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1,167 claims from 736 papers are on the record. 43 have been checked so far; the other 1,124 have no check with a result yet.

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Status: Unchecked ×Keyword: belief propagation ×Clear all

10 claims from 6 papers

1. Computer Science › Constraint Satisfaction and Optimization

   A new look at survey propagation and its generalizations

   Maneva, Mossel and Wainwright · Journal of the ACM · 2007

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   1. Unchecked“We then show that applying belief propagation---a well-known “message-passing” technique for estimating marginal probabilities---to this family of MRFs recovers a known family of algorithms, ranging from pure survey propagation at one extreme (ρ = 1) to stan…
   2. Unchecked“To that end, we investigate the associated lattice structure, and prove a weight-preserving identity that shows how any MRF with ρ > 0 can be viewed as a “smoothed” version of the uniform distribution over satisfying assignments (ρ = 0).”

2. Computer Science › Constraint Satisfaction and Optimization

   On the cavity method for decimated random constraint satisfaction problems and the analysis of belief propagation guided decimation algorithms

   Ricci-Tersenghi and Semerjian · Journal of Statistical Mechanics Theory and Experiment · 2009

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   1. Unchecked“We introduce a version of the cavity method for diluted mean-field spin models that allows the computation of thermodynamic quantities similar to the Franz-Parisi quenched potential in sparse random graph models.”

3. Computer Science › Constraint Satisfaction and Optimization

   Analytical and belief-propagation studies of random constraint satisfaction problems with growing domains

   Zhao, Zhang, Zheng and Xu · Physical Review E · 2012

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   1. Unchecked“Using rigorous methods, we show that solutions are grouped into disconnected clusters before the theoretical satisfiability phase transition point.”
   2. Unchecked“From an algorithmic point of view, we find that reinforced BP, which performs much better than all existing algorithms, allows us to find solutions efficiently for instances in the regime that is very close to the satisfiability transition.”

4. Computer Science › Constraint Satisfaction and Optimization

   The number of satisfying assignments of random 2‐SAT formulas

   Achlioptas, Coja‐Oghlan, Hahn‐Klimroth et al. · Random Structures and Algorithms · 2021

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   1. Unchecked“The proof is based on showing that the Belief Propagation algorithm renders the correct marginal probability that a variable is set to `true' under a uniformly random satisfying assignment.”
   2. Unchecked“We show that throughout the satisfiable phase the normalised number of satisfying assignments of a random $2$-SAT formula converges in probability to an expression predicted by the cavity method from statistical physics.”

5. Computer Science › Constraint Satisfaction and Optimization

   Local geometry of NAE-SAT solutions in the condensation regime

   Sly and Sohn · arXiv (Cornell University) · 2023

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   1. Unchecked“This limit exhibits a complicated non-Markovian structure arising from the space of solutions being dominated by a small number of large clusters.”

6. Computer Science › Constraint Satisfaction and Optimization

   Reweighted belief propagation and quiet planting for random K-SAT

   Krząkała, Mézard and Zdeborová · arXiv (Cornell University) · 2012

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   1. Unchecked“In particular the reweighting allows to introduce a planted ensemble that generates instances that are, in some region of parameters, equivalent to random instances.”
   2. Unchecked“We study the relation between clustering and belief propagation fixed points and we give a direct evidence for the existence of purely entropic (rather than energetic) barriers between clusters in some region of parameters in the random K-satisfiability prob…