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On the use and misuse of Bayesian filters

  • Universidad de Salamanca
  • Technical University of Madrid

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

Since the groundbreaking work of the Kalman filter in the 1960s, considerable effort has been devoted to discrete time filters for dynamic state estimation, especially including a variety of suboptimal implementations of the Bayesian filter. The essence of the Bayesian filter is to make the (sub)optimum fusion of the observation information in time sequence based on the hidden Markov model of the state process. While admitting the success of filters in many cases, this study investigates the cases when they in fact loose to the deterministic observation-only (O2) inference that infers the estimate by using the observation information only without modeling the state dynamics. Special attention has been paid to quantitatively analyzing when and why the Bayesian filter will underperform the O2 inference from the information fusion perspective. Classic state space models have shown that the O2 inference can perform better (in terms of both accuracy and computing speed) than filters in certain cases. Therefore attention is desired for the use of a filter when the model is not guaranteed to be accurate and much approximation is used.

Original languageEnglish
Title of host publication2015 18th International Conference on Information Fusion, Fusion 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages838-845
Number of pages8
ISBN (Electronic)9780982443866
StatePublished - 14 Sep 2015
Externally publishedYes
Event18th International Conference on Information Fusion, Fusion 2015 - Washington, United States
Duration: 6 Jul 20159 Jul 2015

Publication series

Name2015 18th International Conference on Information Fusion, Fusion 2015

Conference

Conference18th International Conference on Information Fusion, Fusion 2015
Country/TerritoryUnited States
CityWashington
Period6/07/159/07/15

Keywords

  • Bayesian filter
  • Bayesian statistical inference
  • Kalman filter
  • observation-only inference
  • particle filter

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