I am a third-year PhD candidate in the Department of Statistics and Data Sciences at the University of Texas at Austin. My research interests lie at the intersection of mathematical (Bayesian) statistics, applied probability, and machine learning. I am currently completing doctoral-level coursework and pursuing research with professors Stephen G. Walker (my advisor), Nhat Ho, and Alessandro Rinaldo. For the first and second year of my graduate studies, I was fortunate to be sponsored by the Bank of Italy’s “Giorgio Mortara” scholarship.

Before moving to Austin, I completed my Bachelor’s and Master’s studies at Bocconi University in Milan, Italy. While a visiting student at the Bocconi Institute for Data Science and Analytics under the supervision of professor Igor Prünster, I wrote my MSc thesis on probabilistic and methodological aspects of Bayesian nonparametric statistics. In 2022-23, I was also part of the European Research Grant LOSS Project team, led by professor Catherine De Vries.

Recent News

Check out this tutorial on my Python software cbi_partitions, implementing Conformalized Bayesian Inference for random partition models! See the research paper here.

Ongoing research

1. Bariletto, Nicola*, Dung Le*, Alessandro Rinaldo, and Nhat Ho (2026). Convergence Rates for Latent Mixing Measures in Infinite Homoscedastic Location-Scale Mixture Models. ArXiv preprint arXiv:2605.06845. [pdf]
2. Bariletto, Nicola, and Stephen G. Walker (2026). Scalable Posterior Uncertainty for Flexible Density-Based Clustering. ArXiv preprint arXiv:2603.03188. [pdf]
3. Bariletto, Nicola*, Huy Nguyen*, Nhat Ho, and Alessandro Rinaldo (2026). On Bayesian Softmax-Gated Mixture-of-Experts Models. ArXiv preprint arXiv:2604.20551. [pdf]
4. Bariletto, Nicola, Nhat Ho, and Alessandro Rinaldo (2025). Conformalized Bayesian Inference, with Applications to Random Partition Models. ArXiv preprint arXiv:2511.05746. [pdf]
5. Bariletto, Nicola, and Stephen G. Walker (2025). On A Necessary Condition For Posterior Inconsistency: New Insights From A Classic Counterexample. ArXiv preprint arXiv:2510.18126. [pdf]
6. Bariletto, Nicola, Bernardo Flores, and Stephen G. Walker (2025). Posterior Consistency in Parametric Models via a Tighter Notion of Identifiability. ArXiv preprint arXiv:2504.11360. [pdf]

* denotes equal contribution.