no code implementations • 27 Sep 2018 • Ming Xu, Matias Quiroz, Robert Kohn, Scott A. Sisson
From this, we show that the marginal variances of the reparameterization gradient estimator are smaller than those of the score function gradient estimator.
no code implementations • 23 Jul 2018 • Matias Quiroz, Mattias Villani, Robert Kohn, Minh-Ngoc Tran, Khue-Dung Dang
The rapid development of computing power and efficient Markov Chain Monte Carlo (MCMC) simulation algorithms have revolutionized Bayesian statistics, making it a highly practical inference method in applied work.
no code implementations • 8 May 2018 • David Gunawan, Khue-Dung Dang, Matias Quiroz, Robert Kohn, Minh-Ngoc Tran
SMC sequentially updates a cloud of particles through a sequence of distributions, beginning with a distribution that is easy to sample from such as the prior and ending with the posterior distribution.
no code implementations • 24 Jan 2018 • Matias Quiroz, David J. Nott, Robert Kohn
The variational parameters to be optimized are the mean vector and the covariance matrix of the approximation.
no code implementations • 2 Aug 2017 • Khue-Dung Dang, Matias Quiroz, Robert Kohn, Minh-Ngoc Tran, Mattias Villani
The key insight in our article is that efficient subsampling HMC for the parameters is possible if both the dynamics and the acceptance probability are computed from the same data subsample in each complete HMC iteration.
no code implementations • 27 Mar 2016 • Matias Quiroz, Minh-Ngoc Tran, Mattias Villani, Robert Kohn, Khue-Dung Dang
A pseudo-marginal MCMC method is proposed that estimates the likelihood by data subsampling using a block-Poisson estimator.
no code implementations • 10 Jul 2015 • Matias Quiroz, Mattias Villani, Robert Kohn
We propose a generic Markov Chain Monte Carlo (MCMC) algorithm to speed up computations for datasets with many observations.
no code implementations • 16 Apr 2014 • Matias Quiroz, Robert Kohn, Mattias Villani, Minh-Ngoc Tran
We propose Subsampling MCMC, a Markov Chain Monte Carlo (MCMC) framework where the likelihood function for $n$ observations is estimated from a random subset of $m$ observations.