About me
I am currently a postdoctoral researcher supervised by Prof Richard J. Samworth, in the Statistical Laboratory, a subdepartment of the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge, and am affiliated with the StatScale programme. In September 2017 I defended my PhD thesis which I worked on under the supervision of Prof Richard J. Samworth. I work mainly in statistical theory and methodology for nonparametric problems. My current areas of interest are the estimation of entropy and other functionals, (conditional) independence testing and classification with an emphasis on k-nearest neighbour methods.
Workshop organisation
Together with Nikolai Leonenko, Richard Lockhart, Richard Samworth and Yihong Wu I am organising a workshop in Cambridge from 9-11 September 2019 on "Estimation of entropies and other functionals: Statistics meets information theory".
Core Statistical Publications and Preprints
- Berrett, T. B. and Samworth, R. J. (2019) Efficient two-sample functional estimation and the super-oracle phenomenon. Preprint (.pdf).
- Berrett, T. B., Wang, Y., Barber, R. F. and Samworth, R. J. (2018) The conditional permutation test. Preprint (.pdf).
- Cannings, T. I., Berrett, T. B. and Samworth, R. J. (2019) Local nearest neighbour classification with applications to semi-supervised learning. Ann. Statist., to appear (.pdf)
- Berrett, T. B. and Samworth, R. J. (2019) Nonparametric independence testing via mutual information. Biometrika, 106(3), 547-566. (.pdf). See also the associated R package, IndepTest.
- Berrett, T. B., Samworth, R. J. and Yuan, M. (2019) Efficient multivariate entropy estimation via k-nearest neighbour distances. Ann. Statist., 47 , 288-318.(.pdf). The online supplementary material is available here: (.pdf)
- Berrett, T. B. (2017) Modern k-nearest neighbour methods in entropy estimation, independence testing and classification. PhD Thesis (.pdf)
Other Publications
- Chowdhury, M., Tarkinm J., Albaghdadi, M., Evans, N., Le, E., Berrett, T. B., Sadat, U., Joshi, F., Warburton, E., Buscombe, J., Hayes, P., Dweck, M., Newby, D., Rudd J. H. F. and Coughlin P. MB ChB, MD, FRCS. (2019) Vascular Positron Emission Tomography and Restenosis in Symptomatic Peripheral Arterial Disease: A Prospective Clinical Study. JACC: Cardiovascular Imaging, to appear.
- Tern, P., Kujawiak, I., Saha, P., Berrett, T. B., Chowdhury, M. and Coughlin, P. MB ChB, MD, FRCS. (2018) Site and Burden of Lower Limb Atherosclerosis Predicts Long-Term Mortality in a Cohort of Patients with Peripheral Arterial Disease. Eur. J. Vasc. Endovasc. Surg., 56 , 849-856.
Teaching
In Michaelmas 2017 I lectured the Part III course Topics in Statistical Theory . Example sheet one is here, example sheet two is here and example sheet three is here . I have previously supervised Part IB Statistics, Part II Principles of Statistics, Part II Statistical Modelling and Part II Applied Probability.