there so that's that's kind of an interesting you know interpretation of what this stochastic model stochastic process actually is this is a interpretation of how kind of the implicit regularization might be coming out in these type of problems the second term is directly the noise coming from the stochastic grading descent because you might be saying that here i have batches that are still extensively big so maybe the noise doesn't matter so much so it actually does it's still explicitly there even in this effective