Team for Research in
Ubiquitous Secure Technology

Hierarchical Dirichlet Processes for Tracking Maneuvering Targets
Emily B. Fox, Erik Sudderth, Alan S. Willsky

Citation
Emily B. Fox, Erik Sudderth, Alan S. Willsky. "Hierarchical Dirichlet Processes for Tracking Maneuvering Targets". Proceedings of the International Conference on Information Fusion, January, 2007.

Abstract
We consider the problem of state estimation for a dynamic system driven by unobserved, correlated inputs. We model these inputs via an uncertain set of temporally correlated dynamic models, where this uncertainty includes the number of modes, their associated statistics, and the rate of mode transitions. The dynamic system is formulated via two interacting graphs: a hidden Markov model (HMM) and a linear-Gaussian state space model. The HMM’s state space indexes system modes, while its outputs are the unobserved inputs to the linear dynamical system. This Markovian structure accounts for temporal persistence of input regimes, but avoids rigid assumptions about their detailed dynamics. Via a hierarchical Dirichlet process (HDP) prior, the complexity of our infinite state space robustly adapts to new observations. We present a learning algorithm and computational results that demonstrate the utility of the HDP for tracking, and show that it efficiently learns typical dynamics from noisy data.

Electronic downloads

Citation formats  
  • HTML
    Emily B. Fox, Erik Sudderth, Alan S. Willsky. <a
    href="http://www.truststc.org/pubs/260.html"
    >Hierarchical Dirichlet Processes for Tracking
    Maneuvering Targets</a>, Proceedings of the 
    International Conference on Information Fusion, January,
    2007.
  • Plain text
    Emily B. Fox, Erik Sudderth, Alan S. Willsky.
    "Hierarchical Dirichlet Processes for Tracking
    Maneuvering Targets". Proceedings of the  International
    Conference on Information Fusion, January, 2007.
  • BibTeX
    @inproceedings{FoxSudderthWillsky07_HierarchicalDirichletProcessesForTrackingManeuvering,
        author = {Emily B. Fox and Erik Sudderth and Alan S. Willsky},
        title = {Hierarchical Dirichlet Processes for Tracking
                  Maneuvering Targets},
        booktitle = {Proceedings of the  International Conference on
                  Information Fusion},
        month = {January},
        year = {2007},
        abstract = {We consider the problem of state estimation for a
                  dynamic system driven by unobserved, correlated
                  inputs. We model these inputs via an uncertain set
                  of temporally correlated dynamic models, where
                  this uncertainty includes the number of modes,
                  their associated statistics, and the rate of mode
                  transitions. The dynamic system is formulated via
                  two interacting graphs: a hidden Markov model
                  (HMM) and a linear-Gaussian state space model. The
                  HMM’s state space indexes system modes, while
                  its outputs are the unobserved inputs to the
                  linear dynamical system. This Markovian structure
                  accounts for temporal persistence of input
                  regimes, but avoids rigid assumptions about their
                  detailed dynamics. Via a hierarchical Dirichlet
                  process (HDP) prior, the complexity of our
                  infinite state space robustly adapts to new
                  observations. We present a learning algorithm and
                  computational results that demonstrate the utility
                  of the HDP for tracking, and show that it
                  efficiently learns typical dynamics from noisy
                  data.},
        URL = {http://www.truststc.org/pubs/260.html}
    }
    

Posted by Emily B. Fox on 15 Jul 2007.
Groups: trust
For additional information, see the Publications FAQ or contact webmaster at www truststc org.

Notice: This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright.