PARTICLE FILTER WITH REJECTION CONTROL AND UNBIASED ESTIMATOR OF THE MARGINAL LIKELIHOOD
2020 (English)In: 2020 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, IEEE , 2020, p. 5860-5864Conference paper, Published paper (Refereed)
Abstract [en]
We consider the combined use of resampling and partial rejection control in sequential Monte Carlo methods, also known as particle filters. While the variance reducing properties of rejection control are known, there has not been (to the best of our knowledge) any work on unbiased estimation of the marginal likelihood (also known as the model evidence or the normalizing constant) in this type of particle filter. Being able to estimate the marginal likelihood without bias is highly relevant for model comparison, computation of interpretable and reliable confidence intervals, and in exact approximation methods, such as particle Markov chain Monte Carlo. In the paper we present a particle filter with rejection control that enables unbiased estimation of the marginal likelihood.
Place, publisher, year, edition, pages
IEEE , 2020. p. 5860-5864
Series
International Conference on Acoustics Speech and Signal Processing ICASSP, ISSN 1520-6149
Keywords [en]
Particle filters; sequential Monte Carlo (SMC); partial rejection control; unbiased estimate of the marginal likelihood
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:liu:diva-173870DOI: 10.1109/ICASSP40776.2020.9053305ISI: 000615970406024ISBN: 978-1-5090-6631-5 (electronic)OAI: oai:DiVA.org:liu-173870DiVA, id: diva2:1535622
Conference
IEEE International Conference on Acoustics, Speech, and Signal Processing, Barcelona, SPAIN, may 04-08, 2020
Note
Funding Agencies|Swedish Foundation for Strategic Research via the project ASSEMBLESwedish Foundation for Strategic Research [RIT15-0012]; Swedish Research CouncilSwedish Research CouncilEuropean Commission [2013-4853, 2017-03807]
2021-03-092021-03-092021-03-09