keep that okay so that leads us to this idea of latent variable models right so so energy models f of x and y that are actually defined by minimizing a more elementary energy function e of X Y Z with respect to Z or by marginalizing over Z which is equivalent to defining f of X Y as minus 1 over beta which you can think of as a new verse temperature log integral over Z exponential minus beta the energy ok this is a log partition function for those of you know and this is a free energy which is like Oh F for physicists in the room so