Professor of Mathematical Statistics
Research Interests: Mathematical Statistics; specifically high-dimensional inference, Bayesian nonparametrics, statistics for PDEs and inverse problems, empirical process theory.
Publications
Consistent inference for diffusions from low frequency measurements
– Annals of Statistics
(2024)
52,
519
(doi: 10.1214/24-aos2357)
On posterior consistency of data assimilation with Gaussian process
priors: the 2D Navier-Stokes equations
(2023)
On free energy barriers in Gaussian priors and failure of cold start MCMC for high-dimensional unimodal distributions.
– Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
(2023)
381,
20220150
(doi: 10.1098/rsta.2022.0150)
On polynomial-time computation of high-dimensional posterior measures by Langevin-type algorithms
– Journal of the European Mathematical Society
(2022)
26,
1031
(doi: 10.4171/JEMS/1304)
Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors
– The Annals of Statistics
(2021)
49,
3255
(doi: 10.1214/21-AOS2082)
On some information-theoretic aspects of non-linear statistical inverse
problems
(2021)
On log-concave approximations of high-dimensional posterior measures and
stability properties in non-linear inverse problems
(2021)
- 1 of 6