I'm a postdoctoral fellow at ETH Zurich in the Foundations of Data Science. Right now I'm especially interested in research questions of robustness and stability arising in machine learning as well as inverse problems theory and causality. Most of my research is in probability theory, statistics and stochastic geometry. From 2016 to 2019 I was an algorithm developer at CI Tech Sensors AG in the group of Armin Stöckli. In 2016 I was a postdoc at Ruhr University Bochum in Probability Theory working with Peter Eichelsbacher and Christoph Thäle. I did my PhD in 2014 at the Institute for Stochastics and my diploma thesis at the Institute for Algebra and Geometry in 2011 at Karlsruhe Institute for Technology (KIT) both advised by Daniel Hug. |

Publications*

- A. Kousholt, J. Schulte. Reconstruction of convex bodies from moments.

Discrete and Computational Geometry (2020)

[code] - J. Schulte, D. Staps, A. Lampe. A feasibility study of deep neural networks for the recognition of banknotes regarding central bank requirements, arXiv:1907.07890
- J. Hörrmann, J. Prochno, C. Thäle. Isotropic constant of random polytopes with vertices on an l_p-sphere.

Journal of Geometric Analysis 28 (2018), 405-426.

- J. Schulte, W. Weil. Valuations and Boolean models. (2017)

Chapter in `Tensor Valuations and their Applications in Stochastic Geometry and Imaging' (Editors E.V. Jensen and M. Kiderlen, Lecture Notes in Mathematics. ). - C. Deuss, J. Hörrmann, C. Thäle. A random cell splitting scheme on the sphere.

Stochastic Processes and their Applications 127 (2017), 1544-1564. - J. Hörrmann, A.M. Svane. Local digital algorithms applied to Boolean models.

Scandinavian Journal of Statistics 44 (2017), 369-395. - J. Hörrmann, D. Hug, M. Reitzner, C. Thäle. Poisson polyhedra in high dimensions.

Advances in Mathematics 281 (2015), 1-39. - J. Hörrmann, D. Hug, M. Klatt, K. Mecke. Minkowski tensor density formulas for Boolean models.

Advances in Applied Mathematics 55 (2014), 48-85. - J. Hörrmann, D. Hug. On the volume of the zero cell of a class of isotropic Poisson hyperplane tessellations.

Advances in Applied Probability 46 (2014), 1-21. - J. Hörrmann. The method of densities for non-isotropic Boolean models.

PhD thesis (2014). - J. Hörrmann. The Zero Cell of Poisson Hyperplane Tessellations in High Dimensions.

Diploma thesis (2011).

*I published under the names Julia Schulte and Julia Hörrmann