Variational Inference over Combinatorial Spaces
نویسندگان
چکیده
A Extended derivations and proofs A.1 Markov random field reformulation We prove in this section that under the Rich Sufficient Statistics condition (RSS)1, the log-partition function is the same in the original exponential family and in the bipartite MRF described in Section 2.2. Let us denote the latter log-partition function by Ã(θ). We first prove the following identity, introduced in the main paper as Equation (3): Lemma 1 ∑ s1∈{0,1} ∑ s2∈{0,1} · · · ∑ sJ∈{0,1} I ∏
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