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Sequential quasi-Monte Carlo: Introduction for Non-Experts, Dimension Reduction, Application to Partly Observed Diffusion Processes

Nicolas Chopin and Mathieu Gerber ()
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Mathieu Gerber: School of Mathematics, university of Bristol, University Walk, Clifton, Bristol

No 2017-35, Working Papers from Center for Research in Economics and Statistics

Abstract: SMC (Sequential Monte Carlo) is a class of Monte Carlo algorithms for filtering and related sequential problems. [16] introduced SQMC (Sequential quasi-Monte Carlo), a QMC version of SMC. This paper has two objectives: (a) to introduce Sequential Monte Carlo to the QMC community, whose members are usually less familiar with state-space models and particle filtering; (b) to extend SQMC to the filtering of continuous-time state-space models, where the latent process is a diffusion. A recurring point in the paper will be the notion of dimension reduction, that is how to implement SQMC in such a way that it provides good performance despite the high dimension of the problem.

Pages: 23 pages
Date: 2017-06-01
New Economics Papers: this item is included in nep-ecm
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