(30 minutes to learn)
The Swedsen-Wang algorithm is an MCMC algorithm for sampling from Ising models. It is an auxiliary variable model, where we define a set of "bond" variables which determine which states are coupled, and we alternate between sampling the states and the bond variables. It mixes much faster than Gibbs sampling in models where the variables are tightly coupled.
This concept has the prerequisites:
Core resources (read/watch one of the following)
→ Machine Learning: a Probabilistic Perspective
A very comprehensive graudate-level machine learning textbook.
Location: Section 24.5.3, pages 866-868
Supplemental resources (the following are optional, but you may find them useful)
→ Bayesian Reasoning and Machine Learning
A textbook for a graudate machine learning course.
→ Machine learning summer school: Markov chain Monte Carlo (2009)
A video tutorial on MCMC methods.
Location: Part 2, 22:58 to 27:26
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