Piecewise Deterministic Markov Processes (PDMP)
Mailing List:
http://listserv.csv.warwick.ac.uk/mailman/listinfo/dmp.reading.group
Zoom Link:
Join Zoom Meeting
https://bristol-ac-uk.zoom.us/j/92141845761?pwd=bEJ3R1JxZ0QxOEF1aFVPZjg1STQyZz09
Meeting ID: 921 4184 5761
Passcode: 193935
Notes of the Meetings:
Slides from the talks can be found here.
Term 1:
12/10/2021: Giorgos Vasdekis (Warwick)
19/10/2021: Augustin Chevallier (Lancaster)
26/10/2021: Alice Corbella (Warwick)
02/11/2021: Sam Power (Bristol)
09/11/2021: Andi Wang (Bristol)
16/11/2021: Filippo Pagani (Cambridge)
23/11/2021: Andrea Bertazzi (Delft)
07/12/2021: Sebastiano Grazzi (Delft)
Literature:
For a good literature review on PDMPs for MCMC see Joris Bierkens' webpage.
Markov Models and Optimisation, Davis (Book) (The main book concerning PDMPs)
Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models, Davis (The first paper, introducing PDMPs)
Analysis Of a Nonreversible Markov Chain Sampler, Diaconis, Holmes, Neal (The idea of lifting to generate non-reversible markov chains, briefly touched upon on Meeting 1)
Piecewise Deterministic Markov Processes and their invariant measures, Durmus, Guillin, Monmarch´e (Very technical paper on ways to check when the PDMP has the right distribution. Maybe leave it for later on and proceed with caution!)
The Zig-Zag process and super-efficient sampling for Bayesian analysis of big data, Bierkens, Fearnhead, Roberts (The main paper on the Zig-Zag process as an MCMC algorithm)
A piecewise deterministic scaling limit of Lifted Metropolis-Hastings in the Curie-Weiss model, Bierkens, Roberts (A first encounter of the Zig-Zag process)
The Bouncy Particle Sampler: A Non-Reversible Rejection-Free Markov Chain Monte Carlo Method, Bouchard-Cote, Vollmer, Doucet (The main paper on the Bouncy Particle Sampler (BPS) as an MCMC algorithm)