that is plotted there is is in a sense not quite justified by our theory we just kind of ad hoc discretize the theory in the same way we would discretize to do the canonical stochastic descent it still seems working which is a bit puzzling to us it really kind of we don't really know why should it but so we didn't maybe even need to do this this persistent stochastic guidance descent for this theory to work or maybe yes maybe there is some small error that doesn't show up on you know on this comparison with numeric