Professor of Mathematical Statistics
Research Interests: Mathematical Statistics; specifically high-dimensional inference, Bayesian nonparametrics, statistics for PDEs and inverse problems, empirical process theory.
Publications
STATISTICAL GUARANTEES for BAYESIAN UNCERTAINTY QUANTIFICATION in NONLINEAR INVERSE PROBLEMS with GAUSSIAN PROCESS PRIORS
– 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)
Consistent Inversion of NoisyNon-Abelian X-RayTransforms
– Communications on Pure and Applied Mathematics
(2020)
74,
1045
(doi: 10.1002/cpa.21942)
Consistency of Bayesian inference with Gaussian process priors in an elliptic inverse problem
– Inverse Problems
(2020)
36,
085001
(doi: 10.1088/1361-6420/ab7d2a)
On statistical Calderón problems
– Mathematical Statistics and Learning
(2020)
2,
165
(doi: 10.4171/msl/14)
Nonparametric statistical inference for drift vector fields of multi-dimensional diffusions
– Annals of Statistics
(2020)
48,
1383
(doi: 10.1214/19-aos1851)
Bernstein-von Mises theorems for statistical inverse problems I: Schrodinger equation
– Journal of the European Mathematical Society
(2020)
22,
2697
(doi: 10.4171/jems/975)
Convergence rates for penalized least squares estimators in PDE constrained regression problems
– SIAM-ASA Journal on Uncertainty Quantification
(2020)
8,
374
(doi: 10.1137/18m1236137)
Efficient estimation of linear functionals of principal components
– The Annals of Statistics
(2020)
48,
464
(doi: 10.1214/19-AOS1816)
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