Statistics and Computing

, Volume 25, Issue 3, pp 595–608

Calibrating the Gaussian multi-target tracking model

  • Sinan Yıldırım
  • Lan Jiang
  • Sumeetpal S. Singh
  • Thomas A. Dean
Article

Abstract

We present novel batch and online (sequential) versions of the expectation–maximisation (EM) algorithm for inferring the static parameters of a multiple target tracking (MTT) model. Online EM is of particular interest as it is a more practical method for long data sets since in batch EM, or a full Bayesian approach, a complete browse of the data is required between successive parameter updates. Online EM is also suited to MTT applications that demand real-time processing of the data. Performance is assessed in numerical examples using simulated data for various scenarios. For batch estimation our method significantly outperforms an existing gradient based maximum likelihood technique, which we show to be significantly biased.

Keywords

Multiple target tracking Parameter estimation Online Expectation–maximization Particle filters 

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Sinan Yıldırım
    • 1
  • Lan Jiang
    • 2
  • Sumeetpal S. Singh
    • 2
  • Thomas A. Dean
    • 2
  1. 1.School of MathematicsUniversity of BristolBristolUK
  2. 2.Department of EngineeringUniversity of CambridgeCambridgeUK

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