and the stochastic process actually has several types of noise so it has for instance a noise that corresponds to the regularization lambda which is just the ordinary reach legalization but it also has a noise that plays exactly the same role of the rich regularization but that came from the dynamics that is not there explicitly so this is some kind of implicit rich regularization that comes from this variable s of t that was the variable in the in the stochastic guiding descent that was deciding which sample is there and which sample is not