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- W3105831715 abstract "Let $h(0),h(1),dots,h(k)$ be a symmetric concave sequence. For a $(d,k)$-biregular factor graph $G$ and $xin {0,1}^V$, we define the Hamiltonian [H_G(x)=sum_{fin F} hleft(sum_{vin partial f} x_vright),] where $V$ is the set of variable nodes, $F$ is the set of factor nodes. We prove that if $(G_n)$ is a large girth sequence of $(d,k)$-biregular factor graphs, then the free energy density of $G_n$ converges. The limiting free energy density is given by the Bethe-approximation." @default.
- W3105831715 created "2020-11-23" @default.
- W3105831715 creator A5081990576 @default.
- W3105831715 date "2020-11-12" @default.
- W3105831715 modified "2023-10-11" @default.
- W3105831715 title "On the free energy density of factor models on biregular graphs" @default.
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