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Diffusion Models, Sampling and Stochastic Localization
Last Updated: 2026-02-05 16:37:26
Abstract
This is a master/PhD level course to prepare students for academic research in Markov chain Monte Carlo sampling algorithms, diffusion generative models and the associated theory. We cover basic sampling algorithms, provide geometric intuitions and show frameworks for proving results in log-concave sampling.
Objective
The main objective is to learn about the basic sampling algorithms such as ball walk, Langevin algorithms and Hamiltonian Monte Carlo. From these classic sampling algorithms, we make connections with the diffusion generative models, which are the state-of-the-art models for generating natural images. Additionally, we cover theoretical frameworks to prove convergence guarantees of sampling algorithms, including the stochastic localization technique.
Resources
Learning Materials (Links)
- Main link
- Information
General Information
- Language
- English
- Levels
- DR
Examination
- Type
- ungraded semester performance
Registration & Places
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Diffusion Models, Sampling and Stochastic Localization |
|
14 h semesterly |
Offered In
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Doctorate Mathematics (More Information at: )
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Subject Specialisation (The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM.)
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Graduate School (Official website of the Zurich Graduate School in Mathematics: )
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