Search Results for author: Gareth Roberts

Found 5 papers, 5 papers with code

Bayesian Fusion: Scalable unification of distributed statistical analyses

2 code implementations3 Feb 2021 Hongsheng Dai, Murray Pollock, Gareth Roberts

By means of extensive guidance on the implementation of the approach, we demonstrate theoretically and empirically that Bayesian Fusion is robust to increasing numbers of analyses, and coherently unifying analyses which do not concur.

Methodology

The Boomerang Sampler

2 code implementations ICML 2020 Joris Bierkens, Sebastiano Grazzi, Kengo Kamatani, Gareth Roberts

We demonstrate theoretically and empirically that we can also construct a control-variate subsampling boomerang sampler which is also exact, and which possesses remarkable scaling properties in the large data limit.

Scalable Importance Tempering and Bayesian Variable Selection

1 code implementation1 May 2018 Giacomo Zanella, Gareth Roberts

We propose a Monte Carlo algorithm to sample from high dimensional probability distributions that combines Markov chain Monte Carlo and importance sampling.

Variable Selection

Piecewise Deterministic Markov Processes for Scalable Monte Carlo on Restricted Domains

4 code implementations16 Jan 2017 Joris Bierkens, Alexandre Bouchard-Côté, Arnaud Doucet, Andrew B. Duncan, Paul Fearnhead, Thibaut Lienart, Gareth Roberts, Sebastian J. Vollmer

Piecewise Deterministic Monte Carlo algorithms enable simulation from a posterior distribution, whilst only needing to access a sub-sample of data at each iteration.

Methodology Computation

The Zig-Zag Process and Super-Efficient Sampling for Bayesian Analysis of Big Data

6 code implementations11 Jul 2016 Joris Bierkens, Paul Fearnhead, Gareth Roberts

Standard MCMC methods can scale poorly to big data settings due to the need to evaluate the likelihood at each iteration.

Computation Probability 65C60, 65C05, 62F15, 60J25

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