optimal scaling for proximal MALA [All about that Bayes seminar, 21/03, Palaiseau]

An All about that Bayes seminar next Tuesday, at 2pm, at AgroParisTech, Francesca Crucinio (formerly Warwick and now ENSAE):

We consider a recently proposed class of MCMC methods which uses proximity maps instead of gradients to build proposal mechanisms which can be employed for both differentiable and non-differentiable targets. These methods have been shown to be stable for a wide class of targets, making them a valuable alternative to Metropolis-adjusted Langevin algorithms (MALA); and have found wide application in imaging contexts. The wider stability properties are obtained by building the Moreau-Yoshida envelope for the target of interest, which depends on a parameter λ. In this work, we investigate the optimal scaling problem for this class of algorithms, which encompasses MALA, and provide practical guidelines for the implementation of these methods.
Joint work with Alain Durmus, Pablo Jiménez, Gareth O. Roberts.

unbiased MCMC with couplings [4pm, 26 Feb., Paris]

On Wednesday, 26 February, Pierre Jacob (Havard U, currently visiting Paris-Dauphine) is giving a seminar on unbiased MCMC methods with couplings at AgroParisTech, bvd Claude Bernard, Paris 5ième, Room 32, at 4pm in the All about that Bayes seminar.

MCMC methods yield estimators that converge to integrals of interest in the limit of the number of iterations. This iterative asymptotic justification is not ideal; first, it stands at odds with current trends in computing hardware, with increasingly parallel architectures; secondly, the choice of “burn-in” or “warm-up” is arduous. This talk will describe recently proposed estimators that are unbiased for the expectations of interest while having a finite computing cost and a finite variance. They can thus be generated independently in parallel and averaged over. The method also provides practical upper bounds on the distance (e.g. total variation) between the marginal distribution of the chain at a finite step and its invariant distribution. The key idea is to generate “faithful” couplings of Markov chains, whereby pairs of chains coalesce after a random number of iterations. This talk will provide an overview of this line of research.

Scott Sisson’s ABC seminar in Paris [All about that Bayes]

On the “All about that Bayes” seminar tomorrow (Tuesday 21 at 3p.m., room 42, AgroParisTech, 16 rue Claude Bernard, Paris 5ième), Scott Sisson, School of Mathematics and Statistics at UNSW, and visiting Paris-Dauphine this month, will give a talk on

Approximate posteriors and data for Bayesian inference

Abstract
For various reasons, including large datasets and complex models, approximate inference is becoming increasingly common. In this talk I will provide three vignettes of recent work. These cover a) approximate Bayesian computation for Gaussian process density estimation, b) likelihood-free Gibbs sampling, and c) MCMC for approximate (rounded) data.

tenured research position on ABC in Paris!

Just to make sure this fabulous announcement has not gone undetected: there is a permanent research (I repeat, permanent research!) position in statistics is open at AgroParisTech/INRA (a French institute/school on biology, agronomy, veterinary sciences, environmental sciences) with the profile ‘Approximate inference methods for complex systems’ (Hence my title!). Applications must be received by February 28th. See here for more details on the profile and there for the application process. Please contact Eric PARENT for further information. (There are other tenured positions posted by INRA, and there will be a regular lecturer position at Paris-Dauphine opening soon.)