Team for Research in
Ubiquitous Secure Technology

Decentralized Detection in Undirected Network Topologies
O. Patrick Kreidl, Alan S. Willsky

Citation
O. Patrick Kreidl, Alan S. Willsky. "Decentralized Detection in Undirected Network Topologies". IEEE 2007 Statistical ignal Processing Workshop, August, 2007.

Abstract
Consider the well-studied decentralized Bayesian detection problem with the twist of an undirected network topology, each edge representing a bidirectional (and perhaps unreliable) finite-rate communication link between two distributed sensor nodes. Every node operates in parallel, processing any particular local measurement in two (discrete) decision stages: the first selects the symbols (if any) transmitted to its immediate neighbors and the second, upon receiving the symbols (or lack thereof) from the same neighbors, decides the value of its local state. We adapt the team solution already known for directed acyclic networks and establish conditions such that the iterative numerical algorithm to collectively optimize the local decision rules admits an efficient message-passing interpretation, featuring an asynchronous distributed implementation in which total computation and communication overhead scales only linearly with the number of nodes. In sharp contrast to the directed case, this message-passing algorithm retains its global correctness and convergence guarantees without restrictions on the network topology.

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Citation formats  
  • HTML
    O. Patrick Kreidl, Alan S. Willsky. <a
    href="http://www.truststc.org/pubs/264.html"
    >Decentralized Detection in Undirected Network
    Topologies</a>, IEEE 2007 Statistical ignal Processing
    Workshop, August, 2007.
  • Plain text
    O. Patrick Kreidl, Alan S. Willsky. "Decentralized
    Detection in Undirected Network Topologies". IEEE 2007
    Statistical ignal Processing Workshop, August, 2007.
  • BibTeX
    @inproceedings{KreidlWillsky07_DecentralizedDetectionInUndirectedNetworkTopologies,
        author = {O. Patrick Kreidl and Alan S. Willsky},
        title = {Decentralized Detection in Undirected Network
                  Topologies},
        booktitle = {IEEE 2007 Statistical ignal Processing Workshop},
        month = {August},
        year = {2007},
        abstract = {Consider the well-studied decentralized Bayesian
                  detection problem with the twist of an undirected
                  network topology, each edge representing a
                  bidirectional (and perhaps unreliable) finite-rate
                  communication link between two distributed sensor
                  nodes. Every node operates in parallel, processing
                  any particular local measurement in two (discrete)
                  decision stages: the first selects the symbols (if
                  any) transmitted to its immediate neighbors and
                  the second, upon receiving the symbols (or lack
                  thereof) from the same neighbors, decides the
                  value of its local state. We adapt the team
                  solution already known for directed acyclic
                  networks and establish conditions such that the
                  iterative numerical algorithm to collectively
                  optimize the local decision rules admits an
                  efficient message-passing interpretation,
                  featuring an asynchronous distributed
                  implementation in which total computation and
                  communication overhead scales only linearly with
                  the number of nodes. In sharp contrast to the
                  directed case, this message-passing algorithm
                  retains its global correctness and convergence
                  guarantees without restrictions on the network
                  topology.},
        URL = {http://www.truststc.org/pubs/264.html}
    }
    

Posted by O. Patrick Kreidl on 16 Jul 2007.
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