@TechReport{Werner-TR-2011-14,
  IS = { zkontrolovano 13 Jan 2012 },
  UPDATE  = { 2011-12-29 },
  author =	 {Werner, Tom{\'a}{\v s}},
  title =	 {Zero-Temperature Limit of a Convergent Algorithm to Minimize
                  the Bethe Free Energy},
  institution =  {Center for Machine Perception, K13133 FEE Czech Technical
                  University},
  address =	 {Prague, Czech Republic},
  year =	 {2011},
  month =	 {December},
  type =	 {Research Report},
  number =	 {CTU--CMP--2011--14},
  issn =	 {1213-2365},
  pages =	 {12},
  figures =	 {1},
  authorship =	 {100},
  psurl =	 {[PDF]},
  project =	 {GACR P103/10/0783},
  annote = {After the discovery that fixed points of loopy belief
    propagation coincide with stationary points of the Bethe free
    energy, several reseachers proposed provably convergent algorithms
    to directly minimize the Bethe free energy. These algorithms were
    formulated only for non-zero temperature (thus finding fixed
    points of the sum-product algorithm) and their possible extension
    to zero temperature is not obvious. We present the
    zero-temperature limit of the double-loop algorithm by Heskes,
    which converges a max-product fixed point. The inner loop of this
    algorithm turns out to be known as max-sum diffusion. Under
    certain conditions, the algorithm combines the complementary
    advantages of the max-product algorithm and max-sum diffusion: it
    yields good approximation of both ground states and
    max-marginals.},
   keywords =	 {belief propagation, bethe free energy, max-product,
                   sum-product, max-sum},
}