paper

Path storage in the particle filter

arXiv:1307.3180 · doi:10.1007/s11222-013-9445-x

Abstract

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 where is the time horizon, is the number of particles and is a constant, as well as an efficient algorithm to realise this. The theoretical result and the algorithm are illustrated with numerical experiments.

9 pages, 5 figures. To appear in Statistics and Computing

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