Summer school: Les Houches on Dark Universe

Short course 1: Field-level inference

Jul 25, 2025, 11:00 AM

1h 30m

Ecole de Physique des Houches

Talk Lecture: Large scale structures of the universe: physics, phenomenology, statistics

Speaker

Florent Leclercq (Institut d'Astrophysique de Paris)

Description

• Introduction to field-level inference

• Part 1: Bayesian signal processing

  • Gaussian random fields
  • Bayesian signal processing and Wiener filtering (denoising)
  • Wiener filtering for linear field-level inference
  • Practical work: Bayesian denoising via Wiener filtering

• Part 2: Markov Chain Monte Carlo techniques

  • The Metropolis-Hastings algorithm
  • Markov Chain Monte Carlo Beyond Metropolis-Hastings
  • Field-level inference with non-linear models
  • Practical work: Field-level inference with a non-linear model

Presentation materials

Exercise statement

Lecture 1 slides

Notebook 1: Bayesian denoising via Wiener filtering

Notebook 2: Field-level inference with a non-linear model