Graphical Model instance of graphical model:=(V,E,g,) oD:variables ●EC2:constraints [g]=(0,1,...g-1:domain ●pe constraint( ●Φ=(中v)eyU(中e)eeE:factors Gibbs distribution u over all oE[g]v: 4(o)x中,(o,)中(o。) v∈V e∈EGraphical Model • Gibbs distribution µ over all σ∈[q]V : • V : variables • E ⊂ 2V: constraints • [q] = {0,1, …, q-1}: domain • Φ = (�v)v∈V ∪ (�e)e∈E: factors μ(σ) ∝ ∏ v∈V ϕv(σv) ∏ e∈E ϕe(σe) constraint e V ϕv ϕe instance of graphical model: I = (V,E, [q], )