• DocumentCode
    3331859
  • Title

    Universality of the Local Marginal Polytope

  • Author

    Prusa, Daniel ; Werner, T.

  • Author_Institution
    Center for Machine Perception, Czech Tech. Univ., Prague, Czech Republic
  • fYear
    2013
  • fDate
    23-28 June 2013
  • Firstpage
    1738
  • Lastpage
    1743
  • Abstract
    We show that solving the LP relaxation of the MAP inference problem in graphical models (also known as the min-sum problem, energy minimization, or weighted constraint satisfaction) is not easier than solving any LP. More precisely, any polytope is linear-time represent able by a local marginal polytope and any LP can be reduced in linear time to a linear optimization (allowing infinite weights) over a local marginal polytope.
  • Keywords
    computational geometry; linear programming; minimisation; LP relaxation; MAP inference problem; energy minimization; graphical models; infinite weights; linear optimization; linear time representation; local marginal polytope; min sum problem; weighted constraint satisfaction; Complexity theory; Encoding; Equations; Face; Graphical models; Optimization; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Vision and Pattern Recognition (CVPR), 2013 IEEE Conference on
  • Conference_Location
    Portland, OR
  • ISSN
    1063-6919
  • Type

    conf

  • DOI
    10.1109/CVPR.2013.227
  • Filename
    6619071