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, Stochastic Optimization and other "Data Science", but I have also worked in 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)