This paper studies the analysis of rank and preference data. We consider both complete rankings, partial rankings, and pairwise preferences. We develop a complete Bayesian framework for estimating Mallows’ rank model in all this cases, including clustering of users with similar preferences and preference prediction. Published in Journal of Machine Learning Research. Joint first authorship with Valeria Vitelli.

This paper analyzes the impact of covariate measurement error in the lasso method for penalized regression. First, we present a result showing how the classical result for variable selection consistency breaks down in the presence of measurement error, and then we study a correction method and show how it recovers the consistent variable selection property. Finally, we consider an extension to logistic and Poisson regression. Published in Statistica Sinica.