, Dacheng Yao, and Hanqin Zhang

   SIAM Journal on Matrix Analysis and Applications, 45(3): 1689–1719, 2024

5. Minimal positive realizations for linear systems with two-different-pole transfer functions

   Yujie Liu, Dacheng Yao, and Hanqin Zhang

   European Journal of Control, 69: 100720, 2023

6. Stationary distributions and ergodicity of reflection-type Markov chains

   Yujie Liu, Minwen Niu, Dacheng Yao, and Hanqin Zhang

   Statistics & Probability Letters, 189: 109597, 2022

Works in Progress

• How LinUCB allocates samples: A fluid-limit analysis under local gaps.

  With Vincent Y. F. Tan and Yunbei Xu.

• Queue regulation based on waiting-time information disclosure.

  With Dacheng Yao and Hanqin Zhang.