that's you use these augmentations to kind of heuristically tell the model what it should be invariant to and that is that is a very powerful technique uh to regularize basically to to robustify these deep deep methods and this is used the same here so already in the teacher model we train with these noise and then step two use a normal i.e not noise teacher model to generate soft or hard pseudo labels for the clean i.e not distorted unlabeled images and this is important they stress this here that when you when you label the