P(t)(x) is the expected histogram for the distribution at time t. \nThis implies that the corresponding clique potential update equation is given by: \n>.it +1) = >.it ) + log 'lfJ~bs - log 'lfJit ). \nIf we initialize GIS so that the initial distribution is the uniform distribution, \np(O) (x) = L -N, then the distribution after one iteration is p(1) (x) ex \ni.e. \ne2::a