About

I am Kaiyu Li, a researcher in statistics and machine learning. I received my PhD in Statistical Science from University College London, where I was supervised by Prof. Serge Guillas and Prof. F-X Briol.

My research lies at the intersection of computational statistics and machine learning, with a focus on uncertainty quantification and reliable probabilistic inference, from efficient estimation for costly models to robust posterior sampling with diffusion models.

News

• 2026 🎉 Outlier-robust Diffusion Posterior Sampling for Bayesian Inverse Problems accepted at NeurIPS 2026.
• 2026 🎉 Multilevel Control Functional accepted at ICLR 2026 (scores 8/8/8, ranked 2nd of ~19,000 submissions).

Publications

Conference papers

• NeurIPS 2026
  Outlier-robust Diffusion Posterior Sampling for Bayesian Inverse Problems
  Yang, Y., Cheng, X., He, Y., Li, K., Yuan, W., & Sun, Z.
  Advances in Neural Information Processing Systems (NeurIPS 2026).
  arXiv
• ICLR 2026
  Multilevel Control Functional
  Li, K., Yang, Y., Cheng, X., He, Y., & Sun, Z.
  International Conference on Learning Representations (ICLR 2026).
  ⭐ Scores 8/8/8 · Ranked 2nd of ~19,000 submissions
  PDF
• AISTATS 2023
  Multilevel Bayesian Quadrature
  Li, K., Giles, D., Karvonen, T., Guillas, S., & Briol, F. X.
  International Conference on Artificial Intelligence and Statistics (AISTATS 2023). PMLR.
  ⭐ Oral presentation (top 6% of accepted papers)
  PMLR

Journal articles

• Proc. R. Soc. A
  Uncertainty in Manning’s roughness coefficient in multilevel simulations of future tsunamis in Sumatra
  Li, K., Salmanidou, D., Gopinathan, D., Heidarzadeh, M., & Guillas, S. (2025)
  Proceedings of the Royal Society A, 481(2316), 20240637.
  Paper
• Auton. Intell. Syst.
  Chance-constrained optimal power flow for improving line flow and voltage security of power transmission networks
  Cui, Y., Song, Y., Feng, K., Xu, H., Wei, Q., & Li, K. (2025)
  Autonomous Intelligent Systems, 5(1), 31.
  Paper

Talks

• May 2023
  Poster LSIT 2023 – Seventh London Symposium on Information Theory

  📍 London, UK
• Apr 2023
  Oral & Poster The 26th International Conference on Artificial Intelligence and Statistics (AISTATS 2023)

  📍 Valencia, Spain
• Aug 2022
  Poster IMSI Workshop – Expressing and Exploiting Structure in Modeling, Theory, and Computation with Gaussian Processes

  📍 Chicago, USA
• Apr 2022
  Talk SIAM Conference on Uncertainty Quantification (UQ22)

  📍 Atlanta, USA
• Apr 2022
  Talk High Dimensional and Functional Data Group, UCL

  📍 London, UK
• Jun 2020
  Poster Machine Learning Summer School, Max Planck Institute for Intelligent Systems

  📍 Tübingen, Germany