Dr. Martin Kroll

Ruhr-Universität Bochum
Department of Mathematics
Institute of Statistics
Building IB 2/67
Universitätsstrasse 150
D-44801 Bochum

Tel.: +49 (0)234 / 32 27593
Fax: +49 (0)234 / 32 14559

E-Mail: martin dot kroll-k9x at ruhr-uni-bochum.de

Office hours

By appointment

Research interests

  • Nonparametric statistics
  • Differential privacy
  • Design of experiments (with applications in materials science)


Submitted manuscripts

Kroll, M., Schmalofski, T., Dette, H. and Janisch, R. (2021)
Efficient prediction of grain boundary energies from atomistic simulations via sequential design. (arXiv:2111.13767)

Györfi, L. and Kroll, M. (2021)
Multivariate density estimation from privatised data: universal concistency and minimax rates. (arXiv:2107.12649)

Dette, H. and Kroll, M. (2021)
Asymptotic equivalence for nonparametric regression with dependent errors: Gauss-Markov processes (PDF)

Kroll, M. (2020)
Adaptive spectral density estimation by model selection under local differential privacy (PDF)

Published articles in journals

Kroll, M. (2021)
On density estimation at a fixed point under local differential privacy (doi)
Electronic Journal of Statistics 15, 1783–1813

Butucea, C., Dubois, A., Kroll, M., Saumard, A. (2020)
Local differential privacy: Elbow effect in optimal density estimation and adaptation over Besov ellipsoids (doi)
Bernoulli 26(3), 1727–1764

Kroll, M. (2019)
Rate optimal estimation of quadratic functionals in inverse problems with partially unknown operator and application to testing problems (doi)
ESAIM Probab. Stat., 23, 524–551

Kroll, M. (2019)
Nonparametric intensity estimation from noisy observations of a Poisson process under unknown error distribution (doi)
Metrika 82(8), 961–990

Kroll, M. (2019)
Non-parametric Poisson regression from independent and weakly dependent observations by model selection (doi)
J. Statist. Plann. Inference 199, 249–270

Kroll, M., Schnell. R. (2016)
Anonymisation of geographical distance matrices via Lipschitz embedding (doi)
International Journal of Health Geographics, 15(1), 249–270

Kroll, M. (2014)
A graph theoretic linkage attack on microdata in a metric space
Transactions on Data Privacy, 8(3), 217–243

Niedermeyer, F., Steinmetzer, S., Kroll, M., and Schnell, R. (2014)
Cryptanalysis of Basic Bloom Filters Used for Privacy Preserving Record Linkage (doi)
Journal of Privacy and Confidentiality, 6(2)

Contributions to conferences

Butucea, C., Dubois, A., Kroll, M., Saumard, A. (2019)
Adaptation sur des espaces de Besov en estimation de la densité sous contrainte de confidentialité locale (PDF)
Journées de Statistique, Société Française de Statistique, Nantes 2019

Kroll, M., Steinmetzer, S. (2015)
Automated Cryptanalysis of Bloom Filter Encryptions of Health Records
Proceedings of the International Joint Conference on Biomedical Engineering Systems and Technologies, Volume 5, BIOSTEC 2015. SCITEPRESS - Science and Technology Publications, Lda, Lisbon, 5–13

Articles in anthologies

Kroll, M., Steinmetzer, S. (2015)
Who Is 1011011111. . .1110110010? Automated Cryptanalysis of Bloom Filter Encryptions of Databases with Several Personal Identifiers (doi)
Biomedical Engineering Systems and Technologies. Ed. by Fred, A., Gamboa, H., and Elias, D. Springer International Publishing, Cham, 341–356