Bernoulli race particle filters

When the weights in a particle filter are not available analytically, standard resampling methods cannot be employed. To circumvent this problem state-of-the-art algorithms replace the true weights with non-negative unbiased estimates. This algorithm is still valid but at the cost of higher variance...

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Main Authors: Schmon, S, Deligiannidis, G, Doucet, A
Format: Conference item
Published: MLR Press 2019
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author Schmon, S
Deligiannidis, G
Doucet, A
author_facet Schmon, S
Deligiannidis, G
Doucet, A
author_sort Schmon, S
collection OXFORD
description When the weights in a particle filter are not available analytically, standard resampling methods cannot be employed. To circumvent this problem state-of-the-art algorithms replace the true weights with non-negative unbiased estimates. This algorithm is still valid but at the cost of higher variance of the resulting filtering estimates in comparison to a particle filter using the true weights. We propose here a novel algorithm that allows for resampling according to the true intractable weights when only an unbiased estimator of the weights is available. We demonstrate our algorithm on several examples.
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spelling oxford-uuid:bf5055fa-1825-4005-a4ff-c8d1c6c3f0882022-03-27T05:46:33ZBernoulli race particle filtersConference itemhttp://purl.org/coar/resource_type/c_5794uuid:bf5055fa-1825-4005-a4ff-c8d1c6c3f088Symplectic Elements at OxfordMLR Press2019Schmon, SDeligiannidis, GDoucet, AWhen the weights in a particle filter are not available analytically, standard resampling methods cannot be employed. To circumvent this problem state-of-the-art algorithms replace the true weights with non-negative unbiased estimates. This algorithm is still valid but at the cost of higher variance of the resulting filtering estimates in comparison to a particle filter using the true weights. We propose here a novel algorithm that allows for resampling according to the true intractable weights when only an unbiased estimator of the weights is available. We demonstrate our algorithm on several examples.
spellingShingle Schmon, S
Deligiannidis, G
Doucet, A
Bernoulli race particle filters
title Bernoulli race particle filters
title_full Bernoulli race particle filters
title_fullStr Bernoulli race particle filters
title_full_unstemmed Bernoulli race particle filters
title_short Bernoulli race particle filters
title_sort bernoulli race particle filters
work_keys_str_mv AT schmons bernoulliraceparticlefilters
AT deligiannidisg bernoulliraceparticlefilters
AT douceta bernoulliraceparticlefilters