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A Cluster-Cumulant Expansion at the Fixed Points of Belief Propagation
Max Welling, Andrew E. Gelfand, Alexander T. Ihler
We introduce a new cluster-cumulant expansion (CCE) based on the fixed points of iterative belief propagation (IBP). This expansion is similar in spirit to the loop-series (LS) rec…
Generalized Belief Propagation on Tree Robust Structured Region Graphs
Andrew E. Gelfand, Max Welling
This paper provides some new guidance in the construction of region graphs for Generalized Belief Propagation (GBP). We connect the problem of choosing the outer regions of a LoopS…
On the Choice of Regions for Generalized Belief Propagation
Max Welling
Generalized belief propagation (GBP) has proven to be a promising technique for approximate inference tasks in AI and machine learning. However, the choice of a good set of cluster…
Structured Region Graphs: Morphing EP into GBP
Max Welling, Thomas P. Minka, Yee Whye Teh
GBP and EP are two successful algorithms for approximate probabilistic inference, which are based on different approximation strategies. An open problem in both algorithms has been…