Robert Reischke

Postdoctoral Fellow · Argelander Institute for Astronomy, University of Bonn

Current Term: Summer Term 2026

Statistical Methods for Astrophysics and Cosmology (lecturer) · University of Bonn
Master's course on Bayesian inference, information theory, and statistical methods. Materials at github.com/rreischke/astrostat_2026 · Lecture notes (PDF).

Week 1, 13.04–17.04.2026
Introduction and organisational matters
Motivation for the course and goals (Section 1)
Basics of probability theory (Section 2)
Week 2, 20.04–24.04.2026
Basics of probability theory (Section 2)
Starting with estimates (Section 3)
Exercise Sheet 1 (will be discussed on 27.04.) · Solution Sheet 1
Week 3, 27.04–01.05.2026
Estimates (Section 3)
Exercise Sheet 2 (will be discussed on 04.05.) · Solution Sheet 2
Week 4, 04.05–08.05.2026
Maximum likelihood estimation (Section 4, MLE, Fisher matrix)
Exercise Sheet 3 (will be discussed on 11.05.) · Solution Sheet 3
Week 5, 11.05–15.05.2026
Maximum likelihood estimation continued (Section 4, confidence intervals, Cramér-Rao bound, chi-squared)
For help in sheet 4 follow the guide in Section 4.12 and check this notebook
Exercise Sheet 4 (will be discussed on 18.05.)
Week 6, 18.05–22.05.2026 (dies academicus)
Repetition of MLE
Week 7, 25.05–29.05.2026 (Pentecost)
No lecture
Week 8, 01.06–05.06.2026
Bayesian inference (Section 5)
Exercise Sheet 5 (will be discussed on 08.06.)
Week 9, 08.06–12.06.2026
Bayesian model comparison (end of Section 5)
Sampling methods (Section 6)
Exercise Sheet 6 (will be discussed on 15.06.) · Solution Sheet 6
Week 10, 15.06–19.06.2026
Markov Chain Monte Carlo, Metropolis Hastings, analysing MCMC, convergence criteria, alternative MCMC methods (Section 6)
Exercise Sheet 7 (will be discussed on 22.06.)
Week 11, 22.06–26.06.2026
Alternative MCMC methods, example with linear regression, repetition, summary and questions (Section 6)
There will be no entirely new topic this week because I think everyone's brain will be fried enough this week given the heat
MCMC example PageRank from google
Week 12, 29.06–03.07.2026
Machine learning (section 7), definition, loss, regularisation, fitting
Exercise Sheet 8 (will be discussed on 06.07.) · Solution Sheet 8
Week 13, 06.07–10.07.2026
Machine learning (section 7), regularisation, neural networks, training, backpropagation
Exercise Sheet 9 (will be discussed on 13.07.) · Solution Sheet 9
Week 14, 13.07–17.07.2026
Simulation-based inference (section 8), repetition, questions

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