Homepage of Hoang-Son TRAN

Welcome to my homepage. My name is Hoang-Son TRAN (Trần Hoàng Sơn in Vietnamese). I am a PhD student in Mathematics at National University of Singapore (NUS).

Useful links: Google Scholar , CV

Education

• August 2020 to 2026: PhD candidate, Department of Mathematics, National University of Singapore, Singapore
  Advisors: Professor Subhro GHOSH and Professor Tien-Cuong DINH
  Thesis: Strongly correlated interacting particle systems and their applications.

• 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

My research develops probabilistic and statistical-mechanical methods for machine learning, with a focus on negatively dependent particle systems, determinantal point processes (DPPs), concentration inequalities, central limit theorems, and variance reduction. A central goal is to build mathematically principled sampling and subsampling methods with provable guarantees for learning and approximation.

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

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

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

• Small coresets via negative dependence: DPPs, linear statistics, and concentration, NeurIPS spotlight (< 2.08% total submissions), NeurIPS Proceedings , (with R. Bardenet, S. Ghosh, and H. Simon), 2024

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

• Gaussian fluctuations for spin systems and point processes: near-optimal rates via quantitative Marcinkiewicz's theorem, minor revision at Annals of Applied Probability, arxiv.org/abs/2107.08469, (with T.-C. Dinh, S. Ghosh, and M.-H. Tran), 2021

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