Research

List of publications and preprints available from Google Scholar (sort by date or by citations).

I am mostly interested in the theory of Probability and its connections with other areas. In recent years, much of my work has focused on Mathematical Statistics and "Data Science", but I have also worked in Stochastic Optimization, Discrete Math and Quantum Information. I am especially interested in problems that are "high dimensional" and/or have an interesting combinatorial structure.

Below you will find a list of selected papers that illustrate my interests. Google Scholar has a full list.

1. Trimmed sample means for uniform mean estimation and regression (w/ Lucas Resende). Annals of Statistics, to appear. 

2. The contact process over a dynamical d-regular graph (w/ G. Leite Baptista da Silva & D. Valesin). Annales de l'IHP Prob & Stat (2024).

3. Sample average approximation with heavier tails I: non-asymptotic bounds with weak assumptions and stochastic constraints & II: localization in stochastic convex optimization and persistence results for the LASSO (w/ P. Thompson). Mathematical Programming (2023).

4. Estimating graph parameters with random walks (w/ A. Ben-Hamou & Y. Peres). Mathematical Statistics and Learning (2019). 

5. Sub-Gaussian mean estimators (w/ L. Devroye, G. Lugosi & M. Lerasle). Annals of Statistics (2016).

6. The lower tail of random quadratic forms with applications to least squares. Probability Theory and Related Fields (2016).

7. Approximate group context tree (w/ A. Belloni). Annals of Statistics (2016).

8. Mean field conditions for coalescing random walks. Annals of Probability (2013).

9. Mixing of the symmetric exclusion processes in terms of the corresponding single-particle random walk. Annals of Probability (2013).

10. Generic entanglement can be generated efficiently (w/ Oscar Dahlsten & Martin Plenio). Physical Review Letters (2007)