Title
Field-Theoretic Methods for Intractable Probabilistic Models
Abstract
We describe a general technique for estimating the intractable quantities that occur in a wide variety of large-scale probabilistic models. The technique transforms intractable sums into integrals which are subsequently approximated via saddle point methods. When applied to sigmoid and noisy-OR networks, the technique yields a generic mean-field approximation as well as a second order Gaussian approximation that accounts for the pairwise correlations between random. variables in the network. In two example models, we observe that our lowest order approximation is identical to expressions obtained using Plefka's approach for deriving the TAP equations.
Year
Venue
Keywords
2003
SIAM PROCEEDINGS SERIES
random variable,probabilistic model
Field
DocType
Citations 
Mathematical optimization,Computer science,Artificial intelligence,Probabilistic logic,Machine learning
Conference
1
PageRank 
References 
Authors
0.52
5
4
Name
Order
Citations
PageRank
Dennis Lucarelli19910.27
Cheryl Resch210.85
I-Jeng Wang327731.46
Fernando J. Pineda4114266.46