Search Results for author: Christian P. Robert

Found 8 papers, 2 papers with code

Rao-Blackwellization in the MCMC era

no code implementations4 Jan 2021 Christian P. Robert, Gareth O. Roberts

Rao-Blackwellization is a notion often occurring in the MCMC literature, with possibly different meanings and connections with the original Rao--Blackwell theorem (Rao, 1945 and Blackwell, 1947), including a reduction of the variance of the resulting Monte Carlo approximations.

Computation Statistics Theory Statistics Theory

Parallelising MCMC via Random Forests

no code implementations21 Nov 2019 Wu Changye, Christian P. Robert

For Bayesian computation in big data contexts, the divide-and-conquer MCMC concept splits the whole data set into batches, runs MCMC algorithms separately over each batch to produce samples of parameters, and combines them to produce an approximation of the target distribution.

Faster Hamiltonian Monte Carlo by Learning Leapfrog Scale

1 code implementation10 Oct 2018 Changye Wu, Julien Stoehr, Christian P. Robert

Hamiltonian Monte Carlo samplers have become standard algorithms for MCMC implementations, as opposed to more basic versions, but they still require some amount of tuning and calibration.

Computation Data Structures and Algorithms

Generalized Bouncy Particle Sampler

3 code implementations15 Jun 2017 Changye Wu, Christian P. Robert

As a special example of piecewise deterministic Markov process, bouncy particle sampler is a rejection-free, irreversible Markov chain Monte Carlo algorithm and can draw samples from target distribution efficiently.

Computation

ABC random forests for Bayesian parameter inference

no code implementations18 May 2016 Louis Raynal, Jean-Michel Marin, Pierre Pudlo, Mathieu Ribatet, Christian P. Robert, Arnaud Estoup

We propose to conduct likelihood-free Bayesian inferences about parameters with no prior selection of the relevant components of the summary statistics and bypassing the derivation of the associated tolerance level.

Bayesian Inference

Likelihood-free Model Choice

no code implementations26 Mar 2015 Jean-Michel Marin, Pierre Pudlo, Arnaud Estoup, Christian P. Robert

This document is an invited chapter covering the specificities of ABC model choice, intended for the incoming Handbook of ABC by Sisson, Fan, and Beaumont (2017).

Reliable ABC model choice via random forests

no code implementations24 Jun 2014 Pierre Pudlo, Jean-Michel Marin, Arnaud Estoup, Jean-Marie Cornuet, Mathieu Gautier, Christian P. Robert

We thus modify the way Bayesian model selection is both understood and operated, in that we rephrase the inferential goal as a classification problem, first predicting the model that best fits the data with random forests and postponing the approximation of the posterior probability of the predicted MAP for a second stage also relying on random forests.

Bayesian Inference Model Selection

Adaptive approximate Bayesian computation

no code implementations15 May 2008 Mark A. Beaumont, Jean-Marie Cornuet, Jean-Michel Marin, Christian P. Robert

Sequential techniques can enhance the efficiency of the approximate Bayesian computation algorithm, as in Sisson et al.'s (2007) partial rejection control version.

Computation

Cannot find the paper you are looking for? You can Submit a new open access paper.