"Ryan" Zheyuan Lai

avatar.jpg

Hi! I am a third-year undergraduate at the National University of Singapore (NUS), pursuing a Bachelor’s degree in Statistics with second major in Mathematics and minor in Computer Science. My academic interests lie broadly in the theory and applications of stochastic processes, machine learning, and optimization.

I have explored these areas through several research experiences. Under the supervision of Prof. Michael Choi, I conducted information-theoretic analysis of multivariate Markov chains, leveraging submodular and convex optimization for subset selection and minimax factorization. In Summer 2025, I worked with Prof. Xiang Zhou’s group on generative modeling with diffusion and Lévy processes, where we integrated Lévy jumps into reverse-time dynamics while maintaining closed-form forward SDE marginals.

I am always open to new opportunities and collaborations. Please feel free to reach out if you’d like to connect or discuss ideas!

📚 Selected Publications

  1. Preprint
    Information-theoretic minimax and submodular optimization algorithms for multivariate Markov chains
    Zheyuan Lai, and Michael C.H. Choi
    arXiv preprint arXiv:2511.00769, 2025
    arXiv PDF Code
  2. Preprint
    Information-theoretic subset selection of multivariate Markov chains via submodular optimization
    Zheyuan Lai, and Michael C.H. Choi
    arXiv preprint arXiv:2503.23340, 2025
    arXiv PDF Code