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Graphical Model ·Gibbs distribution u over all o∈[q]': a(o)cΠ中,(o,)Π.(o,) G(V,E) v∈V e=(u,v)∈E ●hardcore morel: V [q]={0,1} grve otherwise if oy=0 A>0 is (local)fugacity if o=1Graphical Model • Gibbs distribution µ over all σ∈[q]V : μ(σ) ∝ ∏ v∈V ϕv(σv) ∏ e=(u,v)∈E ϕe(σu, σv) ϕ ϕv e u v G(V,E) • hardcore morel: [q] = {0,1} ϕe(σu, σv) = { 0 if σu = σv = 1 1 otherwise ϕv(σv) = 1 1 + λv if σv = 0 λv 1 + λv if σv = 1 λv > 0 is (local) fugacity
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