Research


My main research interests are in nonparametric and high-dimensional statistics, as well as the statistical foundations of AI. Particular topics include shape-constrained estimation problems; data perturbation methods (e.g. subsampling, bootstrap sampling, random projections, knockoffs); deep learning; in-context learning; nonparametric classification; unconditional and conditional independence testing; estimation of entropy and other functionals; changepoint detection and estimation; missing data; subgroup analysis; variable selection; and applications, including public health, genetics, archaeology and oceanography. Some general articles and a video about my research can be found here, here and here.

Books

Modern Statistical Methods and Theory book cover
Samworth, R. J. and Shah, R. D. (2026) Modern Statistical Methods and Theory. Cambridge University Press. The book, as well as complete solutions to the exercises, is freely available here.








Publications and preprints

Selected recent talks