In early March 2025 I finished my PhD in mathematics on the topic of slice sampling, for which I was jointly supervised by Michael Habeck and Daniel Rudolf and associated to both the Interactive Inference project and the Collaborative Research Center 1456 Mathematics of Experiment. Subsequently, I am now carrying on my scientific work as a PostDoc, where I continue working on some remaining projects relating to slice sampling while also delving into some new topics.

My Pages

arXiv Publications
Google Scholar
Research Gate
Semantic Scholar
LinkedIn

Publications

• Slice Sampling: Theoretical and Methodological Advances
  Philip Schär
  PhD thesis, Friedrich Schiller University Jena, 2025
  Link to Thesis

• A dimension-independent bound on the Wasserstein contraction rate of a geodesic random walk on the sphere
  Philip Schär, Thilo Stier
  Electronic Communications in Probability 29, article 62, 2024
  Link to Paper

• Parallel affine transformation tuning of Markov chain Monte Carlo
  Philip Schär, Michael Habeck, Daniel Rudolf
  Proceedings of the 41st International Conference on Machine Learning (ICML).
  PMLR 235, pp. 43571-43607, 2024
  Link to Paper
  Link to Source Code

• Wasserstein contraction and spectral gap of slice sampling revisited
  Philip Schär
  Electronic Journal of Probability 28, article 136, 2023
  Link to Paper

• Dimension-independent spectral gap of polar slice sampling
  Daniel Rudolf, Philip Schär
  Statistics and Computing 34(1), article 20, 2024
  Link to Paper

• Gibbsian polar slice sampling
  Philip Schär, Michael Habeck, Daniel Rudolf
  Proceedings of the 40th International Conference on Machine Learning (ICML),
  PMLR 202, pp. 30204-30223, 2023
  Link to Paper
  Link to Source Code