Structured variational methods for distributed inference: convergence analysis and performance-complexity tradeoff

  • Authors:
  • Yanbing Zhang;Huaiyu Dai

  • Affiliations:
  • Department of Electrical and Computer Engineering, NC State University, Raleigh, N.C.;Department of Electrical and Computer Engineering, NC State University, Raleigh, N.C.

  • Venue:
  • ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
  • Year:
  • 2009

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Abstract

In this paper, the asymptotic performance of a recently proposed distributed inference framework, structured variational methods, is investigated. We first distinguish the intra- and inter-cluster inference algorithms as vertex and edge processes respectively. Their difference is illustrated, and convergence rate is derived for the intra-cluster inference procedure which is based on an edge process. Then, viewed as a mixed vertex-edge process, the overall performance of structured variational methods is characterized via the coupling approach. Tradeoff between complexity and performance of this algorithm is also addressed, which provides insights for network design and analysis.