Efficient Bayesian Inference for Nested Simulators. Gram-Hansen, B, Schroeder de Witt, C, Zinkov, R, Naderiparizi, S, Scibior, A, Munk, A, Wood, F, Ghadiri, M, Torr, P, Whye Teh, Y, Gunes Baydin, A, & Rainforth, T In 2nd Symposium on Advances in Approximate Bayesian Inference (AABI), 2019. Link Paper bibtex @inproceedings{GRA-19,
title={Efficient Bayesian Inference for Nested Simulators},
author={Gram-Hansen, B and Schroeder de Witt, C and Zinkov, R and Naderiparizi, S and Scibior, A and Munk, A and Wood, F and Ghadiri, M and Torr, P and Whye Teh, Y and Gunes Baydin, A and Rainforth, T},
booktitle={2nd Symposium on Advances in Approximate Bayesian Inference (AABI)},
year={2019},
support = {D3M},
url_Link={https://openreview.net/forum?id=rJeMcy2EtH},
url_Paper={https://openreview.net/pdf?id=rJeMcy2EtH},
abstact={We introduce two approaches for conducting efficient Bayesian inference in stochastic simulators containing nested stochastic sub-procedures, i.e., internal procedures for which the density cannot be calculated directly such as rejection sampling loops. The resulting class of simulators are used extensively throughout the sciences and can be interpreted as probabilistic generative models. However, drawing inferences from them poses a substantial challenge due to the inability to evaluate even their unnormalised density, preventing the use of many standard inference procedures like Markov Chain Monte Carlo (MCMC). To address this, we introduce inference algorithms based on a two-step approach that first approximates the conditional densities of the individual sub-procedures, before using these approximations to run MCMC methods on the full program. Because the sub-procedures can be dealt with separately and are lower-dimensional than that of the overall problem, this two-step process allows them to be isolated and thus be tractably dealt with, without placing restrictions on the overall dimensionality of the problem. We demonstrate the utility of our approach on a simple, artificially constructed simulator.}
}
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