On Monday (Jan. 16, 3pm, CREST–ENSAE, Room S08), Nicolas Chopin will present a talk on:
Dealing with intractability: recent advances in Bayesian Monte-Carlo methods for intractable likelihoods
(joint works with P. Jacob, O. Papaspiliopoulos and S. Barthelmé)This talk will start with a review of recent advancements in Monte Carlo methodology for intractable problems; that is problems involving intractable quantities, typically intractable likelihoods. I will discuss in turn ABC type methods (a.k.a. likelihood-free), auxiliary variable methods for dealing with intractable normalising constants (e.g. the exchange algorithm), and MC² type of algorithms, a recent extension of which being the PMCMC algorithm (Andrieu et al., 2010). Then, I will present two recent pieces of work in these direction. First, and more briefly briefly, I’ll present the ABC-EP algorithm (Chopin and Barthelmé, 2011). I’ll also discuss some possible future research in ABC theory. Second, I’ll discuss the SMC² algorithm (Chopin, Jacob and Papaspiliopoulos, 2011), a new type of MC² algorithm that makes it possible to perform sequential analysis for virtually any state-space models, including models with an intractable Markov transition.
