Iterative Nonlinear Kalman Filtering via Variational Evidence Lower Bound Maximization

Yumei Hu, Quan Pan, Zhen Guo, Zhiyuan Shi, Zhentao Hu

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

2 Scopus citations

Abstract

In this paper, the problem of nonlinear Kalman filtering is considered from the viewpoint of variational evidence lower bound maximization, where the posterior distribution is approximated iteratively by a solvable variational distribution. In this way, the hardly intractable integration of the nonlinear posterior probability density function can be converted to the optimization of evidence lower bound. Based on linearization, an iterative nonlinear filter is derived in a closed form. Examples of tracking a moving target by three range-only sensors and univariate nonstationary growth model are presented to demonstrate the efficiency of proposed method compared with several nonlinear filters, as well as the interpretation of ELBO with different iterations and Kullback-Leibler divergence between estimated posterior distribution and true probability density.

Original languageEnglish
Title of host publicationFUSION 2019 - 22nd International Conference on Information Fusion
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9780996452786
StatePublished - Jul 2019
Event22nd International Conference on Information Fusion, FUSION 2019 - Ottawa, Canada
Duration: 2 Jul 20195 Jul 2019

Publication series

NameFUSION 2019 - 22nd International Conference on Information Fusion

Conference

Conference22nd International Conference on Information Fusion, FUSION 2019
Country/TerritoryCanada
CityOttawa
Period2/07/195/07/19

Keywords

  • evidence lower bound optimization
  • Kullback-Leibler divergence
  • nonlinear filtering
  • target tracking
  • variational Bayes

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