so what's going on here let's turn to margin theory and see what it tells us so this margin theory is very classical it basically says that if you're very far from the decision boundary you should be very good why is that Pete Bartlett and Mendelssohn coalesced this almost 20 years ago now basically your generalization cap is upper bounded by some complexity measure divided by the margin so if you can ensure some sort of Rademacher complexity that's sort of size free independent of the explicit independent of the width then