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Keyword: Boolean constraint satisfaction problems ×Clear all

3 claims from 1 paper

1. Computer Science › Constraint Satisfaction and Optimization

   Belief propagation algorithms for constraint satisfaction problems

   Sinclair and Maneva · 2006

   The thesis applies belief propagation to Boolean constraint problems like random 3-SAT, links it to survey propagation, studies solution-space structure, and applies the method to source coding.

   Unchecked3 claims
   Show 3 claims

   1. UncheckedSurvey propagation, a leading method for random 3-SAT near the conjectured satisfiability threshold, is shown to be a form of belief propagation.“In particular, we show that survey propagation, which is the most effective heuristic for random 3-SAT problems with density of clauses close to the conjectured satisfiability threshold, is in fact a belief propagation algorithm.”
   2. UncheckedFor some structural properties of the solution space of Boolean CSPs, there are two kinds of problem, but the split differs markedly from Schaefer's.“We show that with respect to some structural properties such as the diameter of the solutions space and the hardness of deciding its connectivity, there are two kinds of Boolean CSPs, but the boundary of the new dichotomy differs significantly from Schaefer's.”
   3. UncheckedExperiments suggest a belief-propagation compression method using dual low-density parity check codes performs very close to the rate distortion limit.“We give experimental evidence that this method yields performance very close to the rate distortion limit.”