I am a Ph.D. candidate in Data Science at Academy for Advanced Interdisciplinary Studies, Peking University, advised by Prof. Tiejun Li. Prior to this, I received my B.S. degree from the School of Mathematical Sciences, at Fudan University in 2021, majoring in Mathematics and Applied Mathematics. My research interests lie in generative models and sampling algorithms from a machine learning perspective.

Education

• Fudan University, Shanghai, China, 2017.9 – 2021.6
  B.S. in School of Mathematical Sciences

• Peking University, Beijing, China, 2021.9 – 2026.6 (Expected)
  Ph.D. student in Academy for Advanced Interdisciplinary Studies

• Freie Universität Berlin, Berlin, Germany, 2024.1 – 2024.12
  visiting student in Institute of Mathematics

Publications

Improving the Euclidean diffusion generation of manifold data by mitigating score function singularity
Zichen Liu, Wei Zhang, Tiejun Li. Advances in Neural Information Processing Systems (NeurIPS), 38: 110885–110917, 2025.
Paper | Code

Riemannian denoising diffusion probabilistic models
Zichen Liu, Wei Zhang, Christof Schütte, Tiejun Li. Communications in Mathematical Sciences, 24(5): 1267–1295, 2026.
Paper | Code | BibTeX

Free energy surface sampling via reduced flow matching
Zichen Liu, Tiejun Li. arXiv: 2605.00337, 2026.
Paper | Code