© Universität Bielefeld
Publications
Publications
- Optimal parameter estimation for linear SPDEs
from multiple measurements
Annals of Statistics, to appear
(with A. Tiepner, R. Altmeyer) - A note on the prediction error of
principal component regression in high dimensions
Theory Probab. Math. Statist. 109, 37-53, 2023
(with L. Hucker) - Functional estimation in log-concave location families
High dimensional probability IX—the ethereal volume, 393-440
Birkhäuser/Springer, Cham, 2023
(with V. Koltchinskii) - Relative perturbation bounds with applications to
empirical covariance operators
Advances in Mathematics 412, 2023
(with M. Jirak). - Van Trees inequality, group equivariance, and
estimation of principal subspaces
Foundations of Modern Statistics.
On the occasion of Volodia Spokoiny's 60th birthday, 301-321
Springer Proc. Math. Stat., 425, Springer, Cham, 2023. - Lower bounds for invariant statistical models
with applications to principal component analysis
Ann. Inst. Henri Poincaré Probab. Stat. 58 1565−1589, 2022. - Nonparametric goodness-of-fit testing for
parametric covariate models in pharmacometric analyses
CPT: CPT Pharmacometrics Syst Pharmacol 10, 564−576, 2021
(with N. Hartung, A. Rastogi, W. Huisinga) - Analyzing the discrepancy principle for
kernelized spectral filter learning algorithms
Journal of Machine Learning Research 22, 1−59, 2021
(with A. Celisse) - Statistical inference in sparse high-dimensional additive models
Annals of Statistics 49, 1514-1536, 2021
(with K. Gregory, E. Mammen). - High-probability bounds for the reconstruction error of PCA
Statistics & Probability Letters 161, 2020
(with C. Milbradt) - Perturbation bounds for eigenspaces under
a relative gap condition
Proceedings of the AMS 148, 479-494, 2020
(with M. Jirak) - Nonasymptotic upper bounds for the reconstruction error of PCA
Annals of Statistics 48, 1098-1123, 2020
(with M. Reiß) - Functional estimation and hypothesis testing
in nonparametric boundary models
Bernoulli 25, 2597-2619, 2019
(with M. Reiß). - On the mod-Gaussian convergence of a sum over primes
Mathematische Zeitschrift 276, 635-654, 2014.
Preprints