Abstract #300222

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JSM 2003 Abstract #300222
Activity Number: 405
Type: Topic Contributed
Date/Time: Wednesday, August 6, 2003 : 2:00 PM to 3:50 PM
Sponsor: Section on Bayesian Stat. Sciences
Abstract - #300222
Title: Efficient Sampling from Nonstandard Distributions Using Neural Network Approximations
Author(s): Lennart Hoogerheide*+ and Herman Koene van Dijk
Companies: Erasmus University Rotterdam and Erasmus University Rotterdam
Address: Tinbergen Institute, Rotterdam, NL-3062 PA, Netherlands
Keywords: Neural networks ; Markov chain Monte Carlo methods ; Importance sampling
Abstract:

The performance of integration methods like importance sampling or Markov chain Monte Carlo procedures greatly depends on the choice of the importance or candidate density. Usually, an importance or candidate density that is 'close' to the target density will efficiently yield reliable sampling results. Neural networks seem to be natural importance and candidate densities, as they have a universal approximation property and are easy to sample from. This sampling can be done either directly or using a Gibbs sampling technique (possibly using auxiliary variables), depending on the exact specification of the neural network. Part of the computing time is invested in constructing a neural network approximation to the target density in order to make the sampling more efficient and/or reliable. Experiments using mixtures of distributions and empirical examples involving some nonstandard, nonelliptical posterior distributions indicate the feasibility of our approach.


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