Homepage of Hoang-Son Tran

Welcome to my homepage. My name is Hoang-Son Tran — Trần Hoàng Sơn in Vietnamese. I am currently a Research Associate in the Department of Mathematics at the National University of Singapore.

Useful links: Google Scholar , CV

Education

• 2020-2026: PhD in Mathematics, National University of Singapore
  Thesis: Strongly correlated interacting particle systems and their applications.
  Advisors: Prof. Subhro Ghosh and Prof. Tien-Cuong Dinh

• 2015-2019: Bachelor of Mathematics, Hanoi National University of Education, Hanoi, Vietnam

• 2012-2015: High School for Gifted Students, Hanoi National University of Education, Hanoi, Vietnam

Research interests

My research lies at the interface of probability theory, statistical physics, and machine learning theory. In particular, I study strongly correlated random systems, especially determinantal point processes (DPPs) and negatively dependent particle systems. A central theme of my work is to understand how repulsion and negative dependence lead to quantitative improvements in sampling, approximation, concentration, and learning.

Publications

• "Gaussian fluctuations for spin systems and point processes: near-optimal rates via quantitative Marcinkiewicz's theorem", with T.-C. Dinh, S. Ghosh, and M.-H. Tran
  Annals of Applied Probability, accepted, 2026, arxiv.org/abs/2107.08469

• "Small coresets via negative dependence: DPPs, linear statistics, and concentration", with R. Bardenet, S. Ghosh, and H. Simon
  NeurIPS (spotlight, selected among approximately the top 2.08% of submissions), 2024, NeurIPS Proceedings

• "Learning Networks from Gaussian Graphical Models and Gaussian Free Fields", with S. Ghosh, S. S. Mukherjee, and U. Gangopadhyay
  Journal of Statistical Physics, 2024, rdcu.be/dDio3

Preprints

• "State-of-the-art minibatches via novel DPP kernels: discretization, wavelets, and rough objectives", with P. Gupta, R. Bardenet, and S. Ghosh
  preprint, 2026, arXiv:2605.13127

• "Gaussian mixtures and non-parametric likelihoods through the lens of statistical mechanics", with S. Ghosh, A. Guntuboyina, and S. Mukherjee
  preprint, 2026, arXiv:2603.23196

• "Negative dependence as a toolbox for machine learning: review and new developments", with R. Bardenet, S. Ghosh, and V. Petrovic
  preprint, 2025, arXiv:2502.07285

Awards

• Best Graduate Researcher Award, Department of Mathematics, NUS, 2025

• Faculty of Science PhD Conference Award, NUS, 2024

• Graduate Tutor Merit Award, Department of Mathematics, NUS, 2024

• Graduate Tutor Commendation Letters, Department of Mathematics, NUS, 2023

• First Prize in Vietnam Mathematical Olympiad for University Students, 2017

• First Prize in Vietnam Mathematical Olympiad for University Students, 2016

• Second Prize in Vietnam Mathematical Olympiad, 2015