to this problem as we did in this paper here again open problem would be of course challenge once once one goes in detail through what this color stochastic process is can we actually prove that it is equivalent to what the grad what the stochastic gradient flow is doing in in this problem and you know once you compute it numerically all these uh quantities uh from these equations then you can compute everything else including the training loss the test laws the generalization here the corresponding accuracy is this