Clearly, Max-Ent is a rather different type of model from Stochastic OT, not only in the use of constraint ordering, but also in the objective function (conditional likelihood rather than likelihood/posterior).
by taking advantage of the interdependence of G and Y , the Gibbs sampler provides a Markov chain that converges to p(G, Y |D), which allows us to return to the original subspace and derive p(G|D) -the target distribution.