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Statements

Subject Item
n2:RIV%2F68407700%3A21230%2F11%3A00187154%21RIV12-GA0-21230___
rdf:type
skos:Concept n14:Vysledek
dcterms:description
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. 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.
dcterms:title
Zero-Temperature Limit of a Convergent Algorithm to Minimize the Bethe Free Energy Zero-Temperature Limit of a Convergent Algorithm to Minimize the Bethe Free Energy
skos:prefLabel
Zero-Temperature Limit of a Convergent Algorithm to Minimize the Bethe Free Energy Zero-Temperature Limit of a Convergent Algorithm to Minimize the Bethe Free Energy
skos:notation
RIV/68407700:21230/11:00187154!RIV12-GA0-21230___
n14:predkladatel
n15:orjk%3A21230
n3:aktivita
n10:P
n3:aktivity
P(GAP103/10/0783)
n3:dodaniDat
n11:2012
n3:domaciTvurceVysledku
n18:3572471
n3:druhVysledku
n6:O
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
243001
n3:idVysledku
RIV/68407700:21230/11:00187154
n3:jazykVysledku
n13:eng
n3:klicovaSlova
belief propagation; bethe free energy; max-product; sum-product; max-sum
n3:klicoveSlovo
n9:sum-product n9:belief%20propagation n9:max-product n9:max-sum n9:bethe%20free%20energy
n3:kontrolniKodProRIV
[39E2F68B53D0]
n3:obor
n8:JD
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n4:GAP103%2F10%2F0783
n3:rokUplatneniVysledku
n11:2011
n3:tvurceVysledku
Werner, Tomáš
n12:organizacniJednotka
21230