31 citations · 125 across the 11 of their papers we have counts for
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cs.DM2010★ 7 cited
Discrete geometric analysis of message passing algorithm on graphs
Yusuke Watanabe
We often encounter probability distributions given as unnormalized products of non-negative functions. The factorization structures are represented by hypergraphs called factor gra…
cs.AI2010★ 26 cited
Graph Zeta Function in the Bethe Free Energy and Loopy Belief Propagation
Yusuke Watanabe, Kenji Fukumizu
We propose a new approach to the analysis of Loopy Belief Propagation (LBP) by establishing a formula that connects the Hessian of the Bethe free energy with the edge zeta function…