teacher and i think this the whole paper it doesn't it doesn't state it explicitly but i think the whole paper everything they do here is to kind of force or allow the student to become better than the teacher by by giving more noise by making the student larger by making the batch size for the student larger and so on so you you want to sort of inject as much invariance as you can and that will make the student learn more so they say here noising student when the student is deliberately noised in its it is trained to be consistent