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Loopy Belief Propogation and Gibbs Measures [article]

Sekhar Tatikonda, Michael I. Jordan
2012 arXiv   pre-print
We address the question of convergence in the loopy belief propagation (LBP) algorithm.  ...  Specifically, we relate convergence of LBP to the existence of a weak limit for a sequence of Gibbs measures defined on the LBP s associated computation tree.Using tools FROM the theory OF Gibbs measures  ...  Acknowledgments The authors would like to thank San joy Mitter , Kevin Murphy , and Mark Paskin for many helpful discussion.  ... 
arXiv:1301.0605v1 fatcat:psraecd2efe5tjq4xwa3rewake

Protein Interaction Networks: Protein Domain Interaction and Protein Function Prediction [chapter]

Yanjun Qi, William Stafford Noble
2011 Handbook of Statistical Bioinformatics  
In this chapter, we describe recent efforts to predict interactions between proteins and between protein domains.  ...  Protein-protein interactions directly contribute to protein functions, and implications about functions can often be made via PPI studies.  ...  The joint belief can then be represented with a Gibbs distribution by considering the classification of all proteins, Pr(X|PPInet) = exp[−U(x; θ )] Z(θ ) (5) where U(x; θ ) = −(αN 1 + β N 11 + γN 10 +  ... 
doi:10.1007/978-3-642-16345-6_21 fatcat:whl2kgd3rbfcjm3ljkd56tj7vq