Published Papers

• The Local Landscape of Phase Retrieval Under Limited Samples
  Kaizhao Liu*, Zihao Wang*, Lei Wu
  IEEE Transactions on Information Theory, 2024
  

• Orthogonal Bootstrap: Efficient Simulation of Input Uncertainty
  Kaizhao Liu, Jose Blanchet, Lexing Ying, Yiping Lu
  The Forty-first International Conference on Machine Learning (ICML), 2024
  

• 帕斯卡定理的推广
  陈凌峰，刘锴昭，任勇钢
  中等数学, 2018
  

Unpublished Manuscripts

• Fundamental Limits of Game-Theoretic LLM Alignment: Smith Consistency and Preference Matching
  Zhekun Shi*, Kaizhao Liu*, Qi Long, Weijie J. Su, Jiancong Xiao
  arXiv preprint, 2025
  

• Statistical Impossibility and Possibility of Aligning LLMs with Human Preferences: From Condorcet Paradox to Nash Equilibrium
  (α-β) Kaizhao Liu, Qi Long, Zhekun Shi, Weijie J. Su, Jiancong Xiao
  arXiv preprint, 2025
  

• Error Bounds for Open Quantum Systems with Harmonic Bosonic Bath
  Kaizhao Liu, Jianfeng Lu
  arXiv preprint, 2024
  

• Theoretical Tensions in RLHF: Reconciling Empirical Success with Inconsistencies in Social Choice Theory
  Jiancong Xiao, Zhekun Shi, Kaizhao Liu, Qi Long, Weijie J. Su
  arXiv preprint, 2025