About me

Hello, I am a William H. Kruskal Instructor at the Department of Statistics, University of Chicago, where I am fortunate to work with Professor Matthew Stephens. I obtained my doctoral degree in Statistics at the University of Michigan, where I was fortunate to be advised by Professor Jonathan Terhorst and Professor Long Nguyen.

Here is a current version of my CV.

Research Interest

A central theme of my research focuses on:

• Hierarchical Models: Identifiability, Statistical Efficiency, and Model Selection Methods
• Statistical Genetics, Population genetics, and Phylogenetics
• Statistical Optimal Transport

I study identifiability and parameter estimation for latent variable models such as mixture and admixture models with an unknown number of components using optimal transport, empirical process theory, and Bayesian asymptotic theory. From that, my collaborators and I provide rigorous model selection methods for those models. I am also passionate about developing interpretable and computationally efficient hierarchical Bayesian methods with applications in genetics.

Our another major research theme is building hierarchical Bayesian models and applying them to population genetics and statistical genetics.

Preprints and Publications

* denotes equal contributions.

• Model selection in ADMIXTURE can be inconsistent: proof of the 𝐾=2 phenomenon. Under review.
  Dat Do, Jonathan Terhorst.

• Change-in-velocity detection for multidimensional data. Under review.
  Linh Do, Dat Do, Keisha J. Cook, Scott A. McKinley.

• Dirichet moment tensors and the correspondence between admixture and mixture of product models. Under review.
  Dat Do, Sunrit Chakraborty, Jonathan Terhorst, XuanLong Nguyen.

• Dendrogram of mixing measures: Hierarchical clustering and model selection for finite mixture models. Under review.
  Dat Do, Linh Do, Scott McKinley, Jonathan Terhorst, XuanLong Nguyen.

• Strong identifiably and parameter learning in regression with heterogeneous response. Electron. J. Statist. 19 (1) 131 - 203, 2025.
  Dat Do, Linh Do, XuanLong Nguyen.

• Functional optimal transport: map estimation and domain adaptation for functional data. Journal of Machine Learning Research (JMLR) 2024.
  Jiacheng Zhu*, Aritra Guha*, Dat Do*, Mengdi Xu, XuanLong Nguyen, Ding Zhao.

• Minimax Optimal Rate for Parameter Estimation in Multivariate Deviated Models. NeurIPS 2023.
  Dat Do*, Huy Nguyen*, Khai Nguyen, Nhat Ho.

• Beyond Black Box Densities: Parameter Learning for the Deviated Components. NeurIPS 2022.
  Dat Do*, Nhat Ho*, XuanLong Nguyen.

• Entropic Gromov-Wasserstein between Gaussian distributions. International Conference on Machine Learning (ICML) 2022.
  Khang Le, Dung Le, Huy Nguyen, Dat Do, Tung Pham, Nhat Ho.

• Generalized Marcinkiewicz Laws for Weighted Dependent Random Vectors in Hilbert Spaces. Theory of probability and its applications, 2021.
  Ta Cong Son, Le Van Dung, Dat Do, Ta Thi Trang.

• On Label Shift in Domain Adaptation via Wasserstein Distance. Under Review.
  Trung Le, Dat Do, Tuan Nguyen, Huy Nguyen, Hung Bui, Nhat Ho, Dinh Phung.