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Path storage in the particle filter

This article considers the problem of storing the paths generated by a particle filter and more generally by a sequential Monte Carlo algorithm. It provides a theoretical result bounding the expected memory cost by T + CN log N where T is the time horizon, N is the number of particles and C is a con...

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Bibliographic Details
Published in:Statistics and computing 2015-03, Vol.25 (2), p.487-496
Main Authors: Jacob, Pierre E., Murray, Lawrence M., Rubenthaler, Sylvain
Format: Article
Language:English
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Summary:This article considers the problem of storing the paths generated by a particle filter and more generally by a sequential Monte Carlo algorithm. It provides a theoretical result bounding the expected memory cost by T + CN log N where T is the time horizon, N is the number of particles and C is a constant, as well as an efficient algorithm to realise this. The theoretical result and the algorithm are illustrated with numerical experiments.
ISSN:0960-3174
1573-1375
DOI:10.1007/s11222-013-9445-x